diff --git "a/data/dm_maths/full_data_1/2170_11255.jsonl" "b/data/dm_maths/full_data_1/2170_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2170_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 149 minutes after 2:26 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 2260\/60)\/(28\/(-126))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 - 4 = 0. Let n(h) be the first derivative of h**2\/2 - 4*h + 9. Let t be n(d). Let i(c) = -9*c + 1. Give i(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:51 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6797*q**5\/2 + 49675*q**4\/2 + 19830*q**3 - 8230*q**2 + 176*q = 0 for q.\nAnswer: -1, 0, 22\/971, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -18, -108, -5, -63 in descending order.\nAnswer: 2, -2, -5, -18, -63, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -3*s**6\/20 - s**5\/30 - s**4\/24 + s**2 - 10*s - 12. What is q(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 6) to base 16\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 5*q + 5. Let x(s) = s**2 + s + 1. Let h(m) = -2*n(m) + 10*x(m). Let d(t) = -t**2 - 1833*t + 5*t**2 + 1833*t. Calculate h(d(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, z: 1, f: 1, i: 1}. What is prob of sequence wbi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*b + 174 + 29 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/9 + 1108*v**2\/9 - 4*v\/9 - 1108\/9.\nAnswer: 4*(v - 1)*(v + 1)*(v + 277)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4 + 1. Let t be (0*(-1)\/2)\/n. What is the remainder when 61 is divided by t - -1 - 4 - -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 14*q + 29. Let p(d) = 2*d**2 - 2*d - 12. Let z be p(4). What are the prime factors of i(z)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 18*a**2 + 35*a - 112. Let y be i(-20). Let t(l) = 2*l**3 + 25*l**2 + 7*l - 64. Give t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15238 - 15220. Put o, 0, -58 in descending order.\nAnswer: o, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 7. Let g be r(6). Let z(d) = 5*d + 2. Let b be z(4). Suppose 5*a - 12 = -s, -g = 2*a - 5*s - b. Solve a = -4*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5442, -5383, -5286, -5151, -4978, -4767?\nAnswer: -4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m + 214. Is t(10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16263173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257 + 182. What is u rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from apepptterttttpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwpw when four letters picked without replacement from wwwfpwfpqupfpp?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Suppose 3*x - 72 = w*k, -46 = -2*x + 2*k + 2. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 15830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -618101, -1236175, -1854253, -2472335?\n\"Answer: -2*u**2 - 618068*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 1670?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 102 + (-27 - 26)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x - 3*a + 11, -a - 23 = -5*x. Let l = 25 - 5. Let r = 20 - 11. Solve -r*t + x*t = l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 3*s - s + (-8 - 15 + 3)*(-s + 4*s - 2*s) + (-s - 2*s + s)*(4 - 5 - 1) + 12*s - 7*s + 2*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20607855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 2*q**5\/15 - 7*q**2. Let b(m) be the second derivative of -1\/6*m**3 + 0 + 0*m**2 + 3*m. Determine b(k(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 11*c**4\/4 - 3*c**3 + 10. Find the third derivative of a(p) wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vogvvvovyvgogyq. Give prob of picking 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 816 = -2*w. What is the first derivative of 2 - w*y**4 + 32*y**4 - 35*y**4 wrt y?\nAnswer: -204*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 2*o + 94, 5*o + 35 = u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 5, 15, 56, 3 in descending order.\nAnswer: 56, 15, 5, 3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 28*n**2 - n - 14. Let t be 8\/(-10) + (-132)\/10. Let p be w(t). Solve p = 2*b - 8, 16 = 2*q - b + 4*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, a: 1, v: 2}. Give prob of sequence fa.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.67428 grams to tonnes.\nAnswer: 0.00000267428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -873 + 990. Let t = 0 + 2. List the prime factors of (t + -1)\/(3\/y).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + a**2 + 0*a**2 + 5*a)*(18*a**3 - 11*a**3 - 12*a**3 + (7*a**3 + 7*a**3 - 5*a**3)*(-5 + 0 + 2) + (2*a - a - 3*a)*(-2*a**2 - a + a)).\nAnswer: -28*a**5 + 84*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-1 - 6) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let v(n) = 0*n + n**2 + 6 + n + r*n. List the prime factors of v(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002967757 to seven dps.\nAnswer: 0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15.00222. What is h rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -3, -5, 3503 in decreasing order.\nAnswer: 3503, -2\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6*1508542\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/462*(-12)\/5*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2\/19, 1048, 12 in decreasing order.\nAnswer: 1048, 12, 3, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1217765776, 1217765772, 1217765766, 1217765758?\nAnswer: 1217765748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -48. Let o = 57 - a. Let q be o*(-7)\/(-2) + 3. What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213218.\nAnswer: 2, 19, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -17396468671 and 4.\nAnswer: -17396468667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f + 37*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 23. Let l = 1363\/110 - 255\/22. What is the nearest to 0 in 2\/7, l, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 160*q\/7.\nAnswer: -2*q*(7*q + 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183, 135, 55, -57?\n\"Answer: -16*a**2 + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186687 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 0 (c) 2\/7 (d) 2\/11 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33405?\nAnswer: 3, 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 16. Which is smaller: 1\/5 or v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4\/3, 4154, 6, -91 in descending order.\nAnswer: 4154, 6, -0.3, -4\/3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.49, -3\/2, -2, 4, 11080.\nAnswer: -2, -3\/2, -0.49, 1\/4, 4, 11080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 33231?\nAnswer: -5\/33231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315544530 + -4?\nAnswer: -315544534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00125362783 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8194, -16529, -24864?\n\"Answer: -8335*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 5:43 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 33\/7, 2\/7, -42641, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2\/3*b**4 - 6*b + 0 + 0*b**3 + 0*b**2. Let o(q) = 2*q. Calculate o(m(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2\/19, -2, 18, 5 in decreasing order.\nAnswer: 18, 5, 2\/19, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6\/3 + 818*l**5\/5 - 22397*l**4 + 1223620*l**3\/3 - 2959925*l**2 + 9702250*l - 3082. What is z in k(z) = 0?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -17*r - 1843. Let m be -2*(-6)\/r - (-2196)\/646. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2179*d + 8 = -2175*d, -3*m = -3*d - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2*o - 2. Let f(z) be the third derivative of -z**4\/8 + z**3\/2 - z**2 + 1882*z + 5. Let r be 1 - (0 + -1 + 8). Calculate r*f(l) - 9*d(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -84. Let a(q) = 31*q - 42. Let w be a(s). Find the second derivative of -255*f**4 - 6*f + w*f**4 - 21*f wrt f.\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**7\/105 + 2*x**6\/75 - 18*x**5\/25 - 27*x**4\/5 - 63*x**3\/5 + 2857*x. Suppose l(p) = 0. Calculate p.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2057) + 0)**2*-5 - (sqrt(2057) - 2*(sqrt(2057) + 2 + sqrt(2057))))*-6.\nAnswer: -308430 + 990*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*l + 4*f + 35, -15 = -3*l - 4*f. Suppose 939 + 279 = 2*u. Suppose g = 4, -3*g + u - 2852 = -l*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 2*s + 2. Suppose -3*c - 2*g + 25 = 0, -4*g + 3*g = -3*c + 10. Suppose n + 4*u = c*n - 4, 3*n = -2*u - 12. What are the prime factors of z(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*18\/441)\/(27\/(-21))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:44 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/1330*(-15)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86 or -5755\/67?\nAnswer: -5755\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4457.2 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n + 23. Let i be g(0). Let k(z) = z**2 - 2*z - 5. Let s be k(-6). Let b = s - i. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8722 + 8723. Solve -4*l - a = 3*u, -2*u + 2 = l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 0.4 (c) -3 (d) 2\/17 (e) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15670466 is divided by 1088.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 53. Let i(o) = o + 54. Let b(f) = 7*c(f) - 6*i(f). Let z be b(-23). Solve -3*q + z = 3*m, -2*m + 3 = -2*q + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 95.99959. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.1 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3129*r - 3118*r = 88. What is the greatest common divisor of r and 1688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a. Let u be (-29 - -28) + 1992\/3 + 2. Let x = 665 - u. Solve a = -3*t - x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -23*g - 2. Let z(r) = -35*r - 2. Let y(k) = -3*h(k) + 2*z(k). Let b = -4 + 13. Give y(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/2)\/((-3)\/(-4)). Let t = 139 + -135. What is the highest common divisor of t and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166\/(2 - -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 + 104 = -2*x. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 0*s**3 - 201 - 211 + 412.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2581907 is divided by 1113.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a = 163*a + 1038 - 70 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*k - 294, 3*a - 577 = 3*k - 241. Which is smaller: -113 or k?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + 16 + (3 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42898454?\nAnswer: 2, 21449227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 3, 4*t - 3*u = 19. Let p = 10 - t. What is the highest common factor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 20. Let y = k + 3. Solve 0 = 4*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205 + -2522524?\nAnswer: -2522315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6 - 0. Let s = -11 + n. Let w be (2\/(-6))\/(s\/120). Solve w*i = i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*g = -14 - 1, -4*m = -2*g - 78. Let i be -2 + 2\/4*6. Solve 5*l + m = 2*b, l - i = -4*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -78*b + 132. What is the smallest common multiple of 77 and z(0)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 20*j - 99. Calculate a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, 5, -20?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 4.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5019 - 134. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*n**4 - 10*n**4 - n - 6*n**4 + n**3 + 4*n + n**2 as z*n**4 + d*n + s*n**2 + m + b*n**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/156 and -5\/132.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110.13 + -110.23. Which is the second biggest value? (a) -0.03 (b) 0.4 (c) u (d) -0.132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -3*k**5\/5 + 7*k**3 + 9*k**2 - 361. Suppose z(g) = 0. What is g?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3401 + 6233. List the prime factors of j.\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1549 * -0.3\nAnswer: -464.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(117)\/sqrt(9) - sqrt(52)\/(sqrt(4) - sqrt(576))) + -5*(sqrt(637) + 4*sqrt(637)*2))**2.\nAnswer: 153032893\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:11 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 256, 413, 582, 757?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - 2*k**2)*(10*k - 10*k + 3*k**2) - 252*k**4 - 3*k**2 + 4*k**2 + 165*k**4.\nAnswer: -84*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2315 by -786.\nAnswer: -2315\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449 = 24*u - 347 - 270 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -651 + 1203. Let i = 552.2 - p. Let w = 1 + -4. Which is the second biggest value? (a) 7\/5 (b) i (c) w (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405 * 11709\nAnswer: -4742145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - (-1 + 0) - (-28 + 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -192412, -192489, -192566?\n\"Answer: -77*w - 192335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 132.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*h**5 - 2*h**4 - 296*h**3 + 74*h**2 + 288*h - 72 = 0. Calculate h.\nAnswer: -6, -1, 1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4898 by 2449.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 5585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 - 3*v + 1. Let o be s(4). Let b(w) = w**2 - 9*w - 8. Let q be b(10). Let y = q - 0. What is the smallest value in 1\/2, o, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57.3 - -57.3227. Round k to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 10*z + 12. Let a be u(-9). Let j(s) = 23*s**2 - 15*s**2 - 4*s - a - 9*s**2 + 0*s. Give j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -129*s + 130*s. What is the least common multiple of s*(-16)\/(-12)*18\/(-24) and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**2 - 36*q**2 + 72*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-22)\/(-121) - (-71)\/35)*-1?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 5*z = 3*z + 12, z = 2*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 1. Let r(l) be the third derivative of 5\/24*l**4 - 1\/60*l**5 + 0 + 0*l - 1\/3*l**3 + 2*l**2. Let o be r(5). Determine f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -937*j**3 - 899 wrt j?\nAnswer: -2811*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/16)\/((-2)\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -51. Suppose s = -4*v + 89, 0 = c*s - 0*v + v - 300. What are the prime factors of s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197776?\nAnswer: 2, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*k = -28, 5*k + 2 + 10 = 4*b. What are the prime factors of (b\/(-4))\/(1\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 2*x + 12. Suppose l - 3*l = x*a - 35, 0 = 5*a - 5*l - 50. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162011319 to the nearest 10000.\nAnswer: 162010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j + 2*j)*(-5*j + 3*j + 3*j)*(-j**2 - 3 + 12 - 6).\nAnswer: -2*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2749 - 1424. Let j = -1325.681 + c. What is j rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:38 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139868272 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258226\/143 + 19872\/11. Find b such that -4\/13*b**2 - 2\/13*b**4 + 0*b - 4\/13*b**5 + j*b**3 + 0 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11906*j + 404801. What is p(-34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(((-42)\/(-240))\/7). Let k = 303 + -430. Let j = x + k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-5)*(21 + -31) - 4. Suppose 8143 + 12733 = q*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4 - 80*w**3 - 1092*w**2 - 5408*w - 4394 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/30 - 0)*(-20)\/76*-19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6\/1923331 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155.276 - 155. What is i rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123604303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 108, 78?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 + 6*n - 1. Let c be t(5). Suppose c*x = 5 + 3. Let z = 90 + -87. What is the remainder when z is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61384, -61352, -61348, -61378, -61448, -61564, -61732, -61958?\nAnswer: -62248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k**2 - 5*k - 45*k**2 - 24*k**2 + 25*k**2 in the form x*k**2 + y*k + l and give x.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let u be i(-5). Suppose -187 = -6*r - u*r. Calculate the remainder when r is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -947a25 (base 12) in base 2?\nAnswer: -1000111010010011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2877 - 1530. Suppose j = 5*o - 2245, -3*o - 22*j = -17*j - l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smkkkkm. Give prob of picking 2 m and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1424955 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*r + r = 22, 0 = -5*a - 5*r - 60. Is -14 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -313, -612, -945, -1324, -1761?\nAnswer: -2268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2038808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4592 + -3582. What is the greatest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17953 = -53*c - 18112 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.53 and -5?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -1\/2420.\nAnswer: -0.5, -1\/2420, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -400*z + 396*z + 3*a, 5*a = -6*z - 3 + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - t + 7390 = t, 3*j - 7365 = 3*t. Let u = 13437 - j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 2, q: 1, k: 7, w: 2, j: 1}. What is prob of sequence vrq?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -154?\nAnswer: 27.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68522 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3910663.\nAnswer: 17, 461, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**(-5\/6)*q**(-9)\/(q**5*q))\/((q*q**(-6)*q)\/q**1*(q\/(q\/(q*q\/(q*q*q*q**(-2\/9)*q*q))))**(-10\/11)) assuming q is positive.\nAnswer: q**(-2645\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 4975.\nAnswer: 59700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111908, -4447674, -10007282, -17790732, -27798024, -40029158?\nAnswer: -54484134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*l = 28, -94*i + 92*i = -4*l for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.043 - 40. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 422309 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-8))\/(24\/(-64)). Suppose u*y - 3*k = -4 + 37, -2*y - 3*k + 51 = 0. What is the remainder when 21 is divided by (-1)\/((-6)\/4)*(y - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 16, 0.01, -0.77 in decreasing order.\nAnswer: 16, 0.01, -1\/10, -0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n - 30. Let t(a) = -13*a + 59. Let d(m) = 11*o(m) + 6*t(m). What is d(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + ((-3)\/1)\/3 + 646. Suppose -2*k = -2*v + v - j, v = 0. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -378, -357, -336, -315, -294?\n\"Answer: 21*g - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 80. Let n be b(-31). Suppose -n*s + 2160 = -8*s. Is 34 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - p**2 - 24*p + 91. What is the tens digit of d(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 20. What is the remainder when c(-5) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.6 and 0.0117.\nAnswer: 4.6117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {s: 4, c: 5, x: 5, u: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*i - 25, i - 4 = 2*a + 4*i. Let s be (-12696063)\/a - (-21)\/(-35). Suppose -20860788 = 6*r + s. What is r rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 41\/4 (c) -5 (d) 309.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h + 4. Let y = -24 + 21. Does 11 divide x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2265314162?\nAnswer: 2, 1132657081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - (-2)\/(-6)*-21. Put 3, a, 1 in descending order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005853 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2211705.677 + 1120.\nAnswer: -2210585.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1426, 62, 7.\nAnswer: -1426, -5, 7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z - 6. Let t be r(4). Suppose -o + 1512 - 6844 = -2*u, t*u + 4*o - 5312 = 0. Does 30 divide 2\/5 - u\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137369687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(612) + ((sqrt(612) + sqrt(612) + -3*sqrt(612)*-1)**2 - sqrt(612)) + sqrt(612).\nAnswer: 6*sqrt(17) + 15297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9036178 and 13186.3?\nAnswer: 9022991.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 1, -12, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4515 + 125364?\nAnswer: 132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m**3 - 9679682*m**2 + 618233901 wrt m?\nAnswer: -9*m**2 - 19359364*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 + 1?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-672)\/(-40))\/((-1)\/(-5)). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002001 (base 4) to base 2\nAnswer: -1000010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0 - 1\/20*x**5 - 4*x**2 + 2\/3*x**3 - 2\/3*x**4 + 4*x. What is the remainder when v(-9) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209857 is divided by 2689.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 - z**2 + 2*z - 1. Let d be r(1). Let y(u) = 15*u**2 + u + 2. Let h be y(4). Let j = -165 + h. What is the highest common factor of j and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(4 + 4 + 1)*(-8 + 5*r + 8) - 2*r**2 + 4*r**2 - 3*r**2.\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -283 + 29?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-3\/4)*u))\/(u*u**(-2\/35)))\/((u\/((u*u*u**10)\/u))\/u**(-5\/7)))**(-48) assuming u is positive.\nAnswer: u**(-13596\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 878*d**2 + 17*d + 2?\nAnswer: 1756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpbpww. Give prob of sequence bw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -6 + 3 - (-1223 + -7 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0 + 3*r + 3\/8*r**4 - 25\/6*r**3 + 0*r**2 + 1\/120*r**5. Let z(f) be the second derivative of a(f). Calculate z(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -204, -451, -778, -1173, -1624, -2119?\n\"Answer: 2*t**3 - 58*t**2 + 5*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/5 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 93. Let k be 69\/(-6)*-1*(-7 - -5). Let m be l(k). Solve -m = 9*u - 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519655.115 rounded to the nearest one thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, y: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 - 586*o + 25816\/11.\nAnswer: -2*(o - 4)*(o + 3227)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583723 is divided by 1087.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - a - 11, -19 = -2*b + 5*a. Let x(w) = 3*w**2 + w + 2. Let q be x(2). Let v be (-4)\/q + 27\/b. Solve v*f + 14 = 3*u, -u - f = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let l = -4 - -3.6. Let z = -0.4 - l. What is the second biggest value in -2, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342698 is divided by 3327?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2\/13, 1\/25, 3.\nAnswer: -4, -3, 1\/25, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -229. Let n be (76\/(-6))\/(o\/120). Calculate the greatest common divisor of n and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 40 = -122 - 9 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -7. Suppose 5*a - 3*a - 6 = 0. Suppose 2*f - y = -2*d + 25, a*d - 75 = -5*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6*l = 2. Suppose l*f + 65 = 7*f. Let t = f - 8. Solve t = 5*q + o - 10, -3*o = -3*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*1*sqrt(51)\/sqrt(3)*3 + ((sqrt(68)\/sqrt(4) + 2)**2 - (5 + sqrt(17) + 1)**2 - ((sqrt(17) - (-1*(1 + sqrt(17)) - sqrt(17))**2) + sqrt(68)*-6)).\nAnswer: -8*sqrt(17) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 26*m**2 - 25*m + 5. Let q be j(-25). Sort -2\/25, q, -1.\nAnswer: -1, -2\/25, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/7 (c) -2\/7 (d) -31 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**5)\/c**(-6))**(-2\/9)*(c*(c*c**(-1))\/c*(c\/(c*c**(3\/4)))\/c)\/(c**0\/c*c\/c**(-1)) assuming c is positive.\nAnswer: c**(-115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1332\/72 - 17)\/(1\/(-6)). Let u(n) = n - 152. Let v(l) = -38. Determine g*v(b) + 2*u(b).\nAnswer: 2*b + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2134\/(-55) + (-1)\/5. Let v = -36 - w. Suppose -2*i - c = -1269, v*c = -3*i + c + 1903. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563988451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6274 - 6274.0000006371. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 15376 - 13068 = -4*p, -p - 28419 = -4*a. Does 38 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 2*v - 5*a, 2*v - 2*a + 136 - 752 = 0. Let f = -3386\/11 + v. What is the nearest to 0.21 in 0.4, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31936 by -3992.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/6 - f. Let w(o) = -o**2 + 3*o**2 + 0*o**2 + 0*o**2. Determine p(w(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-9) - (-6)\/(-27). Let q(x) = -5 - 5 - 4*x - 6*x - d - x**2. Let f be q(-7). What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 + -120. Solve -2*f = 4*z + 4, o*z + 10*f + 27 = 13*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 86618?\nAnswer: -1\/43309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10151 (base 9) in base 13?\nAnswer: -3076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -2026b359?\nAnswer: 2026b362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c - 37. Determine b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*y - l - 53528 = -154*y, -y = -4*l - 26750. List the prime factors of y.\nAnswer: 2, 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.240031 * -33\nAnswer: 40.921023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -7*s**5\/60 - s**3 - 7*s**2. Let v(x) = -x**2 - 1. Determine -6*v(c) + w(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-342)\/36 - -12)*25\/((-225)\/162)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1648*-3.\nAnswer: -4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.187 and -105520?\nAnswer: -19732.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13*75\/50*12\/(-54).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqqjjqjjj. What is prob of picking 2 q and 1 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6476 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f - 24*f = -51 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10611416 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75409282 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/7 - 136509*a\/7 + 136508\/7 = 0 for a.\nAnswer: 1, 136508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11 = -4*d, 2*d + 2*w + 1 = 3. Let c be ((-36)\/27)\/(2\/(-9)). Solve -16 = c*j - d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 116344d3?\nAnswer: -116344d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446.898 centuries in decades?\nAnswer: 74468.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + 151. Let h = z + 113. Put -3, 4, h, 3 in descending order.\nAnswer: h, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5546*b**2 + 997*b**4 + 2773*b**2 + 2773*b**2 + (1 - 6 + 4)*(-2*b**4 + 0*b**4 - b**4).\nAnswer: 1000*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 6*n**2 - 7*n. Suppose -60*y + 55 = -55*y + 4*t, 4*t = 20. Calculate o(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 23 = 13. Suppose -14*f + 650 = -q*f. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152323 > 1152321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 74737\/2 = 37368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3178*y - 8 = 3175*y + 3*s + 31, -4*y + 58 = 2*s for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 3, y: 4, z: 2}. Give prob of sequence yl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210010 - -2?\nAnswer: 100210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64179 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*b**2 + 3*b**2 + 9*b**2 + (3 - 1 - 4)*(b**2 - 3*b**2 + 3*b**2) + (3*b - 3*b - 2*b)*(3*b - 3*b + b) + 4*b**2 - 2*b**2 - b**2.\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1) - 1)*-1. Let l(z) = 9*z - 1. Suppose 4*y = -2*r + 10, -3*r + y + 5 = -2*r. What is the smallest common multiple of r and l(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 1}. Give prob of sequence vv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -i + 3*i, 4*q + 2*i = 2134. Let z = -47407\/5 - -550927\/55. Let a = z - q. Which is bigger: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -19. Let s = 9 + -6. Suppose -307 = -3*u - 2*j, -4*u + s*j + 381 = -0*u. Calculate the highest common factor of u and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-10115)\/102)*21\/(-12)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-25)*1*155\/(-186)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.044 + 0.144. Which is the second biggest value? (a) 2\/17 (b) -1 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111440349.987 + 0.195?\nAnswer: 1111440350.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 + 1.33625471.\nAnswer: 5.23625471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42348089 to the power of 1\/2, to the nearest integer?\nAnswer: 6508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 8*b - 4*i = 3, -5*i = -b + 18. Let m be 30*(2\/(-8))\/(b\/(-6)). Solve -m*n = -6*n - 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/2 (c) -3 (d) 0.1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*r - 3*c + 5, -2*c - 90 = -4*r. What is the highest common factor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -78811?\nAnswer: 1\/78811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 8. Suppose -5*n = -2*m - 26, m + 4*n = 2*m + 10. Let h be (m\/(-4))\/(-3)*-4. What is k(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 22. Let v be x(-5). Let a(f) = f**2 + 2*f + 1. Calculate a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502113 a multiple of 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18061\/2 + (-3)\/(-2) - 1. Let k = -5044 + u. Let t = -151519\/38 + k. Find the common denominator of t and -47\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53285 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Add -0.7 and -0.14062421263.\nAnswer: -0.84062421263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 8. Let y be (-1)\/b - (-63)\/147. What is r in 4\/5 - y*r**2 - 7\/5*r = 0?\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y**3 - 180*y + 3 + 62*y + 61*y + y**2 + 59*y as x*y**3 + v + u*y + g*y**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 - (-44)\/11) - (-112)\/(-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 682 - 836. Let x = u - -599. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.74 - 0.34. Let x = u - 3.4. What is the biggest value in x, 0.1, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28 and 19582.\nAnswer: 19554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2, 0.16, 0.2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-897 - -989) + (2 + -4 + -20 - -4)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105989 times -2\nAnswer: -211978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**4 - s - 1. Suppose -q = 4*b + 3, 2 = -3*b - 4*q + 3*q. Let f(o) = o - 1. Let c(h) = b*a(h) + f(h). What is the second derivative of c(j) wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385 divided by -77\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 106*t - 3341. Give h(52).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 149. What is the units digit of -7 + (-2336)\/(-40) - (-4)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11690.73 and 169776.9.\nAnswer: 181467.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-5)\/(-450))\/((-22)\/(-198))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 - 1396*t\/7 + 200.\nAnswer: -4*(t - 1)*(t + 350)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 32*x = 48. Determine v so that x*v**4 - 16*v**3 - v**2 + 3*v**2 + 8*v - 22*v**2 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 4, l: 2, r: 1, m: 3}. Give prob of picking 1 c and 2 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 12533?\nAnswer: -12535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -8, 43, 114?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d + 7 = -3*y, 5*y = d - 9. Let o be 4*(9\/(-12) - 3). Let j = -18 - o. Put j, 4, d in descending order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 5. Let o(b) = 6*b - 14. Let y(i) = 3*o(i) - 8*r(i). What are the prime factors of y(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 4*m - 4*m)*(3 - 1 - 4) + 305*m - 155134 + 155134 to f*m + y and give f.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 8*h - 33 + (-2 + 2*h + 2)*(3 - 3 + 1) + 0*h + 5*h - 3*h + 0*h - h - h)*(-4 + 6*h + 4) in the form v + a*h + m*h**2 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**3*m**3*p**2 - 4*h**3*m**3*p + 11*h**3*m**2*p**2 + 127*h**3*m**2*p + m**3 wrt p?\nAnswer: 40*h**3*m**3 + 22*h**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 0.1, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by -4 + 16 + 4\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58, 118, 158, 172, 154?\n\"Answer: -u**3 - 4*u**2 + 79*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (11 - -14) + -40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168 + -164. Suppose -3*d = -p*c - 53, -2*d - c - 16 = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from tgtecfeecfgegygeec?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 5:15 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -21 (b) 31\/2 (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 - 4?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 73, 1 in increasing order.\nAnswer: 4\/7, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 0.4?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7\/3, 0.1 in descending order.\nAnswer: 7\/3, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 + 197. Let c = 38 - q. Solve -10 = -c*x - 0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 504997 - 134410. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 70*r**3 + 26*r**2 - 28*r + 66. Let c(v) = 24*v**3 + 9*v**2 - 10*v + 22. Give -14*c(i) + 5*h(i).\nAnswer: 14*i**3 + 4*i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*h = -236, 1974*a - 144 = 1970*a - 4*h. What is the remainder when 612 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-120) - 14\/88)\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/((-21)\/(-12)))\/1. Suppose 3501780 = -m*t + 9*t. Suppose 1039644 = g - t. What is g rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, 8, -2, -1\/2, -54?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1806 in -0.08, -8, -0.4, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -291080 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:29 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*p = 2*p + 10, 5*u = -5*p + 55. Find the first derivative of -3*l**4 + 3*l**4 + 5*l**4 - u - 4 wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3397, -4063, -4729, -5395?\n\"Answer: -666*m - 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 66. Let q(x) = 123*x**2 - 8*x - 25. Let m(y) = -41*y**2 + 3*y + 8. Let l(a) = s*m(a) - 3*q(a). Find the first derivative of l(p) wrt p.\nAnswer: -82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-838*(-3 - -2))\/(8 + -6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32127 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7 - 10165*p + 20338*p - 10172*p. What is i(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 941*h - 941*h + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -2 - 2\/(-14). Put -0.2, u, -1\/8 in descending order.\nAnswer: u, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603997743607159 plus -4?\nAnswer: -603997743607163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + k + 173 - 1018 = 0, 1655 = 4*q - 5*k. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.11776 and 4?\nAnswer: 24.47104","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6254 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -420, -571, -720, -861, -988?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607352 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*k + 14*k + 3*w + 14, -5*k = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7010895?\nAnswer: 3, 5, 29, 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w - 1)*(367*w**2 - 695*w**2 + 349*w**2 + 5*w**4).\nAnswer: -5*w**5 - 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2225, -4190, -6155, -8120, -10085, -12050?\nAnswer: -14015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 76 = w + 10*z, -3*w - 32*z = 37*z - 9*z - 240 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 39*x**2 - 626*x - 24096. Calculate v(-39).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 91423*t - 91423*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1145, -5\/2, 2\/169, -1\/3 in descending order.\nAnswer: 2\/169, -2\/1145, -1\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*y - w + 4625, 0 = 5*y + 5*w - 7715. Suppose -741 = -12*g + y. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/3 + -1)\/(8\/168). Suppose -c + 0*l = 3*l + 14, q = -5*c - l. Sort c, 1, 4.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d**2 + d**2 + 3*d**2)*(-208 + 208 + 11*d) - 3*d**2 + 3*d**2 - 2*d**3 as c*d**3 + y*d + t*d**2 + a and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -3, -2\/211, -1, -5\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -5) + -4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180466?\nAnswer: 2, 11, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 17*m + 21 = -11*m + 45*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 1272*w - 202248.\nAnswer: -2*(w - 318)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 - 10278 = 354*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*m + 4*m + 2*w, m + 5*w + 170154 - 170222 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-63 - (32 + -86)) + (15 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3888) - 5*(sqrt(48) + 1))**2*-3.\nAnswer: -2412 + 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 4. Let a be 4 + (-3 - (2 - 3)). Let r = a + 1. Let c be (-55)\/(-15) + (-2)\/r. Let u(k) = -k + 3. Calculate c*u(l) - 2*g(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7394\/167 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/5)\/w)\/(w**(-7)\/w))**(-11) assuming w is positive.\nAnswer: w**(-484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1771 and 11\/644.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65809189577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 7. Is h\/(1 - (-52)\/(-40)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*p - 1)*(-142*p**2 + 631*p**2 - 148*p**2) - 15*p**2 + 7*p**3 + 15*p**2 in the form s*p + f*p**2 + l + g*p**3 and give g.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2 - 2*l**3 - 3*l)*(3 + 5 - 3).\nAnswer: -10*l**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*j = -24, 4 = -x - 3*j + 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 1, k: 4, t: 1, l: 2, b: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 57 - 3 = 0. Solve m = 3*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, -48, 1, -0.2, 2\/3 in ascending order.\nAnswer: -48, -0.2, 2\/3, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 21 = -r, r - 6*r - 2*d = -15. Suppose 4*x = 3*y - 1, 2*y - r - 1 = 4*x. Is -8 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 127. Let a(r) = r. Let n(g) = -g**3 + 7*g - 41. Let j(b) = 6*a(b) - n(b). Is 10 a factor of j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -i + 3*q, -1 = -3*i - q - 11. Find the common denominator of 2 + (1975\/(-210) - i) and -1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 87*b**2 + 9684*b - 1237. Determine u(64).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/4 + 3*w**2 - 6*w. What is the derivative of a(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 43*t - 152. Let c(x) = -x**2 - 41*x - 154. Let k(g) = -2*b(g) + 3*c(g). Let h be k(-32). Solve -h*i + 9 = -11*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-9)\/(-15)*4\/(-27)*-15.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 186*f**2 - 4*f. Determine m(-1).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 4178?\nAnswer: 175476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b*b)**(1\/4)*(b*b*b**(-3\/2))**(-13\/2) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116129?\nAnswer: 13, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u, d + 5*u = -0*d - 41. Is (64968\/d)\/(0 - (-6)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387636 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -4 in descending order.\nAnswer: 11, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.9. Let b = -49 - -41. What is the closest to h in 0.5, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 times -112\nAnswer: 19712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 176\/396 - 14\/(-9). Solve 0 = -3*y - u*i - 52 + 54, -4*y + 4*i = 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290.50007395 + -290.5. What is s rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 6*x**2 - 5*x - 10. Let u be a(7). Suppose 3*k = -2*k + 25, u*y = 3*k - 39. Let i = 0 + 3. Put i, y, -3 in descending order.\nAnswer: i, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/54)\/((-26)\/(-117)). Sort 1, w, 0.04, -7 in decreasing order.\nAnswer: 1, w, 0.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 190.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**49)**(-2\/11) assuming v is positive.\nAnswer: v**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuuekeunekunkueeke. Give prob of sequence enu.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:30 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/213992 and 17\/83736.\nAnswer: 1925928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103307*f - 9705*f - 55978*f - 140029*f.\nAnswer: -309019*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 135 + 4 + -144?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68, 60, 52?\n\"Answer: -8*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 8. Let m be t(2). Let k be m\/(4 + -5) + (-12)\/(-4). Suppose 181 = k*o + 31. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d**3 + 16*d**2 - 62*d + 206. Is 21 a factor of j(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105455720.\nAnswer: 2, 3, 5, 19, 311, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(-3)*8. Suppose -4 - 8 = -c*f. Suppose 6 = -k + f*k. Let y(s) = -s. Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/125 + 18\/(-10). What is the third smallest value in m, -130, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4172*k - 87. Let t be u(-5). Let q = -47747 - t. What is q rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -296 and 9.3?\nAnswer: -2752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393 - 70. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/((-79)\/(-1106))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 12}. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*x - 881, 3*h - 664 = -0*x - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4555255mm in meters?\nAnswer: 0.0004555255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (224\/(-20))\/((-4)\/50). Calculate the highest common divisor of p and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 48 + 59 + -8.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*s**5 + 182*s?\nAnswer: -1840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r + 11. Determine p(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(1100) + (sqrt(1100) - (sqrt(1100)*1 + 2)) - (sqrt(1100) + -2 + sqrt(1100) + -5)) + -3)**2.\nAnswer: 40*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -8. Suppose -2*s = 4 + 6. Let n = s + v. What is the remainder when 13 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -863*w**3 - w**2. Let i be t(-1). Let f = i - 15511\/18. Find the common denominator of f and -95\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 14 + 7 - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-3)\/3) - (-1 - 22) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*k - 263, -5*k = 3*v - 8*v + 320. Suppose 0 = 5*u - 3*f - v, -6*f + 73 = 3*u - f. Solve 4*r = 3*b + u, 19 - 1 = -5*b - 2*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s. Let w = -65 - -12. Let k = -53.1 - w. Is k equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.6. Let a = -0.79 - z. Round a to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23697038 to the power of 1\/2, to the nearest integer?\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 51*x - 2 = 0. Suppose -3*d + 2017 = x*f, 4*f = -5*d + d + 2692. What are the prime factors of d?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, 4 in ascending order.\nAnswer: -26, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Suppose -3*v + 2*x = -42, -9 = -0*x + 3*x. Suppose -g + v = -3*g. Is g at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/14, -5 in ascending order.\nAnswer: -5, 1\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236 + -231. Calculate the highest common divisor of 45 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbbbkbbbbkbbkbk. What is prob of picking 2 k and 1 b?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.7. What is the second smallest value in w, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-125)\/(-165)) + -4 + (1 - 4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208\/757 + -75\/3028. Let n = 3 + 0. Sort 4, -1.9, n, g in decreasing order.\nAnswer: 4, n, g, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 15. Let i be o(5). Suppose i = -3*k, -4*k + 92 = 2*d - 6*k. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*q*u**3*x + 2*c*q*u*x - 55*c*q*x + 4*c*u**3*x**2 + c*u**3*x - 134*c*x**2 + 2*q*u**3*x - 4*q*u**2*x + 669*q*u*x**2 - 63 wrt x?\nAnswer: 8*c*u**3 - 268*c + 1338*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q - 55. Give a(-6).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-1)\/(-16) + (-366)\/(-8). Let v = 48 - h. Solve v*u + 1 = 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1915, 2\/11, -2, 0.273, 0.2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, g: 2, w: 6, j: 2, n: 3}. What is prob of sequence njd?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 29*s**2 + 632*s - 58. Calculate the remainder when 623 is divided by d(-22).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3333010333?\nAnswer: -3333010332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22602 divided by 3.\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(68)\/(sqrt(6)\/sqrt(3)))\/(sqrt(18)\/sqrt(324)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 - -226. What are the prime factors of m?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -2623, -8882, -21079, -41194?\nAnswer: -71207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 - 342 - (-1 + -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 1 - 4 - -4 - (3 + 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 5383*g\/4 + 24183\/2.\nAnswer: (g - 5374)*(g - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274.6*-0.3.\nAnswer: 382.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 4. Let q(b) = 6*b - 5. Give 5*n(s) - 4*q(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 5}. What is prob of sequence ccii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 + 48*n - 35. Is t(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*((-337200)\/4100 - -82)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:06 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = -3*h, 2*b - 6 = -2*h - 0. Solve -4*y + 3*j + 10 = 0, 4*y + 3*j - 5 - 17 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 14 (b) -3\/5 (c) 1 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183.7 + -192.79. Round l to one decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -20*o - 137. Let i be c(-7). Suppose 3*g = i*n - 225, 340 = 2*n + 3*n + 2*g. What is the remainder when n is divided by 35\/3 + (-2)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 80*u + 29. Let y be q(27). Suppose 5*v - 4*f - 22 = y*v, -f + 5 = v. Sort -4, v, -3 in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = 187. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8235152141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/(-1225)*14*42\/(-99).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 14*x + 97. Suppose x = -t - 5*b + 54, 0 = -4*t - 4*b + 144 + 40. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 20 = 2*c, -270*c - 12 = -271*c + 4*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118639 divided by -29.\nAnswer: -4091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7096 and -0.02?\nAnswer: 141.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5728 divided by -4?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pau when three letters picked without replacement from {p: 1, a: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/5 (b) 5 (c) 2649 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -124 (c) -0.0559946\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/856797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.5 (c) 8.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:52 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v + 7. Let j be c(11). Let k be (j + 0 + 16)*2. What is the units digit of (6\/(-4))\/(k\/(-128))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071792042 to the power of 1\/4, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4062507778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*g)*(-1 - 2 - 1) - 6*g + 5*g + 0*g - 1 + 2*g + 1 - 1 + g + 1 - 4*g + 3*g + 0*g + (2 - 1 - 2)*(0*g - 3*g + 5*g) + 4*g - g - 5*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 702*s**2 - 2088*s.\nAnswer: -2*s*(s - 348)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*l**2 + 2*k**3*l + 314*k*l + 23*l**3 wrt l.\nAnswer: 2*k**3 + 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((0 + sqrt(396) + -3 - sqrt(396)) + (sqrt(396) + 1*sqrt(396))*-1).\nAnswer: 9 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103792 divided by -25948.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325374 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23107121 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 3 = 3*m. Let b(r) = -r + 3. Let k(j) = -j + 4. Let z(g) = m*b(g) + 7*k(g). Determine z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from xxxqxxqxxq.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let h(t) = 0*t - t + t**2 + f*t - 3*t. Give h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.0283 hours in milliseconds?\nAnswer: 3067301880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 38889?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**3 - 22397 + 22397.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12573 is divided by 320.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 27. Let t be o(22). Suppose a + 23 + 134 = r, -664 = -4*r - t*a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 18. Let j = u - -18. Is -0.01 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 7 (c) 0.5 (d) 0.28 (e) 122 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) 916 (d) 448 (e) 72\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*f**2 + 122*f**2 + 130*f**2 + 1664 - 1664.\nAnswer: 198*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7526380536 + 1.\nAnswer: -2.7526380536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 9 - 3\/(-1). Let g = k + 12. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 2 - (28 - 26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 2*w**4\/3 - 9*w**3\/2 + 23*w**2 + 2*w. Let s be l(2). What is the closest to -2\/3 in -2, s, 5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 9*a - 22. Let r be u(7). Let y(h) = -7*h + 2. Let l be y(2). What is the lowest common multiple of 20 and (-8)\/l + r\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7943645 to 4 dps.\nAnswer: 2.7944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*d - 6, -7*d + 4*v - 27 = -2*d. Let n(q) = q**2 + q - 4. Let z be n(d). Solve -4*l + 6 = -z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2364 in -3, -2\/3, -0.2, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 163 (c) -323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58617.17 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 14 = 4*n, 232*w - 236*w = -5*n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 94 + 6*j - 3 + 0*j + 0*j in the form f + z*j and give f.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 3*a + 1. Let j(l) = 4*l**3 + 5*l + 2. Suppose -q + 229 = 5*u + 235, -3*q - 2*u + 8 = 0. Determine q*j(o) - 10*v(o).\nAnswer: -4*o**3 - 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 5:47 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 + 2. Let w(h) = 4*h**2 - 6*h. Let z(s) = -7*s**2 + 10*s. Suppose -16*c = -45 + 125. Let u(p) = c*w(p) - 3*z(p). What is l(u(k))?\nAnswer: 11*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056862 and 0.58.\nAnswer: -0.03297996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 28*l - 10080. Factor -792*y**2 + l*y - 3808*y - 2*y**4 - 144*y**3 - 2662 - 227*y**3 + 303*y**3.\nAnswer: -2*(y + 1)*(y + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928 = -71*b + 253 - 1665 - 358 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r + 51. Let o be 56\/42*(9 - 0). Let k be 4\/o*-7*3. Let f be c(k). What is f rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/5))\/k*k)\/k**(5\/3))**(-29)\/((k*(k\/(k*k**(-2\/3)))\/k)**(-8\/13))**31 assuming k is positive.\nAnswer: k**(5119\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 657*k + 4554. Let y be m(7). Let j = 1 + 1. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = -64. Let m be (-4)\/32 + (-21)\/672*-3076. Calculate the highest common divisor of l and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00462231 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/41)*z**(-4)*(z**13)**(-3))**(-10\/11) assuming z is positive.\nAnswer: z**(17610\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 140 - 52 - 56 in the form f*s + n and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/9)\/(8\/(-36)). Suppose -2*v = 7*v - p*v. Suppose v = 4*u + n - 72, n - 5*n = 0. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 5 - -13*(-5 - -1456). Let m = i + -12887. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -178.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 + 2*w**3)*(-2 + 1 - 1)*(-2 - 4 + 1 + w).\nAnswer: -12*w**4 + 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 - -765. Calculate the greatest common divisor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -304 + 186 + 148 + 23*m**4 wrt m?\nAnswer: 92*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -55.01. Let h = k - -0.01. Let a = -7 + 7.3. What is the nearest to h in a, 2\/7, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(-4 + sqrt(242) + 0 + 4 + 6*(4 + sqrt(242) + 2)))**2.\nAnswer: 201432*sqrt(2) + 474412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*15)\/(3 - 4). Let l = c + -19. Let p(j) = 3*j**2 + 5*j + 5. Does 11 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 57 = -25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 4288, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from noignpnpgzgniniigpgi?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeegeggeggegegggee. What is prob of picking 1 g and 1 e?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 + 178. Suppose 24*b - 165 = k*b. Calculate the greatest common divisor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -3\/4, -2\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o**2 + 16*o. Let c(f) = -f**2 - f. Suppose -2*d = -3*b - 4*b + 46, -4*d = -b + 66. Determine d*c(n) - y(n).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 835801.3 millennia?\nAnswer: 8358013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let f(i) = -i**2. Let g(t) = 3*t - 54. Let l be g(16). Let y(a) = l*x(a) - 13*f(a). Let c(r) = -7*r**2. Determine y(c(k)).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -4.454\nAnswer: 17.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3045633139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 120145 (base 9) to base 16\nAnswer: 11a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -5, -1\/3, -100, 0.1 in ascending order.\nAnswer: -100, -5, -1\/3, -2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14840 divided by -140\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*n + 22*n - 34*n)*(10 - 9 + 9).\nAnswer: 1190*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - c + 95 + 1, 3*c = b - 32. Suppose 2*m = 122 + b. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2164 + -0.0836. Let y = -122 - -120. Which is the closest to v? (a) y (b) -1\/2 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -77*g**3 - 42*g**2 - 42*g. Let u(l) = -7*l**3 - 5*l**2 - 17*l. Let t(n) = n**3 - 6*n. Let d(o) = -2*t(o) + u(o). Determine -42*d(c) + 5*y(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8)\/(-112)*-20*-7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:20 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmmmmfmmfcbffm. What is prob of picking 2 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*o + 6*o**2 - 3*o**4 - 3 - 11*o.\nAnswer: -3*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765 + 756. Let y(w) = -18*w**3 + 8*w**2 - 6*w + 5. Is y(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-42))\/(18\/189*7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -6, 1, 4\/11 in decreasing order.\nAnswer: 1, 0.5, 4\/11, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 14362*y\/11 + 43068\/11.\nAnswer: 2*(y - 7178)*(y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3740296 and 3\/5320.\nAnswer: 355328120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37557)\/5373 + (6 + 1 + -6)*7?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 (base 9) in base 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 10823.88\nAnswer: -10836.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 25. What is r in 2*r**3 - 25*r**2 - r**b + 4*r**3 + 181*r - 35 - 246*r = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.94075056 rounded to 1 dp?\nAnswer: -58.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/10)\/(2\/20). Let j be (-24)\/(-14) + o\/14. Suppose 4*k - j*k = 0. Solve k = -w + 3 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(450)\/(sqrt(9) + 2*sqrt(441))*-5 + 1) + 0.\nAnswer: -4 + 80*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 - 190. List the prime factors of o.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -36, 10, -4 in descending order.\nAnswer: 10, -1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 71787.5 to the nearest 1000.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74 + -111586.\nAnswer: -111660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 96. Let i = z - -137. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - ((4 - 5) + -3)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 372*g**2 + 6*g. Let t(r) = r. Calculate l(y) - 6*t(y).\nAnswer: 372*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.32 - -0.32183. What is b rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -14, 5, 293, 4 in descending order.\nAnswer: 293, 5, 4, -14, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**4 - 540*x**3 - 540*x**3 + 19*x + 1082*x**3 in the form r + b*x**4 + k*x**2 + m*x**3 + y*x and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.5, -249, 0.3, -2 in ascending order.\nAnswer: -249, -2, -1\/2, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let k be l(1). Solve 4*v - 5 - 3 = k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1\/4, 0.8, -1, 1.01, 5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4193, 8690, 13171, 17630, 22061, 26458, 30815?\n\"Answer: -x**3 - 2*x**2 + 4510*x - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218118160 divided by 15184.\nAnswer: 14365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 452, 253, 54?\n\"Answer: -199*q + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + -2 - (5 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.36475 rounded to 2 decimal places?\nAnswer: -8.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2\/13 (c) -4 (d) -2\/25 (e) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(14\/(-3)))\/3. What is the biggest value in d, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 123. What is the third biggest value in k, -4\/7, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.723 * 0.5\nAnswer: 3.3615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 602580515 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.4 and 133.5569.\nAnswer: 1121.87796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121110 (base 3) to base 4.\nAnswer: -102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134268161?\nAnswer: 31, 1031, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 + 6)*(-83*h**3 - 32*h**3 - 71*h**3) to the form u + q*h**2 + r*h**3 + f*h and give r.\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*m = 211*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 5*q + 6. Let h(y) = -6*y**2 + 5*y - 5. Let d(g) = -5*f(g) - 6*h(g). Let p be d(5). Suppose p = -3*b + 6*b - 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.199 - 4.199. Which is the closest to 2? (a) m (b) -1 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278 + -180. What is the remainder when x is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 2*r + 19*r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1685 - -2665. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2 - 77*l - 3. Let n be y(-7). Let c(p) = 0*p**2 + 3*p + 4 - 2*p**2 - 1 - p**3. Calculate the remainder when c(n) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -150, -381, -830, -1569, -2670, -4205?\n\"Answer: -12*y**3 - y**2 + 2*y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/(10\/4))\/(2048\/1392) and -2\/7.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15010 at least 2\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 136*v - v**2 - 15*v**2 + 5*v**3 - 111*v - 25 + v**2. Let q(x) = -x**3 + 4*x**2 - 6*x + 6. Let m(a) = 6*k(a) + 25*q(a). Let m(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.3. Let z = -33\/62 + 1\/31. Which is the nearest to z? (a) 0 (b) -2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llilllililllii. Give prob of picking 3 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2. Let r(s) be the second derivative of s**4\/6 + s**3\/3 - 5*s - 40. Determine r(y(l)).\nAnswer: 338*l**4 + 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - (-4 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.77 + -3.8. What is the second smallest value in 2, t, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1323 = -r + 15589, 4 = c. Suppose 10*z - 1320 = r. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24223 divided by -9.\nAnswer: -24223\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 8. Suppose -s = -o + 6. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*s - 8*s + 3905, 2*w = -s + 1560. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from aalvaaaxaaxxavx.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20843 = 106226. Let b = 42908 + n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 1794 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 165216 = -2*s, -414*s = -2*i - 419*s + 82632. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 165*w + 9076. Give v(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637))**2*-3*3.\nAnswer: -22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(70)\/sqrt(40) - sqrt(7)) + (sqrt(700) + 1 - sqrt(700)) + sqrt(700) - (-3*sqrt(7623))\/((3*sqrt(9) + sqrt(9))*-4).\nAnswer: 1 + 119*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + h - 9 = 0, -h + 6*h = 3*r - 11. What is the third derivative of -r*v**2 + v**4 - v**2 + 0*v**2 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*i + 5*u - 1, 3*u = -5*i + 47. Let c(k) = 8 - 15 + k + i. Let p(s) = 2*s**2 + 176. Calculate c(p(j)).\nAnswer: 2*j**2 + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2781*n*r**3 - 597*n*r**2 + 7330*r**5 - 26464*r**2 wrt r.\nAnswer: 16686*n + 439800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/4 - 107*j**4\/4 - j**3\/6 + 7805*j**2\/2 - 29*j + 149. Find the second derivative of l(t) wrt t.\nAnswer: 30*t - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b004 (base 13) to base 8.\nAnswer: 57153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*j - 10. Suppose j*b - 1059 + 274 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.349 - 0.049. Let k = h - 0.3. Which is the third smallest value? (a) -3\/2 (b) 3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21174577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -18848?\nAnswer: 1883b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 359366 and 931.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1) + -1 + 4. Suppose -109 - 420 = -42*l + 353. Solve l = 3*i + 3*r + r, 3*i + d*r - 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 5*s - 2. Let u(v) = -2*v**2 + 28*v - 14. Let p be u(14). Let c(h) = -2*h**2 - 2*h - 1. Give p*c(y) + 6*x(y).\nAnswer: 4*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) -0.4 (c) -0.06 (d) 7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 30 + 55. Let x = 29 - u. Suppose 5*d + 4*z - 26 + 9 = 0, -3*d = 3*z - x. Is 1\/3 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1152 divided by -66728.\nAnswer: -144\/8341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 12, i: 2}. What is prob of picking 1 v and 1 j?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, a: 1, y: 1, l: 1, c: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2844*k + 921449. What is i(324)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1040, -1042, -1044, -1046, -1048, -1050?\n\"Answer: -2*f - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6874 and 14033762?\nAnswer: 98236334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -v - 4*v. Suppose -2*u = -3*r - v*u, 0 = -u - 3. Let y = 2 - r. Solve -9 = -3*l + 3*x, -2*l + 5*x + 9 = -y*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231800 and 2?\nAnswer: 231800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164847889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5410485*m**3 + 5*m**2 - 49024*m - 5?\nAnswer: 32462910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 19*n - n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 0 + sqrt(5) - (-3 + sqrt(5) + 1)) + -2.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8792 divided by -119.\nAnswer: -1256\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 9:27 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 3*r + 5. Let t be ((40\/(-6))\/5)\/(4\/6). Let k(b) = 5 + 4*b**2 + 0 - 1 - b**2 + 2*b. What is t*d(i) + 3*k(i)?\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + k + 30 = 2*k, 4*i - 3*k = 43. Suppose -o = -4*v - 23, 0 = 2*o - o - v - 11. Is o at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1045.2 - -965. Let q = w - -80. Is q greater than or equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218.5 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from yggvgvgl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681051 to the nearest integer?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 29*x - 7. Give y(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6217.073 millennia to months.\nAnswer: 74604876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11 - 5 - 7 + 15*a + 1. Let n(h) = 5*h + 3. Let y(k) = -10 + 3 - 6*k - 5*k. Let v(g) = 7*n(g) + 3*y(g). Calculate v(z(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 12 (b) -1395616 (c) -1\/8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 6. Let x(t) = -5*t + 5. Let f(o) = -2*o + 2. Let n(p) = 7*f(p) - 3*x(p). Give 4*n(d) - y(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 20. Suppose 0 = 2*q + 2*s - 220, -3*q + 2*s = -v*s - 350. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/3*q**2 + 0 + 4\/3*q**3 + 400\/3*q.\nAnswer: 4*q*(q - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7482500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + b + 5 = 0, -11*b - 15 = -4*k - 8*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aai when three letters picked without replacement from {k: 4, a: 5, i: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1334187355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yylll. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 6 = 19*f. Which is the closest to -6? (a) f (b) 1\/4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxxx when four letters picked without replacement from jjxxxxxxxjjxxxjjjxx.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201 or -202406?\nAnswer: -202406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 6 + -3)*0. Suppose b = 4*u - 2 - 2. Solve -3*x = 2 + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.151, -55.3036.\nAnswer: -55.3036, 0.151, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.5803 centuries in decades?\nAnswer: 7305.803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378953 is divided by 264?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s. Suppose 0*f = f - 25. Let v be 14 - 5*20\/f. Let l(o) = -13*o + 25*o - v*o. Give l(x(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/84 and -47\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 2, y: 1, x: 1}. What is prob of sequence mx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-875)\/10)\/((-2)\/(-4)). Let r = -106 + i. Calculate the remainder when 973 is divided by r.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.869534374574 and -0.66.\nAnswer: 7.209534374574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(84)*-1 - sqrt(84)))\/sqrt(12) + -4)**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n**21*n)\/n))\/n)\/n**(-1\/31)*(n*(n*n**(-3\/5))\/n)**13)**(-1\/7) assuming n is positive.\nAnswer: n**(2444\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 47*f + 5. Let m(n) = 232*n + 24. Let t(p) = 24*g(p) - 5*m(p). Let z(b) = 9*b. Calculate z(t(d)).\nAnswer: -288*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - 7*s. Let z be (21 + 0)\/(3 + 0). Let x(d) = -2*d**3 + 5*d. Determine z*x(u) + 5*r(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-40)*1*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -25) + 30 - -54.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.515 + 61.5. Let a = 9 + n. Round a to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2. Let d = -306 + 306. Let x(a) be the second derivative of -1\/3*a**3 + 0*a**2 + 4*a + d. Determine x(z(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 7*c**2 - 9*c + 23. Let r be h(6). Solve -5*a - 5 = -r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*r + 11, -7*r = 2*h - 11*r - 22. Which is the third biggest value? (a) -17 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -12*f - 1. Let d = 199 - 201. Let j(i) = i. Calculate d*u(s) - 10*j(s).\nAnswer: 14*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73718*f - 73722*f - 5*h - 37 = 0, -4*f = -4*h - 44 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 13 = 22*d - 5*a, 0 = 3*d - 10*a + 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548.9999466 + -549. What is l rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75555947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-1)\/(-1*2). Let j be 412\/2387 - (-14)\/(-77). Let p = j + -8\/93. Which is greater: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -582*x**6 - x**4 + x**2 - 32485.\nAnswer: -69840*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 21*q**2 + 5*q + 7. Let f be r(-9). Suppose 0 = 15*k - f + 10. Solve 5 - k = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 10 - 6) + 2 + -8 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 28*t**2 - 28*t - 22. Let l be f(-27). Suppose 0 = -2*z + n + 6682, n + 16703 = l*z - 2*n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 26.002.\nAnswer: 26.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -349213.6 rounded to the nearest one thousand?\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/2 - 3741*t\/2 - 11277 = 0. Calculate t.\nAnswer: -6, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*u = -253*u + 10603 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -18360*f**3 + 66116*f**2 + 29304*f - 32 = 0.\nAnswer: -2\/5, 1\/918, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -194?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2658, -5255, -7852?\nAnswer: -10449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66568 times -5?\nAnswer: 3.3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8585459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 24. Suppose 0 = -n + d - 4. Find the third derivative of -u**3 + 3*u**3 + 6*u**2 - n*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29867301 to the power of 1\/2, to the nearest integer?\nAnswer: 5465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27639097 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1285 = 215*u - 1131 + 911. Calculate the remainder when 307 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 - (-9)\/(-6)). Suppose -3*c - 148 = x, -5*x - 2*c = -x + 632. Is 24 a factor of x\/(m - 4) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 + 8*z**4 + 3235 - 12*z**2 - 16*z + 4*z**4 - 1615 + 20*z**3 - 4*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033207*-6.\nAnswer: -6199242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 13. Let g = s + 99. Let l = g + -4. What is the remainder when 29 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 90.17 and 0.056427.\nAnswer: 90.226427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*t**2 + 151*t**2 - 318*t**2 + 4*t**3 - 2*t**3.\nAnswer: 2*t**3 - 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2\/11, 26795?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -13. Let i(r) be the third derivative of -r**5\/60 - r**4 - 7*r**3\/2 + 13*r**2. Let o be i(-23). Calculate the highest common divisor of o and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 218 + -575\/3. Let n = -26 + l. Let o = -25.1 - -25.1. Put o, n, -2\/3 in decreasing order.\nAnswer: n, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 18*n**2 - 4*n + 73. Let c be p(18). Solve c = -15*z + 16*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 - 2*v**2 + 11*v - 7. Calculate a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 27716310.\nAnswer: 194014170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 16*v - 8. Let p be (2\/2)\/((-9)\/(-18)). Suppose -5*s - 6*c = -c - 45, 4*s = -p*c + 30. What is the tens digit of t(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/19 (b) 2\/3 (c) -0.5 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -769 + -15322?\nAnswer: -15a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2475, 9915, 22337, 39741, 62127, 89495, 121845?\n\"Answer: 2491*a**2 - 33*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90115.69l to millilitres.\nAnswer: 90115690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -26. Suppose -133 = -j - s*x, 0 = 3*j - 5*x - 236 - 203. Suppose -42 = -5*k + 23. What is the greatest common factor of k and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(18\/80)*(-63)\/(-12). Suppose 4*c - r = 2. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 890 (c) 1\/208 (d) -1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5*z - 221892742*f**5 - 72677*f**2 + 451*f + 6*z wrt f?\nAnswer: 120*f**2*z - 13313564520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/8)*y)\/(y*y\/y**1*y))**34)**(-30) assuming y is positive.\nAnswer: y**(1785\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyr when three letters picked without replacement from rjobbay.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922 (base 10) in base 4?\nAnswer: -132002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 13*b**2 - 40*b + 16. Let k be t(16). Let q = k + -142. Solve -2*p = q*x + 8, 0 = 3*x + 2*x + 4*p + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g - 122 = 574 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -34*h + 9. Let v be a(-4). Suppose 5*w = -25 + v. Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 2 + -7 + 14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((121\/(-33))\/11)\/((-2)\/6). Let s = 0.05 - -0.35. What is the third biggest value in s, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*y = -544*y - 2*f - 20, -2*f + 10 = 3*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 2, 3, -2 in decreasing order.\nAnswer: 3, 2, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose -6*c = -z*c. Is -3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12*(-3)\/(-2). Let a = q + 10. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 + 44*h**2 + 272*h + 384 = 0. Calculate h.\nAnswer: -12, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from aaaaaaaajaaaajaaaaa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8457877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5632\/640)\/(12\/90)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -836800 divided by 32\nAnswer: -26150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 345047246 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -431.3*-69\nAnswer: 29759.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 62. Suppose -3*k = -o + 24 - 61, 3*k + 2*o - t = 0. Suppose k - 3 = 5*w. Solve 3*i - 10 = -w*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2014*k + 21516*k + 17462*k to the form r*k + i and give r.\nAnswer: 40992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56895 times 377\nAnswer: 21449415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 13*a**2 - 6*a - 24. Let p be g(-13). Suppose -3*j + p*u = 52*u - 19917, -13285 = -2*j - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -132. Let c be (132\/(-48))\/(-2 + k\/(-16)). Is c greater than or equal to -70\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-168)\/(10 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**5 + 2*b**6 - 5*b**2 + 4*b**2 + 18*b + 0*b**2 - 17*b wrt b.\nAnswer: 240*b**3 - 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 14*g**3 + 186*g**3 + 2 + 25*g**2 - 14*g**2 to the form c + m*g**3 + u*g**2 + d*g and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcd when three letters picked without replacement from {d: 1, g: 1, w: 2, c: 1, h: 11}.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*f**5 + 125*f - 2 wrt f.\nAnswer: 3240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1631524 and 916?\nAnswer: 373618996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*f**4 - 2*f**3 + f**2 - 53?\nAnswer: -696*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4133 - -106. Calculate the lowest common multiple of 33 and u.\nAnswer: 46629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let w(i) = 24*i + 2. Determine 4*j(n) - w(n).\nAnswer: -20*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -32292*s**3 - s**2 + 12*s - 23. Let y be m(-7). Round y to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599 + -308196.\nAnswer: -308795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + j**2 + 0 + 42*j**2 - 11 + 4.\nAnswer: 43*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.81 - -13532081484.4.\nAnswer: 13532081482.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51166*z**3 - 2*z**2 - 153*z - 1030?\nAnswer: 306996*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - z = 1292, -2*z + 3*z = -2. Calculate the greatest common factor of f and 3182.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18600?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 8. Suppose -2*n + 4 = 4*j, -2*n + 5 = -b*j + 5*j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-2550)*-3)\/((-4)\/(-8))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*3\/(-6)*-1. Which is greater: 8\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1082.9 + -1083. Let f = 1 - -4. Let l = -0.8 - -1.1. Which is the nearest to t? (a) f (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-8) - 1\/(-4). Let k be 1532\/28 + 2\/d. Suppose w + 0*w = k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**(-1\/10))**(-3\/4)\/((c\/(c\/c**(-1\/4)))**(-3\/16))**(-1\/2) assuming c is positive.\nAnswer: c**(63\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130.35 and -5.945.\nAnswer: 774.93075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c28a5 + -5e?\nAnswer: -c2914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 139*w = 316*w + 740, 2*x + 5*w = -4 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -8 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 18*l - 15. Let n be j(17). Suppose -4*k + 54 = -2*y, 4*y + 9 = n*k - 3. What is the lowest common multiple of k and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1680\/(-160)*(-4)\/14)\/(0 + 3). Which is bigger: a or 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3)*6\/(-9). Let y be u\/6 - (-14)\/6. Factor y + o + 3*o + o**2 + o**2.\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123781 is divided by 2638.\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 13. Let b = 69 - 51. What is the lowest common multiple of b and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 73970 = 25*m. What is m rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27020?\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0162303185 rounded to 6 dps?\nAnswer: -0.01623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 434*p - 407*p + 209 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 + 2*u + 6. Let m(n) = -n**2 + 4*n. Let l be m(3). Let z be t(l). Suppose 0 = -z*v + 31 + 14. Solve -2*a = a + v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690896141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1309 and 14707?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkqpkkqkkqkkkqkkq. Give prob of sequence qkqq.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -138.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001536 rounded to five decimal places?\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784318 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*u = 216*u - 332 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/243*9*6. Which is the smallest value? (a) 1\/25 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -23a58?\nAnswer: 23a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**4\/27 + 20*c**3\/27 + 50*c**2\/9 + 14*c. Factor p(d).\nAnswer: 4*(d + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 6*f**3 - 2. Let v(n) = -12*n + 5*n + 5*n. What is v(a(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2 + 12*l - 15 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1298538 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(16)\/(2*sqrt(2)) - sqrt(8)) + (sqrt(162) - (sqrt(162) + (sqrt(162) - (sqrt(162) - (-5*sqrt(162)*-5 + sqrt(162))))))**2.\nAnswer: -2*sqrt(2) + 109512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -1. Suppose 4*k - 6*r + 2*r - 672 = 0, 0 = -3*k + 2*r + 509. Let j = -1213\/7 + k. Which is the biggest value? (a) 0.5 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.078 in 2, -1, 592, 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i + 44. Let x be y(-3). Which is the closest to 0? (a) x (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 229 = 107. Suppose 10*i - 18*i = -p. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(880\/1100).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 8\/5*b**5 + 1\/3*b**6 + 1 + 3*b**4 + 8\/3*b**3 + 0*b + b**2. Factor l(s).\nAnswer: 2*s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-5) - 2 - (-24)\/6. What is the nearest to c in -0.1, -0.3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyynyynnynyyn?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1494 = 5*a - 4*r, -2*a = 3*a + 5*r - 1530. Let y = a + -185. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -966?\nAnswer: 4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 3*v**2 + 3*v - 3. Let m be 99\/36 + 4\/(16\/(-3)). What is h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 11 = 3*f - 13*m, 0 = -5*f - 5*m - 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/16)\/(1368\/288).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-38\/3)*z)\/(z*z**20))**(3\/4) assuming z is positive.\nAnswer: z**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**3 + 0*p**2)*(2 - 5 + 4)*(7046*p + 1 + 6663*p - 6809*p).\nAnswer: 13800*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y - 95 + 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37979, 37978, 37977?\n\"Answer: -c + 37980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*l - 20 = 3*f, -8 = 3*f - 2*l. Suppose -7*x + 1 = -314. Suppose 0 = -5*t + 2*t + x. Solve -3*g + t + f = 0, -5*a = 3*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w**4 - 125062 + 62497 + 6482*w**2 + 62565)*(2 - 2 + 3) in the form a*w**2 + p*w + o + t*w**3 + b*w**4 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -23 - -6 - (-29 - 9)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 22, 9, 5, -151.\nAnswer: -151, 2, 4, 5, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 91 and 7158.2.\nAnswer: 7249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -163, -164, -165, -166, -167, -168?\n\"Answer: -a - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 + 7*k + 10. Let s be w(-7). Suppose 3*l - l = -s. Let i(d) = -9*d. Let q(x) = 5*x. Give l*q(f) - 3*i(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-10) - (10 + 0 + -6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.402 times -0.32?\nAnswer: 2.68864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n - 5*l, 5*n - 1 = -3*l + 8. Let x = 1\/54 - 167\/270. Which is the smallest value? (a) x (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -981*n - 1050*n - 10*n**2 + 2031*n.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 58*t**3 - 2*t + 1. Let l be i(1). Let u be 108\/l + 4\/(-2). Let x = -2.8 + -0.2. What is the smallest value in u, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3546275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1891\/2 + 32143\/34. What is the fourth smallest value in 0.1, -625, d, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.4. Let z = 0.1 + d. Let w = 12 - 14. Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 bigger than -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 28*h**3 + 2*h**2 + 2*h. Suppose 0 = 3*p + w + 23, -5*w = 4*p - 287 + 303. Let t(x) = -113*x**3 - 9*x**2 - 9*x. Determine p*n(v) - 2*t(v).\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6779233 to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 54, -0.2, 4, 2\/339, -2\/11?\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let z be 5*(2\/(-4) - 1\/2). Give m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 6*q**2 + 0*q - 4 - 9*q**3 + 10. Let o(c) = -326*c**3 + 651*c**3 - c**2 + 1 - 326*c**3. Determine -6*o(t) + x(t).\nAnswer: -3*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**6\/45 + 7*t**5\/6 + 17*t**4\/9 - 2*t + 840. Factor x(g).\nAnswer: 2*g**2*(g + 1)*(g + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2320*z**2 + 6*z + 0*z + 37 - 2317*z**2 wrt z?\nAnswer: 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6320 = -279*z - 5569 + 3519 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2076*32\/(-12) + -3. Suppose 4*o - 7*o + d = 4*l, 0 = -5*o + 5*l + 18460. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 565 + -568. Is h smaller than 0.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140550 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/173? (a) -0.041 (b) -4\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*o + 26, -d = -2*d - 2*o + 20. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*v**3 + 0 - 3\/5*v**5 - 1\/5*v + 2*v**4 + 6\/5*v**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12*i = -50. Let d(b) = -7*b**2 - 11*b + 3. Let t(n) = 11*n**2 + 16*n - 5. Let p(l) = i*t(l) - 8*d(l). What is p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-126)\/12 - 2\/4. Let t = 18 + k. Let u(v) = -v**2 + 8*v + 7. What is the lowest common multiple of 2 and u(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-2)\/4). Suppose -3*z - z - 152 = 0. Let n be (-4)\/18 - z\/90. Are n and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide -2 - ((-4)\/(-6) + 18100\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 358 in -3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 14, -5\/19, 26.9?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11. What is the third smallest value in k, 2\/7, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:18 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 < 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 8\/99 (c) 28\/37 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m**2 - 9*m**2 - 16*m**3)*(-3*m - m**2 + 3*m).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((0\/3 - -2) + 0). Solve r = 2*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -52, -81, -122, -175, -240, -317?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 - 158. Suppose -t - 4*u + c = 0, 2*t - 371 = 5*u - 8*u. Let d = 417 - t. Calculate the greatest common factor of 23 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0245 + 0.02362. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02 (b) 2.7 (c) -1\/9 (d) -2\/9 (e) -2\/11 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-31)*p**(-2\/71) assuming p is positive.\nAnswer: p**(-2203\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167512 divided by 4.\nAnswer: -41878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (-2*sqrt(66))\/sqrt(11))\/(-2*sqrt(192) - sqrt(192)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8885.076m?\nAnswer: 8885076000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*v**5 + 17*v**5 - v**5 - 54*v**3 - 22*v**5 + 54*v**3 + (-2*v**3 + 3 - 3)*(v**2 - 3*v**2 + v**2).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = 13. Suppose 0*b + 5*b - 5 = 0. Suppose 3*s + 2*f = 9, 4*f + 6 = -s - b. Calculate the remainder when u is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 35 = -2*y - 4*n, -2*y + 37 = -3*n. Let r(u) = 2*u**2 - 39*u - 18. Let l be r(20). What are the prime factors of (l - 0\/(-3)) + y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 1:51 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100101010101 (base 2) in base 16?\nAnswer: 16955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 334*s - 3435 - 3304 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460292366 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 + -1)*-1)\/3. Let z = 25\/84 + 1\/28. What is the nearest to a in z, 0.5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2045 and 56\/55.\nAnswer: 22495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-9) - 4\/6. Suppose 2*u + 6*q - q + 20 = 0, l*u - 3*q = 12. Suppose y + 5*a = -20 + 1, -5*a - 20 = u. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24417)\/73197 - 3\/(-9). Let x = w - 403931\/32532. Find the common denominator of -51\/10 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -9 (b) 0 (c) 1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 127, 119, 111, 103, 95?\n\"Answer: -8*o + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - 6) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, 26.22, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7360 and 265420.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 13*n - 14. Let y be a(11). Let f = -7 + y. Suppose i + 5*k = f, -5*k - 83 = -3*i - 4*k. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 - 3407*y**2 - 201726*y - 2145. Determine p(-1073).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 divided by -103.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -2*v - 3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d + 247*d = -1683 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 12:07 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*m, -5*m = -2*m. Let q(z) = z**2 + z + 8. Let r be q(w). Solve -3*u = 4*f, 0 = -r*f + 3*f - 2*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/62*(-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-10 + -5 + 13 + -3 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5414 - -262?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 222*m + 40. What is z(-1)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 0*k - 5*k + 8*k**2 to n*k**2 + y + l*k and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 + 18 = -j, -5*j + 15 = 3*g. What is the remainder when 68*(j\/2 - (3 - 4)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + d + 4 = 0, -5*c = d - 0*d - 14. Solve 3*h - 5 = 2*q, 0 = -3*h - 3*q - c*q - 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/91949 and -29\/91949.\nAnswer: 91949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 23. Which is greater: p or -2\/103?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*((0 + 2*m + 0)*(5 - 4 + 1) - m + 2*m + 0*m).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 8 - 20 - 18. Let v(u) = -7*u - 35. What is v(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3392*b - 7456. What is the least common multiple of v(3) and 25?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 626.3 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/39 < 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 2715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cthcicacc. What is prob of sequence hi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 + 6*w**2 - 6*w - 2. Let o(x) = -4 - 12*x**3 + 6 + 13*x - 3 - 13*x**2 + 4. Let j(c) = 13*f(c) + 6*o(c). What is the derivative of j(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811079 divided by 45?\nAnswer: 201231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**2\/2 + 15*l - 1321. Calculate z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 96 - 56. Let n(r) = 5*r**2 + 35*r - r**2 + r**2 + 2 + 1. What is the units digit of n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*sqrt(147)*3 + (sqrt(231)\/sqrt(7)*3)\/sqrt(11) + 0).\nAnswer: -510*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8. Let w(c) = 3*c - 8. Calculate -2*u(j) - 3*w(j).\nAnswer: -9*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - 10*n - 393 - 304)*(-3*n + 3 - 3).\nAnswer: 3*n**2 + 2091*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18084 divided by -54\nAnswer: 3014\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.78785 rounded to 1 dp?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 25*c**3 - 3*c**2.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 150 = -3*p. Suppose -69 = 2*i + 3*d, 4*d - p = 3*i + 65. What is the tens digit of (-2)\/4 - i\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 709851923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675731 is divided by 3455?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2650143698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 + 15*t - 21. Suppose -91*a = -60*a - 93. Give h(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 - 5*o + 5. Let a be l(-5). Suppose a = -3*g + 8*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 6*v**2 + 7*v + 11. Let d be j(-8). Suppose d - 77 = i. Solve -t = -i*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -35. Calculate the remainder when 266\/8 + 4\/t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250747, 501765, 752783, 1003801, 1254819, 1505837?\nAnswer: 1756855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - 8*o - 14. Let j be y(-6). Suppose -72*m + j*m + 6 = 0. Suppose 2*f = -m*x + 32, 0 = 2*f - 3*x + 1 - 21. Solve 3 = -4*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20521732*n**4 - 13287149*n.\nAnswer: -246260784*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110933405 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 452*q**7\/21 - q**3\/3 + 210*q**2 - 27*q - 1. Find the second derivative of f(z) wrt z.\nAnswer: 18080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 + 0 - 11 + j + 2. Let f be d(6). Sort 0.2, 0.4, f in descending order.\nAnswer: 0.4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 303*q - 10339. Give f(-263).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t = 21*t + 1700. What is the greatest common factor of t and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44562 + 122026. What is the ten thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-15)*((-4)\/10)\/2)\/((-235)\/(-2350)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.40909 * -0.2.\nAnswer: -0.081818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/201 and 151\/6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*m + 10, l - 6*l = -m - 13. Solve -1 = -0*h - l*h - 2*k, 5*h - 19 = k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -46. Let q(a) = 2*a**2 - a - 1. What is the least common multiple of l and q(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/49 or -5750?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**8\/5040 + k**7\/90 - 49*k**6\/180 + 7*k**5\/4 + 36*k**2 + 2*k. Let j(p) be the third derivative of v(p). Factor j(n).\nAnswer: -4*(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 85. Suppose -124 = -5*j - 2*i - 35, h*i + 88 = 4*j. Let g be -18 + j + -2*2. Sort g, 8, 1 in decreasing order.\nAnswer: 8, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a77a + 1?\nAnswer: -a779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53 times -13.7702\nAnswer: -729.8206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -31*k**3 - 17*k**2 + 3*k + 50. Give z(2).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -5*w, -12*j + 16*j - w = 26. Solve 8 = -7*p - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/4 + 5*i**3\/3 + 5*i**2\/2 - 1. Suppose -10 = 3*f - m, -f - 3 = m + 3. Calculate r(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 210182?\nAnswer: 210182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -33*q - 16. Let p be y(-5). Let s = p - 121. What is the greatest common factor of s and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11008*j - 1330 - 745 - 4804 + 2249*j with respect to j.\nAnswer: -8759","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/2)*(-2)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8111*s - 8111*s - 4*s**2 - 132*s**3)*(0*s + 0*s - 2*s**2).\nAnswer: 264*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 10*z - 18. Let g = 38 + -26. Let y be b(g). What is the greatest common divisor of y and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (63222 + 4 - -6) + 9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-26)\/14 - 1\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d = 2*y - 51*d - 4, -d + 7 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29760 = -135*r - 16005. Suppose -2*k - 3*z - 1105 = 0, -5*z = 4*k - 3*k + 535. Let v = r - k. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 16*i**2 + 612*i - 802. Calculate x(14).\nAnswer: 1886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {y: 1, a: 1, g: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 536*g**6 - 195*g**2 wrt g.\nAnswer: 64320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 47499444.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5658*a**2 - 14*a - 3. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46684 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 + 4*p + 4. Let f be v(-4). Suppose -4*b - 852 = 2*u, b - 2163 = u + f*u. Is (-5)\/25 - u\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-14)\/((-14)\/105). Suppose 0 = 4*m - 5*f + 296, 0 = -2*m - 5*f - t - 13. Let z be (-219)\/m + (-6 - (-2 + -1)). Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(12) + (sqrt(3) - (sqrt(6)\/(-1*sqrt(2)) + sqrt(3))) + sqrt(108) + (0 + sqrt(243))**2.\nAnswer: sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.82 + -0.03. Let u = -0.7899528 + r. Round u to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 23*r + 124. Let z be u(-6). Solve 0*m - z = 11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*h**2*w**6 + 4*h**2*w**5 - 3*h**2*w**2 - 8*h**2 wrt w?\nAnswer: 9720*h**2*w**3 + 240*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057122935 rounded to seven dps?\nAnswer: -0.0000571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -l - 60. List the prime factors of l.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -5*l. Let o be ((-1)\/l)\/(4\/(-16)). Solve -a + 2*a - o = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*u + 515*u - 1030*u + 14 + u**2 + 2*u**2 in the form i*u**2 + w + c*u and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198517883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*4*-1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04149362711 rounded to 6 decimal places?\nAnswer: 0.041494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103630.\nAnswer: 2, 5, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 + -126. Sort 23, 2, v.\nAnswer: 2, v, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 - 6*x + 7. Let m(t) = -t**3 + t**2 - t + 1. Let h be m(0). Let b(a) = a**3 + a - 1. What is h*n(p) + 6*b(p)?\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -25.2, 1, -5\/4, -3, 2?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291 - 171. Suppose 4*g - z = 5*f + 291, g - 100 = 4*f. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12665778.\nAnswer: 2, 3, 23, 91781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 136, -17, -11, 0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 286 = -5*c. Suppose k + c = 5*r + 2*k, -5*r + 3*k = -151. What is the remainder when r is divided by ((-15)\/(-9) - 3)*-6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33775?\nAnswer: 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*0.3.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 105*t**4 - 5090*t**3 - 15850*t**2 - 16035*t - 5375.\nAnswer: 5*(t - 25)*(t + 1)**3*(t + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1178 - -1179.1. Put a, -2, 0.3 in decreasing order.\nAnswer: a, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 - 2*d - 2. Let i be w(-1). Let o be i\/2 - 177966\/(-120). Let h = -1486 + o. What is the common denominator of -41\/8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 + 104*f + 5 - 104*f as d*f + m*f**2 + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrrrrd. Give prob of picking 4 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - sqrt(5)) + -4 - -3*sqrt(500) - (5 + sqrt(405)*2 + sqrt(405)*2 + 1))**2.\nAnswer: -40*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -22, -44, -64, -76?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 9) to base 12.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 387076051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -100000210?\nAnswer: 100000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7460336 and 16120?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -5.69.\nAnswer: 2.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - n**2 + 6*n + 2. Let x(o) = o**3 + o**2 - o - 6. Let f be x(0). What is the remainder when i(-4) is divided by 1\/(-2) + (-87)\/f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let a be 1*4 + 69 + -70 + 0. Solve -a*n + n - 8 = z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -37. Let d = -32 + s. Suppose -2*z + z = -d. Calculate the lowest common multiple of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-2 - (8 - 4)) + 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l. Let s(t) = -5*t**2. Give d(s(z)).\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 52. Let p be 24\/18 + ((-16)\/(-6) - s). Let h(d) = -3*d**p + 3*d**2 - 15*d**2. Let j(y) = y. Give h(j(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 + 18. Let f be x(3). Suppose 2*s = -k - 2, 0*s = -k - s. Suppose 44 = k*v - f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10000*g**4 - 1 + 25*g + 6 + 9998*g**4 - 3 to the form y*g + l + i*g**2 + q*g**3 + j*g**4 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1257 + -1280. What is the third smallest value in p, 0.08, -1\/6, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932401.7um in millimeters?\nAnswer: 932.4017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/11, 11775, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(5\/3)*n)\/n**2)**(19\/4)\/((n*n**0*n)**29*(n**1)**(-10\/9)) assuming n is positive.\nAnswer: n**(-967\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 12*a - 4*a + 21*a - 2*a**2. Determine j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 42, 61, 80, 99?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in 1, -9, 0.2, -3\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 1300*o - 84500.\nAnswer: -5*(o - 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) + 1 + 12\/(-8). Let d be (j + (3 - 3))\/1. Put d, -2, -3, -5 in ascending order.\nAnswer: -5, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Let n(b) = b**2 - 5*b + 4. Let z be n(k). Is z at least as big as 1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/60 - -2 - (-34)\/20?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + 13*s + 2*s + 11862*s**2 - s in the form p*s**2 + r*s + o and give p.\nAnswer: 11862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 12*k**3 - 17*k**3.\nAnswer: -29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Suppose k*p = 6 + 4. Suppose p*r = -1 + 23. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c, -3*r + 174 = -4*c + 2*c. Suppose 0 = 12*x - 16*x + 2*q + 38, -2*x = q - 33. What is the remainder when r is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 362664063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 9143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.226 times -0.1676236\nAnswer: 0.0378829336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -726212*i*n*y - 6539*i*y + 271*i + n*y - 7*n - y wrt n.\nAnswer: -726212*i*y + y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663478, 5307862, 17914034, 42462886, 82935310, 143312198, 227574442, 339702934?\nAnswer: 483678566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1174*(-1)\/((-10)\/1). Let h = -117 - g. Find q such that -4\/5*q - 2\/5*q**2 - h = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + c = -131, 0 = -7*s + 3*s + 4*c + 128. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 k, and 1 h when four letters picked without replacement from tvtteehmkmtkmtmmmt.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 8*x + 0*x)*(44 - 44 + 6*x)*(0 + 4 - 6)*(-3*x**2 - 5 + 5).\nAnswer: -180*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -73. Let f be (-5 + 0)*q\/5. What is the third biggest value in f, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67232 - -123941. What are the prime factors of u?\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4262648 and 483548.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2476 - 1319 = -69*a. Solve -56*w + a*w = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-14 + 35 + -72).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72335028 from -0.5.\nAnswer: -72335028.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {e: 7, w: 10, y: 1, t: 1}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*q + 1039*q = 147*q - 17838 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - -1) + (-1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0*m**2 + 2\/15*m**6 + 0*m**5 - 1\/3*m**4 + 0 + 0*m**3 + 16*m. Solve o(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 + 6*s + 1. Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -44, 2, 39, -2934, -5 in decreasing order.\nAnswer: 39, 6, 2, -5, -44, -2934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883352827 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23383454 less than -23383457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1166*s**4 + 137*s**2 wrt s?\nAnswer: 27984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/4 - 2*i**3 + i**2 - 3*i + 85. Suppose 0*w - 24 = -4*j + w, -5*j = -3*w - 30. Is g(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 84 = -35*v + 9*v. Let s = -3 + 7. Suppose a = 2*f + 3*f + 18, 3*f = -s*a - 20. Sort a, 5, v in decreasing order.\nAnswer: 5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -913 - -921. Let p = -5.6 - -6. Which is the second biggest value? (a) p (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - -0.4. Suppose -4*k = 2*q + 134, -2*q = -5*k + 2*q - 161. Let d be (-2)\/10 - k\/(-60). Put d, t, -2 in descending order.\nAnswer: t, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -1 + (3 - 27 - -29) - -8\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-25 - (-58)\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**5 - 525*a**4 + a**3 + 14585*a**2 wrt a?\nAnswer: -780*a**2 - 12600*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c)*(-3*c + 7 - 7)*(-c**2 - 6*c**3 + c**2).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -12 (b) 5 (c) 3\/7 (d) 0.47 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73057822 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 760 and 2560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-57))\/(132\/(-1287))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5959477?\nAnswer: 103, 57859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s + 0*s)*(s + s - 3*s)*(-3*s**3 + 2*s**3 - 2*s**3).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 28 - 19 = -12*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 - 115*j - 189. Give t(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j. Suppose -9*o + 14*o - 15 = j. Suppose -2*l - o*v = -376, 4*l + 0*l - 774 = 5*v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 4*w + 2. Let x be a(-6). Suppose 0*d + 2*d - p = -3, 4*d + 2*p = x. Let b be d + -6*(-2 - -1). What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-265)\/8745)\/((-5)\/(-275))*9\/21?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (3 - 1)) + (33 - (-33 + 61))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2194 = -4*j + y, 10 = 4*y + 2. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(250) - (sqrt(250) - (sqrt(250) - (sqrt(250) + 2*sqrt(250)))))*-1)\/(6*(2*sqrt(10) - sqrt(10))))\/((1*sqrt(135)\/sqrt(3))\/((sqrt(81)*1)\/sqrt(9))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019788009 to five decimal places.\nAnswer: -0.01979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 6993216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, -39, -185, -473, -951, -1667, -2669, -4005?\n\"Answer: -8*n**3 + n**2 + n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 8, -2\/7, 1\/5, -3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from rrrrvrrrryrryrrrr.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103894 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -122 - 5949a?\nAnswer: -59600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 - 13353*i - 40032 = 0 for i.\nAnswer: -4448, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 668372d - 4?\nAnswer: 6683729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-85) - 888\/18241.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(75) + sqrt(75) - sqrt(75)) + 5)*5.\nAnswer: 35 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 16?\nAnswer: -19\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/204 and -7\/255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 14*k = 17*k - 59653, -u = -2*k - 11941. Let d = u + -7372. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2527 and 417316.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 419*c**2. Let y(z) = 2*z**2. Give j(y(h)).\nAnswer: 1676*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46.6 + 1.6. Let n = l - -22. Let p = -22.927 - n. What is p rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136206562*m*n**3 - 1290799*m*n**2 - 8*m*n wrt n.\nAnswer: 817239372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3\/5 + 160*y**2 - 23312*y\/5 - 49856\/5 = 0. What is y?\nAnswer: -2, 38, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f - 10. Let y be a(-3). Solve 3*k + 3 = y*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(sqrt(931) - (-5 + sqrt(931)))*5 + (4 + sqrt(931)*3)**2 + ((sqrt(931) - (sqrt(931) + 2)) + 5)**2) + 1.\nAnswer: 504*sqrt(19) + 25363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000196657 to 6 dps.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2360*m**2*r**2 + 2*m**2*r + m**2 - m*r**2 + 101*r**2 - 16*r wrt m.\nAnswer: -4720*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001110452 rounded to seven dps?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1083, -2?\nAnswer: -1083","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4738770514248611788 - 4738770486313833825.99999949. Let k = 27934778080 - x. Let n = k - 118. Round n to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146407 (base 8) to base 2.\nAnswer: 1100110100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1433 + -3?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120785862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942176053 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10 + 10 - 29 - 2*o. Let i be a(-17). Suppose -4*n + 10 + 10 = 0. Calculate the highest common divisor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(9\/(-25)))\/((-55)\/33)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - y - 4*y)*(-2 - 2 + 5) - 3 + 3*y + 3 - 8*y + 18*y - 11*y to b*y + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*q**2 - 381*q**2 + 761*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p**2 - 14*p + 13. Determine k(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5))**(-2\/13)\/(((f*f*f**(1\/4)*f)\/f)\/((f\/f**(-3\/8))\/f)) assuming f is positive.\nAnswer: f**(-1087\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 4, o: 2, k: 6, h: 2}. Give prob of sequence kjok.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*x = 364*x - 120. Solve x*c + 336 = 321 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/14*(-28)\/8. Let d(k) be the first derivative of 0*k**2 - 1 + l*k**4 + 3*k + 0*k**3. What is the derivative of d(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/8 - 233*v**4\/4 + 14937*v**3\/8 - 13473*v**2 + 11664*v = 0 for v.\nAnswer: 0, 1, 9, 24, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*i - 8*i + 74 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - 4))*(-40)\/(-20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -3. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/3507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50085611 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6916*k - 43942*k - 39351*k.\nAnswer: -76377*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 557*j - 20917. Determine c(37).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 = -4*g, 0*h + 5*h + 20 = -5*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - m = 1752 - 1809, -3*r - 4*m = -66. Suppose -3\/2*q**2 - 33\/2 + r*q = 0. What is q?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -15. Let p be (u - 12)*(0 - -1). Let t = 12 + p. Solve 5*x - t*x = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50034 by -269.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271 + 174 - 88 + 62 + 161 - 269*k wrt k.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*w + 75*w - 2146 = 612 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 - 20\/(-12). Let y be a\/21 - (-14)\/49. Let k = 15.047 - 0.047. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = -14 - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 48908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 3. Let m be -1 + 21\/j + 3. Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/2 - (-3)\/6. Suppose s = 2*s + 28. Let d = s - j. Solve 0 = -2*m + o + 5, 0 = -5*m - 3*o + 7*o + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 23*i + 9. Let g be c(4). Suppose -g = -3*h + 67. Is 14 a factor of 6200\/h + 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 14, d: 4}. Give prob of sequence lddd.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + 7 - 7)*(0 - 4 + 1) + (4 - 4 - 2*x)*(-4*x - x + x) to p + o*x + j*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121013 (base 5) to base 6.\nAnswer: -32512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*1*18\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.64 less than 0.147250086594?\nAnswer: 5.787250086594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3771025 or 3770999?\nAnswer: 3770999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 21*o + 77. Give y(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24) + 2\/(-8). Let z = -0.2 - 0.8. Let b = 3.6 + 0.4. What is the biggest value in b, s, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 - 3*f**5\/20 + 5*f**4\/6 - 8*f**3\/3 + 4*f**2. Let a be y(-11). What is the tens digit of (-4)\/a*(-1326)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 376968?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14748\/88596 - (-7)\/(-42) and -101\/22.\nAnswer: 54142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29548685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - d)*(-477*d**2 - 390*d**2 + 658*d**2).\nAnswer: 418*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 337, 571, 993, 1657, 2617?\nAnswer: 3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) 2.8 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytjtbjvbtvtytfjjtttv. What is prob of sequence bjjy?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.6 + 9.59999917. What is o rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*a, 3*g = 5*a + 3 - 11. Do g and -12\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 2:45 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20112110031 (base 4) in base 2?\nAnswer: 1000010110010100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x**5\/50 - x**4\/30 + 2*x**3\/15 - 10*x - 1. Let v(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 15930.\nAnswer: 111510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whh. Give prob of sequence hw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*s + 52, 6 = t - s + 18. Let n be (-1)\/4 + (-2)\/t. Let j = 0.07 + -1.07. What is the nearest to j in 1\/2, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17099?\nAnswer: 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4247*j*q**2 + 139982333*j + 14511*q**2 wrt q.\nAnswer: 8494*j*q + 29022*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/4 (b) -3\/7 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 550 - 4*c**2 + 0*c - 550.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**5 - 55*f**4 + 5005*f**3 - 4885*f**2 - 5000*f + 4940 = 0.\nAnswer: -38, -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -361.94 + 364. What is m rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(1 + 77\/(-44)). Which is greater: t or -68\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + x = 17, 0*w - 4*w - 5*x + 49 = 0. Suppose -12 = -5*m + 8, -11 = r - 3*m. Let t = 5 - r. Calculate the lowest common multiple of w and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 17160 = -0*u. Let l = u - 434. What are the prime factors of l?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 - 163527*l**2 - 327075*l + 490599 = 0. Calculate l.\nAnswer: -3, 1, 54511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 + k. Let w be x(-2). Let v be 3\/(-3)*-3 + w. Suppose -6 = -v*j - j. Solve -2*d + j = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*m + 18093 = 0, -16*a + 13*a - 3*m + 54234 = 0. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 - h**4 - 5694811*h**3 + 232272859*h wrt h?\nAnswer: 20*h**3 - 12*h**2 - 34168866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261307.2m to nanometers.\nAnswer: 261307200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 147*i - 3. Let x(u) = -u**2 + u + 2. Determine 2*a(v) + 2*x(v).\nAnswer: -2*v**2 + 296*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b73587 - -2?\nAnswer: b73589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33619.\nAnswer: 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + (-7)\/(-2). Suppose 4*q = y + 9. Let c be q*1*(12 - 11). Solve 2*k + 4*o = -6, 2*k = c*o - 2 + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 3*a**3 - 2*a**3)*(-3*a + 2*a - a) - 5*a**4 + 6*a**4 - 10 + 1 + 11*a**4 - 6*a**3 + 6*a**3.\nAnswer: 14*a**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -605 - -1021. Let x = j + -416.0000261. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.016 or 11?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 275.49 - 823\nAnswer: -547.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**5 + 0*s + 2 + 0*s**4 - 8\/3*s**3 + 0*s**2. Find the third derivative of c(b) wrt b.\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 221*f + 203*f + f**2 - 415*f - 9. Suppose i = 5*i + 36. What is n(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -0.1, 2\/9, 72\/43, -0.88?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2939486684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.82 times 31\nAnswer: 56.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l - 1. Suppose -9 = -6*y + 9. Suppose -y*d + 3 = -0*d. Determine i(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/109824 and 157\/2112.\nAnswer: 109824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 24\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6109 rounded to 2 decimal places?\nAnswer: -10.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, i: 4, x: 4}. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:36 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1, -3, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762 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 11*p - 8*p - 72 = 0. Solve -5*t = -t + 2*c - p, 12 = t + 2*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 3*o = o - u. What is the units digit of (-1)\/(-1 + 0) - o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1714*1.713.\nAnswer: 2936.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**2 + 2*i - 1. Let o be a(1). Let p = 28 - o. Suppose p*c = 20*c - 6. What is the lowest common multiple of 9 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 124113156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 3*i - 21*i + (-4*i + 5*i - 3*i)*(3 + 2 - 3).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 53 = 173. Put v, 2, 22 in ascending order.\nAnswer: v, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/6*(0 + 2). Which is greater: -330\/23 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -549979, -549914, -549857, -549808?\n\"Answer: -4*p**2 + 77*p - 550052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5327 by 16.\nAnswer: 5327\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 203333 (base 4) in base 6?\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107551363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 1881 - 631 - 604 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*12\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498861113 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/6 + 34826*b**4\/3 + 1217295457*b**3\/6 + 77328381923*b**2\/3 - 156482846338*b\/3 + 78545781860\/3 = 0. Calculate b.\nAnswer: -34762, -130, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32647, -45652, -58657?\nAnswer: -71662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 11 + 1\/3*f**3 + 25*f - 5*f**2. Solve x(h) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -165929, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/5)\/k)\/k**(-3\/2))\/(k**1)**(4\/13))**(1\/11) assuming k is positive.\nAnswer: k**(-79\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59064.\nAnswer: 2, 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -12.2. Let t = z - -68.7. Let h = -41.129 + t. Round h to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 + 12*l - 10. Let g = -129 + 89. Let n = g + 84. Calculate the remainder when r(8) is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c + 12. Let l be k(12). Let z = 43 + -31. What is the highest common divisor of l and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + 4*(sqrt(245) + 4*(sqrt(245) + 0) + (sqrt(245) - (sqrt(245) + 0)) + 5) + 1)**2.\nAnswer: 7280*sqrt(5) + 98671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9190093 is divided by 115?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w - 2. Let t(v) = 30*v. Calculate y(t(j)).\nAnswer: -510*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1243 and 829307?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -873.81 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 2*u - 15116 = 0, -w = u - 3785. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 15. Let d = u - -40. Suppose d = -4*z + 89. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106 divided by 553?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -6) + (-2)\/1. Let p(x) = x + 3*x - 1 - 2 - w*x. Calculate p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -1\/2, 1.5, -1.16?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -145 - (-249 + 112) - (-9 - (0 + 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5*o + 25, 10*f - 2*o = 13*f. Let t = -1.7 + 0.7. Which is the nearest to 0.1? (a) -11 (b) f (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 8*u**2 - u + 11. Let o be b(8). Suppose 0 = 9*d + 677 + 79. Let t be (-2 + d\/(-35))*5\/1. Solve z + o = 2*r, 6 = -t*r - 3*z + 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37260 = 26*j - 13418. Is j smaller than -917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 85992289.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5124072.2 to the nearest 1000.\nAnswer: 5124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -3\/7 (c) 3 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 11. Let s be 32\/12 + h\/1. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - b**2 - 5*b + 6*b to a + v*b**2 + h*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 11. Let r = h - 14. Suppose -w = k - 4 - 1, -k = -r*w + 15. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 3*n - 14 = -14*w, 6 = -2*w - 2*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 88655.5 and -1153.\nAnswer: 87502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 793 + -97537\/123. Are 0 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 + 4. Let y(c) = -c + 26. Give d(y(o)).\nAnswer: o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.816142 - -0.007428. Let a = 1.813 - k. Round a to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 23*p**2 - 41*p + 160. Calculate q(13).\nAnswer: -2063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(6)\/sqrt(3)))**2 + (sqrt(13) - (sqrt(195)\/sqrt(5) + sqrt(39))\/sqrt(3)) + 1.\nAnswer: -sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -33. Let n = 22 + k. Let m = n - -26. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/9, 100, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k - 1. Let u be g(1). Let n = 211 - 211. Suppose n = -0*a + u*a. Solve -l = -2*q + 14, q - l - 9 = -a*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 383035, 1532147, 3447357, 6128671, 9576095?\n\"Answer: a**3 + 383043*a**2 - 24*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let t = -1 + 4. Let r = t - 1. Sort -0.3, q, r in ascending order.\nAnswer: q, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y. Suppose 0 = -6*s + 3*s - c - 22, y = -5*s + c - 26. Let b = s - -6. Solve 0 = 5*j - b*a - 2*a - 4, -2*j = -4*a + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-3)\/2)*1\/3. Let c = -0.3 - -1.3. Let z = 2 - c. Put -5, z, d in decreasing order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45319.83ng in tonnes?\nAnswer: 0.00000000004531983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q - 11*q + 7*q.\nAnswer: -29*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-22))\/((-180)\/130680*99).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -7*w**6\/120 + w**5\/10 + 4*w**2. Find the third derivative of i(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 12 = -2*x, -5*z + x - 3*x - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -762764041*g*s**3 + 111868*g*s**2 + 19*g*s - 8*g + 2*s**2 + 2 wrt s.\nAnswer: -4576584246*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -163600 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = -218 - 88 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444354806?\nAnswer: 2, 7, 17, 31, 229, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 6:35 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 472.654036 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1727169 - 1727169 - 1742*f**3)*(3 - 1 + 1) as n*f**2 + t + s*f**3 + i*f and give s.\nAnswer: -5226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32295 divided by -77\nAnswer: -32295\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 9*y + 50490. What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 + -1))\/(1\/(-11)*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1443.\nAnswer: -4\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8575 divided by 1225.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17)*c**(2\/5))\/((c\/(c\/((c*c**(-6))\/c)))\/c**7) assuming c is positive.\nAnswer: c**(1149\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*((-12*h - 5 + 5)*(-2*h + 3*h + h) + 0*h**2 + h**2 + h**2).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(12\/(-9))\/(4\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1130*z - 25. Let c(r) = -226*r - 5. Let v(j) = -11*c(j) + 2*s(j). Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-68\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 873 - 872. Which is the nearest to -2\/7? (a) -1\/88 (b) i (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/5 and -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6154 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -41. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -26. Solve -o = -4*g + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1402543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-190))\/(48\/64)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6717080791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:55 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 385\/6. Sort -2, 3\/8, x in ascending order.\nAnswer: -2, x, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29154686 and 12760?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 10*m. Give c(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 11*w**2 + w - 9. Let y be (2 + 4\/(-3))*-3. Let f be y\/6 - 68\/(-6). What is the lowest common multiple of 22 and g(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -3583, -3588, -3595, -3604, -3615?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*10*(-3)\/(-4)*(-6)\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114, -445, -1046, -1971, -3274, -5009, -7230?\n\"Answer: -9*s**3 - 81*s**2 - 25*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 - 4*j**2 + j + 20. What is the remainder when 9 is divided by y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 67*v. Let j(u) = -65*u. Determine -3*i(m) - 2*j(m).\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 4*s + 2. Let p(x) = -x**3 - 29*x**2 + 60*x - 60. Let h be p(-31). Let l(i) = -7 + 0*i + 11*i + 2*i + 13*i**3. Calculate h*l(m) + 7*u(m).\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116840 divided by 5080.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94579\/9 - -10509. What is the second smallest value in 3, 59, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18006317?\nAnswer: 7, 67, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j + 154 + 236 = 0. Let q(a) = -a**2 - 10*a + 6. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -124, 189, -1\/9.\nAnswer: -124, -2\/7, -1\/9, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 2, y: 2}. What is prob of sequence vy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -7 (c) 3241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**2 - 139*v + 151. Determine o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.197937593 rounded to four dps?\nAnswer: 0.1979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:30 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 - -184. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/297 and -73\/288.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + 7. Let l = k - 68. Suppose -3*q - 5*a + 55 = 0, l*a - 3*a + 38 = 2*q. Is 24 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 3*s + 5*g, 0*s + s - 70 = -2*g. Suppose s = 5*k - 2*l + l, l = -k + 14. Let w = k - -1. Solve w = -0*t - 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2381960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 55. What is the remainder when r(0) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f + f + 153*f**3 - 149*f**3 - 3*f**4 - 3 to the form x*f + z*f**4 + w*f**2 + j*f**3 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 2, w: 3, m: 3, d: 3, v: 3}. Give prob of picking 1 z, 1 d, 1 m, and 1 w.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001011100 (base 2) in base 3?\nAnswer: 21011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 + (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*q**3 + 1100*q.\nAnswer: -342*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 3*u + 12)*(2*u**3 + 3*u**2 + 165*u - 165*u) in the form z*u**3 + t*u**4 + y + o*u**2 + r*u and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*c - r + 5*r, 5*c - 3*r - 17 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 11 + 23. Let w(z) = -5*z + 18. Determine w(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/30 - (-20)\/300. Do k and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 + -21)) + -50?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 2*q - 2*q + (q - 4*q + 4*q)*(-q**2 + 3*q**2 - 4*q**2) - 7*q**3 + 7*q**3 + 10*q**2 + 2*q**3)*(-q - 1 + 1).\nAnswer: q**4 - 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 14*j**2 - 14*j + 5. Let u be q(13). Is -10 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 987951452 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 4.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266 is divided by 213.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 437*b. Let k(c) = 7*c**2 - 10*c - 3. Determine n(k(t)).\nAnswer: 3059*t**2 - 4370*t - 1311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 + 2)*(5 - 4 + 0) - 2 + 1 - 1)*(53 + 46*g - 53)*(-1 + g + 1).\nAnswer: -184*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 3*u. Let d be w(-2). Let k = d - 6. Find the third derivative of -4*i**3 + 4*i**3 + i**k + 3*i**2 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60493, -242333, -545389, -969655, -1515125, -2181793, -2969653, -3878699?\nAnswer: -4908925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -12484, 3 in descending order.\nAnswer: 3, 0.4, -12484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8424 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25390 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-11)\/(-44))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 12. Let r = -2.67 - -2.85. Which is the third biggest value? (a) -0.1 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/4)\/2)\/(-10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 40 - 1 = 0. Let i be (-2)\/8 - 17\/(-4). Suppose -5*u + q + f = -20, -i*q = u - 16. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20232, -59, -3 in ascending order.\nAnswer: -20232, -59, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from uumuvvumuuu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0.7, 0.2, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 18. Let c be ((-4)\/(-6))\/(r\/(-24)). Is 1\/3 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3578, 3625, 3672?\n\"Answer: 47*u + 3531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -0*l. Let d(a) = -6*a + a**2 + a + a**3 - 4*a**2 - 3. Calculate d(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 9 + 5*f)*(3*f - 5*f + 0*f) + 20*f**2 - 2*f**2 - 3*f**2 to the form c*f + p + j*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96 + 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - -1) + (-1 - -1). Let d(j) = -2*j - 40. Let k be d(-21). What is the closest to 0 in u, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1525958 and 95\/204454.\nAnswer: 230419658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 58341*l - 583511. Calculate n(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*q - 98*q = -8. Let z = 23 + -26. What is the nearest to -0.1 in z, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(-2\/15)*p)\/p*p*p)\/p)\/(p\/p**8)*p\/(p**(-1\/10)*p)*p\/p**(-2\/5))**(1\/2) assuming p is positive.\nAnswer: p**(311\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a minute in seconds?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 2 + (74 - 70).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 390 + -390.0267. Round a to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.00000015 + -13. Round l to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -88*g + 7144. Let l be d(28). Calculate the highest common divisor of 200 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - -1.89. Let x = k + -3. Let i = 1 + x. Is i less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140022 and 2133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/20 - s**4\/3 - s**3\/6 + 2*s**2 + 3*s. Calculate the common denominator of a(3) and 0*2\/(-4) + (10920\/(-18))\/(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 2534?\nAnswer: 2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/28)\/(3\/(-14))*3. Suppose 4*f - b = 4. Suppose -5*q + 855 = 4*a - 0*a, -f*a - 2*q + 428 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/13 + 42*o**2\/13 + 272*o\/13 - 480 = 0. What is o?\nAnswer: -12, 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 3*t + 5*i, -3*t + i = 20. Let x(y) = -1 - y**2 + 3*y**2 + y**2 + 0*y**2. Let o be x(-1). Put -3, o, t in decreasing order.\nAnswer: o, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-4)*2)\/(12\/6)*(-128)\/96?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -2, 94, 4\/7, -3, 0.3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2)*5\/(-240)*128\/(-32)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61109738*x**4 - 11220940*x wrt x?\nAnswer: 733316856*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 0.12 (c) -3\/115 (d) 0.3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - i + 26 - 2*i)*(0 + 0 + 1)*(0*i + 2*i - 4*i) to the form b*i**2 + q + a*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1606459074 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -679*m + 664*m + 75 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = -5*f, -f + 0*f + 6 = -4*z. Let w be ((-4550)\/(-21))\/((-1)\/12*f). Suppose -5256 - w = -4*t - 4*q, -4*t = -2*q - 6580. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(12)\/(sqrt(4)\/sqrt(2))))\/(sqrt(15)\/(3*sqrt(5)*-1)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32679893 to the nearest integer?\nAnswer: 5717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3 times -2.6?\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (228*j - 432*j - 3681*j)*(-2 - 1 + 2 + 5 - 2 - 2 + (-3 - 2 + 6)*(0 + 0 + 1) + 3 - 6 + 2 - 1 + 0 - 1) to the form m + n*j and give n.\nAnswer: 7770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676.5658 + 1.8.\nAnswer: 678.3658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3040?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dnzxv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 15. Let k(r) = r**2 + r - 1. Let n(v) = -4*v**2 - 6*v + 6. Let j(u) = f*k(u) + n(u). Let c(q) = q. Calculate c(j(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:13 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 467435 divided by -166\nAnswer: -467435\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4267.255 micrometers to nanometers.\nAnswer: 4267255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 11 = h. Let x = h + -8. Suppose -x*n = -62 + 23. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -0*h. What is a in h*a**2 - 2*a**2 + 0*a**2 + 12*a - 5*a**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 9*t**2 - 4*t + 2. Give r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Suppose 4*w = 2*n + 20, -6*n = -5*w - 2*n + 28. Let c(s) = 3*s**2 - 3*s**2 - s**2 - w*s**2. Give c(k(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14462 divided by -484?\nAnswer: 7231\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 2516\/(-111))*-3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Let h(a) = -a**3 + 5*a**2 + 2*a - 4. Give h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599\/30 - 119\/6. Put 2\/5, t, -30 in ascending order.\nAnswer: -30, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 52. Let d(q) = 66*q - 740. Let k(l) = -7*l + 83. Let a(p) = 3*d(p) + 28*k(p). What is 6*a(g) + 11*s(g)?\nAnswer: g + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -91.27, 3, -5, -5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 60 + 0 + (-14 - -5 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -2 - (3 + (-3 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-25))\/((-1)\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v. Let q be p(-2). Suppose 8 = q*i + 62. Let h = 45 + i. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))*-1.\nAnswer: -1 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-60) + 3576\/(-360)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.9 + 20. Which is the nearest to -2\/5? (a) -4 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 - 37 = -5*d, d = 4*u - 14. Let n(r) = -2*r - 3*r + d*r + r. Let q(c) = c**2. Give n(q(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 14) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) 2\/7 (c) 1\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/4 - 3*j + 27547 = 0.\nAnswer: -338, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22523, 90084, 202687, 360332, 563019, 810748, 1103519?\n\"Answer: 22521*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 58*l - 400. Suppose 74*z - 76*z + 40 = 4*f, -2*z + 33 = 3*f. What is o(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 61*w**2 - 53*w - 78. Give i(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 3)*(7 + 0 - 2)*(-6 + 6 + 4)*(12*s - 22*s - 10*s) to h*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*t = -4 - 1, 0 = 3*t + 9. Suppose 119 = p*l - 81. Calculate the remainder when l is divided by (-3 - (-39)\/6)*(6 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3176 - 38*w - 3176)*(-2 + 6 - 3)*(-1 - 2 + 4) as p*w + y and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 1, f: 8, q: 4}. Give prob of picking 1 x and 1 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 54*q - 110. Suppose 2880 = 5*c - 4*x, -23*c - 1765 = -26*c - q*x. What are the prime factors of c?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3 + 7) - (-3)\/6. Suppose w = 4*s + 16 - 28. Let f(l) = -l**3 + 4*l**2 - l - 4. Give f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*f + 10, 0*f = -3*n - 5*f - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2941 + -44093\/15. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/18)\/(-1*(-1)\/(-3)). Let j be (2 + -2 + 1)\/1. Calculate the remainder when 18 is divided by j\/((-9)\/10 - i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3 (c) 0.01 (d) -14 (e) -153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2*s - 4. Let m be r(-3). Let t be (-12)\/16*(-2)\/(-3). Which is the nearest to t? (a) m (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n - 2. Let k be f(-3). Let l = -2 + k. Let x(t) = 2*t - 4. Let g be x(3). Is l < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6739 + -6433. Suppose -4 = -3*v + 2. Let r(s) = 2*s**v + 2 - 5*s**2 + w*s**3 - 307*s**3. Calculate r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95.14 - 87.2. Let y = 17 + -25. Let s = u + y. Sort s, 0, 1.\nAnswer: s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 2 - (-3)\/(-1). Suppose 0*w - 300 = -f*w. Let y(l) = l**3 + 2*l**2 - 1. Let k be y(2). What is the greatest common factor of k and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -2*h + 92 = -x - h, -100 = x - 5*h. Let o be 38\/x - ((-216)\/30 + 7). What is the closest to 4 in o, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2919*x + 21630 = 34711 - 91096 - 53340 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2780 + 2787. Solve 2*g = 2*b + 12, -3*g - p = -3*b + 5*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 118 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86832 divided by 27.\nAnswer: 3216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let f(i) = -67*i. Determine f(a(d)).\nAnswer: -67*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**(1\/55))**(2\/87)*((l\/l**5)\/((l\/(l**(1\/2)\/l))\/l))**(-47) assuming l is positive.\nAnswer: l**(2024051\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719770969.\nAnswer: 349, 2062381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 9. Let a be g(6). Let o(m) = -3*m**2 - 3 + 3 - 3 + m**3. Let i(k) = -k**2 - 1. Give a*i(h) + o(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -52. Let s = -18 + 25. Let l = -4 + s. What is the biggest value in w, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b - 10. Let z = 191 + -190. Let q be v(z). Factor q*f + 3\/4*f**4 + 0*f**2 + 0 - 1\/4*f**3.\nAnswer: f**3*(3*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 8. Calculate a(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101525314 + -32?\nAnswer: -101525346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129421, -258589, -387757, -516925?\nAnswer: -646093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (1 + -6 + -24 + 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160190627, 320381249, 480571869, 640762487, 800953103, 961143717?\n\"Answer: -w**2 + 160190625*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -103*p + 5743. What is a(56)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-84)*6\/30*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.180211182023 - -87773.878799817977. Let c = 87774 - k. Let o = -0.059 - c. Round o to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c*c**(6\/11))\/((c**(20\/7)\/c)\/c**21))**(-10) assuming c is positive.\nAnswer: c**(-14390\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/1680*189)\/((-3)\/(-22))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 3621*r**6\/40 - r**5\/60 + 365*r**4\/4 - r**2 - 63*r + 46. What is the third derivative of w(k) wrt k?\nAnswer: 65178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2 + 2*d**2 + 3*d + 7 - 3*d**2 + 3. Suppose h + 4*l + 2 = -0*l, 4*h + 3*l - 18 = 0. Determine f(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.2 (b) 2 (c) 47 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 3. Let y = -1 - -2. Let a be (0\/(-1) - -3)*y. Let x(n) = 14*n - 8. What is a*x(m) - 8*o(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -93*5\/(-15)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3284416\/252)\/1*-1. Let h = b + 13032. Calculate the common denominator of -76\/63 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.3 - -16. Sort 3, w, 0.2 in descending order.\nAnswer: 3, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12744693751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144 - 118) + (-7 - (0 + -1 + 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - t**2 - t - 1. Let b(c) = 12*c**3 + 18*c**2 + 15*c + 15. Let s(k) = b(k) + 15*d(k). Give s(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -200*r**2 - 13*r - 7. Let f(z) = -133*z**2 - 9*z - 5. Determine -7*f(c) + 5*w(c).\nAnswer: -69*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 - 209591*v**2\/2 - 235799*v - 52400 = 0. What is v?\nAnswer: -2, -1\/4, 52400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glgggggggddduggvgvvf. What is prob of sequence dd?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23402 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43 and -0.7.\nAnswer: -43.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*v - 2660968 = -2644612 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73.2344 * 0.1.\nAnswer: 7.32344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118646367.\nAnswer: 3, 7, 5649827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 13. Let y be d(-2). Let u = 2409 + -2414. What is the third biggest value in y, u, -1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 7. Let d = 13 - v. Suppose 3*x = 3*j + 8 + 28, 0 = 5*x - 3*j - 54. Calculate the greatest common divisor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/7 and (-34 + 36)*(-57)\/(-33)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -15. Let n be (-15)\/20*d\/3. Sort -1\/5, 1\/6, n in descending order.\nAnswer: 1\/6, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y - 5*n + 17, 5*y - n - 15 = 0. Let h(j) = -350*j + 2804. Let x be h(8). Let r(s) = -2*s - 2. Let b be r(-3). Solve x + y = b*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, k: 2, n: 4, d: 7}. Give prob of sequence nka.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 - 11*s**3\/6 + 3*s**2 - 2*s + 3. Determine a(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*g**5 - 2*g - 107 wrt g?\nAnswer: 3280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 282 = -312. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7169878 is divided by 1058.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 588, 828, 1060, 1278, 1476?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 2*a + 6 - 5*a. Let h be 4*(-76)\/(-80) + (-48)\/(-40). Let v(l) = 9*l - 5. Give h*z(i) + 6*v(i).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6 - 77*n + 44*n + 35*n. Let z(c) = -5*c + 17. Determine -8*t(f) - 3*z(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(55)\/sqrt(5)))\/sqrt(2).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 1674 = -642. Let q = 608 - 394. Calculate the remainder when q is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 19. Let f be (-2)\/3 - (-42)\/u. Let h = -6 + f. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.09 + -53. What is the third smallest value in u, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c7a7 (base 13) to base 3.\nAnswer: 202021021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3304 + 3070.1. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.648 - 13.64799911682. What is d rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713576*r**4 + 2*r**2 + 1509*r - 26 wrt r.\nAnswer: -17125824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/(-180)*27\/27*1*4.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643a68 (base 15) to base 5.\nAnswer: 2210134343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 7. Let k(z) = -z + 4. Calculate the remainder when ((2 + -1)*-11)\/q is divided by k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:05 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 62 = -1344*g + 1342*g, -5*g = -3*d + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2)\/3 + -8. Let z = 23 + a. What is the remainder when 52 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1272, 5126, 11548, 20532, 32072, 46162, 62796, 81968?\n\"Answer: -h**3 + 1290*h**2 - 9*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*v - 86*v - 1186 = 398*v + 2012 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x = -45*x - 63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/14)\/2*(-59 + (-6494)\/(-102)). Suppose -3*m - 128 = 2*x, m + 176 = -3*m - 4*x. Let w be (-2)\/9 - m\/126. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1844 = -d + 33*y, 9*y = -2*d + 5*y + 520 - 288 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - -106. Suppose -2*f + 46 = -4*k + 394, f + 3*k + l = 0. Let p = 421 + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12763542 (base 8) in base 10?\nAnswer: -2877282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 2*u + 21. Determine o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 40, -3, -118, 0 in decreasing order.\nAnswer: 40, 3, 0, -1, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*k**3 + 81*k**2 + 2?\nAnswer: -1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -146*r + 3931. Let o be p(27). Let a(j) = -j**3 - 13*j**2 - 22*j - 4. Give a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -65?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-624))\/(27\/(-102)*(-230)\/60) and 11\/36.\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) - (-3 + sqrt(175))) + -3*sqrt(63))**2 + ((sqrt(63) + 1)**2 - (4 + sqrt(7)*3)))*-4.\nAnswer: -2544 + 204*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (1\/12 + ((-999)\/(-12))\/37). What is the nearest to n in -3\/4, 2\/43, -23, 4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/10)\/((-6)\/40). What is the smallest common multiple of 16 and (4\/(-5))\/((-4)\/a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(54))\/(sqrt(12)*5 + sqrt(3)) + 4 + -5.\nAnswer: -1 + 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -656072, -656080, -656102, -656144, -656212, -656312?\n\"Answer: -a**3 - a**2 + 2*a - 656072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -44. Let b(d) = -d + 24. Let k be (-42)\/8*8\/(-3). Calculate the lowest common multiple of b(k) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1274 + -869. Suppose 0 = -2*u - 4*t + 156, 3*u - v = -2*u - 5*t. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-30)*h**(-31)\/h*h assuming h is positive.\nAnswer: h**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x + 5. What is m(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 317c - -32bc?\nAnswer: 6449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0.9. Let s = 46 - 45. Let d be 3\/(-6) - 27\/(-46). Which is the nearest to s? (a) -2 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 503259150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6014 + 6013.90854. What is u rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.63737cm in meters?\nAnswer: 0.4963737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 227\/9 + 33\/(1485\/(-10)). Solve i*p - 16*p = -45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 744*w - 34596.\nAnswer: -4*(w + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869566, -869576, -869592, -869614, -869642, -869676, -869716?\nAnswer: -869762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52241 is divided by 6530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -16. Let a = w + 13. Solve 0*x + a = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Let r(d) = 0*d**j - 3*d + 5*d**2 + d**2 - 4*d**2 - 5. Determine r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000387 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3317137 and 101?\nAnswer: 335030837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.85942 - -16886.84058. What is k rounded to the nearest one hundred?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1608726*b - 11701378 wrt b?\nAnswer: -1608726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -20. Suppose -3*h + 2*q + o = -4*h, -5*h = -5*q - 50. Let w = -1 - -0.8. Which is the third biggest value? (a) w (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 240118*t**3 - 2881608*t**2 + 11526688*t - 15369088.\nAnswer: 2*(t - 4)**3*(t + 120071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139628805 and 465?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 4*b + 3*b**3 - 8*b**4 - 5*b**3 + 2 + 6*b**4 to f*b + n + z*b**3 + p*b**4 + v*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2019 is divided by 670.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (239655\/117)\/(10\/12).\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**2 - 63 + 32 + 0*c + 0*c + 27.\nAnswer: -31*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84, -89, -1, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 7*c**5\/5 - 35*c**4\/4 + 1066*c - 466. Differentiate k(z) wrt z.\nAnswer: 28*z**3 - 105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.4. Let d = -0.7 - -0.6. What is the closest to d in v, -3, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 30296.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**2 - 2*i**2 + 19*i**3 + 24*i - 17*i**3.\nAnswer: 2*i*(i + 1)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**4 - 5*d**2 - 5*d + 5. Let o(w) = -13*w**4 - 8*w**2 - 7*w + 8. Let c(q) = -8*b(q) + 5*o(q). Find the second derivative of c(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 7*x - 4. Let n(f) = 11*f - 8*f + f**2 - 4 - 9*f. Let v = 14 + -8. Let r(z) = v*u(z) - 7*n(z). Find the first derivative of r(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27731329 rounded to three dps?\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.6. Let p be (-36)\/(-28) + -2 + 1. Which is the nearest to p? (a) -1 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.098 - 1.391. Round t to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9)*1 - (-20)\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from dlguuuuhhyluuyy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 4 - 250\/(-65). Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 666365*w - 12662740.\nAnswer: 5*(w - 19)*(w + 133292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 125860752 to the power of 1\/2, to the nearest integer?\nAnswer: 11219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*s - 3*s = 283535, s = -2*w + 113414. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*q - 127*q - 2450 = -131*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/110 and -59\/140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 259*o**2 - 17 + o**3 - 2*o**3 - 132*o**2 - 144*o**2 - 55*o. Let p be a(-12). Sort p, 4, 5 in ascending order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16248288*g**2*n*v**3 + 4*g*v**3 + 5*g - 7715*n wrt g.\nAnswer: 32496576*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 166\/(-8) - 8\/32. Is ((-102)\/o)\/(28\/5194) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7747\/3 + 2577. Let i = -5\/2 - -3. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 5915?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let d = 0.41 + -0.01. What is the third smallest value in -4\/9, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - 738*d**2 + 10648?\nAnswer: 3*d**2 - 1476*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -5*i + 28 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 34. Suppose g = 9*l - 2*l - 616. Let j = 133 - l. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 15. What is the remainder when 43 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 12) to base 7.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121969238 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 29. Which is the nearest to 0? (a) 0.1 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:18 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 14192.\nAnswer: 70960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 76.1581?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3294, 3338, 3382, 3426, 3470?\nAnswer: 3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -473 + 561. What is the remainder when 250 is divided by i?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1177.123807 to the nearest integer.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 320*f + 324.\nAnswer: -4*(f - 81)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = -h, 5*h - 11 = -2*b + 13. Suppose 0 = m + 5*g + b, 2*m = 5*g + 14 - 3. Let p = m + 15. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/96 + -3\/32. What is the second biggest value in 3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42119 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127788.5 rounded to the nearest one thousand?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 411 = 4*c - 2*a, -5*c = -2*a - 504. Let s = c + -31. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r**3 + 26\/3*r + 10\/3*r**2 + 14\/3.\nAnswer: -2*(r - 7)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-100 - -46) + 37.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -441, -608, -891, -1296, -1829, -2496?\n\"Answer: -t**3 - 52*t**2 - 4*t - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38741 + -38688.186. What is q rounded to 1 dp?\nAnswer: 52.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 8. Let u(f) = 22*f - 2. Give u(r(o)).\nAnswer: -44*o - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/32 + 40\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3655420249?\nAnswer: 13, 281186173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139149.33 - -0.19?\nAnswer: 7139149.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**3 + 14\/5*q + 8\/5*q**2 - 4.\nAnswer: -2*(q - 5)*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-274 - -275) + (-6 + 10 - (3 - -27))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127307 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118784 is divided by 559373.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: (101 - 77) + (-16 - 14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-104301)\/54*(0 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*r - r - 96, -93 = -4*r - j. Let d = r + -7. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 6*n**2 + 8*n - 6. Let r be (-14)\/(-77) - (-57)\/(-11). Let k(p) = -p + 2. Let l be k(r). Give i(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37469 and 68623.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 240*p**2. Let w(f) = 6*f**2 + 3961*f. Calculate w(u(c)).\nAnswer: 345600*c**4 + 950640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*c = -675*c + 16056 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 630 = h, -3250 = -3*h - 2*h - 5*a. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4 = -4*v, 3*g = -4*v - 1 + 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 57*p**2 + 5*p + 6. Calculate the remainder when 74 is divided by m(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 8*k + 33. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18783 + -4?\nAnswer: 18779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 36. Let r be m(15). Let t(j) = -j**3 - 5*j**2 - 16*j - 10. What is the remainder when t(r) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4*c + 2. Let v be m(4). Factor -100*d**v + 269 + 144*d + 3*d**3 + 136*d**2 - 77.\nAnswer: 3*(d + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 + 33 = -5*p, 3*l = -2*p - 22. What is the remainder when 138\/l*(-12)\/9 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.738 + -3.24. Let f = -0.002 - v. Sort -6, f, 0.4, -0.3 in decreasing order.\nAnswer: f, 0.4, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 16) + (2168 - 2134)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 + 669 - 1337 - t + 666 - t**2. Calculate the remainder when 26 is divided by g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**6 + 1\/105*j**7 + 0*j + 0*j**4 - 1\/30*j**5 - 3*j**2 + 0*j**3 + 0. What is the third derivative of v(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 - -4211003144?\nAnswer: 4211003032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-160)*((-28)\/1)\/14?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/72)\/((1\/(-3))\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4113449 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1037 divide 71063536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let d(c) = -1 + 6*c - 2 + s + c**2. What are the prime factors of d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:22 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 0*m - 9*m)*(5*m - 4 + 4)*(-3 - 3 + 5) in the form l*m**2 + h + p*m and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -471737 by -67391.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 0*t + 5*t - 3*t to the form p + k*t + n*t**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose -4*s = 5*i - 3*i - 6, r*i - 5*s = 6. Suppose -x = -i*m - 33, -m + 42 = 3*x - 37. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*-3 - -3. Let p = 9.3 - 9. Let u = -0.2 - -0.3. Which is the nearest to u? (a) x (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4449 + 9102. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/5)*t*(t\/(t*t**(-4\/3)*t))\/t*t)**(1\/56) assuming t is positive.\nAnswer: t**(1\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = l - 637 + 47, -l = -5*w - 586. Calculate the smallest common multiple of l and 72.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/30 + r**5\/12 + r**4\/24 - 7*r**3\/6 - 4*r**2 + 2*r. Does 5 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0. Let r = 0.2 - x. Let z = -3.5 + 0.5. What is the closest to 2\/3 in r, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*d + 7, -3*l + 6*l - 21 = 3*d. Let g(v) = v**3 - 6*v**2 + 3*v + 2. Is 11 a factor of g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 5. Let y(l) = 3*l - 6. Suppose -7*s + 15 = -2*s. What is s*y(h) + 4*n(h)?\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -42 (c) 1 (d) -1\/4 (e) 917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 7. Suppose o - 4*f - 11 = 2*o, -4*o + 2*f - 26 = 0. Is 21 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {h: 3, l: 7, c: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -56*h - h**2 + 56*h. Let j(v) = -85*v**2. Calculate f(j(d)).\nAnswer: -7225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774 = -20*p - 66*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2 + 5) - (-22)\/(-12). Let f = 53 - 51. Which is the second biggest value? (a) 0 (b) f (c) h (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1350.9261 months?\nAnswer: 112.577175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55841864*c**2*y - 2*c*y - 645*c + y - 2754 wrt c?\nAnswer: 111683728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13847, 13783, 13719?\n\"Answer: -64*c + 13911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:04 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -2447?\nAnswer: -14682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -43, -7, -34, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 19*p - 3*p - 16*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*m - 7*g = 31, -33381*m + 33385*m - 2*g - 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3522147mm to nanometers.\nAnswer: 352214.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -20*y - 6. Let j = -6838 - -6839. Give u(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*r - m, m - 6 = -3*r - 0*r. Suppose -20 = -5*a + 3*d - 2*d, -a - r*d = -20. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5103 + 5103 + 18*l**3 - 3*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 1865*c - 985300.\nAnswer: 5*(c - 668)*(c + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/619644 and -59\/1858932.\nAnswer: 1858932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253318664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.114 + 0.086. Which is the nearest to 1? (a) 1\/3 (b) -1\/17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245744302 a multiple of 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**4\/7 - 1984*z**3\/7 - 253788*z**2\/7 - 1918816*z\/7 - 238144 = 0.\nAnswer: -244, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 40 = 0. Suppose -3*b = -2*g - w*b + 195, 459 = 5*g + 3*b. Suppose 5*h - g = -0*h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 21 = -63. Suppose y*k = 44*k - 2. Sort k, 2, -5, -3 in decreasing order.\nAnswer: 2, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298856, -1195422, -2689698, -4781684, -7471380, -10758786, -14643902?\nAnswer: -19126728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93152209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/64462 and 95\/72777598.\nAnswer: 72777598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = 720. Calculate the highest common divisor of 36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 244, 199, 114, -23?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(57) - sqrt(456)\/sqrt(8)) - sqrt(57))\/(-4*sqrt(3)*1).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2624 + 7979\/3. Which is greater: 37 or b?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -641053*j**3*l + 2*j**2*l - 7*j**2 - 24*j*l + j - l wrt j?\nAnswer: -3846318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/(l\/(l*l**3)))\/((l*l\/(l*l**(4\/9)))\/l**(-3\/2)) assuming l is positive.\nAnswer: l**(-145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 20*l + 17*l + l**3 + 2 + (-59*l - 54 + 54)*(2*l**2 - 2*l**2 - 2*l**2) to the form h*l + t*l**2 + k + m*l**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 68*r + 1160. Give n(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20284 is divided by 156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 3*w + 3. Let u(z) = -5*z**2 + 7*z - 3*z - 4 + 0. Let q be (48\/8)\/((-1)\/(-1) - -1). Suppose -83 = -20*k - q. Determine k*n(j) + 3*u(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.9 + 42.1. Let p = 0.2 - f. Is -21 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*s + 259, -5*s + 87 = 4*p - 446. Let z = p + -116. Which is smaller: 29\/2 or z?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15329 is divided by 295?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -22. What is the greatest common factor of 162 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 32*z**2 - 2*z - 56. Determine k(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.68134 - -2.31711. Let m = -5 + b. What is m rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 758.\nAnswer: -5\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 = -w + 4, -s - 2 = -4*w. Suppose -2*t = -4*b + 1 + 3, 4*b - 12 = -s*t. Solve t*q - 3 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**3 - 13*i**3 - i + 0 + 0 + 1 to the form j*i**2 + p*i**3 + a*i + q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*p + 3*v, -7*p + 5*p + v + 14 = 0. Suppose -8 = -4*n, -573 = p*x + 3*n - 5264. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -2.5. Which is the second smallest value? (a) m (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024158 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 103*m + 1\/4*m**3 + 9\/8*m**2 + 0 - 1\/6*m**4 - 3\/40*m**5 - 1\/120*m**6. Factor w(d).\nAnswer: -(d - 1)*(d + 1)*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.722315 + -989930.277685. Let a = -989919.99978 - h. Let s = a - 12. What is s rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1844)\/22 + (-312380)\/(-171809).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.481 millennia in decades?\nAnswer: 37248.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469, 961, 1455, 1951?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 137, 221, 345, 515, 737?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (12 - 29) - -29.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9210 - -9215. What is the closest to -0.23 in -0.2, m, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n**0*n*((n\/n**(-3\/10))\/n)\/n)**(-22\/3) assuming n is positive.\nAnswer: n**(-473\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/(7\/(-28)*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52107 - -69.8\nAnswer: 52176.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + 6*2*sqrt(160))\/(sqrt(360)\/sqrt(10)))\/((sqrt(5808)*-2)\/(sqrt(150)*1 - sqrt(6))).\nAnswer: -26*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/10 - 114*u\/5 - 6498\/5.\nAnswer: -(u + 114)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-97 + -1)*((-2)\/(-4) - 1). Is c\/28*(505 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1\/4 + (-966)\/(-168))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/9))\/v**(-9\/7) assuming v is positive.\nAnswer: v**(172\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -46. Suppose 0 = -5*i + 3*s + 156, n*i = -2*i - 2*s + 72. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128436 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -15070?\nAnswer: 1\/7535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**3 + 51838515*d**2 + 51838512*d**2 - 103677027*d**2 - 3.\nAnswer: -38*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 11. Let b(y) = -2*y. Calculate b(t(q)).\nAnswer: -10*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -513 + 513. Are -25\/18 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 11*l**2 + 11*l + 12. Let z be m(12). Let b(i) be the third derivative of -i**6\/120 + 5*i**3\/2 + 19*i**2 + 3*i. Calculate b(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6159009 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: Let n(i) be the second derivative of -i**5\/25 + 11*i**4\/15 + 28*i**3\/5 - 10*i - 2. Factor n(b).\nAnswer: -4*b*(b - 14)*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -664, -714, -780, -868, -984, -1134, -1324, -1560?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y + 15. Let l be b(12). Factor -8\/9*g**2 - 4\/3*g**l - 2\/9*g + 0 - 8\/9*g**4 - 2\/9*g**5.\nAnswer: -2*g*(g + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfsfsxfffx. Give prob of sequence fxs.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 - 428. Let j(t) = 6*t**2. Give w(j(o)).\nAnswer: -144*o**4 - 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:45 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 261 = 5*g, 0 = -g + 5*c - 12 + 41. What is the least common multiple of 1890 and g?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2799*i - 2802*i - 2798*i + 11202*i - 7 - 2799*i.\nAnswer: 4*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -510 + -14?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2183, 4398, 6613?\nAnswer: 8828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 64980501330 and 11.\nAnswer: 64980501341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -15761.44\nAnswer: 7880.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.933448 + -0.056481. Let f = 16 + -16.99. Let n = f - i. What is n rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -1193 (d) -46804\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/655479 and -68\/19863.\nAnswer: 655479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/1889 (b) 1.9 (c) -2 (d) -6 (e) -4 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v + 5377 = 3145 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 75 = 4*c. Suppose -s + 516 = 5*v - 4*s, 0 = -s + 3. Calculate the greatest common factor of v and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 - 64*p - 1. Give g(8).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 13*y + 25. Let j = -5 - 6. Let l be p(j). Solve w - 1 = -l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42541920 divided by -686160?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405596731 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -655*u + 684*u - 725 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3*f**5 - 90147*d**3*f**2 + 15894*f**6 wrt f?\nAnswer: -240*d**3*f**2 + 1907280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/23)\/(-36 + (-6715)\/(-158)).\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6385916 and -2.\nAnswer: -12771832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*15\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*3\/(-6)*(51 + -11). Let b = -405 + y. Let m(h) = -h**3 - 5*h**2 + h. What is m(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 11:25 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9306*u + 269859. What is n(-29)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose -32 = g*s - s. Let j be 8\/s + 330\/8. Solve j = 4*o - 5*n, -o - 3*o - 5*n = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 131408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -0.06. Does c = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1395 = 4*t + s, -t = 3*s + 353. Let f = t + 758. Find the common denominator of (-3)\/((-4)\/(f\/99)) and -55\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 365 and 4115.\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y. Calculate n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 + 3*r - 6. Let g be (-120)\/(-9) + (-4)\/(-6). Suppose 4 = 3*q - g. What is the tens digit of d(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 9. Let v be ((-2)\/(-7) + (-78)\/28)*-2. Let x(w) = 3*w + 4. Calculate v*x(a) + 2*t(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104058?\nAnswer: 2, 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123 + b?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0.011, -2.8, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by 5.\nAnswer: -576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {n: 1, h: 2, z: 1, x: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 4*d - 14. Let n be u(10). Suppose n = -2*z - 14. Let q be z\/(-26) + -2 + 1. Which is the nearest to 1? (a) 5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22462, 44960, 67458, 89956, 112454, 134952?\nAnswer: 157450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 2. Let i be (-66)\/55*10*2\/8. Sort i, 0, p, 1\/3.\nAnswer: i, p, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 0 + (52 - 51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -7*i**5 + 110*i**4 + 29726*i**3 + 596148*i**2 - 449559*i - 176418 = 0.\nAnswer: -33, -2\/7, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kffy when four letters picked without replacement from yykkkfff.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09228 + 0.02.\nAnswer: -0.07228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x + 104*x = 610 + 2238 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12372)\/270 + (176\/(-40))\/11. Is y equal to -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -620650 - -2?\nAnswer: -620646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 767209\/33 - 23247. Calculate the common denominator of 43\/9 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -138.\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 52*u - 95. Give f(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 2*b + 2. Suppose 0 = -5*d + 4 + 11. Let f(l) = -l + 13*l - 4 + 4*l - 20*l + 5*l**2. Give d*f(i) + 7*k(i).\nAnswer: i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-592)\/(-42) + 34\/(-357). Is z at least 44\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1614099 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*d + 1, 4*d - q + 2 - 7 = 0. Let i be 2\/d - (-3 + 5). Is 1755 + 3 + -1 + i + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 638, 959?\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = -11. Let c = -0.007 - 0.593. Let r = c - -0.7. What is the second smallest value in j, 2, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466896 at least 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:31 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mqkmzmkm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41932 and 88.\nAnswer: 83864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2789 is divided by 696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 0 in increasing order.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -26. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khs when three letters picked without replacement from scokh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18422938?\nAnswer: 2, 71, 137, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1692*j*x**2 + j*x - 3*j wrt x?\nAnswer: 3384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7061481321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 3*j = -5*u + 35, 3 = -j + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g + 7 = w + 75*g, 0 = 3*g - 12. Let t = 12 - 7. Suppose 0 = -3*o - d + 4*d - 27, -t*o + d - 29 = 0. Put o, 1, w in increasing order.\nAnswer: w, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 64*n**2 + 64*n - 65. Let m be (-73 - -1)\/(-3) + (-39 - -46). Give o(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8 = 17. Let c(d) = d - 21 + 22 - 2*d + 0*d. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/16)\/((25585\/(-952))\/215).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69512490, -139024999, -208537508?\nAnswer: -278050017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/(-177))\/((-3)\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r**2 - r + 1. Let h(u) = -52*u**3 - 65*u**2 - 65*u + 65. Give h(y) - 65*w(y).\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4)*(-8)\/56*12. Factor f*o**2 + 6\/7*o + 3\/7.\nAnswer: 3*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/((-14820)\/3510))\/(-3)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (49 - (5 + (-15 - -18) + 2 + -14))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -423, -1297, -2879, -5373, -8983, -13913?\nAnswer: -20367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 1 - 1 + (22*d - 15*d - 19*d)*(4*d**2 + 10*d**2 - 2*d**2).\nAnswer: -143*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s + 60 + 68. What is the second derivative of -11*p**2 + 339 + 4*p**2 - 304 - 2*p + p**4 + p**4 - 7*p**s wrt p?\nAnswer: -60*p**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by 142?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - -35. List the prime factors of k.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -351012 and 0.1?\nAnswer: -35101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2e6ed0 (base 16) to base 13\nAnswer: -82710a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 0.79\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**6\/15 - 18*g**5\/25 - 29*g**4\/10 - 26*g**3\/5 - 18*g**2\/5 - 460. Determine t, given that r(t) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*h - 6. Let r be 3 + 1\/((3\/h)\/123). Suppose 4*z = u - 22, 2*z - r = -2*u - z. What is the remainder when 39 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -12, 5, -2\/7, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/(-435) - 6\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132513?\nAnswer: 3, 44171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.477 - 0.423. Let t = y + 18. What is the second smallest value in -0.2, t, -2, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 2*h**3 + 0*h**3)*(3 + 0 + 1)*(-5 + 2 + 1)*(-2 + 2 - 2)*(-h + h + 1 - h).\nAnswer: -32*h**4 + 32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.070951 litres in millilitres?\nAnswer: 6070.951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121110 (base 4) in base 10?\nAnswer: -13908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87373*v + 87420*v - 174708*v - 2210 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364*h**3 + 2751*h**3 - 1384*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2424.\nAnswer: -1\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -2\/13, 1, -143\/7, 0.6, 5, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 909*u - 820. What are the prime factors of j(6)?\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/448)\/(1\/(-34))*((-1380)\/(-45))\/46?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7307, 14650, 22007, 29384, 36787, 44222, 51695?\n\"Answer: c**3 + c**2 + 7333*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -4 (c) 1083 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s + 2. Let z(h) = 17*h**3 + h**2. Let g be z(1). Suppose 0 = 3*y - 5*p + 18, p - g = -2*y + 5*y. What is j(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29400 divided by 35\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 210 = -2*l, -i - 2*i + 5*l + 275 = 0. What is the remainder when i is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.18, 1787, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let o(l) = 16*l - 14. Let k(a) = a**2 + 2. Let t be k(0). Let g = 0 - t. Let r(z) = g*o(z) + 28*y(z). Let d(f) = -f. What is -9*d(m) + 2*r(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 323*q**4\/2 + q**3\/2 - 2*q**2 - 20*q. Is d(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*y + 3*y, 4*y - 83 = -5*z. Let v = -638 + 999. Let j = -241 + v. What is the greatest common divisor of z and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 8:25 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:35 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*b + 19, 0 = 3*b + 58*p - 56*p - 47. Let z(i) = -i**2 + 16*i - 22. Determine z(b).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 12*v**2 - 3*v**5 + 4*v**5 - 470*v**5 - 4179*v**3 + 4179*v**3 + (-3*v**3 + v**3 + 0*v**3)*(-v**2 - 2 + 2) + 4*v**5 + v**5 - 6*v**5.\nAnswer: -467*v**5 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 - 3*a**2 + 4*a**2)*(-4 - a + 4)*(-1 - 1 + 3)*(116 - 9*a - 116) to the form k*a**3 + y*a**4 + g*a + n + v*a**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(45\/2)*70\/20\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1063.5 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 1 (c) 0 (d) -0.62 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*p - 2*j, -j = 6*p - 2*p + 17. Let b be 2 + -2 - (p - -5). Let o be (-2 - 3\/1)*b. Solve -4*s + r - 8 = 0, -16 = 4*s - 4*r + o*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*u**2 - 20*u**2 - 40*u**2 + (u + 0 + 0)*(-2*u + u + 3*u) - u**2 - 7*u**2 - 5*u**2.\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19380 and 16201.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1031*i - 14*i**2 - 2032*i + 1033*i + 4*i**2 - i**2 - i**2 + (0*i + 0*i - i)*(-3*i + 3*i + i) + 3*i**2 - 2*i**2 - 3*i**2.\nAnswer: -15*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1227 - -1334. Suppose 0 = 11*i - 18*i + 1435. What is the remainder when i is divided by w?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2703 divided by 2703.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38350*s + 345 = -38235*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -1)*(-5538)\/1917. Which is the second biggest value? (a) 40 (b) z (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48 (b) 1\/2 (c) -0.6 (d) -2\/45 (e) 3\/4 (f) -2\/7 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 18 = 2*x, -x = 11*y - 431 + 352 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29007047 is divided by 649?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -4, -1.\nAnswer: -5, -4, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.88 - 7.88. Which is the nearest to 0? (a) -2\/13 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -29. What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152981039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114, 238, 380, 552, 766, 1034, 1368, 1780?\n\"Answer: 2*w**3 - 3*w**2 + 119*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + 10\/24. Let q = -13.3 - 2.7. Let v = q + 11. What is the nearest to a in -3\/5, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*m - 3*m. Let v = -322 - -317. Which is the fourth biggest value? (a) m (b) -2 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26736788 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/21075651 and 25\/39809563?\nAnswer: 358286067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10744811?\nAnswer: 7, 11, 47, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from qbqbqjbqjjjjjjqqj?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + -15.4. Let i = -18.07 - t. Let q = 0.47 + i. Which is the nearest to 1? (a) q (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-60)*-25*(4 + -2 + -4). Calculate the greatest common factor of 200 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2539709 or -2539703?\nAnswer: -2539709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 570259173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 43 + 15)*(-7*p + 2 + 0 + 18*p + (-2*p + 5*p - p)*(-2 - 1 + 5) + p - 3*p - p) to o*p + d and give o.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(17050\/(-440)))\/((-1)\/(-205)*2).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/6*-2)\/3)\/((-130)\/60).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -7, -4, 25.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of -3 + (-539403)\/(-6) + 330\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 224544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**(7\/4)*y\/(y*y\/y**(2\/7))*(y\/(((y*y*y**(3\/10))\/y)\/y))\/y*y)**(-22) assuming y is positive.\nAnswer: y**(396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52255 or -52256?\nAnswer: -52256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -1.1, -1\/5, 1, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 2*f**3 - f**3 - 7*f**3 - 5*f**3 - 2*f**3 + (-3 - 2 + 2)*(-3*f**2 + f**2 + 0*f**2)*(-4 - 3 + 2)*(f + f - f).\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277744.\nAnswer: 2, 13, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 3*n**3 + 4*n**3)*(2 + n - 2) + (-2*n**3 - n**3 + 0*n**3)*(0*n + 2*n - 3*n) + n**4 + 0*n**4 + 0*n**4 + n - n + 3*n**4.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1384 take away 5390506?\nAnswer: -5390506.1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/2 + 228*b + 20377\/2 = 0.\nAnswer: -41, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628980 - 3*c**2 - 628980.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148325 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = 0. Let x(b) = 2*b + 8. Let t(r) = 4*r + 16. Let i(v) = -6*t(v) + 13*x(v). Let n be i(-1). Solve -2*o = n - f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116.000009 + 116. What is q rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.09 + -6.89. Put w, -1\/7, -5 in ascending order.\nAnswer: -5, w, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*g**3*u**2*y + 1356*g**3*u*y**2 - 9*g**2*u**2*y**2 - 2*g**2*u**2 + 82*g**2*y + 8*g**2 wrt g.\nAnswer: -396*u**2*y + 8136*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 - 54 = 0. Suppose 44*o - 76 = 25*o. Suppose -2*c + 5*a = -37, 5*a - l = -c + o*a. What is the remainder when 77 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (3*(-2 + sqrt(684)) - sqrt(684)) + (sqrt(684) - (0 + sqrt(684) + sqrt(684))) + 2 + 2 + -2.\nAnswer: -4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/91, 0.8, 2\/9, 3, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/123843 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 525\/4*f**5 - 2145\/4*f**4 - 93\/2*f**3 + 411*f**2 - 186*f + 24 = 0?\nAnswer: -1, 2\/7, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.1 (b) -4\/7 (c) 5\/18 (d) 5 (e) 4\/7 (f) 38\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 5*w - 2. Let x(z) = z**2 - 5*z + 3. Calculate -5*k(s) - 4*x(s).\nAnswer: s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 588?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 408\/(-459). Sort 0.4, 3, -1, j in decreasing order.\nAnswer: 3, 0.4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/(-18879) - (-24354)\/609?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -381, -763, -1145, -1527, -1909, -2291?\n\"Answer: -382*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -23\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbooppah. What is prob of sequence pa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**3*n**2 - 5983*h**3 - 7*h**2*n**2 - 1969*n**2 + 2*n wrt h.\nAnswer: -48*n**2 - 35898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -562 + 621. Suppose x = -4*o + 191. What is the remainder when 64 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 2, b: 11, n: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/(-18)*(-12 + 17)\/(-5)*9 - 3.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10387)\/4 - 3\/(-12). Let v = -2548 - h. Calculate the common denominator of v and 102\/63 + 5\/30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*n**5 - 532*n**5 - 121*n**5 + 71*n**5 + (0*n + 5*n + 0*n)*(4*n - 4*n - n**4) + 3*n**5 + 3*n**5 - 5*n**5.\nAnswer: -541*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 12*x - 37. Let h be l(6). Is 1 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*i = -16, -3*y - 6*i = -9*i - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 26.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Let a(y) = 2*y + 1. Let c be a(s). Let r be 1 - -1 - (1 - 6). Is c < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 w when three letters picked without replacement from {m: 3, w: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 91519.5078ns?\nAnswer: 0.0000000001513219375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32876405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1928779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18 + (-175)\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 5 + sqrt(162) + -2 + -2 + sqrt(162) + 0 + 4.\nAnswer: 14 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j**2 + 6*j - 5 + 2 + 8*j**2 + 5*j**2. Suppose r - 3*r = 0. Suppose v = 5*p - 4*p + 3, r = 5*v + 15. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 3*t**5\/20 + 21*t**4\/2 + 294*t**3 + 4116*t**2 - 74*t. Factor x(r).\nAnswer: 3*(r + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 9*j. Suppose j = 3*d - 2*q - 23, 3*d + q = -0*q + 38. Suppose 4*i - 3*i - 99 = 0. Calculate the highest common factor of i and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1)*g*g**(-6)*g**(-5)*g**(-11))**20 assuming g is positive.\nAnswer: g**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1534\/69? (a) 4 (b) -4 (c) -0.5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44643 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 14*z**3 + 3*z**3 + 0*z**3 + z**3 + 0*z**3 + (0*z + 3*z - 4*z)*(2*z**2 + 2*z**2 - 5*z**2).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 88\/(-20) - 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 273 - 281. What is the second derivative of 128*l**4 - h*l**2 + l**2 - 23*l - 123*l**4 wrt l?\nAnswer: 60*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**3\/6 + p**2 - 16*p. Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 6 + 3 = i, 0 = 5*i - 5*a - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703748.8ug in tonnes?\nAnswer: 0.0000007037488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -26 - 34. Suppose -r*k = -3*k + 3. Let y = 4373\/21 + -208. Is y > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3923*i - 3842. Suppose -f + 123 = 15. Calculate the lowest common multiple of h(1) and f.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 8. What are the prime factors of a - 3\/((-6)\/40)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49355095\/163268784 + 1\/416502. Let i = -1\/98 - o. What is the common denominator of i and -29\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -20 - 2. Let z = 2 - -1. Suppose z*k - 134 = -35. What is the highest common factor of k and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 109*b**2 - 127*b + 4. Let f = 406 - 407. Let r(m) = m**2 - m + 2. Let a(i) = f*k(i) + 2*r(i). What is the second derivative of a(q) wrt q?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/((-130)\/287 - 24\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-10))\/(8\/(-20)). Suppose -x + 12 = i*x. Solve -x*r = -r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7503706 and 238.\nAnswer: 127563002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*j*q**3 + 149*j*q**2*t - 2*j*q*t - 3*j*q + 2*j + 181*q**3*t - 376*q*t + 15105*q + t - 1 wrt q.\nAnswer: 1686*j*q + 298*j*t + 1086*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 6*d - 80 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2\/2 + 31*v + 4. Let a be w(-17). Differentiate 5 - a*g**2 + 8*g - 8*g - 7*g**2 with respect to g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -295, -589, -989, -1501, -2131?\n\"Answer: -q**3 - 44*q**2 - 55*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 5, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/130606 and -145\/167922?\nAnswer: 1175454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 105\/(-6))\/((-1)\/38). Is (k\/(-10) - -5)*26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 3 - 8)*(-6*y**5 + 4*y**5 + y**5).\nAnswer: 17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 3:59 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2530 + 1195?\nAnswer: 36c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and 0.11?\nAnswer: 0.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/33 - (-889)\/(-462)) + 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245550 (base 12) to base 9.\nAnswer: -1088326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3282, -0.3, -2\/21, -1\/5 in descending order.\nAnswer: -2\/21, -1\/5, -0.3, -3282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (30 - (13 - 6) - 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63516942?\nAnswer: 2, 3, 151, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcw when three letters picked without replacement from mscwwwc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.48, -23, 0.21?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*v + 9*v + 5960 + 2276 = -41*v for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-14))\/(((-24)\/(-196))\/(408\/(-357)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a5a0 + 33?\nAnswer: 1a623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 59*o - 244. What is y(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = -79*a. Sort 1, -5, a, -1, -3 in descending order.\nAnswer: 1, a, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3883*q + 1957*q + 1927*q. Let d(m) = 165*m. Determine d(z(s)).\nAnswer: 165*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.9 + 59.9. Let x = c - 83. Let r = x + 21.9. Round r to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 90750*x - 159113232.\nAnswer: 3*(x - 31912)*(x + 1662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 7447*c - 6637217. Calculate m(-743).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2965 and -2964 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 1.1. Let z(c) = c**3 - 4*c**2 - 3*c - 16. Let n be 9 - 7\/(35\/20). Let b be z(n). Sort 2, f, b in increasing order.\nAnswer: b, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)*c**(-14\/9))**0)**(1\/41) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 2. Solve -2*t - 4*q - 2 = -3*q, -o*q = -t - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-526*j - 27*j**3 + 526*j)*(0 - 1 + 4 + (3 - 7 + 2)*(4 + 3 + 3)).\nAnswer: 459*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6 - 4. Let c(v) = -v**3 - 2*v**2 - v + 2. Let x be c(i). Let m be 2*6\/4*-1. Sort 1, x, m in decreasing order.\nAnswer: x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -5*r**2 + 97*r - 1. Suppose -5*w - 1269 = -1274, 0 = -s - 4*w - 24. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-22) - (50\/220)\/((-295)\/(-826)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 183*t - 940. Let r be x(5). Solve r = 3*j + 4*q + 2, -68 = j + 2*q - 64 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c + 2*c)*(-7353*c + 4023*c - 4466*c) to the form n + g*c + z*c**2 and give z.\nAnswer: -7796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11 = -4. Suppose -y*o - 4*z = -157, 2*o - 70 = -z + 3*z. Is (2\/(-2))\/((-3)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48869.94 months to decades.\nAnswer: 407.2495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 5 = 56*t, -2*h + 891 = -5*t. What is the greatest common divisor of 256 and h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -269, -274, -279?\n\"Answer: -5*j - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -505 (c) -4 (d) -33 (e) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 544364156 a multiple of 2279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*i = 29*i - 280 + 94 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 9*l - 15. Let q(a) = a**2 - 4*a + 7. Let j(u) = -4*f(u) - 9*q(u). What is j(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73875 + 3403 + 10523 = -2923*g - 49580 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, -8, 1 in descending order.\nAnswer: 1, 0, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-6)*(-4)\/(72\/(-1674)*(-24)\/(-4)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 56*u + 69. What is the hundreds digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 43*u - 176. Calculate the lowest common multiple of y(12) and 2.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694622 is divided by 4152?\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 6*d = 2895. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 4*t + 6, -4*m = -t - 6. Suppose 2*h - 4 = -m. Solve 2*g - h = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 26. Suppose -2 = c*p - 0. Let i be (10\/5 - 9)\/p. Sort i, 0, 3.\nAnswer: 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4156 = -65*v - 2856 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = 2*v - 325. Suppose -13 - v = -w + 5*h, 5 = -h. Which is the second smallest value? (a) w (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 733489 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 479*x**2 + 201669*x + 4188. Determine h(-421).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 72?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 16. What is the units digit of d\/(-10)*(-150)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744987?\nAnswer: 3, 167, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/((-232)\/(-48)) + (-94)\/16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 427 divided by -872965\nAnswer: -427\/872965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/6 + 1031*g**4\/2 - 6181*g**3\/6 - 1031*g**2\/2 + 3091*g\/3 = 0. What is g?\nAnswer: -1, 0, 1, 2, 3091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/((-6)\/(-8)). Suppose -f*i + 4 = 10. Find the common denominator of 76*(-2)\/(64\/i) and -9\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/32*(-24)\/(-30))\/(4\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 7*n - 19. Solve 4*t = -n - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1224, -1219, -1214, -1209, -1204?\n\"Answer: 5*i - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123294 is divided by 212328.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - 2*n**2 + n. Let y be g(1). Let v(o) = -4*o + 2*o - y*o**2 + 2*o**2 - 4*o + 4. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 2*p + 0*p + (0*p + 4*p - 3*p)*(0 + 2 + 0) - 1 + 2*p + 1 + 0*p - 4*p + 2*p + (-2 - 2 - 1)*(-19 + 26*p + 19 + (-1 - 1 + 0)*(-2*p + 0*p + 3*p)).\nAnswer: -119*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12 - 11 - g**3 + 2*g**3. Let o(l) = -l**2 + l + 13. Let t = 64 + -67. Let v be o(t). Let h(i) = 4*i**3 + 2*i**2 + 2*i + 2. Calculate v*h(r) - 2*u(r).\nAnswer: 2*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1729914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 - 455528*u - 455532 = 0.\nAnswer: -1, 113883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 807*x - 4024*x.\nAnswer: -3217*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2) + 13 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - o - 7*o + 4*o - 10*o - 9*o - o - 3*o + 3*o + (o + 0*o + o)*(-1 + 5 - 2) - 3*o + 2*o - o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/60 and -32\/1688079.\nAnswer: 33761580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -2614?\nAnswer: -2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((39 - 12) + -11 - 56) + (1 - 0).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5109813kg in tonnes?\nAnswer: 0.0005109813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6 and 23\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*f + 2*f + 5, -11 = 2*f + u. What are the prime factors of (f\/(-10))\/(2\/132)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309017866 divided by 15437.\nAnswer: 20018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kooff. What is prob of sequence offo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.04 + -0.04. Let t = -27 + 28. Let h be (-8)\/70 + (4\/(-14))\/t. What is the nearest to h in -3, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*((2*c + 0*c - c)*(1 - 2 + 3) + (7 + 0 - 1)*(-2*c + 5 - 5)) as v*c + w and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14941?\nAnswer: 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4964 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/10)\/o*o*o**(-2\/5))**(-28))**(-48) assuming o is positive.\nAnswer: o**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3907101s?\nAnswer: 390710100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6702)\/23800 + 51\/1275 and -2\/3?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 8*k**2 - 9*k + 11. Let d be l(-9). What is the tens digit of 8\/4 + 2 + d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 9*q**2 + 6*q**2 + 1 + q)*(4 - 4 + 2*q) as z*q**2 + j*q + g*q**3 + s and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 14295107\nAnswer: -8\/14295107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) -3 (c) -12 (d) 3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.768 rounded to two decimal places?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376401273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 883679009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - (-106198)\/70. Let s = r - 1511. Let n = 810\/23 - 8072\/207. Calculate the common denominator of s and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6814, -1, -2\/23 in descending order.\nAnswer: -2\/23, -1, -6814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)\/o*o)\/(o\/((o**(13\/5)*o)\/o)) assuming o is positive.\nAnswer: o**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 8*d - 360. Let u = 36 - d. Let l be (12 + u)*-45000*15*-1. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 62*x**2 + x - 7. Let z be w(6). Suppose 641 = -9*n - 9385. Let k = n + z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -v - 4, -5*v - 4*s - 1 = -5. Let l be (-2)\/(-6)*v + 0. Suppose l = -2*y + 4*c + 6, 8*c - 25 = 3*c. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397789275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26771809 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5712255340 to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-103)\/((-3399)\/(-198)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 10:14 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:43 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Suppose -1 = -p - r. Suppose -4*v + 2*v + 10 = 0. Put p, v, 3 in descending order.\nAnswer: v, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let q = 3 + v. Is q at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20 - 26 - (1 - -92). Let j(s) = -3*s**2 - 1. Let y be j(-2). Find the common denominator of 2\/y + (-5)\/(260\/v) and -54\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - 5*q**3 + 0*q**3 - 11*q**3 + 16. Suppose w = -4*w - 50. Let p(l) = -99*l**3 + 47*l**3 + 5 - l**2 + 47*l**3. What is w*p(m) + 3*o(m)?\nAnswer: 2*m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/22 and 25\/44316204.\nAnswer: 487478244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 48, 78, 108, 138?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3)*(-2)\/6. Let a be 4 + c + 0 + -1. Let x = 13\/30 + 1\/15. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 449421413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/2)\/(-18 - 468\/(-24)). What is the closest to 392 in -0.1, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545826.\nAnswer: 2, 772913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 31. Let t be o(0). Let l = t + 18. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 1.1. Let j = -1766\/77 - -257\/11. Which is the nearest to t? (a) -0.2 (b) 36 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from pkwwvjwkjviippw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197 is divided by 299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.5 (b) 0.9 (c) -0.4 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 191 + -189. Find the third derivative of 184*j**4 + j**3 - 176*j**4 - 25*j**2 - g*j**3 wrt j.\nAnswer: 192*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 640*c - 51200.\nAnswer: -2*(c + 160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 12.7.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -6\/25194361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = 16. Let w be 279\/12*1 + z\/24. Differentiate -w*y**2 - 33*y**2 - 32 + 37*y**2 with respect to y.\nAnswer: -38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 452 = -4*o, -4*o + 6*o + 234 = 2*p. What is the greatest common divisor of p and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66700 or -133397\/2?\nAnswer: -133397\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -7)*2\/2. Suppose -2*u = l*u + 90. What is the units digit of 8\/(-36) + (-22)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*q - 18. Let i(s) = 3*s - 3. Let a be i(q). Find the third derivative of 6*w**2 - 1 + 5 - 13*w**a - 4 wrt w.\nAnswer: -1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - m + 1. Let o(q) = q**2 - 5*q + 4. Let g be 12\/(-13)*(91\/(-14))\/1. Calculate g*u(b) - o(b).\nAnswer: -7*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:04 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39109850?\nAnswer: 2, 5, 13, 60169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 45 - (-7 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 989, -424, -1837, -3250, -4663, -6076?\n\"Answer: -1413*q + 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -178*u - 531. Let p be h(-3). Solve 4*s + 15 = p*g, 25 = -0*g + 5*g - 2*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -2 - 2 - 2. Let i be (-4)\/(-3)*p\/(-8). Suppose -2*f = 5*l - 17, -2 = -5*f + 2*l - l. What is the closest to -2\/3 in i, f, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15873881 and 0.11.\nAnswer: -1746126.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Let i(a) = -2*a**2 + 3*a**2 - k*a + 2*a. Let h(c) = -3*c**2 + 5*c. Let s(v) = -2*v**2 + 3*v. Let l(p) = -6*h(p) + 10*s(p). Calculate i(l(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701848, 1403696, 2105544, 2807392?\nAnswer: 3509240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1766916 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52556631 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3))**(-2\/31)*(x**2*x)**(-10) assuming x is positive.\nAnswer: x**(-924\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3660653 and -81?\nAnswer: -296512893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45863526.\nAnswer: 2, 3, 1901, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003876 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:22 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 12. Let i be r(-5). Solve -3*t = -5*a - i, -t - t - 3*a - 7 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*g**4 - 9*g**2 + 1535.\nAnswer: 124*g**3 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 2, n: 5, q: 7, f: 3}. What is prob of sequence ftf?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 + 8*f + 10. Let a be j(-5). Let p(z) = 9*z**3 + 5*z. Let u(w) = 26*w**3 + 14*w. What is a*u(g) + 14*p(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705756898.\nAnswer: 2, 7, 11, 71, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 10*x**2 + 7*x + 4. Let a be p(4). Find the second derivative of -a*l - l**2 + 189*l + 63*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2810 (base 15) to base 14\nAnswer: -319b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 1\/2*q**4 + 5\/2*q - 1\/2*q**3 - 3\/2*q**2.\nAnswer: (q - 1)**3*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**2\/2 + 17*k - 13. Let i be g(-12). Suppose 2*w + 3*w - 8 = -2*h, i*w = 4*h + 14. Solve -15 = w*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*n**2 - 19 + 7 - 473*n**2 to the form v + w*n**2 + r*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1*-1*7*14\/(-490)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(0 - 1 + 4)*(0*w - 8*w + 7*w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 - 9*d + 31. What is i(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:49 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = j - 4, -3*n + 6 = 0. Let z(l) = 2*l**2 - l + 2. Let k be z(1). Suppose 12 = p + j*p, -k*m + p = -3. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -263659, -528085, -792511?\n\"Answer: -264426*u + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 14*d. Suppose -4*o + 56 = -16*t + 19*t, d = -o + 2. What is the least common multiple of t and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3114 (base 12) to base 11\nAnswer: -4019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.18838828 rounded to three dps?\nAnswer: 9.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7924496?\nAnswer: 2, 523, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16050 rounded to the nearest one hundred?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {q: 2, s: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1*(1 + -3). Let p be 1 - k*(1 - 2). What is the units digit of (p - 0) + 21 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*j + 511*j + 7938 = 0 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - -1558120?\nAnswer: 1558094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 2050928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30987 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 4:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12.8. Let m(w) = w**2 - 3. Let i be m(-2). Which is the nearest to i? (a) u (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*u + 945 - 43*u - 945 - 2*u.\nAnswer: -220*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123751.4 rounded to the nearest one hundred?\nAnswer: 123800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1551*g + 4*g**2 + 1551*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17f0 (base 16) to base 6\nAnswer: -44212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igg. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 16*c - 2. Suppose j - 13 + 0 = 0. Is b(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.6 + 14.481. Let h = -0.719 - o. Let b = 5.4 + -26.4. What is the second biggest value in b, h, 4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 9 = 1, 33*o + 17*o + 9*n - 6*n = -40*o + 3246 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -20*g**3\/3 - 26. Let a(k) = -k**2. What is h(a(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/4)*j**5\/j)**(2\/15))**5)**1 assuming j is positive.\nAnswer: j**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-22))\/((-465)\/325*-5) and -87\/4.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 - 8218*v**3 + 4618*v**2 + 5190*v**4 - 414*v + 716*v**5 - 266*v**5 - 722*v = 0.\nAnswer: -13, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3188 - -3202. Calculate the highest common divisor of p and 2226.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 - 7*w**3 + 50*w**2 + 9869*w?\nAnswer: -24*w**2 - 42*w + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 4. Let i be y(0). What is the third biggest value in -2, -8, i?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + (-55014)\/(-4) - ((-234)\/12 + 17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:27 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose d = j + 3*j + 4*f - 24, -5*j - 2*f = -21. Suppose 0 = j*g + 2*g + 4*x - 178, 0 = -5*g + x + 168. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 50\/(-18)) + 42 + -46 - (-371)\/9\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3519000 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7910538 is divided by 1617.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16590879, 33181727, 49772575, 66363423, 82954271?\nAnswer: 99545119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*p + 91, -5*p = -5*o - 54 + 179. Suppose -o = -4*t + 4*x + 145, -2*t - x + 86 = 0. Let y = -31 + t. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 + 551*j**2 - 8412*j - 602. Give x(-290).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(288\/16)\/(-18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 429.7 - 430. Sort 3, 5, p, 1\/2.\nAnswer: p, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 8. Let o be p(0). Let w be ((-333)\/(-45) + o)\/((-2)\/20). Suppose 2*h = -w, -7*r - 5*h = -3*r - 17. What is the remainder when 47 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/184 and 69\/2.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 24*n - 16. Calculate r(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:38 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6921 + 11985 = 9*y - 3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hizzcciczehz. Give prob of picking 1 h, 1 z, and 2 c.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 4. Let y be a(-1). Suppose 2*j = 2*v + 106, 4*j + y*v - 116 = 103. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 5178.31829388.\nAnswer: 5179.31829388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -302, -477, -686, -941?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.738 rounded to one decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 800\/3*n**3 + 0*n - 11 - 140\/3*n**4 + 34\/15*n**6 + 10*n**2 - 56\/15*n**5 - 22\/105*n**7 + 1\/168*n**8. Let p(f) = 0. What is f?\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -10. Suppose -11*m + b*m = -185. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 32. Let j(n) = 4*n + 127. Give -2*j(b) + 9*q(b).\nAnswer: b + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 - (1 - -7 - 11 - (-28 - -21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c + 264467. Is a(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6218 + 6210. Let g = 231\/410 - -3\/82. Let m = -4.9 + 0.9. Which is the nearest to -1\/4? (a) t (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -930 = -931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + p - 1. Let x(m) = -120*m**3 - 6*m + 6. Calculate 6*b(f) + x(f).\nAnswer: -114*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3838.\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 16*s**2 + 37*s - 123 + 122 - 8*s**2.\nAnswer: -3*s**2 + 37*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**2 + s**2 + 7*s**2 - 2*s + (-1 + 1 + 2*s)*(39 + 13*s - 39).\nAnswer: 27*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from frurnif.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 41850?\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 + 13*f + 19. Let t be k(9). Suppose 2*p + u - 184 = 0, 17*u = 5*p + 19*u - t. Calculate the greatest common factor of p and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47546490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 + 202*h + 1221\/2 = 0.\nAnswer: -3, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 3. Let h be d(-2). Let p be h\/(-12)*4 + -3. Solve p = -0*k + 3*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -551\/4. Let t(m) be the third derivative of -m**4\/24 - 5*m**3\/6 - m**2. Let c be t(-9). Is w less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9*39\/(-2). Let s = -9 + b. Let q(o) = o**2 - o + 4. What are the prime factors of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12130121302 + 11?\nAnswer: -12130121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*m - 2*m. Let s be (m\/4)\/((-5)\/(-4)). Let a = -0.85 - -0.75. What is the closest to a in s, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 2093576*b\/3 - 1095765116944\/3.\nAnswer: -(b - 1046788)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28004 smaller than -56005\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 * 27360.8\nAnswer: -2079.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2412039707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -640 - 1?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.27, -11, 2, 1, 0, 0.1, -3.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*z - 7, -m - 6*z = -2*z - 14. Suppose 2*s + 111714 = m*f - 80284, 3*f - 287999 = s. Suppose -5*g + 6*g = -f. Round g to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 is divided by 1945?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -73.\nAnswer: -6\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1157 + 373. What is the common denominator of (-3955)\/l - (-3)\/21 and 121\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1303348 and 15992.\nAnswer: 2606696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 669 = -484*o + 6922 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let o(w) be the second derivative of -w**4\/12 - 1097*w**2 - 68*w. Give v(o(y)).\nAnswer: -y**2 - 2194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2040153 <= -2040154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 7*h**2 - 5*h - 7. Let d = -6 - -4. Let t be d - (6 - 0 - 1). Calculate the least common multiple of m(t) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7510 and 5240?\nAnswer: 3935240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -81582762.\nAnswer: 1\/40791381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 12. Let v be j(8). Calculate the highest common divisor of 220 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8840 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*l = -10, 2*l = -2*c + 21 - 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 1.06. Let k = -0.14 + i. Which is the closest to k? (a) 3 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103620 and 2227830.\nAnswer: 4455660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*v + 205*v = 8382 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i = 317 - 1007 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 393 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {e: 5, i: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 924 and 20.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642158*j**2 + 1642205*j**2 - 3284354*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20b0737 - 3?\nAnswer: 20b0734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*y - 153*y**2 + 10*y + 31*y as d*y + c*y**2 + p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3800*a + 2591?\nAnswer: -3800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + (22 - (36 + -7)) + 2 + 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 10*w**2 - 2*w. Give q(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbsbebbbsiifbi. Give prob of sequence bs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 v when four letters picked without replacement from {l: 7, a: 2, v: 4, c: 1}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/11))**(-22)*(r*(r\/(r*r**(-1\/4)))\/r)**(-5\/4))**(-41) assuming r is positive.\nAnswer: r**(2829\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(sqrt(418)*1)\/sqrt(11))\/((5*-2*sqrt(162) + sqrt(162))*4).\nAnswer: sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p + 0 + 4*p**2 + 0*p**3 - 5\/12*p**4. Let u(r) = r. Give x(u(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9886 is divided by 1459.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -17168, -2\/5 in decreasing order.\nAnswer: 63, -2\/5, -17168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/70400 and -48\/35.\nAnswer: 492800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**6\/360 - l**5\/15 + l**4\/3 + 2*l**3 + 9*l. Let m(q) be the second derivative of n(q). What is m(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 361 - 5?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -47\/5 (b) -3 (c) 1 (d) 0.1 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((3 - 1)*2)\/(-2). Let b = 3 - 0. List the prime factors of (-14)\/j - (b + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**6\/240 - v**5\/60 - v**4\/48 + v**3\/6 + 3*v**2\/2 - 6*v. Let l(b) be the first derivative of y(b). Factor l(d).\nAnswer: (d - 2)*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35265 >= -35288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r + 3*h, 0 = r - 4*r + 3*h. List the prime factors of -8*(142\/r)\/1.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 670*b**2 + 662*b**2 - 1302*b**2. Let z(w) = -9*w - 11. Let l(m) = 2*m + 2. Let d(i) = 11*l(i) + 2*z(i). Calculate d(s(h)).\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 211?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*k**4\/5 + 21876*k**3\/5 - 23488*k**2 + 156928*k\/5 = 0. Calculate k.\nAnswer: -613, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + r - 1. Let p(h) = 14*h**2 + 2*h + 27. Let w(c) = p(c) - 2*t(c). Differentiate w(b) wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q - 3*q)*(0*q**2 - q**2 - q**2) + 4*q**3 + 5*q**3 - 6*q**3 to the form k*q**2 + l*q**3 + i + x*q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -96*b**2 + 5*b - 9. Let t be g(-12). Let n = t - -20593. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2738*g + 756*g - 3233*g + 658*g - 5734*g to the form t + y*g and give y.\nAnswer: -10291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/12)\/((-41)\/123)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3655 or 3583?\nAnswer: 3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:54 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390832*v*y**2 - 20463*v*y - 8*v + 6*y wrt y.\nAnswer: 781664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324 + -327. What is the closest to a in -2, 1, 0.13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3. Let r(b) = -7. Let k(f) = 2*r(f) + 5*s(f). Let c(n) = -3 - 3*n - 8*n + 10*n - 2. Let j(l) = -c(l) - 5*k(l). Give j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c + -22c?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 - ((-1 + -7 - (-25 - -61)) + -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d + t + 17, -4*t = -2*d + 14. Let j = d - -10. Calculate the greatest common divisor of 49 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x - 4*x + 9*x + x. Let n(u) = -u**2 - u. Let b(g) = -g**2 - 2*g. Let k(o) = -b(o) + 2*n(o). Give s(k(i)).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/85 and -13\/51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d + 32. Let q = -123 - -133. Let c be y(q). Solve 0 = c*s - 5 + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 175?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1301531, 1301166, 1300801, 1300436, 1300071, 1299706?\nAnswer: 1299341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8674 - -14459. List the prime factors of p.\nAnswer: 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*(sqrt(275) + 0)**2 + sqrt(275) - sqrt(275)) + -1)*-4.\nAnswer: -33024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67033 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1371529*v**2. Let n(o) = 17*o. What is c(n(p))?\nAnswer: -396371881*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j + 67 = -161 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29889 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6\/11, 5, 114 in ascending order.\nAnswer: -5, -6\/11, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1425 * 8.47\nAnswer: -12069.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/7)\/((-16)\/70) - 2)\/((-781)\/(-3124))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 9:08 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16\/(f**(12\/7)*f) assuming f is positive.\nAnswer: f**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let u(h) = -1007*h. What is u(m(b))?\nAnswer: -1007*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15 = -3*z, 147*p - 151*p - 22 = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353872 divided by -456?\nAnswer: -5162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2716*i - 463 - 6567*i - 5197*i with respect to i.\nAnswer: -14480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b739 (base 15) to base 16.\nAnswer: 539e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/30*-1*(-20)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + s = -43, 4*v - 29 - 2 = -3*s. Suppose v*n = 11*n. Let b = 4\/13 - 55\/221. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**2 + 5*l - 5. Let n be u(2). Let x = 387\/11 + n. Let w = 369.1 - 369. Which is the second smallest value? (a) 8 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**2 + 24*f - 23. What is z(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -4*c + 6*c + 8 = i. Is c\/14 + (-428)\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h. Suppose 8*b - b - 462 = 0. Let o(y) = -3 + b*y + 3 - 71*y. Give f(o(m)).\nAnswer: 75*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61310.\nAnswer: 2, 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-1*sqrt(304)*-6 + (sqrt(304) - (sqrt(304) + sqrt(304)*-2 + 4 + sqrt(304))) + -5)**2)*-4.\nAnswer: -2016*sqrt(19) + 59924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**1)\/l*(l\/l**(-6))\/l)\/((l**(4\/5)\/l*l)\/(l\/((l**(-2\/15)\/l*l)\/l))))\/((l\/l**(-4\/9))\/(l**(1\/13)*l*l*l*l)*(l\/(l**(-1)\/l))**50) assuming l is positive.\nAnswer: l**(-16501\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*c = -3, -7*y + 3*y + 5*c + 7 = 0. Suppose -y*n + 24*n = 294. What is the least common multiple of 4 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25307.8, -3, 2\/5, 3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**9 assuming h is positive.\nAnswer: h**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 53761792?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8))\/(20\/(-28))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 0.15, -1\/11, -3\/17?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o = 0. Suppose -w + 0*w + 8 = -4*q, -4*q = 3*w - 8. Suppose w = 4*x + 5*z, -z - 3*z = 0. Sort o, 0.2, x.\nAnswer: o, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*(sqrt(114) - sqrt(114)*-2) - sqrt(114)) + -4*1*sqrt(114) + sqrt(114))\/(((sqrt(66) - (sqrt(66) - sqrt(66)*3)) + sqrt(66) - sqrt(66))\/sqrt(11)*6).\nAnswer: 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.008304406 + -1.0083. Round u to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 3)\/(3 + -2). Let z be 1 + u - 3\/1. Let y = -6 - -29\/5. Which is the smallest value? (a) y (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - -0.19. Let s = g - -0.63. Let c be ((-60)\/(-7))\/(-3) - -3. What is the second smallest value in s, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 10*c**2 - 17*c + 11. Let k be x(8). Is (-5)\/k - 163856\/(-84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.082\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 3*j + 2*j - j**3 + (-119*j - 750 + 750)*(135*j + 19*j**2 - 135*j) to p*j**2 + c*j**3 + a + h*j and give c.\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 - 36*i. Let z be 2\/3*6\/(-4). Let v(d) = -3*d**2 - 2*d. Give z*v(r) - 4*b(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 18, 41, 82, 147?\n\"Answer: a**3 + 4*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-12)))\/(b*b**0*b))\/(b**5)**(-12\/7) assuming b is positive.\nAnswer: b**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 242.48 and 27.\nAnswer: 269.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1776 - -3510. Let y = s - -1699. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, 5, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -19, 1111, -3.\nAnswer: -42, -19, -3, 1111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)*u*u*u**(-1\/3)\/u*u**24\/(u*u**(2\/5)\/u*u) assuming u is positive.\nAnswer: u**(359\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-514)\/10 - -1)*1545\/(-6). What is the tens digit of k\/70 + (-3)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3649834165 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22333 (base 4) in base 6?\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39886.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j + 2. Let s(o) = 25*o + 4. Let k = -620 - -626. What is k*s(g) - 11*l(g)?\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2222?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012496121 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let n(d) = 5*d + 12. Let b(q) = -4*j(q) + n(q). Let i be b(-10). Suppose -i*p = 3*k - 51, 4*p = 2*k - p - 53. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 9815806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1867\/3323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-6))\/(3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 25*l**2 + 28*l - 48. Let n(f) = -9*f**3 - 74*f**2 - 83*f + 144. Let b(w) = -4*n(w) - 11*z(w). Find x such that b(x) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/6328 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 5, 2, -3, -10, -19?\n\"Answer: -h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 62.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 37*w + 4. Let l be n(18). Suppose 5*b + 5*d = 50, 5*d - 18 = 2*b - 45. Calculate the highest common factor of l and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5 - 7. Let s be (2\/o)\/(1\/4). Let v = -26 + 161\/6. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 + 9141. Is o a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - 8\/(0 + 4). Find the third derivative of -6*p**2 - 5*p**c + p**5 + 5*p**5 + 10*p**5 wrt p.\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3*a - 15 - 9*a - 6*a**2 + 0*a + 0*a. Let u(v) = v**2 + v + 1. Calculate 6*u(n) + w(n).\nAnswer: -n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -1, -5, 2 in decreasing order.\nAnswer: 38, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 9. Let w(m) = m**3 - 8*m**2 + 3*m + 10. What is the remainder when w(g) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/21)\/(-1)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98)*2 + -4) + (sqrt(98) + -1 + -1)*-3)**2.\nAnswer: -1372*sqrt(2) + 4998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 119, 0, 478 in descending order.\nAnswer: 478, 119, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4061 = 3*n - 4043 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - 3886902387\nAnswer: -3886902386.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x + 1. What is u(-5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58422 is divided by 649?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 205, 304, 403?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.9273 - 0.0727. Which is the second biggest value? (a) j (b) 2\/7 (c) 1\/16 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q + 5*h, -5*q = -4*h - 0*h - 8. Let j(u) = 2*u - 2. Let c be j(q). Calculate the highest common factor of c and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - 2*f**2 + f**3 + f**2 - 4 - 2*f**4 to the form n*f**2 + o*f + x*f**3 + k + z*f**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 42 = 3*c, 6514*m - 26 = 6510*m - 2*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*1\/3 + (-2)\/2. Suppose -2*v - 6 = -3*n, -4*n + 15 = -5*v + n. Which is the third smallest value? (a) m (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17872, -35774, -53676, -71578?\n\"Answer: -17902*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-22 + -4 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, 1024, 2115, 3206?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 4070 = 46*h. Suppose 2*d - 27 = t, -d - 4 - 10 = 5*t. Calculate the highest common factor of d and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -601 - -600.9. Let x = -1.927 + -0.073. Sort -14, x, 0.1, d.\nAnswer: -14, x, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403358*i**5 - 2*i**3 - 43*i**2 - 7038 wrt i.\nAnswer: -24201480*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 119, 122, 125?\n\"Answer: 3*z + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**3 - 55*t**2 + 14*t + 230. Let x(h) = 147*h**3 + 879*h**2 - 225*h - 3681. Let m(v) = -33*u(v) - 2*x(v). Factor m(z).\nAnswer: 3*(z - 2)*(z + 2)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62693801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**4 - 3406*h**3 + 12424*h**2 - 9016*h - 4512 = 0 for h.\nAnswer: -1\/3, 2, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/996 and -61\/577018.\nAnswer: 287354964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4659825400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose q*a - 120 = -0*a. Suppose 12 = 5*h - 4*h. What is the highest common divisor of a and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223650 and 17802540?\nAnswer: 89012700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + u = 5, -3*u - 14 = 5*c - 4*u. Calculate the remainder when (-128)\/c + 10\/30 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001633853216 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*d, -86 = 3*z + d - 81. Put 72\/19, z, -5, 5 in descending order.\nAnswer: 5, 72\/19, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 + 180. Let x(f) = 49*f**3 - f**2 - 3*f + 3. What is the least common multiple of 60 and x(j)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-41) assuming x is positive.\nAnswer: x**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/6)\/(2\/4). Let c = n + -8. Solve 0*f + f = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(612) + 0) - (-3 + 0 + sqrt(612)))**2.\nAnswer: 36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 1 (b) 7 (c) -2\/37 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 111706458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-20)\/12)*(-728)\/(-12).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*u - 8, 6*u + 5*s + 28 = 4*u. Let o(f) = -4*f + 11. Let h(a) = -2*a + 5. Calculate u*o(n) + 9*h(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793445?\nAnswer: 5, 31, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:16 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*60\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 - 5358*b**4 + 3638878*b**3 - 67212842*b**2 - 3638880*b + 67218200 = 0. What is b?\nAnswer: -1, 1, 19, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 + -224. Let k = m - -454. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -989.1 plus -70052?\nAnswer: -71041.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5418*k + 12562*k + 2656*k + 1212*k.\nAnswer: 21848*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let o(m) be the third derivative of -m**4\/8 - 12*m**2. Let v(u) = -5*o(u) - 9*q(u). Let r(w) = 4*w**2. Calculate v(r(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295.44 + 3.44. Let b = 307.75 + v. Round b to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -44*v**2 + 44*v + 426. Give m(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.76, -3, 1\/3, -216\/65, -0.2, 4?\nAnswer: -216\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(88) - 1*sqrt(88)*-1))\/(sqrt(8) + sqrt(32)*-4 - sqrt(128)*3).\nAnswer: 30*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15464354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -12 - 4. Suppose 70 = 3*z + 4*x, -x + 2*x + 2 = 0. Let t = q + z. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10461 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 751. Let g = 3780 + y. Let a = g + -2838. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693288997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12772635 + -2?\nAnswer: 12772633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -15, 0 = -5*b + 2*b - h + 6903. Let j = -13769\/6 + b. Find the common denominator of j and (2 - -1) + (-909)\/207.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43929 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 23*d + 252. Determine k(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/7 (c) 4\/85 (d) 0.06 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, 0, 2, -3, 17, -4, 8 in ascending order.\nAnswer: -161, -4, -3, 0, 2, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.209078 nanograms?\nAnswer: 0.000000000004209078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 12*u**2 - 26*u - 25. Suppose 5*q - 56 = -4*q + 5*q. What is j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -395 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6944*5.\nAnswer: 3.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19)*-1 + sqrt(19) + sqrt(76) + -4 + -1 - ((3*(2*sqrt(114) + sqrt(114)))\/(sqrt(54)*4))**2.\nAnswer: -203\/16 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -525, 0.3521, -4\/13 in decreasing order.\nAnswer: 0.3521, -4\/13, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from zezeluozznzoeznez?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(693)\/(sqrt(11) + sqrt(275)) + sqrt(7623)*2.\nAnswer: 133*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -1*1*sqrt(77) - 2*sqrt(77)*3)\/((sqrt(110)*-2 - sqrt(110))\/sqrt(10) - (sqrt(11) + sqrt(11) + sqrt(11) + (sqrt(132)*2)\/sqrt(12))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527 (base 12) in base 5?\nAnswer: -34404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4955*0.038.\nAnswer: -188.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/16)\/((-2)\/(-4)). Let p(y) be the first derivative of 0*y**2 - 2\/3*y**h + 0*y**4 + 3 + 0*y - 4\/5*y**5. Find the third derivative of p(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 149 = -5*y, -y = 5*c - 315. Let a(k) = 42*k**3 + k**2 + k - 1. Let l be a(1). Let p = c - l. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-8)\/120 - (-13)\/(-3). Let c(z) = 3*z**2 + 12*z - 1. Let w be c(r). Let u(j) = -219*j - 3. What are the prime factors of u(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -5 (b) -4 (c) -346 (d) 5\/6 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622151 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 5, 0.3, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -3.557?\nAnswer: -3.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48\/60 + (-105)\/(-25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 208697653*w**4 + 7*w**2 - 213437*w - 38 wrt w?\nAnswer: 5008743672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 694262718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14110 and 28900.\nAnswer: 2398700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2753650 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 - 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*r + 3*a + 12, -5*a = 5*r - 45. Let p = 7 - r. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)\/s*s**16*(s\/(s*s\/(s**(1\/13)\/s)))\/(s**18\/s))**45 assuming s is positive.\nAnswer: s**(-13410\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*y - 664. Suppose 2*p = 171 + y. What is the greatest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*v + 352 = 0, -4*v - 1149 = 4*y + 295. Let j(d) = -154*d**2 + 3*d - 1. Let r be j(2). Let c = y - r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 3. Let u(g) = 9 - 7*g + 4 + 2*g. What is -4*u(t) + 18*x(t)?\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -10) + 46\/(-11). Let z = 1709346\/13 - 131834. Let u = 346 + z. Sort u, n, -0.3 in decreasing order.\nAnswer: u, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 296 in 0.4, -21, -0.11, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -157*r**2 - 203*r - 8. Let y(t) = -39*t**2 - 51*t - 2. Let k(v) = -2*g(v) + 9*y(v). What is the second derivative of k(o) wrt o?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235d (base 15) in base 12?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*x - 23*x + 18*x + 13 - 17 - 165*x + 158*x + (0*x - 2*x + x)*(4 + 2 - 4) as r + m*x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of -1438*1*(-16)\/(9 - -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1628 divided by 4\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -14 in increasing order.\nAnswer: -14, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-22)\/(-12) - 2. Let a = -55\/12 - o. Let g = -13\/12 - a. Is g greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.14 - -6.14. Let j = 3 - u. Let z = 37.9 - 38. Which is the biggest value? (a) z (b) j (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112333 (base 4) to base 10.\nAnswer: 5567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2*m**2 - 34. Let r(a) = -13*a. What is z(r(s))?\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let n(o) = 2*o**2 - 3*o + 3. Let v be n(2). Suppose 0 = -6*p + p - v. Let y(f) = f**3 + f**2 + f. Let x(q) = 2*q. Give p*x(m) + s*y(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l - 3*h + 19 = 148*l, -18*h + 79 = -l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 207, 206, 205, 204, 203?\n\"Answer: -d + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -963, 0 in ascending order.\nAnswer: -963, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:31 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.2, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0068 - -12\nAnswer: 11.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-220) - 4\/(-924)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - 7 - 5) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1056 and 0.014693.\nAnswer: -15.515808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 1. Let n be v(1). Let z(f) = 8*f**3 - f**2 + f + 1. Let h be (-1)\/(-6) - (-5)\/6. Let b be z(h). Solve -3*s + b + 0 = n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - 16\/64. Let g(u) = 2 + 4*u**2 + 10*u**3 + x*u**3 - 11*u**3. Calculate g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:15 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 726.6 + -723.6. Is f greater than or equal to 0.1727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80127948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + (-24 - -36) - (1 + 31) - 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006213?\nAnswer: 127, 39419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r**3 - 2*r**4 + (-1 + 1 + 2)*(2*r**4 - 4*r**4 + 4*r**4) - 193*r**3 + 199*r**4 + 193*r**3.\nAnswer: 201*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106484 greater than 106266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39606 is divided by 82?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -6 - 2 - -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -19*u**8\/336 + 3*u**4\/4 + 4*u**2. What is the second derivative of p(v) wrt v?\nAnswer: -380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.064 - 13.936. Let y = -7 - m. Is y at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/19? (a) -0.4 (b) 0.1 (c) 1\/5 (d) 1\/6 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2 + 14330*o - 14332 = 0?\nAnswer: -7166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57994657 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let u(g) = 17*g**2 - 37*g + 32. Let y(x) = -4*x**2 + 9*x - 8. Let d(j) = 2*u(j) + 9*y(j). Let b be d(t). Which is bigger: -1\/3 or b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. What is the nearest to 2\/11 in z, 3\/7, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 649 (b) 0.1 (c) 4 (d) 5\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:56 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2410)\/(-80) - 53 - -23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.084, -1462 in decreasing order.\nAnswer: 0.4, 0.084, -1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 1434 = 28*p. Suppose r + 460 = p. Suppose -r = -11*j + 2964. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -126, 0.1, -3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**3 - 2*m**3 + 4*m**3)*(2 - 2 - 1) - 6*m**3 - 2*m**3 + 2*m**3 as b*m**3 + t + g*m**2 + z*m and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 374 - 379. Let w = 709\/7 + -101. Sort g, w, 0.4, 1\/3 in decreasing order.\nAnswer: 0.4, 1\/3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-680)\/(-561))*16\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 39715 = 41*d. What are the prime factors of d?\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 39, 74, 125, 198, 299?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -18 + 6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56849 to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r + 2\/3*r**3 - 1\/12*r**4 + 13*r**2 + 0. Let g be v(3). Put g, -3, 4, 5 in descending order.\nAnswer: 5, 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247130.198 + -247365. Let m = -235 - a. What is m rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*x**2 - 45*x**2 - 112*x**2 - 331*x**2.\nAnswer: -655*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y**7 + 31*y**2 + 1\/6*y**4 + 0*y**6 + 0*y**5 + 0 + 0*y - 1\/14*y**8 + 0*y**3. What is the second derivative of c(z) wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let t(y) = 3*y - y**o - 3*y. Let r(n) = 1 - 1 + 0 + 4*n. Give t(r(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506.9 - -507. Which is the third smallest value? (a) -3 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*g - 20963 = 3453 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1347 (b) 3 (c) -16654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 5*n**2 - 2*n - 1 - 8\/3*n**3. What is x in s(x) = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -1\/3*z**4 - 2*z + 0*z**2 + 4 + 1\/2*z**3. Let v(c) be the first derivative of u(c). Find the second derivative of v(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(1*sqrt(11)) - sqrt(6))\/(sqrt(3) + 1*sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4976574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 424, 619, 810, 997, 1180, 1359?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*d - 4*a, 0 = 2*d - 0*a + 3*a - 1. Let q(j) = -2*j + 4. Give q(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*v - 142*v + 4*x = 7614, 3*x = v - 3802. What is the remainder when v is divided by 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {f: 5, y: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)**(-15\/8)*(f\/f**(1\/2))\/(f\/(f**(-8)*f)))**(-1\/31) assuming f is positive.\nAnswer: f**(15\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 7651297.\nAnswer: -4\/7651297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2. Suppose -10*z = -z + 270. Let p = z + 32. Let x(h) = 375*h - h**2 - 375*h + p*h**3 - 2*h**2 + 2. What is -x(a) + 3*y(a)?\nAnswer: a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -133. Suppose t = q + 2*d + 3*d, -d = -3*q. Suppose -s = s - q*s. Solve -g - 3*g - 20 = s, -2*p + 5*g + 33 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - n**2 + 5*n**3 + 7*n - 4*n in the form t*n**3 + r*n**2 + u*n + d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14504 + -25839. Let s = f - -19836. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 7, 22, 53, 106, 187, 302, 457?\n\"Answer: x**3 - x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1332, -5\/3, 2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 0 (b) -1\/16 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*j**3\/21 + 4757330*j**2\/21 - 1087376*j\/3 + 1014880\/7.\nAnswer: -2*(j - 95145)*(5*j - 4)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5365157579\/692696172 - 2\/1618449. Let i = -1\/214 + p. Calculate the common denominator of i and 123\/182.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 48*f + 4. Let o be p(-24). Suppose o*b - 58 = -3*x, -3*x - 2*b = 4 - 72. What is the greatest common divisor of x and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*z + 8877399 - 2604671 = -48*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t. Let a(y) = 2*y - 5. Let o(f) = -2*f + 4. Suppose -4*l + 17 = -3. Let i(p) = l*o(p) + 4*a(p). What is i(j(x))?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 52874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 - 5*h**2 - 2*h. Let p(u) = -7*u**3 + 9*u**2 + 3*u. Suppose 40 = 5*s + 5*x, -s - 4*x + 18 = -x. Calculate s*p(b) + 5*f(b).\nAnswer: -b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 4*o**3 - 11*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k. Let f be p(-1). Suppose 0 = -o + 1 + f. Suppose -g + 185 = o*q + 2*q, q + 5*g - 37 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(52\/16 + -2 - 1). Let j be 2\/(-5) + (-5178)\/630. Let m = -58\/7 - j. Which is the second smallest value? (a) 1\/5 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 6*u - 1\/4*u**4 - 2*u**2 + 7\/3*u**3 + 13. What is the remainder when o(6) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210264 at least -210214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 43, 140, 319, 604, 1019?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11*l = -4*l + 360. What is the remainder when 110 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 2*f**2 - 1. Let a be q(1). Factor -u**4 + 4*u**3 - 3*u**2 + 6*u**4 + 5*u**a - 3*u**4.\nAnswer: 2*u**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:05 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1005\/1732 - -4\/1299. Let b(k) be the third derivative of -w*k**4 + 0*k + 0 + 1\/3*k**3 + 3*k**2. What is the first derivative of b(y) wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2264 + -81. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2783 + -420. Calculate the highest common divisor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 6:19 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 71 - 55 = 0. Solve 12 = 4*f - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.64 + 0.64. Let i = s + 71. Sort i, -0.5, 4.\nAnswer: -0.5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*l + 8*l + l to b + i*l and give i.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134211 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/448 and 99\/5797684.\nAnswer: 649340608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(81)*-6) - (-3*sqrt(1782))\/sqrt(11).\nAnswer: 485*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 15. Suppose h + o*t + 30 = -4*h, 3*h + t + 11 = 0. Let w be 4 + (15\/(-21) - 4). Which is bigger: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 421*d + 318. Calculate the remainder when h(103) is divided by 47.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 4446*a**2 + 528749*a - 5279604.\nAnswer: (a - 4324)*(a - 111)*(a - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682802535.\nAnswer: 5, 863, 389989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.94 + 13. Which is the biggest value? (a) x (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -11, -153, -2\/5?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087883 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3195, 17656, 41753, 75486, 118855, 171860?\nAnswer: 234501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2309 divide 59281266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 1.99?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 4*y**2 - 10*y - 9. Is g(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139 take away -230.4?\nAnswer: 2369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 251 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsss when four letters picked without replacement from ccjjjjjjczjcccsc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -2 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) 0.009 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243355361391626 less than -0.3?\nAnswer: -243355361391626.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(((-2)\/8)\/(21\/(-56))). Sort -2, -4, 2, p in descending order.\nAnswer: 2, -2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 7. Let z be k(0). Suppose 0 = -z*y - 0*y + 35. Find the third derivative of -17*i**2 - 15*i**5 + 8*i**3 - 8*i**3 + 4*i**y wrt i.\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11275*x + 3. Let g(f) = 13*f. Calculate g(q(s)).\nAnswer: 146575*s + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33046?\nAnswer: 2, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*z - 658 - 2455 = 77*z - 197 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 204025 - 13?\nAnswer: 204012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21703 + 21701.2454. Round m to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpkmkkbmkmpmkmklmm. Give prob of picking 1 p and 2 m.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442728 is divided by 31566?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {q: 1, c: 7, i: 2, k: 1, g: 4, z: 3}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -93*x**3 - 11*x**2 + 74*x + 703. What is the units digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmmm when four letters picked without replacement from mmmwwmwmwwmmwwmmww.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 2*l**2 - 2*l - 11 - 7)*(-1 + l**2 + 1) to the form h + y*l**3 + i*l**2 + m*l + f*l**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 185, 504 in decreasing order.\nAnswer: 504, 185, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/15)\/(6\/(-18)). What is the closest to t in 3, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 15.86.\nAnswer: 12.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.99744 - -21. What is q rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.51 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/52749 or 1?\nAnswer: 16\/52749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281137?\nAnswer: 41, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + -7?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 28 = -3*r, 5*x - 8*x + 4*r - 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 6*a + 1 + 5*a)*(a - a - 2*a).\nAnswer: -12*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -593 + -60\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 + 0?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 2. Let c(a) = 7*a + 2. Let q(w) = -c(w) - 6*g(w). Calculate q(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/72 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:11 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9822*n**3 + 7995?\nAnswer: -29466*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4261 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/96 + l**5\/30 - l**4\/96 - l**3\/12 + 10*l**2. Factor o(k).\nAnswer: -(k - 1)**2*(5*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 48*(380\/120 + 10\/(-4)) + -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3938*7418\nAnswer: 29212084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471523, -471531, -471543, -471559, -471579, -471603, -471631?\nAnswer: -471663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-21 + (24 - 4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**5 + 348*k**4 + 15570*k**3 - 204000*k**2 + 359913*k - 171828 = 0.\nAnswer: -43, 1, 9, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(4 + 1 - 4)*(-5 + 4 - 1)*(-17 + 26 + 17)*(0*d - 2*d + d) as m + u*d and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4702.3 and -7?\nAnswer: 32916.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95.659 * -0.2.\nAnswer: 19.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y. Let c be 2\/6 - 518\/(-111). Calculate m(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.1482 litres in millilitres?\nAnswer: 315148.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 - 0.35. Let u = 5 + -5.4. Let o = u - v. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223775 is divided by 1790.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30782215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 208076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15130619 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2056 by -6.\nAnswer: 1028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 48 = -3*r, 0 = -k - 0*r - 2*r + 1. Let h(v) = v + 5. Let m be 12\/(-3) + (1 - -1). Let z be h(m). Solve 18 = -d - 3*o, 4*o = z*d - 0*d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 5*v - 25 = 0, 3*v - 17 = -i - 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5857461?\nAnswer: 3, 59, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24407 or -24416?\nAnswer: -24407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/1*2. Which is the second smallest value? (a) 2 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 4. Let f(h) = -13*h**2 + 3*h**2 - 13*h**2 - 2 + 14 - 3. Calculate 4*f(k) + 9*q(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 11*g + 6*g)*(g**2 - 6 + 4 + 0 - 2*g**3).\nAnswer: -24*g**4 + 12*g**3 - 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 + 382. What is the first derivative of 2*o + 64 + b - 193*o**3 + 0*o - 2*o wrt o?\nAnswer: -579*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*h = 20, -2*m - 3*m + 52 = -3*h. Let t = m + -6. Suppose 1 = b - 2*b, -t*a = b - 19. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2 + 751031 + 32*x - 751031 + 10*x**2. Give u(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387 and 8?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - o - 8, 2*u + 4*o - 26 = 0. Suppose -9*h + 7*h + 5*z = -7, 3*z = 3. What is the closest to -0.1 in h, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/92913624 and 95\/54199614?\nAnswer: 650395368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 2*g**2 - 7*g + 4. Let w be l(5). Let y = -25 + w. Suppose 5*n + 6 = 3*b - 3, 0 = b - n - 3. Solve -r = -b*j + 13, 9*j - y = 4*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*v = -72, 2*h = 6*h - 5*v - 132. Suppose 5*y + 9 - 21 = -k, -k - y + h = 0. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in hours?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 - 45*u**3 + 42*u**2 - 1.\nAnswer: 240*u**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 890181?\nAnswer: -445090.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.5 - 9. Let l = -317359\/230 + 1380. Let x = l + 1\/46. Which is the smallest value? (a) i (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*i + 131 + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 2, q: 4, e: 1}. Give prob of sequence im.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.2659567 rounded to two dps?\nAnswer: 71.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227.7 - -260. Let v = -32 + g. Sort -0.6, 3, 0.2, v in increasing order.\nAnswer: -0.6, 0.2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87792538 + 658*u**2 + 87792538 + 128*u**2.\nAnswer: 786*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + 14 + -7) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*-1*sqrt(1088))**2 + sqrt(1088) + (-1 + sqrt(1088) + sqrt(1088))*4 + sqrt(1088) + -6*((-4 + sqrt(1088) + 1 + sqrt(1088))**2 + 3).\nAnswer: 656*sqrt(17) + 12980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 17782*l\/5 - 2218320.\nAnswer: -2*(l - 8216)*(l - 675)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125523 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -106976 divided by -26744\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*m + 4 = 0, m = 5*b - b + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/3 - -1) + 9. Let a be ((-6)\/9)\/(o\/9). Let j be -230*a\/(2\/(-8)*-2). Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*i - 5. Let m(h) = -2*h - 6. Let p be m(i). Suppose y = -a - 0*a + 6, p = 4*a. Solve 14 = y*w - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -568 - -562.99. Let w = g + 6.01. Let i = 1753\/9 - 195. Which is the second biggest value? (a) -2\/3 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 + 562. Suppose 61 = x - 5*f, 9*x + 5*f = 4*x + t. Let m = 100 - x. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w + 2*w + s + 8, -4*w + s = 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 - 3*i**2 - i + 4. Let g be r(-3). Suppose 0 = -4*z + 463 - g. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.23 (c) -190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 130.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 12, -3 in increasing order.\nAnswer: -4, -3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(16\/5)\/w*w*w)\/(w\/(w**(-2\/61)\/w)))\/(w**(-12)*w*w**28*w) assuming w is positive.\nAnswer: w**(-4829\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1233 - 4?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 + -330. Let m = c - 175. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3284479 or -3284477?\nAnswer: -3284477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 858.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1234*o + 2 - 4*o**2 + 619*o + 609*o as c + y*o + u*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 26 = -5*j. Put 1, j, -16 in descending order.\nAnswer: 1, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140900018.\nAnswer: 2, 7, 10064287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 6. Let n be 14\/(-36)*(-6)\/((-14)\/7). What is the biggest value in n, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/4, 139, -5, 5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 = 469. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*t**2 - 2*t**3 + 33*t**5 - 276*t**2 + 139*t**2 wrt t?\nAnswer: 1980*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 238 = -236. Let p(l) = 4*l**2 + 2*l - 1. Let t(h) be the second derivative of -3*h**4\/4 - 2*h**3\/3 + 3*h**2\/2 - h. What is s*t(u) - 5*p(u)?\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148743 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 9) to base 11\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 82 = -183. Suppose 30 = 2*f - 4. Suppose -f*w + 12 = -r*w. Solve 0 = m - 0*m + w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96112107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38231124 - 19.13.\nAnswer: -38231143.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6305529 + 388669.\nAnswer: 388669.6305529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54336)\/(-31696)*((-7)\/14)\/(2\/(-98))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {i: 5, r: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = -4, -f + 4*b + 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 6*g**2 + 7*g - 3. Let q(l) = l**3 + 2*l**2 - 2*l + 1. Let n(v) = v + 2. Let j be n(4). Let w = j - -1. What is w*q(s) + 2*z(s)?\nAnswer: -s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471180006 divided by 1424182?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5, -427791, -3?\nAnswer: -427791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nco when three letters picked without replacement from {c: 1, z: 1, j: 1, o: 1, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509337 - 509337 + 853*d.\nAnswer: 853*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 164961603 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246788661 plus 0.36509?\nAnswer: 246788661.36509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/7*(-1)\/3. Let b be (-4)\/30 + ((-1748)\/(-240))\/19. What is the nearest to 1 in v, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585695483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t. Let d be (-18)\/(-12)*(2 - t). Let q = 0 - 1. Put d, 0, q in decreasing order.\nAnswer: d, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26833 + -27?\nAnswer: -26860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 - -4) - 7 - (-2 + 18)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h - 3*h)*(1 - 2*h + 2*h - 3*h**2 - 2*h**4).\nAnswer: 10*h**5 + 15*h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/20)\/(v*v*v\/v**1*v))\/(v**(15\/2)*v*v*v*v**(-11)) assuming v is positive.\nAnswer: v**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 17*l - 5 = 0. Let v(r) = -900000*r**3 - 3*r - 3. Let p be v(l). What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose g*m - 5 = -1. What is the first derivative of 2*b**2 - m*b**4 + 3 - 2*b**2 wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**2 - 23*g**2 + 62*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + l - 5, -2*l = -3*g + 4 - 14. Solve 0*r + r + 2 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 + -168. Suppose -8*x = -f*x - 1696. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 20, -5*v + 2*f + 9 = -8. Suppose -2*x = 2*u - 16, -6*u = -4*x - 5*u + 7. Suppose -v + x = -c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efkk when four letters picked without replacement from {k: 4, b: 4, e: 1, f: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5418, 5408, 5384, 5340, 5270?\n\"Answer: -k**3 - k**2 + 5420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v. Suppose 4*f + 37 = 9. Let p(j) = -7236 + 11*j + 7236. Determine f*q(o) - 5*p(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 + 2*w - 9. Determine c(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-196)\/21)\/(1\/(-3)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**3 + 8*k**2 - 247*k + 1671. Let i(a) = -7*a**3 - 10*a**2 + 247*a - 1673. Let m(x) = 4*i(x) + 5*v(x). Differentiate m(n) with respect to n.\nAnswer: 21*n**2 - 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -8\/3036557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/21, -3\/4, -77, -5\/3, -1508?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Let k = -4 - d. List the prime factors of (-39)\/2*k\/6.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**6\/12 + 14*x**5\/15 - 15*x**4\/4 + 6*x**3 + 49*x**2\/2 + 12*x. Let m(b) be the first derivative of v(b). Factor m(s).\nAnswer: -2*(s - 3)*(s - 2)*(5*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -183*g*k*l**2 + 56*g*k + 3007*g*l - 2*g + 132*k - l**2 - 2*l - 1 wrt l?\nAnswer: -366*g*k*l + 3007*g - 2*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8177549\/264718230 - 1\/74991. Calculate the common denominator of h and -13\/50.\nAnswer: 17650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:49 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k + 5*i + 20, -2*k = 4*i + 16. Which is the second biggest value? (a) k (b) -1 (c) 1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-11 - 2 - (44 + -45))) + 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/349827 and 13\/5.\nAnswer: 1749135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44322*a**2*g**5 + 2304*a**2*g**2 - a**2*g + 4*a**2 - 142*g**6 + 3*g**2 + 5*g + 2 wrt g.\nAnswer: 2659320*a**2*g**2 - 17040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48561 by 5.\nAnswer: 48561\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 93*r + 80*r + 103 = -4*r, -5*r + 15 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7131 - 7116 = 5*z, -29*r - z - 142 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 425, 759, 1039, 1235, 1317, 1255, 1019, 579?\n\"Answer: -5*z**3 + 3*z**2 + 360*z + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 15, -3*a - 288 = -5*v + v. Is -1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let s(k) = k**3 - 11*k**2 + 8*k. Let p be s(6). Let v be ((-16)\/p)\/((-4)\/(-6)). What is the closest to c in 5, -1, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157790 divided by -77186.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*o**2 - 4*g**2*o + 8*g*o - 500*g - 103684*o**2 wrt o?\nAnswer: -2*g**2 - 207368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, 3, -5 in increasing order.\nAnswer: -5, -2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -47. Suppose 3*v - 4*v = -z. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169355 + -120015. Let y = r - 49466.00475. Let i = y + 126. Round i to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36420003 - -36420754.69613. Let r = -757.996 + j. Let b = -6.3 - r. What is b rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.8388359.\nAnswer: -0.25165077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5297903*w**5 - 2318048*w wrt w?\nAnswer: -105958060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 4239.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:53 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**(1\/14)*n))\/n*n*n**(-21))**5 assuming n is positive.\nAnswer: n**(-1335\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34736 and -1864.\nAnswer: 64747904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9508, -38037, -85584, -152149, -237732?\nAnswer: -342333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/12)\/(10\/16)*(1547\/7)\/17.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 3}. Give prob of sequence kv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101101 (base 2) to base 8\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 885\/28 + -2731\/140. Calculate the common denominator of 31\/230 and f.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432448.9 centimeters in micrometers?\nAnswer: 4324489000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 1. Calculate the common denominator of 21\/38 and 2527\/210 + u\/(-5).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 31*l - 51. Let d be w(-12). What is the units digit of ((-48303)\/d)\/((-1)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 5*f + 2. Let b(x) = 2*x**2 - 12*x + 1. Let o(m) = m**2 - 6*m + 1. Let g(u) = -6*b(u) + 11*o(u). Let w be g(6). Give a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 4*z - 7. Let r(j) = -j**2 + 4*j + 7. Let x(o) = -2*p(o) - 3*r(o). Let i(a) be the first derivative of x(a). What is the units digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let l(r) = r**2 + 2*r + 1. Let w(o) = 3*b(o) - l(o). Let c be w(-4). Solve 8*v + s - 20 = c*v, -2*s = -v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, -4, -79 in decreasing order.\nAnswer: 16, 5, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.09 (b) 0.1 (c) 2\/9 (d) -244\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/73015?\nAnswer: -9\/73015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a7904 (base 13) to base 5.\nAnswer: -133030212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/28 + 8\/14. Let z(f) be the first derivative of 4 - 1\/6*f**6 - 1\/2*f**2 + 0*f + 0*f**4 + 0*f**5 + 0*f**o. Find the second derivative of z(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 3*i + d, 9 = 3*d. Let x(j) = -j**3 - 8*j**2 + 10*j + 5. What is x(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738 and 669366.\nAnswer: 669366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*j - 2*s, 4*s - 3*s = 5*j - 30. Sort 0, -12, 1, j in increasing order.\nAnswer: -12, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 8*y**2 - y + 18. Let t be p(8). What is the second derivative of -3*f**3 + t*f**3 + 25*f + 9*f**3 + 0*f wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + 12\/(-9). Let a = 3 + g. Suppose -5*v + 8*v - 49 = -2*z, -2*v - a*z = -36. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:32 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, d: 5}. Give prob of sequence dwd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l*l*l**(-2\/11))\/(l**1)**(20\/9)*(l*l**(3\/7)*l*(((l*l**(-7))\/l)\/l)\/l)**(-5) assuming l is positive.\nAnswer: l**(113836\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 133552474 divided by -517?\nAnswer: -258322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 34*j + 300. Solve 8*r = 12 + j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(272) - (sqrt(272) + -4)) + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 713, 1236, 1761, 2288, 2817?\nAnswer: 3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 6, -1.\nAnswer: -1, -0.02, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 27 = 45. Suppose -2*r + 50 = -3*o, r - 20 = o - 4. Let n = m + o. Sort 5, n, 10 in increasing order.\nAnswer: n, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1195 = 357*j - 625 - 2821 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 89 + 14 = 0. Let n = x - -15. Let b(p) = -p + 4. Determine b(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 6:29 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 19*k - 112. Give f(0).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 7. Suppose 0*i + 219 = 2*y + i, -a*i + 435 = 4*y. Suppose 4*s = -b + 204, 0 = -2*s + 2*b - 18 + y. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17080 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 92 = 16*c, 0 = 3*r + 3*c - 287 + 284 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.187353 to 1 decimal place.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81952 is divided by 382?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 39. Suppose 3*q - 3*a - 113 = 214, g*q = -3*a + 457. Suppose -4*t + q = -268. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 - 3*r + 3. Let u be h(3). Let d(a) = a**3 - 2*a**2 - 3*a + 3. Let k be d(u). Calculate the highest common divisor of 33 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 17996 = -4*n, -4*u - 11356 = -3*n + 596. Which is greater: u or -2992?\nAnswer: -2992","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545736 bigger than 1545157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*s**2*t + 7*s**2 + 3*s*t + 177*t wrt s?\nAnswer: -282*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401364521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 11*s**2 + s - 7. Calculate c(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 6. Is x(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 26*r**2 + 504*r + 114. Calculate l(39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6261 + 6263. Suppose -2*o - h = -3, 0*h = 4*h - 12. Solve o = 3*l - 5*n + 25, f*l - n + 0*n = -5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6*k + 4*l = 0, 4*l = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:03 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (52 - ((-2 - (-9 + 4)) + 17 + -29)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 11505. What is the remainder when 48 is divided by (-4)\/14 + b\/91?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.06 + 0.06. Let h(d) = 2*d + 2. Let w be h(-2). Let x be (1\/6)\/(w\/(-6)). Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 41 + 18*w)*(-1 + 22*w**2 + 16*w**3 - 22*w**2).\nAnswer: 288*w**4 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kekkkddddkd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2)\/(1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9002.4 plus -0.042107?\nAnswer: -9002.442107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 9. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**4 - k**3 + k**2 + k. Let h(d) = -150*d**4 - 2*d**3 - 34*d**2 + 2*d. Let m(z) = -h(z) + 2*n(z). What is the third derivative of m(t) wrt t?\nAnswer: 3552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u**3\/9 + 29384*u**2\/9 - 58954*u\/9 + 9836\/3 = 0.\nAnswer: -14754\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 693519 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 28781684.571.\nAnswer: 28781684.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3099*o - 3109*o - 150 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4182e (base 16) to base 15\nAnswer: -5478e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/84960 and -53\/39552.\nAnswer: 35003520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n + 3*r + 87, r = 4*n - 128. Let v = -34 + n. Is 7\/20 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 497 - -133?\nAnswer: 5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 9825*b**2 + 357030*b + 674800.\nAnswer: 5*(b + 2)*(b + 35)*(b + 1928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1418008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -61*n - 563. Calculate i(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8425 + -4352. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 16*i - 2*u = -7, -2*u = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(88)*1)\/((3*sqrt(88)*1)\/sqrt(11)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166231 and 741.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5) - (sqrt(22)\/sqrt(2) + 2).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17044 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -49*q**2 + 452*q + 3201. Determine g(14).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7575?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32951 and -17.03.\nAnswer: -32968.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 6 = -25*p + 3*y, p + 5*y = -10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/6 - 44*q**2\/3 + 1645*q\/6 + 2209 = 0. What is q?\nAnswer: -6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**1\/(v\/(v*v**(2\/3))*v*v**(8\/3)\/v*v))**(-2\/29) assuming v is positive.\nAnswer: v**(11\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31830 and 12732?\nAnswer: 63660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6)*-3*0. Suppose -h - 6 = -f. Let o = -4 - h. Solve 3*j = 5*a + 27, 3*j - 2*a - 24 = o*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.9662277 to 1 decimal place.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (sqrt(847) + sqrt(847)*-2))*2 + sqrt(847) + sqrt(847) + sqrt(847) + -1 + sqrt(847) + 0 + 2)**2.\nAnswer: 176*sqrt(7) + 54209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 1129, 0.0437.\nAnswer: -5, -0.2, 0.0437, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15707 is divided by 828?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12018832 is divided by 6722.\nAnswer: 6618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5980 and 163\/11445720.\nAnswer: 11445720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 46. Let b be z(-11). Solve -2*d = -4*t + 30, 5*t = -4*d + b*t - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181158 and 8215266?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*b + 3614 + 507 = -3068 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:54 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 96.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4467\/8320 - -1\/640. Is w != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35634.0387 + 35639. Let x = 0.0387 + q. Which is the nearest to -2? (a) 0.2 (b) x (c) 1\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 + 5*s - 8. Let k(r) = 3*r**2 + 2*r - 3. Calculate -11*k(z) + 4*m(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2368, 4764, 7162, 9562, 11964, 14368, 16774?\nAnswer: 19182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11289827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*h = 50, 4*b - 2*h - 3*h = -105. Let a = 20 + b. Solve 25 = y - 5*z, a*y + z = -3*y + 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/14 + 2 + (-137)\/(-7). Suppose 18*o = u*o - 2872. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 29 = -0*c + v, 5*v - 13 = -3*c. Suppose -c + 20 = 3*j. Solve j*h - 11 = -2*b, -12 = -2*b - 5*h + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(11) + -2)**2*1 - sqrt(11)) + -2 + -3 + (sqrt(11) + (5*sqrt(11)*-1)**2 + sqrt(11) - sqrt(11)).\nAnswer: -4*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 48. Let g = 41.033 + k. What is g rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*k**2*p - 34495*k**2 - 128*k*l**2*p - 2*k*l**2 - 6*k*l + k - 52*l**2*p wrt p?\nAnswer: -8*k**2 - 128*k*l**2 - 52*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 112*f**3\/3 - f**2\/2 + 1. Is g(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:32 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m - 3. Let t be v(-7). Suppose -3*r + 2 = -r - 2*p, 2*r + 5*p + 26 = 0. What is the nearest to -0.1 in t, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13564 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: Is 29530433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3356)\/(-4) - -1 - 2.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-9 + 26 + -22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 10329356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 2*y = -24. Solve -5*s - y = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 44 = -4. Let m = t - -2. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64338713 to the nearest integer?\nAnswer: 8021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12965 - 9086. Suppose -3*g = -k - v, 5*g + 2*k + 1869 - 8323 = 0. Let o = g - 12897\/10. What is the common denominator of 39\/4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + -2)\/(6\/(-4)). What is the units digit of -2*(6\/y)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003966967219 rounded to six dps?\nAnswer: -0.003967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + c - 15*c + 11*c + 10*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1*1*-1. Let l = -19 + 22. Suppose 2*y = -4*j + 2, 0 = l*j + 2*y + 17 - 21. Sort n, j, -4, -5 in descending order.\nAnswer: n, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 2467*q - 193251. Calculate t(81).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*j**2 - 11*j - 106*j**2 - 2*j - 2*j + 16*j.\nAnswer: 45*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -12. Let p(d) = 5 + 13*d - 7*d**2 - g*d**2 + 6 + 9*d**3 + 6*d**3. Let h(l) = 7*l**3 - 6*l**2 + 6*l + 5. Give -13*h(r) + 6*p(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.29999931 + -17.3. What is u rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w - w**3 - w**2 + 2 - 5*w - 4*w. Let s be z(0). Suppose s*f + 2*v - 97 - 3 = 0, -f + 66 = 5*v. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 725?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8790 divided by 6\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1 - (-230 + 211)) + 49 + -7 - -10?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24200 is divided by 235.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (4*3999)\/(-1) - -3. Round t to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198.58 + -196.58. Which is the second smallest value? (a) 40 (b) 0.5 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1606, -6425, -14436, -25609, -39914, -57321?\nAnswer: -77800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -290, -583, -872, -1151, -1414, -1655, -1868, -2047?\n\"Answer: u**3 - 4*u**2 - 288*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -189, -191, -193, -195, -197, -199?\n\"Answer: -2*q - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4)*b)\/b**9)**30 assuming b is positive.\nAnswer: b**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 483837*q - 5322215. What is c(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 7. Let i be o(4). Suppose -5*r = -3*r - 90. Suppose -y = 3*a - 10, y - i*a = a + r. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {f: 5, e: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:16 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 4:39 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34.18846 milliseconds?\nAnswer: 34188.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p + 11. Let f be y(3). Factor 20*u**2 + f*u**2 - 116*u + 60 - 24*u**2 + 4*u**3 + 27*u**2.\nAnswer: 4*(u - 1)**2*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 10:54 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*o - 1, 2*m - o = -2*o + 19. Solve 5*w - m = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1443363 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-10))\/((-14)\/70) + 60. Suppose 384 - 68 = 4*m - 2*f, -5*m + 369 = 4*f. Let y = m - u. Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4\/3*t**2 + 90 + 538\/3*t = 0.\nAnswer: -1\/2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, j: 1, v: 5}. What is prob of picking 4 z?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 615, 1246, 1877?\n\"Answer: 631*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-18) + 3 - (-8961)\/12006.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 7077*i**4 - 4177197*i**3 - 4170123*i**2.\nAnswer: -3*i**2*(i + 1)*(i + 1179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*m - 75 - 473*m + 44 + 31.\nAnswer: -1200*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -3*s - 4*q, -5*s + 91 + 146 = -2*q. Let n = s + -47. Suppose n = 12*x + x - 962. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -0*g. Let v(o) be the second derivative of 1\/12*o**4 - o + 0*o**2 + 0*o**g + 0 + 1\/20*o**5. Find the third derivative of v(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -d - 2, 0*d - 5*d + 3*b + 26 = 0. Let s be (-7)\/((-70)\/d) - (-6)\/(-15). Sort -3, s, 1.\nAnswer: -3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36965365*i**2 + 237850*i + 13 wrt i.\nAnswer: 73930730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:46 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -12*l**4\/5 + 45*l**3 + 306*l**2\/5 - 111*l\/5 - 36 = 0.\nAnswer: -1, 3\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b7363 + 0?\nAnswer: 4b7363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17515077493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(567) + -1 + 5 - sqrt(567)*-2*3) + 5)**2.\nAnswer: 882*sqrt(7) + 27832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5247 + -724. Suppose 5*y - 2*r = 4507, 4*y + y - w = -2*r. What are the prime factors of y?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7900*z**2 - 4990*z**2 + 5007*z**2.\nAnswer: 7917*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 25. Give h(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26871 divided by -53\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 + 2 + -1 + -1. Let i = 17 - h. Suppose 3*d = 5*u, -2*u = -2*d + i*u. Sort -5, d, 4 in increasing order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 82885015?\nAnswer: 82885018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/488988 and -7\/50286?\nAnswer: 14180652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*p - 20, 2*p + 16 = 2*n - 2*p. Find the second derivative of -15*z**3 - 31*z**3 + 9*z**3 - z + n*z**3 wrt z.\nAnswer: -210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 12*z + 31. Let i be l(-14). Suppose i*o - 4*g = 66, 2*o = o + g + 21. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-25)\/(-15) + 0)*-3 - -5. Suppose w = -2*l + 2*b + 174, -2*l + 144 = 5*b - 58. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 205, -87128, 2 in increasing order.\nAnswer: -87128, 2, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 527725\/249975*((-3)\/(-5))\/(((-4)\/(-5))\/2).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 2*t + 9621 - 9625. What is w(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30413.\nAnswer: 17, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbghbfjbffmgghbbhb. Give prob of picking 1 j, 1 h, and 1 f.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 20, -17*z + 4*s = -16*z + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*x - 25, -2*x = x - 4*t - 20. Let p = -1\/5 - x. Sort -5, -0.1, 0, p.\nAnswer: -5, p, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-72)\/(-15))\/(-6)*(1 + -16) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {b: 9, w: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7574270, -1\/6, -16 in decreasing order.\nAnswer: 7574270, -1\/6, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130.56 - 130. Let l = -0.41 + 0.51. Do l and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6 (b) -29 (c) 0.07 (d) -20\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 54051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpjudrrndnju. What is prob of sequence pnu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3604455 (base 10) to base 6.\nAnswer: -205131143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-2)\/(-1)) - -2. Solve -v*a - 2*j + 5 = -4*j, j = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + -35 + (3 - 46).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 1. Suppose 5*y = 5*p - 10, 2*y - 3*p = -5 - 3. Let f(h) = -2*h - 1. Give y*z(a) - 3*f(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-95)*(-3)\/6.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -666 - -690 - 1\/((-108)\/(-2584)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c)\/c*c*c**(3\/4)*c**(-1\/4)\/c**0*(c**1*(c\/(c*c**(-5)))\/c)**(1\/4) assuming c is positive.\nAnswer: c**(233\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01180693 rounded to 5 decimal places?\nAnswer: 0.01181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000639162361 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1168952 - 720952. What is m rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16173 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1\/9, 4\/9, 0.243, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11406*w**5*z + 2*w**4*z**3 + 41*w*z**3 + 232*w*z**2 - z wrt w.\nAnswer: -228120*w**3*z + 24*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**2 - 32 + 2*m + 1\/3*m**3. What is a(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**3\/3 - 3*o**2\/2 + 672*o + 27. Let n be y(0). Suppose 0*r - n = -8*r. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 9:51 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -719+10631.876579\nAnswer: 9912.876579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 52335891.\nAnswer: 52335891.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15471 and 25021.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 + (-133)\/(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/(sqrt(24)\/sqrt(3)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 divided by 34.\nAnswer: 191\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n - 1743. Determine x(-118).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 642684?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 831.1608 + 0.1392. Let r = u - 831. Let z be 3 + -4 - 17\/(-19). Which is greater: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 218\/13, 4\/33, 4, 2?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 43*d**2. Let w(n) = -60080*n. Give w(b(j)).\nAnswer: -2583440*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1. Let b be (3\/2)\/((182\/14)\/(-52)). Let s(r) = -2*r**2. Let a = 76 + -75. Determine a*s(y) + b*t(y).\nAnswer: -2*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/3 + (10\/(-3))\/(-5). Suppose o*j + 2*j = 441. Suppose -2*r + 13 = -j. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9277783, 18555576, 27833369, 37111162?\n\"Answer: 9277793*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*a + 589518, -20*a + 589483 = 4*h - 15*a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(350\/(-15))*2\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, l: 1, g: 1, o: 1, w: 3, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 208416 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = o + 22, 34*x - 32*x + 18 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -93*l - 3445. Give a(-23).\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (13 + -12 - (3 + -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6 + 6 - 700*q. Let c be t(-1). Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 - 3*a - 49. Let c(b) = 2*b**2 + b - 16. Give -3*c(m) + h(m).\nAnswer: m**2 - 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 5824?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 9) in base 16?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 4 - 4)*(-3621*v + 8 - 16 + 3 + 5).\nAnswer: -3621*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20765189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 10 - 13 + 40*g - 7.\nAnswer: 40*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) + sqrt(1792)*3 + sqrt(1792))*6)\/(sqrt(44)\/(-2*sqrt(99))).\nAnswer: -1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 9*y**2 + 4*y - 17. Let v be g(-5). Let l be 10\/(-40)*(-16)\/v. Sort -0.01, -1\/4, l in increasing order.\nAnswer: l, -1\/4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.29371 hours in microseconds?\nAnswer: 310657356000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -2\/39, -3\/8, -37?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 403\/(-39) + (33 + -9 - 21)*(-2)\/(-9)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from bgozo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 7. Let i be y(7). Let z = 9 - i. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 13. Let i be n(6). Let k be -3*i\/(21\/(-2)). Suppose -6 = 2*p, 0*p = 3*v + k*p. Solve 4*j - v = -18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318\/66 + 1 - (-4)\/22 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6157, -6158, -6159, -6160, -6161, -6162?\nAnswer: -6163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 5*v**4\/24 - v**3\/2 - 2*v**2. Let b be (1\/2)\/((-11)\/(-110)). What is the tens digit of u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 - n**3\/6 - n**2\/2 + 25*n. Determine f(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453 a factor of 115734472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 136605945 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2425192?\nAnswer: 2, 7, 11, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 4*i - 717. Let n be (18\/(-15))\/((-4)\/i). Let r = n + -40. What is the least common multiple of 7 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/((-8)\/288). Let o(c) = c**2 - 10*c - 88. Let l be o(x). Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/8, 3, 0.5, 0, -1\/4 in increasing order.\nAnswer: -1\/4, 0, 0.5, 19\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 2, l: 2, u: 11}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 - 12*p - 17. Let s be i(-10). Solve 2*y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8983, 71867, 242549, 574927, 1122899, 1940363, 3081217?\nAnswer: 4599359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1936 or 1933?\nAnswer: 1933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2\/25*i**5 - 2\/5*i**4 + 16\/15*i**3 - 8\/5*i**2 - 2*i - 1\/150*i**6 + 0. Suppose d(w) = 0. Calculate w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -18) + (-6 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3122 and 6272.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -303350 - -616350. Round u to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 8*s = -12. Suppose -4*m + 144 = -s*b + 5*b, 10 = -5*b. Let u = 68 - m. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75430 and 1670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -31) + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 21 = 8*k. Suppose 5*g = g + r + k, -2*r - 27 = -5*g. Suppose -18 = -4*z - g*o, z + o = -o + 6. Solve 11 = 3*v - 4*f, v + z*f + 8 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506*u - 377*u - 376*u - 379*u - 381*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*j**4*k - j*k**3 - 6*k**3 wrt j?\nAnswer: 188*j**3*k - k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - d**3 + 21*d + 6*d**3 + 11*d.\nAnswer: 5*d**3 + 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334 + -337. Let w(o) = -o**2 + 8*o - 6. Let c be w(7). Sort -5, c, a, 3.\nAnswer: -5, a, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 + -40. What is the remainder when 45 is divided by 188*2\/24 - (-2)\/v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -343122.\nAnswer: -343117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((-3 + sqrt(112))*-5 + sqrt(112))**2 - ((5*sqrt(77)*-3)\/sqrt(11) + -3)**2).\nAnswer: -3420*sqrt(7) + 2622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2*h + h + (-550 - 144 - 262)*(-3*h + 5*h + 4*h).\nAnswer: -5735*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 169\/8 - 39\/2. Which is smaller: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/56 + 9\/7. Put 4, -8, y in descending order.\nAnswer: 4, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/4 + 5*g**2\/2 - g. Let n(w) be the first derivative of f(w). Let o(v) = 2*v. Give n(o(m)).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3713 (base 8) to base 5.\nAnswer: 30440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d + 101 - 101 - 15*d**2 - 6*d wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651244 = 64*g - 53*g - 87*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -1.1. Let h = -2.2 - r. Let s(b) = b**3 + 4*b**2 - 2*b - 3. Let t be s(-4). Sort 0.5, h, t in increasing order.\nAnswer: h, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 114. Suppose -6*a - u = -11*a. What is the smallest common multiple of a and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*d = 3*d + 4, 4*i - 3*d = 18. Suppose 6 + i = 3*m. Is -1 - (-516)\/(6\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*t**2 - t - 62*t**2 + 55*t**2 as b*t**2 + h*t + f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 4. Let l be (-3)\/u*(-10)\/105. Let j = -44 - -44.3. Put l, 3, j in descending order.\nAnswer: 3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-143)*11484\/(-522))\/8?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from zjq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*h - 8, 5*i + 7 = -h + 1. Let a be ((i - -1)*1)\/1. Let y(c) = c + 0*c - 2*c + a*c. Let f(b) = -5*b. Calculate f(y(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + 49. Let a = o - 176. Calculate the highest common divisor of 48 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*(j\/(j**(-1\/12)\/j))\/j)\/j)**(3\/5) assuming j is positive.\nAnswer: j**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -621*w - 601*w - 703*w - 78*w + 181*w to u*w + x and give u.\nAnswer: -1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -19\/3?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 28 = -4*d - 2*n, -4*n + 32 = -3*d. Let q be (-2)\/(-6) + d\/6. Let l be 1*(q - 4)*-5. Solve 0*g + l = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177816114*f*p**2 + 225571178*p**2 wrt f?\nAnswer: -177816114*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5)*k)**(1\/18))**(1\/10)\/((k*k**(-2\/3))\/(k*k**(-6)\/k))**5 assuming k is positive.\nAnswer: k**(-2374\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5855993b + 2?\nAnswer: -58559939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -64. Does 23 divide (n\/(-4))\/(3\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-3)\/(-90)*6. Solve -j = -11*o - 45 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22235 (base 6) in base 12?\nAnswer: 197b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13.0005. What is b rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3048?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*c + 10050*c**2 - 610*c + 9837*c**2.\nAnswer: 19887*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1293989*k*p**2 + 195913257*k + 8*p**3 wrt p.\nAnswer: 2587978*k*p + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.4, 3\/5, -0.3, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2)**(-1\/8)\/(r**(-2))**12 assuming r is positive.\nAnswer: r**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*v - 3*y, -19*y + 3 = -2*v - 16*y. Suppose 2*r = 5*r. Determine x so that 0*x + 12\/5*x**v + 3*x**4 + 6\/5*x**5 + r + 3\/5*x**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (61 + -81 - -20).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2069997*n**2 + 2*n + 1. Let o be b(1). Round o to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 42. Let k = 94\/3 + o. Put k, -1\/3, 0 in decreasing order.\nAnswer: k, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5413 is divided by 1073?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b + 14. Let z be q(-9). What is z rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/4)*(p*p\/p**1*p*p)\/p)**43 assuming p is positive.\nAnswer: p**(645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 183*a - 3586. Calculate x(194).\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (8\/10)\/(-4) + 41\/5 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1388, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 242600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541510 - -666?\nAnswer: -540511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 1)*(0 + c**3 + 0 + (-4 + 4 + c**2)*(-2*c - c + 5*c))*(3 + 1 - 2) to x + g*c**3 + t*c**2 + j*c and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3210 - 5415. What is the lowest common multiple of 33 and ((-1)\/3)\/(49\/n)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 + 2*j - 9. Let n be h(-7). Suppose -2*x = z + 410, 0*z - n = 3*x + z. Let u = 407 + x. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/25)\/(10\/25*-1). Let d = -0.6 + 0.2. What is the second biggest value in k, 3, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60149660\/7 or 8592810?\nAnswer: 60149660\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 4:18 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -124008.\nAnswer: -1\/31002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 20. Let v be z(6). Let t(y) = -v + y + 3*y + 35 - y. Let w be t(-10). Which is the closest to 1\/4? (a) -5\/2 (b) w (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375 + 2414. Does 52 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17705639 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10 and -133\/33396.\nAnswer: 166980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 273*z - 217*z + 130 + 492*z.\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*m - 47. Let p = -167 - -170. Suppose -5*u - p*l = -2*l - 137, 5*u = -3*l + 141. Calculate the remainder when u is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erg when three letters picked without replacement from gueregugqe.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 666 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-2)\/sqrt(5) + -2*(sqrt(52))**2.\nAnswer: -104 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.203 - 15.203. Which is the closest to i? (a) -4 (b) -0.1 (c) -1.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/5)\/q)**(16\/9)*((q*q**(-3)*q)\/q)\/q**0)\/((q*q*q\/((q*q**1)\/q))**10\/(q**(-4)*q**0)) assuming q is positive.\nAnswer: q**(-1202\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 - 0.78. Which is the third biggest value? (a) -1\/5 (b) g (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3945 and 129?\nAnswer: 169635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/8 + (-5)\/(-20). Let u be (8\/(-14))\/(t\/(-21)). Solve u*n - 4 - 4 = -2*r, r = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 93\/5 (b) -0.07 (c) 109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:02 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8585162002011 + -0.4\nAnswer: -8585162002011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3081 and 378443338.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*f - 13, -7*f = p + 9 - 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439.093884 + 15.\nAnswer: -424.093884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20038901.542709 - 20039815.78. Let v = -956.83712 - p. Let z = v + 42.6. Round z to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8079*d**2 + 82 + d - 31008*d**2 - 84 - 19678*d**2 - 2*d**2 + 6*d**2 - 2*d**2 + (0 + 0 - d)*(1 - 1 - d).\nAnswer: -58762*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 47. Let b be 20\/(-1) + (0 - 2). Let v = b - p. What is the greatest common divisor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/239 (b) 4 (c) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10355 by 18.\nAnswer: 10355\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 3 - 22*c + 7*c + 15*c + 7*c + 13.\nAnswer: 7*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -870, -1320, -1810, -2352, -2958, -3640, -4410?\nAnswer: -5280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01167 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18570 and 15017559?\nAnswer: 150175590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69499106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -4\/7, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -470 + 434. Let k = n + 32. Let z(o) = -o**2 - 2*o + 4. Give z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554025 (base 7) in base 3?\nAnswer: 11221122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 7*v + 2. Let c be t(-9). Suppose -f = 4*f - c. Let h be (3\/2)\/(2\/20). Solve -g - h = f*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 418 = 18. Let j = f - 117. Suppose z + s + 4 = -0*s, -5 = 2*z + s. Which is the second smallest value? (a) z (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 104, 263, 548, 1001, 1664, 2579?\nAnswer: 3788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168823629?\nAnswer: 3, 13, 480979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**9*j*j*j**(2\/5))\/(((j\/((j**(-3)*j)\/j))\/j)\/j)**(-2\/11))**(1\/84) assuming j is positive.\nAnswer: j**(647\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/12190 and -103\/106.\nAnswer: 12190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12941*z + 18916*z - 478000 = 0 for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -346738 >= -346779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i - 3. Let k be d(-2). Suppose 5*s + k*g = 115, -5*s + 75 = 2*g - 7*g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1024392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31267724 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 14 + 18. Let x be (12\/8)\/(6\/(-16)). Calculate the common denominator of (x\/30)\/(l\/20) and -103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**3 + 64*d**2 + 52*d - 24.\nAnswer: -4*(d - 6)*(d + 1)*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017701493 minus 0?\nAnswer: 1017701493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(1700) + sqrt(17) - sqrt(17)))**2.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10033150 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157.753 + -158. What is i rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1072, 4 in descending order.\nAnswer: 1072, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*p = 3210 + 25316 - 381 + 25840 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -2939\/35. Let n(r) be the third derivative of -1\/147*r**7 + 4\/21*r**3 - 1\/7*r**4 - 2*r**2 + 1\/210*r**5 + h*r**6 + 0*r + 0. Solve n(x) = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*j + 853*j = -77318 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4656*o**2 + 171*o - 4656*o**2 - 132*o**4 wrt o.\nAnswer: -1584*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose 2 = 2*g + t. Is (79\/(-1) - 0)*g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93254 * 0.5.\nAnswer: 46627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 1. Let j(u) = -19*u - 30. Let a(m) = -m**3 - 16*m**2 - m - 21. Let t be a(-16). Let d be j(t). Let l = d + -63. Determine f(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110530822 to the power of 1\/2, to the nearest integer?\nAnswer: 10513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j. Let q(o) = 420*o. Let m = -11035 + 11029. What is m*q(t) + 255*d(t)?\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = u, 5*o = -2*u + 5*u + 20. Let h(m) = m**2 - 39*m + 360. Let d be h(24). Which is the nearest to 0.1? (a) u (b) d (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from mgmpepgggpmopgppe.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-42)\/72*(-12)\/28*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -0*u. Let x be u*3*7\/(-21). Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4080691, -4080662, -4080633, -4080604, -4080575?\n\"Answer: 29*v - 4080720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -690 divided by -10?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 21 + 33. Sort 0, 0.07, r in ascending order.\nAnswer: 0, 0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - -3071164\nAnswer: 3071164.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 - 67*f**2 - 86*f - 24 = 0.\nAnswer: -12, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:26 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314521530 + -42154.\nAnswer: -314563684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -7212*r**3 + 1456832*r**2 - 70080620*r + 77736 = 0.\nAnswer: 2\/1803, 79, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose 5*x - 2*y - 3*y = 165, -p*y = -6. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3142 is divided by 235.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q**5 + 202*q**4 - 322*q**3 - 146*q**2 + 344*q - 56 = 0 for q.\nAnswer: -1, 2\/11, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 3*l + 2. Suppose 2*c - 6*m + 16 = 0, 3*c + 23*m - 24*m = -8. Give t(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0 - 5\/6*u**3 + 1\/120*u**6 + 1\/24*u**4 + 2*u**2 + 0*u + 1\/10*u**5. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**5\/5 - 35*b**4\/6 - 107*b**3\/3 + 58*b - 5. What is the second derivative of i(t) wrt t?\nAnswer: 24*t - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/80*(-30)\/(-168)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 28*p**2 + 29*p + 2. Let y be q(29). Let 7*z**4 - 12*z + 5*z**3 - 11*z**4 + 15 + 7*z**4 + 7*z**3 - 18*z**y = 0. What is z?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 6:02 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351183*c**3 - 3115*c + 3115*c + 284939*c**3.\nAnswer: 636122*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 132*h**3 - 191*h**3 - 1 + 97*h**3 in the form q + k*h**2 + u*h**3 + c*h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -41*h + 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 6*g**2 - 29 - g)*(-5*g**2 + 2*g**2 + 4*g**2) to n*g + h + j*g**4 + k*g**3 + u*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by -28.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiiilull. Give prob of picking 1 i and 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 6*v - 6*v)*(3 - 3 - 4) to the form q + b*v and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -541900 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 12 = p, 20 = -p + 4*z. Let j be (-6)\/(-3) - (-2 - p). What is the remainder when j + 1 + 2 + 14 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 7*s**4\/6 - s**3\/2 + 3*s**2 + 29*s. What is the first derivative of v(w) wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14385 and 8442077?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by -2\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8900050 less than 3438.74?\nAnswer: 8903488.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 + 97. Suppose 9*t + 412 = r*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*p**2*v*z - 4*p**2*v + 2*p**2 + 211*p*v*z + p*v + 4*v wrt p?\nAnswer: -566*v*z - 8*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19574 divided by -6\nAnswer: 9787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(216) - -2*sqrt(216)*-1)\/sqrt(12) + (1*sqrt(648))**2 + (3*-1*sqrt(18) - sqrt(18))).\nAnswer: -30*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.021443 + 0.01697. What is d rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(((p\/p**1*p)\/p)\/p))\/p)\/p**3 assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2299)*3*-5 - (-4*sqrt(2299) + -4 + 4)) + -5 + -1)**2.\nAnswer: 7392*sqrt(19) + 7209700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 8, 64*o - 65*o - 4*u + 0*u + 21 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27347148 or -27347147?\nAnswer: -27347147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 9*m**2 - 111 - 234.\nAnswer: m**2 - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*d - 3978 = 783*d + 5705 + 35358 for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47077?\nAnswer: 179, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + 191. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxxwmwxwuiwxwiwwmku. Give prob of picking 1 w, 1 u, and 1 k.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 544.\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 4*y - 3. Let c be p(2). Let i = -2 + -2. Let v be (-39)\/i - c\/(-4). Calculate the greatest common divisor of 80 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 65*w**2 - 38*w - 55. What is the smallest common multiple of t(-33) and 75?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505, -590, -845, -1354, -2201?\nAnswer: -3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 2*s**4\/3 + s**3\/2 + 2*s**2 + 30*s. Let w be 1*1\/(-1 - 0). What is the units digit of u(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 872 and 169622857?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8412 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 151*v - 462.\nAnswer: (v - 154)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87\/5 of a micrometer?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.924011 grams to milligrams.\nAnswer: 1924.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119715.2 minus 115833025?\nAnswer: -115952740.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 2. Let w(f) = -39*f - 21. Let y(d) = -63*j(d) + 6*w(d). Let i(g) = -g**2. Give y(i(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2057) + 1) + 3)**2.\nAnswer: 880*sqrt(17) + 51489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/45)\/(((-56)\/(-48))\/(2\/(-4)))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1654, 1, -5 in increasing order.\nAnswer: -1654, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164209 times -622?\nAnswer: -102.137998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.5, 48, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309338031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 10*w - 76*w + 3*w**2 + 76 - 14*w.\nAnswer: 4*(w - 19)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 303*v**2\/2 - 373. Let r(j) = -j**2. Determine y(r(a)).\nAnswer: -303*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 3. Suppose 5*z + 4*t + 13 = 45, z - t = 10. Let g(p) = -3*p + 8. Give z*k(m) + 3*g(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -606986.61 to the nearest ten thousand.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -267, 1\/4, 3, 43\/2052 in ascending order.\nAnswer: -267, -0.5, 43\/2052, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*k + 8*k - 24, p + 12 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -249 + 241 + (2 - 159 - 1) - -10 - -11.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 206*t**2 - 28290*t + 1294992.\nAnswer: -(t - 138)**2*(t - 136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 = 3, 1022*q = 1018*q - 8*r - 2*r + 8*r + 56 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4 - (258\/(-66) + 3). Let y = -126\/55 - n. Factor 0 + 0*c + 0*c**2 - y*c**4 + 2\/5*c**5 + 2\/5*c**3.\nAnswer: 2*c**3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 547*x**2 - 3 - 275*x**2 - 3*x + 0*x**4 + x**3 + 6*x - 273*x**2 in the form c*x + i*x**4 + u*x**3 + m + g*x**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -50111?\nAnswer: 50111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 36 (b) 20 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 918.0007l?\nAnswer: 918000.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Let d = 5 + -5. Suppose d = -w + l*w - 2. Calculate the remainder when 3 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*k**3*n**4 - 5*k**3*n**2 + 24*k**3 + 19*n**4 wrt n?\nAnswer: -456*k**3*n + 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (7 - 3 - (136 - 135))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -161*h**2 - 7*h - 5. Calculate o(-1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + 8*t + 4. Let m be q(-6). Let d = 2 - m. Suppose -71 = -3*c + 259. What is the highest common factor of d and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + p = -1, -69*z + 6*p = -65*z + 42 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*o - 3*o - 386832. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3) + 1 + -3. Suppose 2*b - 10 = -2*c, 3*b + w + 3 = 0. What is the lowest common multiple of c and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide (((-73092)\/90)\/(1\/3))\/(4\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9\/2. Let u be -4 - -2 - (1 + -2). Let i = 0 - 4. Which is the closest to u? (a) i (b) -3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*j - 5 - 31*j - 39*j - j**4 + 4*j**2 - 33*j to i*j + k*j**2 + m*j**3 + p + y*j**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-36)\/(-30))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25554 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 5*p**2 + 5. Let g(h) = h**3 + 4*h**2 - 4. Let a = 5 - 10. Suppose 13 = -5*z - 7. Give a*g(m) + z*l(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181606279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 16*m**4 - 4\/5*m**5 - 388\/5*m**3 - 160 - 248\/5*m**2 + 272*m = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7853*m**2 - 6056*m**2 + 2919*m**2.\nAnswer: -10990*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Suppose -4 = -2*m - 0. Suppose 16 = 4*g - 0*w - 2*w, 0 = -5*g + 3*w + 22. Let v(p) = p**g - 3*p**m + p**2 - p**2. Give h(v(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65 - (94 + -83) - -52\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279522 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -29019.3898 to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -14\/9*k**2 + 0 - 2\/9*k**5 + 0*k - 2*k**4 - 10\/3*k**3 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*g + 14 = 3*g, g - 18 = -4*n. What is the derivative of -6 + n - 6*p + 1 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:20 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -15*f + 34*f - 104632. List the prime factors of f.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 25077\nAnswer: -1228773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 - 28755*g**3 - 1448490*g**2 - 10206400*g - 19491360 = 0. Calculate g.\nAnswer: -42, -4, 5801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8.5. Let g = -6585 + 6581. Which is the closest to 1? (a) 2 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*a - 98*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 6*s - s)*(-3 - 2 + 7)*(-7 + 29 - 7)*(-1 + 0 + 2) in the form k + g*s and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g - 9. Let n(b) = b**2 + b - 1. Let q(a) = 5*n(a) - p(a). Let r be q(6). Differentiate 0*l + 0*l + 1 - l**r with respect to l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1582 - 1590) + (28 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 - -225. Suppose -k*z - 16 = 2*z + 4*s, -3*z = 3*s + 12. Is z at most -5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -494 (c) 7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388248 and 147904.\nAnswer: 3105984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 423 in 0, -3, 12, 2\/35?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1059, -4244, -9561, -17016, -26615?\n\"Answer: -s**3 - 1060*s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -4 - (-95 - -78)) + -46\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 41*f = 52976. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/41? (a) 2\/13 (b) -2 (c) -1.1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14. Suppose q = 2*k - f - 9, -k - 11 = -5*k - 5*f. Suppose 14 = 2*g - k*i - 28, i = 5. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 6*w**2 + 39*w - 5. Give u(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2 + 0 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 8*t - 13. Determine h(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -10574\nAnswer: 3\/10574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z*(z**(4\/3)\/z)\/z*z)*z)))\/(z*z**(-2\/21)*z))\/(z**(1\/2))**(-44))\/((z**(2\/7))**16\/(z**(-2\/5)\/z**(-2\/5))) assuming z is positive.\nAnswer: z**(340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 61. Let q be j(7). Let y(m) = m**2 + 5*m + 15. Let v(b) = -b**2 - 9*b - 29. Let g(w) = q*y(w) - 3*v(w). Factor g(p).\nAnswer: -2*(p - 3)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 3*a**2 - 6*a - 32. Let h(t) = -2*t**3 - t**2 + 3*t + 1. Determine -h(f) - z(f).\nAnswer: f**3 - 2*f**2 + 3*f + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74867339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622, -4199, -13702, -32095, -62342, -107407, -170254, -253847?\nAnswer: -361150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186796 and 3299147?\nAnswer: 2747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -424970 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -93638.\nAnswer: 5\/93638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a. Suppose -l + a + 5 = 0. Let f = -3 + l. Solve -x - 3 = -f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 624 + -604.56. Let t = 2.6 - 22.6. Let m = t + g. Round m to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -16.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 0.02 (d) -29 (e) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 13*y - 32*y + 9*y + 8*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 15*a**3 - 8*a**2 - 12*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 35500*m**2 + 63716500*m - 2492180000.\nAnswer: 5*(m - 3530)**2*(m - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1226\/(-84) + 17 + (-429)\/26.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030320.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2 = -2*b, 5*n = 3*b + 2. Put -5, -3, n in decreasing order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 160*a**2 + 15*a - 10. What is m(1)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*m = -4, 2*m = -124*c + 129*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/12*1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 29. Determine q(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*l + 19859 + 35142 = -14718 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 27724247?\nAnswer: -27724248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - 104\/28. Let h = f - -7. Suppose 5*w + 18 = -2*r + 47, -3*w + 13 = -r. Calculate the least common multiple of h and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)*10*(-7)\/7. Let o(n) = -n - 37. Let x(i) = -12. Let v(w) = 3*o(w) - 8*x(w). Let z be v(d). Solve -3*b - k = -10, b = -k + 3*k + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.8 minus 53.603?\nAnswer: -121.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - 1.27. Let p = -0.02 - n. Which is the second biggest value? (a) 0.3 (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + 175\/(-21))\/((-1)\/18). Find the common denominator of 1\/81 and (67\/a)\/(54\/12).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*s - 171, 6*q + 3*s - 267 = 3*q. Is 4\/22 + 43720\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00140436552 rounded to 6 decimal places?\nAnswer: -0.001404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 30. What is the least common multiple of y(21) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315\/511136 or -1?\nAnswer: -315\/511136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2\/9, 3\/8, -1, 1.9 in decreasing order.\nAnswer: 22, 1.9, 3\/8, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 49 + 45 - 147 - 3*c**3 - 10*c**2 - 217*c**2 to k*c**2 + s + d*c**3 + w*c and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14822 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82.9543 - 83. What is j rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 7 + -1 + -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**2 - 2*a - 13\/3*a**4 + 1\/21*a**7 - 2\/15*a**6 - 20 + 0*a**5 + 0*a**3. What is the third derivative of x(k) wrt k?\nAnswer: 120*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226\/105 - 229\/70. Calculate the common denominator of -41\/6 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 631741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 22. Let y = 16 + x. Suppose -y*p - 144 = -9*p - 2*c, p - 18 = 5*c. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(2 - 5)\/(-3). Suppose -14*v - r*v = -3667. What are the prime factors of v?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 320*b**2 - 11*b + 17. Let f(z) = -z**3 + 108*z**2 - 4*z + 6. What is 8*f(i) - 3*g(i)?\nAnswer: -2*i**3 - 96*i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389520 + 389525. Let o = -212.3 + 204. Let n = o + 8. What is the biggest value in 7\/6, p, -1\/3, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-24)*(-6)\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by -3?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4*1)\/(-26 + 25)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10a - -8?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 = -2*c. Let b = 7 + c. Suppose -2*y + b*f = -140, 0 = 3*f - 8*f - 25. Calculate the greatest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2097\/8 = 261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 4445 = 21*q. List the prime factors of q.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b867 + 14b?\nAnswer: 9b9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/3, -0.319, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 4357262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let m(v) be the first derivative of -v**2\/2 + v + 1. Let n be m(-3). Solve -5*l + 2*l = d*b, -4*b - 16 = -n*l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0097 times 1797\nAnswer: -17.4309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23102 - 23099. Let b = -0.27 - 0.03. What is the nearest to o in -2\/7, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101101000 - 11?\nAnswer: -110101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157355*i**3 - 314218*i**3 + 156862*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-51) - 276\/(-34). Suppose 4*g = v*g - 12. Suppose u + 4*u + g*t - 210 = 0, t + 42 = u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {o: 7, z: 4, b: 3, m: 1, l: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*f = 2, 193*g - 194*g - 4 = 3*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.3 (b) -20\/3 (c) -1\/15 (d) 4 (e) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2528 - 2528 - 774*a**2 to the form c*a**2 + v*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4575\/(-122) - -29)\/(-1 - 2\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 73. Solve -2 = d + h, -3*h + n*h = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4, -4\/5, -14.7, 3\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 18 = -2*q. Let x = -2 + q. Let h be (-25)\/(-4) - (-11)\/(-44). Solve 0 = 3*s - h*v + 2*v + 2, s = -x*v + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 2.808?\nAnswer: 25.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, 32, 96, 174, 260, 348, 432?\n\"Answer: -h**3 + 16*h**2 + 3*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3)*(-2)\/(-3). Let r be 32\/12*(-3)\/c. Suppose 2*a - a - r = 0. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/5 + s**3\/5 + s**2\/5 - s\/5.\nAnswer: -s*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1)\/((-6)\/12). Let s(o) = o**3 + 7*o**2 + 8. Let k be s(-7). Suppose -k = -l - w. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 7. Suppose 2*l - 3*t - 17 = 0, -3*t + 5 = 5*l + 2*t. What is the least common multiple of 7 + (-5 - (2 - l)) and o(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 181\/4. Let r = -19 + 134\/7. What is the third biggest value in 4\/7, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3144531*b + 3144531*b + 2*b**2 - 489*b**3.\nAnswer: -489*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k**(-2\/9)\/k)\/k)\/k)\/k*k\/(k\/(k**(6\/5)*k)))\/(k**(-1))**(2\/7)*(k**(-2\/11)*k**(-3)*k)\/(k\/(k\/(k*k**(-2\/13)*k))*k*k**(3\/4)) assuming k is positive.\nAnswer: k**(-1173779\/180180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(3*r - 3*r + 2*r) - 7*r - 2*r + 4*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d = -4670. Let n(b) = 4*b + 20. Let y be n(-6). Is (y\/(-4))\/(1*2\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3, 2, -3, 2\/601, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -1. Suppose -n - 3*n = q. Let m be (n\/(-5))\/(2\/10). Solve -m = -5*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let w = -4.442 + 0.442. Which is the closest to m? (a) -0.5 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtgttwtw. What is prob of picking 1 g and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7df03 (base 16) to base 13\nAnswer: -150a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 9*j + 13. Let x = 1 + 0. Suppose 5 - 11 = c + 3*g, x = g. Does 13 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687790\/2441 > 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 7*w + 3*w - 19 + 355.\nAnswer: -8*w + 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = -k, 27 = 25*k - 20*k - 2*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -75 + (0 - 3) + -10 + 13 + -8?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let h be q(-12). Suppose -h = 5*a - 31. Suppose -18 = -a*n + 3*n. What is the remainder when n is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 4, 0.10968 in decreasing order.\nAnswer: 4, 0.10968, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 7, l: 5, t: 5}. What is prob of sequence lla?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (262\/1310)\/(((-32)\/(-10))\/4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1455)\/35 + 6)*-7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -18208460?\nAnswer: 18208446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6912 - 0.2\nAnswer: -6912.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -30*l**2 - l. Let n(j) be the first derivative of -j**4\/12 - 93*j**2 + 202. Let p(v) be the second derivative of n(v). Give s(p(u)).\nAnswer: -120*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 5*r**3 - 3*r**3)*(-2651 + 2185 - 2006 + 5288 + 3629 + 5188).\nAnswer: -104697*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v**2 - 41 + 41 + v in the form i*v + k + j*v**2 and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*c - 25, -8*c + 5 = 4*n - 7*c. Solve -4*p + p - 9 = n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 49, 76?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/6*(2 - -1). Let y = 1189 + -1191. Let r = -0.3 + 0.4. What is the closest to -2 in r, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Determine h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264 - -276.3. Let r = -15.3 - s. Let h = 7 - r. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - h**2 - 2*h + 4. Let n(l) = 4*l**3 - 2*l**2 - 5*l + 9. What is 5*k(m) - 2*n(m)?\nAnswer: 2*m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201441145 + -2?\nAnswer: -201441151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**3 + 0*b + 25*b**2 + 0 - 1\/8*b**4. Let p be v(2). Solve p = -0*a - 2*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27923000 rounded to the nearest 100000?\nAnswer: 27900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:45 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.08\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35390875 a multiple of 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -14.2?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2 - (70\/16 - (-168)\/(-21)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*k - y, 4*k - 53 - 72 = -3*y. Let h = k - 30. Suppose h = -0*i - i. Let s(j) = j**3 + 2*j + 2. What is s(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -69 + 0 - (-1 - -2). Let n be ((-3)\/(-2))\/(-3)*l. Suppose 0 = -3*o + 7*o - 5*a - 53, 2*a + 62 = 5*o. Solve 2*h + o = -d, 5*h + n = d - 6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 24 = -18*x. Suppose -196 = 5*o + 2*k, -23 = -x*o + 4*k - 191. Are o and -38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g. Let y(k) = -13*k - 12. Let d(l) = -37*l - 34. Let q(r) = -6*d(r) + 17*y(r). Determine x(q(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 85*w**2 - 91*w + 6. Let c(y) = -86*y**2 + 92*y - 6. Suppose -11*m = -7*m + 20. Let g(v) = m*r(v) - 4*c(v). Solve g(k) = 0 for k.\nAnswer: 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 + -674. Let p(o) = -3*o**3 + 5*o**2 + 5. Let z(s) = s**2 + 1. Calculate w*z(j) - p(j).\nAnswer: 3*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 4, b: 2}. Give prob of picking 1 f and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 487*c**2 + 27*c + 193. What are the prime factors of x(-5)?\nAnswer: 13, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p**2 - 43*p**2 - 8*p**3 + 2*p**5 - 53*p**2 - 12*p**3 - 72 - 174*p + 8*p**4 = 0. What is p?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 + f. Let t(u) be the third derivative of -u**5\/30 - 9*u**4\/8 + 4169*u**2. Determine t(c(q)).\nAnswer: -2*q**4 + 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1012*c - 9306. What is m(9)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11891667713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/3 - 1220*b**2\/3 + 1235*b.\nAnswer: -5*b*(b - 3)*(b + 247)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 - 5772*b - 197120 = 0.\nAnswer: -1408, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4\/5 (b) 1\/13 (c) 7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - 5) - -3 - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17301, -69191, -155669, -276729, -432365?\nAnswer: -622571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.21 + -211.66. What is g rounded to zero dps?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 1. Let t(u) = -13*u + 12. Let f(h) = -t(h) + 3*v(h). Suppose -4*r + 28 = -44. List the prime factors of f(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + 9\/6. Let u = 0.234 + 4.816. Let s = 5.2 - u. What is the nearest to -1 in s, 3, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, z: 8}. What is prob of sequence bzbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 21*x + 108. Which is the nearest to -0.1? (a) -2\/17 (b) x (c) 1\/4 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7521, 7520, 7519?\nAnswer: 7518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-8)\/10*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6203051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -10. Let c be (-3)\/(-1) - 2\/t. Find the first derivative of -s**3 - 1 + 1 - c - 2*s**3 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*m - 4*a - 36 = -223*m, m = -4*a + 19 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3812589 milligrams?\nAnswer: 0.0000000003812589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**3 + g**3 - g**3)*(-413 + 8*g - 418 + 823) to n*g**2 + t*g**4 + y + q*g + j*g**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose r + 2*f + 22 = 6*f, r + 5*f = 23. Let d be (36\/(-40) + 1)*(-12)\/r. Which is the smallest value? (a) d (b) -7\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z - 7. Let u be r(3). What is the remainder when 4 is divided by 6\/3 + u - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 3*m**2 + 3*m**2)*(-3*m**2 + 4*m**2 + m**2)*(10*m + 5*m - 7*m) + (-4*m**2 - 14*m + 14*m)*(-28 + 28 - 3*m**3).\nAnswer: 108*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34180577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-32)\/192).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695190623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - r - 1. Let p be n(-1). Let m be ((-4)\/3)\/((-21)\/(-90)*204\/(-714)). Solve p*y + m = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.93434ug to tonnes.\nAnswer: 0.00000000006593434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = 4*m - 7, 4*k = -8. Calculate the smallest common multiple of m and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902001 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**2 - 3*o - 2. Let a be w(-1). Is (-73405)\/53*-41*3\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -450*w - 717. Let m(p) = -45*p - 68. Let t(g) = 2*b(g) - 21*m(g). Give t(-3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110)*6 + sqrt(110))*-5)\/((sqrt(120) - (-1*sqrt(120) - sqrt(120)))\/sqrt(12)*6).\nAnswer: 25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 5*q - q)*(-3*q**3 + 6*q**3 - 4*q**3) + 4146*q**4 + 7866846 - 7866846 to h*q**4 + y*q**2 + o*q**3 + m + k*q and give h.\nAnswer: 4145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4685050632 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = 134 + 244. Let j be (-4)\/t - (-132)\/(-594). Solve j = 5*x + 2*s + 8, 0 = x + 4*x - 2*s - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Put 3, n, 4 in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -27037803.\nAnswer: -1\/27037803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, g: 1, d: 1, e: 5, z: 3, h: 1}. Give prob of sequence nene.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-33 + 23 - 35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6*f + 24*f + 2 + 14*f + 0 as d + t*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 323, 648, 973, 1298, 1623, 1948?\n\"Answer: 325*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2225 - 1841. What is the greatest common factor of 240 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 72. Let u(j) = -6*j + 54. Let n(m) = 4*u(m) - 3*z(m). Let p = -3 - -5. Let a(r) = 4*r**2 - 2*r**p - r**2. Give a(n(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 - 14*z - 41\/3.\nAnswer: -(z + 1)*(z + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 91*g - 122. Let u be l(-44). Solve -u*r = -39 - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 36 = 20 - 64 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -335*t**2 + 27*t + 10. What is b(2)?\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6.04. Let a = -0.69 + 0.7. Let l = a - y. What is l rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 13*t = -18*t. Suppose t = -4*o + 2221 + 1255. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 4437?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1659, 12421, 41133, 96771, 188311, 324729, 515001, 768103?\nAnswer: 1093011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003837 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 19 + 9*x - 10 + 0*x to v*x + d and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -18, 3 in descending order.\nAnswer: 26, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, i: 2, r: 4, o: 4}. Give prob of sequence ik.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.2. Which is the closest to 0? (a) z (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.256304g in nanograms?\nAnswer: 3256304000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 2*s**3 + 0*s - 3*s)*(-66 - 195 + 89) + (-s + 3 - 3)*(-6*s**2 - 8*s**2 + 2*s**2) to the form p + j*s**2 + y*s**3 + r*s and give r.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 10023, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {l: 3, r: 1, q: 6, f: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95130 divided by -1.\nAnswer: -95130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7230*g**3*x*z + 8*g**3*x - 9*g**3*z + 2*g**3 - 4*g**2*x - 244*x*z - 10*x - 10*z wrt g.\nAnswer: 43380*x*z + 48*x - 54*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -367 - -370. What is the smallest common multiple of b and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 16, 31*k = -4*h + 33*k + 776. Calculate the remainder when h is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -1, 26, 93, 212, 395, 654?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262223?\nAnswer: 2262223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21938 = 2506*z - 129696 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*20\/(-10))\/(-4*(-6)\/(-180)*-70).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87 divided by -14\nAnswer: 87\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 56. Let s = t - -225. Let w = s - 92. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 + 2 = 0. Let f(m) = -3*m**2 + 17*m + 11. Let h be f(6). Suppose 2*k + u = h. Calculate the highest common divisor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5610)\/(-132))\/(-85) + ((-285)\/(-106))\/5.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/64 and -79\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/4)\/j*j**(19\/3)*(j\/(j*j*j*j**(2\/67)*j))\/(j**41*j))**25 assuming j is positive.\nAnswer: j**(-752675\/804)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 16 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 318, 295, 272?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o + 5*q + 5, -o - 3*q - 11 = 0. Suppose -84 = -o*i + 232. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3635685179 to the nearest integer?\nAnswer: 60297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2\/2 + 13. Let k(n) = 23*n**2. Determine w(k(q)).\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*o - 4*o = 435, -o = -5*n + 450. What are the prime factors of n?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + -5 - sqrt(11)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.6 - -72.4. Let h = -88 + x. Which is the nearest to 1\/4? (a) -2 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*i + 93*i + 88*i)*(0 - 3 + 1)*(-1 + 1 + 10*i).\nAnswer: -2800*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14 + 17524\/(-864) + 6 and 65\/1809?\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -422049\/22 - -19189. Let s = x + 6\/11. Let m = 1.96 - -0.04. Put 1, m, s in increasing order.\nAnswer: 1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 637 and 91?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 322069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-9)\/(-24)*116*-2. Let o = v - -95. Solve 4 = -2*n + o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0*f + 5*f + 2*f**2 + 2*f + f - 6. Let k(m) = m + 1. Let q be k(-7). Does 6 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1012, -1048, -1102, -1168, -1240, -1312?\n\"Answer: k**3 - 15*k**2 + 2*k - 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*z - 74 - 10 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 - 764415*n**4 - 764365*n**3 + 6879635*n**2 - 8408490*n + 3057640 = 0. What is n?\nAnswer: -152882, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81579 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*w - 9, -5*p = 5*w - 0*w. Suppose 20 = -3*k + 4*u, p*k - 4*k - 15 = -3*u. Let s be (k + -1)\/((-24)\/192). Solve -5*r = -2 - s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Suppose p*t = t + 3. Suppose 3*a - 9 = -t. Solve 16 = -a*v - 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-27)*3)\/(144\/216)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2100 = 2924*t - 2854*t for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70169, -70164, -70159, -70154?\n\"Answer: 5*d - 70174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -7\/10*j**5 + 8*j**2 + 0*j**4 + 0*j**3 + 16*j + 0. What is the derivative of c(g) wrt g?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -30 - 3*l + 36 - 6*l + l**3. Let y be d(3). Suppose -4*v - 5*f = -24, -y = 2*v - 3*v - 5*f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3751169\/283 - -13255. Let s = w - 26\/38205. Let x(a) = -6*a + 29. Let v be x(5). Are v and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z - 4*z + 14*z - 2*z + (1 - 5 + 3)*(-4*z + 5*z - 2*z))*(13*z - 4*z - z)*(-4*z + 4*z + 2*z**2).\nAnswer: 160*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 649141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46015 (base 7) to base 4\nAnswer: 2312122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 38*a + 3134. Give b(-81).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d - 5*m, -3*d = -8*d - 5*m + 5. Suppose -p + 7*n - 3*n = d, -2*n = -2*p. Let x(r) = 4*r. What is the units digit of x(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 - -999adc?\nAnswer: 999b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2541*o**3 + 315*o**3 - 481*o**3.\nAnswer: -2707*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 55*u - 91*u + 36*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*3)\/((-9)\/(-12)). Let k = c + 0. Solve -7 = 2*z + k*n - 1, 4*z - 5*n = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 3066*i + 6129\/2.\nAnswer: 3*(i + 1)*(i + 2043)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*y + 2803 - 10803 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2311 by 299.\nAnswer: 2311\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x - 26 - 9*x + 6*x + 6*x + 85*x**2 wrt x.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -52, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 59\/2191336?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8283.3 times -0.033?\nAnswer: 273.3489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/18 - 3*f**3\/5 - 2*f**2\/3 - 12*f + 2. What is r in a(r) = 0?\nAnswer: -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 - 26 = 0. Is 1\/4 - (-1557)\/b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-32 - -9)) + -7 + -1 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 34*k - 32. Suppose -i = 2*b + 2*i - 54, 3*i = -b + 21. Let f be u(b). Solve m = -t + 5, -f + 9 = t + 4*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and 14.2102428?\nAnswer: 27.2102428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 3443115?\nAnswer: -3443123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 7. Let m be a(-7). Suppose 0*f + 52 = 5*f - 2*w, 5*w = 3*f - m. Let n(i) = i - 3. What is the units digit of n(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38876 - -38879. Solve -12\/11 - 38\/11*j**2 - 58\/11*j + 8\/11*j**c = 0 for j.\nAnswer: -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 11*f**2 - 12*f - 13. What is the units digit of z(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujbm when four letters picked without replacement from ommmjjbujbj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (0 - -2))*(7 - 2). Let c = t - -37. Does 5 divide 64\/c*(-1 + 38\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + 0*c**5 - c**5 + (-1 - c**3 + 4*c**3 - 10*c**3)*(4 - 4 + c**2).\nAnswer: -5*c**5 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 2149481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 45 + 32)*(20 + 14*c - 20)*(2 - 2*c - 2).\nAnswer: -756*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1))\/(v*v*v**(-8\/5)))\/(v**(-1))**(-2\/37))\/((v**1)**(7\/5)\/((v**(-4)\/v)\/(v*v**(2\/9)))) assuming v is positive.\nAnswer: v**(-10117\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, x: 1, e: 3}. Give prob of sequence eeoo.\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702774002?\nAnswer: 2, 23, 3931, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 131 = -99. Solve 10 = -n*d - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139713 + -139709. Let k(r) = 6*r**2 - r. Let n be k(-1). Let h(i) = -i**3 + 8*i**2 - 8*i + 8. Let j be h(n). Put j, -1, 3, x in increasing order.\nAnswer: -1, j, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8bad9 + -b?\nAnswer: 8bacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 4*s + 0*s + 48)*(6 - 2 - 2).\nAnswer: -8*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133464 and 166830.\nAnswer: 667320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/24 - n**3\/3 + 4*n**2. What is the smallest common multiple of -11*(-1 - (0 + 0)) and u(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*((j**(-4)*j)\/j)\/j)*j*j**(-1\/5))**42\/((j*j**(-2\/5))**48*(j**(-1)\/j)**(-29)) assuming j is positive.\nAnswer: j**(784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590027 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + 11*d**4\/24 + 13*d**3\/6 + 7*d**2 - 3*d. Calculate the remainder when 86 is divided by f(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 2. Let j be t(-3). Let h be 160\/70 + 2\/j. Let m = 2 - 0. Solve 12 = m*z + 2*g, h*g + 13 = 2*z + 5*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -165, -193, -221, -249, -277?\n\"Answer: -28*s - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 12*p**3 - p**2 + p + 2. What is the remainder when q(2) is divided by (6\/4)\/((-1)\/(-22))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 130 = 2*g + 132, -5*g = w + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1216*s - 882*s + 153*s to u*s + a and give u.\nAnswer: -1945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*k + 40, -4*r + 3*k = -k + 16. Let u = -2849 - -2849.2. Which is the third smallest value? (a) r (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18\/23, -0.02, 0?\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0199767 - -0.02. Round k to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -944016, -943403, -942790, -942177, -941564, -940951?\n\"Answer: 613*h - 944629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2*(-76)\/8. Let i(c) = -c**3 + 2*c**2 - 2*c - 2. Let n(t) = -4*t**3 + 9*t**2 - 9*t - 9. Calculate a*i(v) + 4*n(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98576776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17958142 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(153) + sqrt(153) + (sqrt(153) + 3 + sqrt(153) + -2)**2)*2.\nAnswer: -78*sqrt(17) + 1226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 174, 159, 148, 141, 138?\n\"Answer: 2*o**2 - 25*o + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) - (sqrt(1900) + -2)))**2*6.\nAnswer: -240*sqrt(19) + 11424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 8.7. What is the closest to 2 in -1\/2, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*k = 2*k + 1704, h - 425 = -k. Let s = 6076 - 5752. Let c = s + h. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from mmmmqmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - g**2)*(-2*g + 5*g - g) - 2 - 8*g**3 + 2 - g**3 - 2*g + 2*g - 4*g**2.\nAnswer: -11*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 33, -0.11, 3\/8, -81?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -31*n**4\/12 + 83*n**3\/6 - 5*n**2 - n + 55. Let h(v) be the second derivative of s(v). Differentiate h(w) with respect to w.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235\/228 or -2?\nAnswer: -235\/228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 778 - 5*h + 7*h.\nAnswer: -h + 778","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*4*(-104)\/260.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 17761.\nAnswer: 17760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.33? (a) 3 (b) -0.3 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/52 - -125\/1092. Let p = c - -20\/231. Factor -p*v**2 - 8\/11 - 8\/11*v.\nAnswer: -2*(v + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 37. Suppose 2*j = j + m. Solve -2*a + 7*a - j = 5*t, 2*t - 5 = -a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5)*134\/268\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.8, 5\/31099, -0.2?\nAnswer: 5\/31099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 + 165. What is the second biggest value in z, 0.32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-300)\/30*(-24)\/5. Let z be (2*-2)\/(1\/(-3)). Calculate the greatest common divisor of z and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(1\/10)*i*i**(5\/3)*(i*i\/i**2*i*i)**(-49) assuming i is positive.\nAnswer: i**(-2827\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l + 4*l)*(2*l - 2*l**4 - 2*l) - 7*l**5 + 8*l**5 + 20*l**5 - l**5 + 2*l**4 - 2*l**4 + (-3*l**3 + l**3 + 3*l**3)*(-5*l**2 + 2*l**2 + l**2).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -44. Calculate the least common multiple of 9 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394039810146*s + 394039810146*s - 66*s**3.\nAnswer: -66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8586138 = -8*v - 2533862. Round v to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 173159 and 4.\nAnswer: 692636","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 6065120?\nAnswer: 6065118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 16. Suppose 4*j - 4*v + 14 = -v, -o = 3*j + 4*v. Is j bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgnnnxxnn. What is prob of picking 2 n, 1 g, and 1 x?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475851203 to the power of 1\/2, to the nearest integer?\nAnswer: 49758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 27*m**2 - 84*m + 56. Let d(c) = 2*c**3 + 28*c**2 - 86*c + 56. Let k(v) = -3*d(v) + 4*i(v). Factor k(p).\nAnswer: -2*(p - 7)*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 11.1. Let y = o + 1.1. Which is the closest to 1? (a) 1 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**3 - 40*g**3 + 12 - 17*g**3.\nAnswer: -39*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/105, -4, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/14, 2\/45, 1, -7, 7 in decreasing order.\nAnswer: 7, 1, 1\/3, 2\/45, -1\/14, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*l, 8*l - 6*l = -4*w + 30 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4) + (-7)\/2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 52. Let f be q(20). Suppose -23 + 251 = f*x. Let m(c) = -c**3 + 3*c**2 + 2*c + 5. Let t be m(4). Put 1, x, t in increasing order.\nAnswer: t, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/3 - 106*b**3 + 628*b**2\/3 + 424*b - 2528\/3 = 0.\nAnswer: -2, 2, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1533*k + 1580*k. Let s be 4\/(-2) - (-1 + -1). Factor 0 + 2\/5*p**3 + k*p - 2\/5*p**5 + s*p**4 + 0*p**2.\nAnswer: -2*p**3*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {j: 7, t: 4, m: 4, p: 2, a: 2, i: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21*s**2 + 7*s + 10. Let q(n) = 21*n**2 + 6*n + 9. Let a(h) = 6*d(h) - 7*q(h). Differentiate a(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**4 + 2*k**2 + 4*k + 4. Let w(u) = 5*u**4 - u**2 - 5*u - 5. Let v(p) = -5*t(p) - 4*w(p). Find the third derivative of v(b) wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**(-6\/7)\/((y*y**1)\/y)**34)**(-33) assuming y is positive.\nAnswer: y**1122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 1 - (-1 + 2). Suppose -2*i + 2 + v = 0. Let p be (i\/(-4))\/((-1)\/12). Put -5, -3, p in increasing order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5489 + -5493. Let b(x) = x**2 - 3*x + 3. Let s be b(3). Suppose -s*u + 25 = 2*u. Sort u, -5, p in descending order.\nAnswer: u, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -123517*h - 6422885. Determine y(-52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13868762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1206 + 2118. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2055*v + 2*j = 2056*v + 11, 4*v = 3*v + 3*j - 8 - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198700 + i - 198767 + 397456.\nAnswer: i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 3, 4, 5, -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1\/3, 0.9, 2\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37703 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - a = -5*o - 20, a - 6*a - 76 = -493892*o + 493893*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 minus 0.039?\nAnswer: 1080.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - s - 460, -1700 = -3*p - 3*s - 350. What are the prime factors of p?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12015 and 4455.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 773 and -0.00024.\nAnswer: -0.18552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628224 is divided by 68?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180539, 180564, 180605, 180662, 180735, 180824, 180929?\nAnswer: 181050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.95 - 368.95. Let g = q - -369. Are g and 2.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 18. Let h = 158 + -152. Solve a + n = h*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 208*y**3 + 15*y**2 + 7*y + 281. Let g(z) = 69*z**3 + 4*z**2 + 2*z + 94. Let i(p) = -2*d(p) + 7*g(p). What is the derivative of i(u) wrt u?\nAnswer: 201*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m - 19. What is the remainder when 37 is divided by g(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 64*o + 143. Let c be w(12). What is the first derivative of 914*l**2 + 6 - 72 + 2*l**4 - c*l**2 wrt l?\nAnswer: 8*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-3))\/(2\/6). Let q be (-3 + 2)*4 + -3. Let x = o + q. Sort 0.2, -0.5, x in ascending order.\nAnswer: -0.5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054727545?\nAnswer: 5, 2683, 78623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {r: 1, e: 12, u: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17*w**2 - 2*w - 2. Let u = 3 + 0. Suppose 5*r + 6 = k, u*k = -3*r + k - 1. Is 8 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(21\/4))\/(u\/(u\/(u*u**(7\/5)))) assuming u is positive.\nAnswer: u**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 4*w - 1. Suppose 3 + 3 = 2*g. Let d be t(g). Suppose -2*k - 2 = -d. Calculate the lowest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3671*u - 5057*u = -45738 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6)\/(c*c**(2\/7)))**38 assuming c is positive.\nAnswer: c**(1520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z - 3*z**4 - 34*z**3 - 12*z**2 + 46*z**3 - 3*z.\nAnswer: -3*z**2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8455444 divided by 115828.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 12*q**2 - 11*q + 14. Give d(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1955\/18 + 113. Calculate the common denominator of u and 17\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42731361 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 2*y**2 + 12*y**2 + 9*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 4*l + 3. Suppose 2*u - 5*q - 7 = 0, 4*q = -0*q - 12. Calculate x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12840 = -4*j, 4*u + 4*j - 2*j + 12848 = 0. Let z = 1788\/361 + -8115883\/2527. Let l = u - z. Calculate the common denominator of -51\/8 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -48, 3, 86, 2, -13 in increasing order.\nAnswer: -48, -13, 2, 3, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 344.3 + -367. Let c = i + 23. Let s = -6.8 + c. Round s to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 + 2 - 5 + 1 + 3 - 2 + 1 + 3 - 3 + 0 + 1 - 2 + 6 - 3 + (2 - 1 + 1)*(0 + 1 + 1) - 4 - 1 + 3)*(-2*t**5 + 5*t**2 - 5*t**2).\nAnswer: -22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, -2, -3 in increasing order.\nAnswer: -3, -2, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35418, -34760, -34102, -33444?\nAnswer: -32786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23902 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 3*l + 3. Let k(u) = 23*u**2 - 11*u + 11. Let x(y) = 22*h(y) - 6*k(y). Let p(g) = -g**2. What is x(p(n))?\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -157. Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/21)\/((-136)\/(-12)). What is the nearest to 4 in -2, -1.6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.369743 grams to micrograms.\nAnswer: 9369743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11779*c + 1766. Let y(s) = 35335*s + 5298. Let k(u) = 17*g(u) - 6*y(u). What is the first derivative of k(p) wrt p?\nAnswer: -11767","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5452655, 10905313, 16357971, 21810629, 27263287, 32715945?\nAnswer: 38168603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5*(-245)\/49)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 4\/31 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 875 = 22*p. Let j be (-10)\/(-3)*30\/p*-7. Calculate the remainder when (-56)\/(-2) + j\/((-20)\/15) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {s: 9, c: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:56 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2c97 (base 15) to base 16\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98.2554 decades?\nAnswer: 11790.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 4*g**2 - g**2 + 2*g**2. Let o(t) = -2*t**2. Give v(o(r)).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 8, 4, -12, -46, -104, -192, -316?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 90*o**2 - 622*o + 794. Give k(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72.2 + 129. Let m = 84.6 + r. Round m to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77932428.\nAnswer: 2, 3, 7, 211, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i*i\/(i\/i**(-19)))\/(i*(i*i**(-6\/7))\/i)**(-24) assuming i is positive.\nAnswer: i**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221060808 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (-5 + -3*sqrt(700))**2)*-1.\nAnswer: -6325 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*z + 2*q, 0 = 6*z - z - 2*q - 35. Calculate the greatest common divisor of 333 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4 and (-543)\/864 - (-4)\/18.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(-26)\/((q\/q**(-4))\/(q\/q**0))*(q*q**(-7)*((q*q**4)\/q)\/q*q)**(-26) assuming q is positive.\nAnswer: q**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)**(-2))**(27\/7)\/((i\/i**(-1))**(2\/5))**(10\/9) assuming i is positive.\nAnswer: i**(-542\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - (-3 + (2 - -3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 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: What is next in 208, 209, 210, 211?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 12*b - 6. Let g(l) = 26*l + 6. Let w(s) = 61*s + 14. Let a(p) = -7*g(p) + 3*w(p). What is 12*a(k) - r(k)?\nAnswer: -3*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000371093 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 11 in ascending order.\nAnswer: -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:11 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 20\/9, -6, -2\/7, 0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -607, -1342, -2199, -3178, -4279?\n\"Answer: -61*y**2 - 552*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120415 + 120414.29939. Let l = o + 0.7. What is l rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 12. Let d(v) = -2*v**2 + v**2 + c*v**2. Let i(l) = l**2. What is d(i(f))?\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*t + 23, 45 = 5*t - 3*y + 14. Let a(f) = -f**3 + 6*f**2 - 6*f - 3. Determine a(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from ooknookinono?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:02 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3013 and 3273.\nAnswer: 9861549","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3904, 7705, 11514, 15337, 19180, 23049, 26950?\nAnswer: 30889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/5 - 28966*z\/5 - 116024 = 0. What is z?\nAnswer: -20, 14503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4261499582 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109401786 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**4\/24 + 5*r**3\/3 - r**2 + 346*r. Suppose 2*o + 3*o = -4*a, 3*a = o. Calculate p(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 103*l - 21. Let s be (-10)\/5 + 1 + -2 + 6. Suppose s*m + 6*n = 4*n + 14, 2*n + 10 = m. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 5, 4, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 9:40 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.0599, -5, 4\/33, -3, -1?\nAnswer: -0.0599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 551*j + 27600. Calculate d(-50).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/9 + 20*c**2\/3 + 38*c\/3 + 56\/9 = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 - (15808\/(-39))\/19. Calculate the greatest common factor of 567 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157090.\nAnswer: 2, 3, 5, 13, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j, -5*r + j + 3*j + 81 = 0. Let l(t) = 5*t**2 + 2*t + 9. Let g be l(r). What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174832 (base 12) in base 4?\nAnswer: -1202022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 328*r**5 - 325*r**5 + 6*r**4 + 2*r**4 + (-2 + 0 + 3)*(3*r**5 - 2*r**5 + 0*r**5).\nAnswer: 4*r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2 + 830015*p + 6830141 with respect to p.\nAnswer: 4*p + 830015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3734047065 to four dps.\nAnswer: 0.3734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(7) - sqrt(7)*1)) + -2 + ((sqrt(5103)*1)\/(sqrt(9) + sqrt(36)\/sqrt(4)*5))**2.\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.51738 + -10.48184. Let x = d + 15. What is x rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = 3*o - 1241. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1731?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6793605 and 12724530.\nAnswer: 801645390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4795, 4888, 4993, 5116, 5263?\nAnswer: 5440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -80396504 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - 5. Let u be h(-5). Let t be 1\/(-4) - (-105)\/u. Let s = t + -2. Solve 4*q = -5*w - 3, 3*w = -6*q + 3*q - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 3*q - 4*x - 12, 4*q + 7 = 5*x. Suppose -26 = -d - 14. Let l be 27\/d + 6\/8. Solve l*f + 20 = -q*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 186.7242l?\nAnswer: 186724.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let q(a) = a**2 + 11*a - 94. Let h be q(8). Let t(r) = 38*r - 45*r + h*r. What is g(t(w))?\nAnswer: 153*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -8 (c) 13 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 1. Let g(x) = 136*x**3 + 6*x**2 - 16*x - 11. Let q(z) = 25*z**3 + z**2 - 3*z - 2. Let t(j) = 2*g(j) - 11*q(j). Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose 3 + 24 = 3*i. What is the remainder when -2 + (24 - n) - -3 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3 + 2 - k + 4*k + 3*k. Let r be o(-1). Let y = -4 - r. Solve y*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*x = -26250 - 26850 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 370.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -0*l - 3*l + 4*k, 113*k = 118*k - 45 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 22*f**2 - 13*f + 2. Is c(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 40545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, t: 2, m: 4, f: 1}. Give prob of sequence fg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*k = 100*k - 114 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 4*c + 3*w, 0 = -3*c - 5*w - 91 + 258. Suppose 14*q = 9*q - 3*m + 33, -2*q = 4*m - 16. What is the greatest common divisor of q and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 1006. What is the units digit of d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4 - (-13132)\/(-336))*-15. Find the third derivative of 386*q**3 + 367*q**3 - 124*q**2 - k*q**3 wrt q.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 432. Suppose 6*u - 10*u + r = 0. Let c(k) = -k**3 + 7*k**2 - 4*k - 6. Let w be c(6). Calculate the greatest common factor of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2104f (base 16) to base 2\nAnswer: -100001000001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -36. Suppose -24 + 14 = -z*s. Solve -f + 15 = 2*a, -s*a + f = -0 - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46168?\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237882 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*(-27)\/(-6). Let s(p) be the second derivative of 0 - 1\/15*p**k - p + 1\/60*p**4 + 1\/10*p**2. Factor s(y).\nAnswer: (y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*6\/12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/382093001 and 47\/6?\nAnswer: 2292558006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2339 divide 136344988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8051220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(343) + -1)*3 + -4 + 0 + -3)**2.\nAnswer: -420*sqrt(7) + 3187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 - 14*y)*(2*y - 2*y - y**3).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2666.515 to the nearest integer.\nAnswer: -2667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1573\/12520 - 1\/1565. What is the nearest to -8 in -3, d, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times -0.12476?\nAnswer: -0.199616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0.4 (c) -11\/21 (d) 4.2 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 - -162. Suppose h = q*h - 60. Solve -20 = -11*t + h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 281267.8 to the nearest one hundred.\nAnswer: 281300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 976306.\nAnswer: 2, 488153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 554\/3 - 184. What is the closest to i in -72, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5*q + 15, 4*b + b + 4*q + 29 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 815961.\nAnswer: -125\/815961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*l = -4. Suppose 0 = 4*o - 2*o - 4*g + 2, -l*o + 3 = -g. What is the highest common divisor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -120, -183, -246?\n\"Answer: -63*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose 0 = 3*x - 15, y*p - p + x - 13 = 0. Suppose -r + p = 3*r. Sort -3, r, -4.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3497 - -5676. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n = -3 - 91. Put -1, -28, 3, n in descending order.\nAnswer: 3, -1, n, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 3102*h - 576724*h**3 + 2 - 576727*h**3 + 1153452*h**3 as u*h**2 + z + s*h + v*h**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23292*k**3 + 19*k**2 + 49*k - 2?\nAnswer: 139752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 5*n - 8*n. Let c(y) = -5*y**2. Determine p(c(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38210*l**3 - 16*l**2 - 6282.\nAnswer: 229260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 151*j - 17. Let d(b) = 3*b**2. Determine d(g(a)).\nAnswer: 68403*a**2 - 15402*a + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179455*k + 0 - 358914*k + 179461*k + 0.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38571994 * 0.08.\nAnswer: -3085759.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i\/i**5*i)**34 assuming i is positive.\nAnswer: i**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 2 f when four letters picked without replacement from ftauztfftfttztfaz.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 10002220200?\nAnswer: 10002220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 9\/6)\/(6\/10536). Suppose -6 = 3*b + 3, -4*b = 5*x - v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2459 is divided by 732.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -16 - 2. Let f = -9 + 17. Let l = f - o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1510 (base 7) to base 10\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + 0*o**3 + 2*o**3)*((-1 + 1 - 1)*(-3*o - o + 6*o) - 3*o + 0*o - 4*o) in the form m*o + y*o**4 + p*o**2 + f*o**3 + i and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.2 + -42.5. What is the nearest to 1 in 1, -2.44, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74516 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007668472 to five dps.\nAnswer: 0.00767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: bd8 (base 15) to base 4\nAnswer: 221312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 402 + 732. Calculate the remainder when 372 is divided by f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (12 - 10) - -10. Solve -x*r + r = -t + 13, 0 = -4*t + 2*r - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640 and 1398?\nAnswer: 1146360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:15 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10. Suppose n = -105*b + 95*b. Which is greater: -37\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - m**2 - 1. Let g be v(2). Let l = g + 54. What is the first derivative of -l*z**2 - 3 + 9*z**2 + 3 + 11 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1185 + 2350. Suppose 6*f = f + x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 214 = 174. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 6. Let u = k - -10. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from apdpapapaad.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 + 3*b + 8. Let x(t) = 2*t**2 - t - 3. Let q be (-4)\/(1*(-2)\/4). Let n(s) = q*x(s) + 3*o(s). Let j be n(0). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (206\/721)\/((36\/392)\/(-9))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, 2\/9, -8\/3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 471*a + 42569. Determine k(-122).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 4. Let q(f) = -1. Let s(b) = 8*q(b) + w(b). Let p be s(7). Solve 2 = p*k - k + 3*j, 1 = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7794.48?\nAnswer: 7794.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-48.\nAnswer: -11.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220 - 220020?\nAnswer: -1200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590978?\nAnswer: 2, 47, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9196384 divided by 6\nAnswer: 4598192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 14003 = -0*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 157*w**4\/12 - 173*w. Let o(c) = 3*c. Determine n(o(d)).\nAnswer: 1413*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 6, 5, 4, -1 in ascending order.\nAnswer: -1, 4, 5, 6, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1048, 2146, 3320, 4594, 5992, 7538, 9256, 11170?\n\"Answer: 4*w**3 + 14*w**2 + 1028*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 50 = 9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4963.77 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 490*h. Let t(s) = -3*s. Determine -175*t(j) - y(j).\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u - 6. Let z be x(5). Suppose -18*c = -253 - 53. Let i = z + c. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.959 - 0.241. Let l = 36 + i. Let d = l + 0.2. What is the nearest to -1\/3 in d, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009203153259 rounded to five decimal places?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2)**2 + sqrt(114)\/sqrt(6) + -3.\nAnswer: sqrt(19) + 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzwwzw?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -894 - 4?\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -823, -1715, -2607, -3499?\n\"Answer: -892*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24741361?\nAnswer: 24741361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 9*t**2 - 2*t + 17. Suppose -3*n = -5*p - 19 - 35, p + n + 6 = 0. Does 7 divide i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + y = -4, 2*v + 11 + 9 = -5*y. Let n be v - (-1)\/(1\/2). Suppose -6 = -n*b - 0. Solve 0 = -r - b - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*u + 12 = 0, -11*n + 7*n = u - 6. Sort 222, -5, n in decreasing order.\nAnswer: 222, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 969.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 429*j**2 - 7793*j + 74. Calculate w(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8915282*n**6 + n**4 + 2*n**2 - 2271834*n.\nAnswer: -1069833840*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*q = -4*q + 2, -4*q = -5*a + 13. Let x be (2 + 1)\/(3\/a). Solve 0 = -3*f - 12, 3*w - x*f - 10 = 8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f - 2*f**2 + (0 + 2*f + 0)*(-2 - 2*f + 2) + (-3*f + 4*f + f)*(4*f + 5*f - 4*f) as w*f + x*f**2 + q and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 3.98. Let z = -4 + 4.08. Let v = z + t. Which is the third biggest value? (a) 1\/2 (b) v (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -6 (b) -0.4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -49.95. Let n = 49.8 - q. Let d(l) = -l**2 + l + 4. Let z be d(3). Which is the second smallest value? (a) n (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -441, -470, -499?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259986990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*d + 1, 0 = -62*s + 57*s - 5*d - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1507, -5992, -13457, -23902, -37327?\n\"Answer: -1490*n**2 - 15*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 141\/6*99328\/240. Let i = f + -9720. Calculate the common denominator of i and 17\/243.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -862 divided by 7\nAnswer: -862\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 58*k**2 - 1248*k - 68. Calculate v(21).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 1:55 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 + 15*n**2 + 5*n + 13. Is k(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.03 (c) -2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121210 + 1?\nAnswer: 1121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let m = -253\/4 - -63. Let p = 9137\/19 + -481. Which is the nearest to v? (a) p (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5116 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4372.5 - 4372. Which is the closest to -1\/2? (a) -34 (b) q (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 11 = 4*c - 15*l - 73, 5*c - 2*l + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2713610 rounded to the nearest 10000?\nAnswer: -2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 10. Suppose -n - z = -2*d + 3, 5*d - 27 = 4*n. Solve 10*k - 4 + 2*k**4 + d*k**2 + 2*k**3 + 0*k**3 - 4*k**3 - 9*k**2 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87289798140 + -87289332553.9099981. Let b = 465586 - f. Let g = b + 0.09. Round g to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -570 - -1001. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23125, 92767, 208883, 371473, 580537?\n\"Answer: 23237*q**2 - 69*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*o**2 - 119*o**2 - 6*o**2.\nAnswer: -280*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 o when three letters picked without replacement from {u: 9, o: 2, i: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -3 + -1.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.18 - -1.02. Let k = o - 19.2. Is -2\/9 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -92, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 11*y = -b + 3, 11*b + 3*y - 74 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*g*n**2 + 2*g*n + 59903*g - 43*n**2 - 2*n wrt n.\nAnswer: -300*g*n + 2*g - 86*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8b93 (base 12) to base 4\nAnswer: -3302133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - b = 448, -4*o + 3*o + 17251 - 17195 = 3*b for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 577969839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 + 45 = -2*f. Let r = f - 15. Let o be 1\/1 + (2 - r). Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 7.58. Let q = o + -5.42. What is the biggest value in q, -11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 5*h**2 + 2*h - 13. Does 11 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(0 + 4 - (-7)\/(-2)). Suppose 2*b - 45 = -3*b + 5*i, -3*b - 4*i - 1 = j. Let w(f) = -5*f**2 - 6*f. Let m(y) = 4*y**2 + 5*y. Calculate b*w(p) + 6*m(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -36. Let r = -11 + s. Is r at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -26. Suppose 5*a - 6*a + 63 = o. What is the highest common factor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.435235l to millilitres.\nAnswer: 8435.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232314 + -130?\nAnswer: 232134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 1655. Suppose x = -7*a + 28*a. Calculate the smallest common multiple of 8 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*p**5 + 21588928*k*p**3 + 660935*k*p wrt p?\nAnswer: 40*k*p**3 + 129533568*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - ((-4)\/(-16) - 1\/4). Solve -4*i = -z*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*f + 3, -5*x + 17 = f + 6. Let l = 3 - -2. Suppose -2*p + l = 1. Do x and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3167180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104886 and 528147626.\nAnswer: 11654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -576 - -2026. Suppose -3940 = -2*v + 7*v. Let i = v + o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g*g*g**(-2))\/(((g*(g**(-1\/13)\/g)\/g*g)\/g)\/g**1))**(2\/49) assuming g is positive.\nAnswer: g**(-24\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(117)*6 - sqrt(117))*2 + -4 + 1*sqrt(117) + (sqrt(117) + 2 + sqrt(117))*4 + 0)**2.\nAnswer: -984*sqrt(13) + 196693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -5. Suppose -3*g + 251 = d. Let y be 4\/(-26) - g\/(-65). Is y > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-33)*4*45\/(-30). Let y = -1.6 + 2. Let i = -0.4 - -0.3. What is the biggest value in u, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*o**2 - 387 + 387 + 5*o**2 + 8 - 8 + (-5 + 1 + 3)*(-3*o**2 + o**2 + 4*o**2).\nAnswer: -267*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 186*i**2 - 199*i - 1890. What is x(-187)?\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12)\/(24\/((-4992)\/(-910))*8\/28)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11 + 4 - 2)\/1. Let m = -15 + n. Let o be -6*(-3)\/(-63)*-1. What is the closest to m in o, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -760.62.\nAnswer: -763.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/9 + -1\/9. Let f(q) = -2*q**2 - 5*q + 3. Let k be f(-4). Let d be k\/(-10)*10\/24. Which is the closest to -1? (a) u (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.05, 0.3554?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459211 (base 10) in base 9?\nAnswer: 6452127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10727.\nAnswer: 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:26 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 481005 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (69949*o**2 + 3*o - 69412*o**2 - 2*o)*(24 + 27 + 4*o - 53) as t*o**3 + a*o + d*o**2 + j and give d.\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16993 is divided by 5664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 2148 = 7242. Let v = w - 284. Let y(q) = -q. Let k(j) = 7*j + 3. Calculate v*k(b) - 4*y(b).\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/117 - (198\/63)\/(3\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 48. Let q be 209\/6 - (-2)\/d. Let y = q - 34. Does y = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {f: 3, j: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240326486?\nAnswer: 2, 53, 2267231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + f + 51 = 0, -4*b = 4*f - 36. Let u = -10 + b. Let r(w) = w**3. Let h be r(-1). Put h, u, 3 in decreasing order.\nAnswer: 3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*n - 2409 = 0, s + 5*n + 1803 = -2*s. Let h = s - -2906. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = 8*u + 27 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*m - 22, 4*t - 9 + 37 = 4*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*t**2 + 26*t wrt t?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -0.3679, -0.9?\nAnswer: -0.3679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 7.85.\nAnswer: 3.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -27*a - 10. Let t be d(-2). Suppose -7*j + 2*g - t = -6*j, -158 = 4*j - 2*g. Which is smaller: -37 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = -2*c, 3*c = i + 4 + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12955 is divided by 12923?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/136427?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, 4590, 3 in increasing order.\nAnswer: -8, -6, 3, 4590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 5*p**8\/336 + 17*p**7\/42 + 17*p**6\/8 - 197*p**5\/12 - 65*p**4\/6 + 150*p**3 - 2*p**2 - 113*p. Suppose j(s) = 0. What is s?\nAnswer: -10, -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 - 44 = -8*n. Solve -n = -3*l - 17 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73545\/8 + 9193. Which is the nearest to -1? (a) w (b) 3\/2 (c) -8 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 2*i**2 + 3*i - 24. Let z be h(4). Let w be (4*24\/(-84))\/(2\/(-21)). Calculate the highest common divisor of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15760*c**3 - 2*c**2 - 3068 + 3086 + 15762*c**3 + 26*c to the form k*c**2 + b*c + t + a*c**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-4)\/63. Let n be (-4)\/(-12) - 30\/45. Put s, -0.1, n, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2752)\/(-83248))\/((-2)\/(-99))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 37 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*r**5 + 4*r**3 + 7678*r.\nAnswer: -3220*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -870\/11 (b) -0.02 (c) -1747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -3\/8, 0.1, -5, -0.3, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3 + 2. Suppose j + 2*d = 3*d + 1, -3*j + 5*d + t = 0. Let m be 7 + -2 + -2 - 0. Solve j*o = -m*o - 5*u + 10, 4*u = -5*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1463 + -1353. What is the smallest common multiple of o and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160.8 - -160.6. Let x = 0.01 - 0.31. What is the nearest to -0.1 in x, 3\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - 3 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*-7*(-6)\/(-10). Let o = -64\/3 - j. Let f be (-36)\/(-10) - 4 - (-13)\/20. Which is the closest to o? (a) f (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 487 - -11. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 66 = 219. Let t = 28 - r. Let o be 5\/15 + t\/(-3). Solve 7*m - 1 = 4*m + 5*k, 0 = -4*m + k - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1313 + -49899\/38. Let x = -1523\/259 - -22\/37. What is the common denominator of j and x?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 12*v + 9*v = 10, 15 = 4*b - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 5:37 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (4 + -4)) + 12\/(-9). Let m = -1.3 + 0.3. Let d = 5 + 0. What is the closest to m in 3\/5, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6852 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 8*c - 8 - 43 + 132 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123 + 68 - 101)*(-2*i - 5*i + 3*i)*(1 - 3 + 4) to the form h*i + x and give h.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4.89, -37\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2903562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 4*w**2 + 1620*w - 1623. Calculate r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(3430\/(-3087))\/((-5)\/48).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfffnffnnnn. Give prob of picking 1 f and 2 n.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112661 - 2166?\nAnswer: -115160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 22*h**2 + 114*h - 4. What is the remainder when 202 is divided by y(-6)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43, 68, 111, 172?\n\"Answer: 9*g**2 - 2*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*b + 4*s - 19, -5*s = -25. Let g(i) = -i - 1. Let j be g(b). Suppose 4*p - j*x - 64 = p, 5*x = -5*p + 165. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-192 - -110) + -1 + -3) - (-37 - -29)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/2*39611\/(-225478).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*g**4 + 1827*g**3*w - 4*g*w + 57171*w wrt g.\nAnswer: -12*g**3 + 5481*g**2*w - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3 and (294\/(-12))\/(7 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 5*9\/(-3). Let q = 25 - x. Solve 0*f + 3*f - q = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343187881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k + 150. Let c(h) = -3. What is 150*c(d) + 3*u(d)?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -543?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (525\/10)\/3*(4\/(-20))\/((-1)\/(-6))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*u - 2, -3*u = 6*x - 10*x + 22. Let k(o) be the third derivative of -o**2 + 0 - 1\/50*o**6 + 0*o - 1\/20*o**5 - 1\/40*o**x + 0*o**3. Factor k(d).\nAnswer: -3*d*(d + 1)*(4*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*q + 26, -q - 16 = -0*q + 4*x. What is the second derivative of -3*p**4 + 2*p**q + 3*p**4 - 3*p**4 - 5*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80969, 79615, 78267, 76925, 75589, 74259?\n\"Answer: 3*g**2 - 1363*g + 82329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 5*q**4 - 5*q**4 + (0*q - 4*q**2 + 0*q)*(-498*q**2 + 676*q**2 + 296*q**2) in the form g*q**3 + l + u*q**4 + m*q**2 + x*q and give u.\nAnswer: -1894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) -1 (b) -23 (c) -224.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -15\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*n + 26 = 0, -5*t + 95 = -4*n + 101 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-40) - (-57)\/(-5). Let f(x) = -x**3 - 12*x**2 + 6*x - 13. Let v be f(y). Calculate the remainder when 5 - 1 - (v - -4) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -390, -607, -844, -1107, -1402, -1735?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 7*d. What is z(-11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i + 1356 - 1424 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 14*c + 6. Does 15 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*i - d, -2*i - 3*d + 18 = -7*d. Suppose -4*q = -73 + 13. What is the greatest common factor of q and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m = -39*m - 12, 5*h - 2*m = 28. Let b(l) be the second derivative of 14*l + 5\/2*l**3 + 5*l**2 + 5\/12*l**h + 0. Factor b(x).\nAnswer: 5*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 2, o: 3, t: 13}. Give prob of sequence sy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004838456 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -190. Suppose 59*n = c*n + 112. 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 least common multiple of 194060 and 4069?\nAnswer: 2522780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -106. Which is the biggest value? (a) n (b) 0 (c) -4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + (4 - -20 - 18) + (-4 + 2 - 16).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80207637649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 67*n**2 - 32*n - 28. Let g be u(33). Let m be ((-10)\/4)\/(0 - g\/4). Solve -7*p + 8 = -3*p + 3*q, -5*q = -m*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21941 + 21935. Let y(m) = m**2 + m + 1. Let r(n) = 3*n**2 + 7*n + 6. Give p*y(g) + r(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**4 - 617190*g**3 - 19035678560*g**2 + 647887217280*g - 1219626782720 = 0.\nAnswer: -61736, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n + 16. Let v = -757 + 761. Let g = 0.1 - 0.2. Which is the fourth biggest value? (a) v (b) 0.4 (c) n (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3))**(-22))**(11\/7) assuming x is positive.\nAnswer: x**(484\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:01 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*h*t + 6*a*h + 3*a*t**2 - 5*h - t wrt t.\nAnswer: 2*a*h + 6*a*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**3 + 5 - 3*m + 0*m**2 + 13\/6*m**4 - 101\/20*m**5. What is the third derivative of j(p) wrt p?\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237, -252, -277, -312, -357, -412, -477?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-25))\/(3\/15). Let w(z) = -10*z**3 + 11*z**3 - 5*z**2 + 2*z**2 - 2*z**2 - 3*z. Let i be w(t). Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88427 = -7*g + 119844. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28113 + -0.0376\nAnswer: 28112.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/24*-2*(-15)\/1. Suppose 2*l + 3*l = -2*k + 7, -l + z*k = -23. Let m be 1*3\/((-9)\/l). Put 5, -2\/3, m, -1\/7 in ascending order.\nAnswer: m, -2\/3, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*x**(-3\/5))\/(x\/((x\/((x\/x**(-2))\/x*x))\/x)*x*x**(-5)))**(2\/17) assuming x is positive.\nAnswer: x**(-1\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2606772 + 271?\nAnswer: -2606501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22164707 and -4.\nAnswer: -88658828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300 or -3.394?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-79)\/237)\/(2*2\/(-48)). Suppose -4*f + 2*f = 10. Put f, i, -30 in decreasing order.\nAnswer: i, f, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/((u**15*u)\/u*u)*u))*u)*u\/u**(-7)*u)**(-44) assuming u is positive.\nAnswer: u**(-1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 178634102 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 21*d - 920. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120549608 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b + 4. Let q be (-5)\/(2\/(-2)) - 2. Let v(u) be the second derivative of -u**3 - 3*u**2\/2 + 62*u - 1. Give q*y(o) + 4*v(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -293500 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r - 2. Let s be y(-2). List the prime factors of (-6)\/s*(-322)\/(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4399.5 to the nearest 10.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(32340\/2765))\/(4\/(-44)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10502 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -17 + 13. Suppose -v = 4*n - 3*v - 20, -20 = 5*v. Let d be (-2)\/(1\/n*2). Is d equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.1 (c) -0.4 (d) -1625\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 7. Let v be x(5). Suppose v*h - 2*h = 211. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o**(-4\/3))\/(((o*o**(2\/19)\/o*o)\/o*o)\/o*o**0) assuming o is positive.\nAnswer: o**(-107\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 27*a + 16. Let m be c(9). Let v = 57 - m. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwdwwdccwccwcw. Give prob of picking 1 w and 3 c.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 1305110?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 94*c + 719 = -889 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0.1 (b) -5\/6 (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 - 610 - 13*r + 324 + 286.\nAnswer: -22*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4))**(-2\/29)*(d\/(((d\/d**(-1\/4))\/d)\/d))**(-37) assuming d is positive.\nAnswer: d**(-7479\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240000 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + k - 311, 2*i + 0*i + 3*k - 198 = 0. Is i a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 4, u: 1}. What is prob of picking 1 s, 1 u, and 1 z?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 6. Let w(y) = -9*y - 7 - 4 - 2. Suppose -9*p + 4*p = -65. Suppose -p = -z - 0. Give z*m(u) - 6*w(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e1 + 96?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 2*d**2 - 13*d**2 - 78*d - 2 + 80*d as t*d**4 + w*d**3 + j*d + v*d**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18. Which is the biggest value? (a) 0.2 (b) 1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407034788?\nAnswer: 2, 3923, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/176*11*-26?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 4. Let v(t) = 4*t**2 - 3. Suppose 3*f - 7*f - 16 = 0. Give f*v(u) - 3*l(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-3\/2)*(j**(-9)\/j*j)\/j**(-5\/2) assuming j is positive.\nAnswer: j**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uljl when four letters picked without replacement from {z: 1, u: 2, e: 2, j: 1, l: 8}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-374)\/(-935))\/(436\/(-20))\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41\/(-8) + (-8)\/(-64). Which is the biggest value? (a) 6\/13 (b) 1\/2 (c) o (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5795.\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3931701*k**4 + 4770548 with respect to k.\nAnswer: 15726804*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492993?\nAnswer: 1492993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -275, -413, -551, -689?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 795085.\nAnswer: -1\/795085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 39 = l - 0*n, 3*l + 117 = -4*n. Let u = 21 + l. Is (15 - 14)\/((-1)\/u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 12 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2265408 and 143\/149040.\nAnswer: 11327040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 351270 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 545720303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58132 bigger than 3720369\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 3297 = 2*l. Let q = l - 161. What is the nearest to 4\/9 in q, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-12)\/8. Suppose -4*m + 92 = -4*g + 3*g, -4*m + 92 = p*g. Suppose -m = -b - 4*v, 0*b - 91 = -3*b - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by 10070413\nAnswer: 156\/10070413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2339409 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - s + (6 - 1 - 2)*(-s + 0*s - s) - 4*s + 3 - 3.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -695 and -693 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in -0.4, 0, 1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 - 2*d**2 - d**2 as p*d + w*d**2 + h and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) -0.047 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*j*r**3 - 50*j*r*w + 8553*j*w + 9469*r**5 + r**2*w - 2*r*w wrt r?\nAnswer: 840*j*r + 189380*r**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q - 1. Let v be i(1). Let s = -13 + 0. Let h be s\/52 + (-3)\/(-12). Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 13 = 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 79. Let y(r) be the first derivative of 1\/3*r**3 + 3\/2*r**2 - 2 + r. Calculate y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - 12*a**2 + 21*a + 10. Let i(p) = -6*p**3 - 18*p**2 + 31*p + 14. Let z(j) = 5*i(j) - 7*o(j). Factor z(l).\nAnswer: -2*l*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20991.3 and 0.3.\nAnswer: 20991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*o - 29, 3*v = 4*o - 0*v - 63. Let b be o - (-2 + 4 + 1). Suppose -4*m - 1 = -i, 3*m + b = 6*m - 5*i. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 - 3*s + 3. Suppose 4*t - 5*t - 4*v = 3, -3*v = 3*t. Give w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 14*k - 21. Let i(y) = -y**3 - 6*y**2 - y + 2. What is the smallest common multiple of i(-6) and l(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 63*w**2 + w + 2. Let l = 131 + -129. What is the units digit of k(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11*(9\/(-3) - -6). Let g be ((-16)\/(-12))\/(1\/l). Let s be 6\/(-9)*12\/g. Which is the nearest to 6? (a) 0 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jtjjjtjjjjttjjjjtjj?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 638518*o**2*w**2 - 15*o*w**2 + 693*w**2 + 7*w - 402 wrt o?\nAnswer: 1277036*o*w**2 - 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(1\/2)))**(-36)\/(f\/(f*f*f\/(f\/f**7)*f))**37 assuming f is positive.\nAnswer: f**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196856 (base 12) to base 7.\nAnswer: 3541221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518*j*l**4 + 66*j*l**3 - 827031*j*l**2 - 8*j*l - 5*l**4 + 3*l**3 wrt l.\nAnswer: 12432*j*l + 396*j - 120*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 22338?\nAnswer: 16\/11169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - w - 167 + 336 - 161 = -7*r, 4*r - 6*w - 22 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:23 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4033, 16158, 36419, 64858, 101517?\nAnswer: 146438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2196 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + 40. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/20)\/(1\/10). Suppose -8 + 45 = 5*f + r*h, h - 3 = 0. Let n(k) = -2*k - 1. Let v(p) = -4*p - 3. What is f*n(y) - 2*v(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 22010?\nAnswer: 21333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 519, 3487, 11537, 27207, 53035, 91559?\n\"Answer: 423*x**3 + 3*x**2 - 2*x + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) -1 (c) 0.5 (d) 5 (e) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 13720*s**2 - 8153600*s + 1780746240.\nAnswer: -5*(s - 168)*(s + 1456)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -14*n - 3*d + 232, n - n = 3*n - 3*n + 36*d - 144 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1896*p**3*s**3 - 6*p**3*s - p*s**3 + 2*p*s + 67*s**3 wrt p.\nAnswer: -11376*p*s**3 - 36*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 0.4, 17, -477\/4, -1\/3, 1341\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42583541 and 95095?\nAnswer: 212917705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f - 8*f**2 + 5*f**3 + 3*f - 1 + 9*f - f. Let l be q(-11). Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 25*u - 152. Let f be k(-8). Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 77, -0.4, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 129*q**2 + 4812*q + 1050. Calculate g(91).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 130*g - 1331. Give q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21540 and 151139?\nAnswer: 9068340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.52914 from -1252197.61.\nAnswer: -1252199.13914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 279*y**2 + 78*y + 561. Determine f(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892382 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -282 + 304. What is the nearest to 0.1 in 0.3, d, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/30 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 1?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 95. Suppose -5*i - 5 = -5*p + b, -2*p - i = -5. Solve 5*w - 45 = -3*d - 2*d, w + p*d = 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/84 and -7\/1216738?\nAnswer: 51102996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 + -212. What is the smallest common multiple of i and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 1. Suppose 0 = 36*i - 6*i + 150. Let r be (-3*(-2)\/(-27))\/(i\/45). Calculate m(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709602171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*l + 28, -l - 2362 = -n - 2342 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 718760*j**3 - 86 + 718762*j**3 - 3*j**2 + 13.\nAnswer: 2*j**3 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -65*y**8\/112 + y**6\/120 + y**5\/60 - 67*y**4\/6 + 1537*y**2. Find the third derivative of l(n) wrt n.\nAnswer: -11700*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -64, -0.3, -2, -1\/5, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 21.5, 32, 2, -1\/14, -3.2, -6\/11?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/54 - 1)\/((-2)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4234*r - 992276. What is g(249)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**4 - 1276187*w**3 + w**4 - w + 8 + 1276217*w**3 to q*w**3 + t*w**4 + p + j*w + m*w**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 2539\/24. Calculate the common denominator of -34\/33 and t.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 20. Suppose 0*r - 5*f + 25 = 5*r, 20 = -y*r + 4*f. List the prime factors of 3 + (r - 3) + (-640)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84622, 83425, 80186, 73885, 63502, 48017, 26410?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -77577.\nAnswer: -12412.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.21209l to millilitres.\nAnswer: 212.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2*p**2 + 4*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkfekffskff. What is prob of sequence kfke?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 28\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1186 and -26\/3?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 20 + 48 = 0. Suppose -2 - 2 = k - 5*s, -2*k - 2*s + t = 0. Let p(w) = 24*w - 1. Determine p(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -636 * -813.\nAnswer: 517068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 325*a - 325*a - 430*a**2 - 276*a**2. Let n(f) = -8*f. Determine g(n(w)).\nAnswer: -45184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -w + 73 - 17, 4*z - 92 = 3*w. Solve 9*b - 29*b + z = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 6*n - 1 - n. Suppose -4*i + 0*i - 1 = -3*q, 0 = -5*q - 5. Let g be (11 + -12)*(-2 + 1). Let s(h) = h - 1. Calculate g*a(z) + i*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 33*n + 30.\nAnswer: 3*(n + 1)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15320 times 0.225\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38053327 is divided by 61976?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -471, -710, -949?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {d: 2, g: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13300 + 21003?\nAnswer: 100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 661*y - 6506. Calculate the lowest common multiple of r(16) and 20.\nAnswer: 8140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -25 - (193 + -212)) + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 9 = 7*p, 3*p = 753*y - 755*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - v. Let z = 7 - 6. Let w be d(z). What is the fourth smallest value in 1, 0.5, w, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2)*3*2\/(-4). Suppose 5*f - 64 = w*g, -4*f - 4*g + 70 = 6. Suppose f*c + 474 = 20*c. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 680.7 + -680.8. What is the nearest to h in -0.1, -0.3, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8195 - -217826239.\nAnswer: 217826239.8195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720 + 720 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 7*x - 1. Suppose 6*d - 3*d = -45. Suppose 4*i = 20, -5*b + 0*i - i + 55 = 0. Let k = d + b. Give t(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + s - 11 = 0, 4*u + 3*s = -0*s + 18. Suppose u*z = -z + 8. Solve -4*p + z = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1782655951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**4*w**3 + 2*a**4*w + 8*a**4 + 2*a**2*w + 6*a*w + 20*w**3 wrt a.\nAnswer: 144*a*w**3 + 48*a*w + 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**10*h*h\/(h\/h**(4\/9)) assuming h is positive.\nAnswer: h**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9820, 19679, 29552, 39445, 49364?\n\"Answer: g**3 + g**2 + 9849*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 808*h**3 + 2*h**2 + 15298?\nAnswer: 96*h - 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135624 and 36.\nAnswer: 406872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -7. Let q(z) be the first derivative of -z**2\/2 - z - 12. Let y(l) = 2*l**5 - 2*l**3 - 4*l - 4. Let g(b) = n*q(b) + y(b). Let g(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363493059 to the power of 1\/3, to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*k = 7*u - 205, 5*k + 107 = 3*u. Let h = 47 - u. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303 + -303.0233. What is f rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 0*r + 6*r)*((9 + 7 - 8)*(0*r - 3*r + 5*r) - 2*r + 0 + 0) to the form y*r + k + p*r**2 and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.3698 - 19.2208019. Let x = 0.851 + c. Round x to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140519 smaller than 140519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*i**3*s + 2*i**3 + 602*i**2 with respect to s.\nAnswer: 511*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*h - 306. Let n be (-4)\/(4*-1) + h\/45. Which is the third biggest value? (a) -4 (b) n (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3932.772 grams to kilograms.\nAnswer: 3.932772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1363111008?\nAnswer: -1363111008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 less than 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.9547 centuries in millennia?\nAnswer: 79.39547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37818, 37813, 37806, 37797, 37786, 37773?\nAnswer: 37758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*n + 5 = -43, q + 4*n - 40 = 0. Suppose -u = u - q. Let c = -13 + 25. What is the smallest common multiple of u and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s + 3*s)*(3*s + 0*s - 2*s)*(-3*s**2 - 3 + 3).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -545.86 + 490.923. Let n = -0.063 + o. Let f = n - -55.1. Which is the nearest to f? (a) 0.8 (b) 4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooonnno. Give prob of picking 3 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 53*o - 5. Suppose 3*r - 25 = -2*r. Let f be l(r). What are the prime factors of 1\/(-2) + f\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 4227, 13816, 32231, 62352, 107059, 169232?\nAnswer: 251751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73711123 is divided by 126?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171629*o**4 + 16259*o**2 - 11?\nAnswer: -4119096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 123a99 + 1c?\nAnswer: 123ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 10*h**2 - 557*h - 5637. Determine o(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38604 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7838 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let z(f) be the first derivative of -2*f**3\/3 - 80*f - 277. Give u(z(r)).\nAnswer: 8*r**4 + 640*r**2 + 12800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l**3\/5 - 32*l**2 - 184*l\/5 - 32\/5 = 0. Calculate l.\nAnswer: -2, -4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -2. Let h = 2 - 2. Let t = l - h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5831 - -11222. List the prime factors of o.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -23. Let h = -3.6 - -0.6. Let r = v - h. Which is the biggest value? (a) 2\/9 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 65*f**2 + 35*f**4 + f**5 + 4*f**5 + 75*f**3 + 35 - 35 + 20*f = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/36 and -16\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-212)\/(-159)*(11\/22)\/(-166*1\/6)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wii when three letters picked without replacement from {i: 4, w: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -41.61?\nAnswer: -41.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -101844*s + 305529. Determine k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**4 - 507*w**3 + 111*w?\nAnswer: 36*w**2 - 3042*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/3 + 3704*c**4\/3 - 3470381*c**3\/3 + 74917366*c**2\/3 - 108103520*c - 325370976 = 0. What is c?\nAnswer: -2, 12, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -365, 0, -2839.\nAnswer: -2839, -365, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3309436 <= -6618871\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13916 and 980?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:56 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g + 38*g = 0. Suppose 3 + 1 = -2*s. Put -4, g, s in descending order.\nAnswer: g, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1569*i**2 + 10183173*i - 10183172*i.\nAnswer: 1569*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f + 18*f - 44*f in the form b + a*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (525\/196)\/(13\/(182\/(-12))) and 3\/(-6)*10\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 9. Let w be 0 - (-1 - (-3)\/2). Which is the biggest value? (a) m (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/343497989 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 21. Let v(k) = k**2 - k + 5. Calculate the lowest common multiple of w and v(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 3*n - 24. Differentiate 64*p**n - 42*p**2 + 4 - 4 + 28 with respect to p.\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -21*n - 1. Let v be b(-1). Suppose 0 = -2*l + 7*l - 150. What is the greatest common divisor of l and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 539775 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3*h**2 + 3*h + 4. Let s be p(-3). Let o(d) be the second derivative of -d**4\/12 - 7*d**3\/3 - 5*d**2 - 79*d. Is o(s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*m**2 + 25*m**2 - 34*m**2 + 33*m**5 wrt m.\nAnswer: 1980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1292 divided by 19.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 + 1385.\nAnswer: 1384.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 433 + 4?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:39 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3346*o**2 + 9273*o.\nAnswer: -6692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152184 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 209 (c) -3 (d) -4\/83 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341457 divided by 341457.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -79*l + 1559. What is x(25)?\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15004 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + -0.24. Let g(u) = u**3 + 7*u**2 - 2. Let j be -7 - 0*2\/(-8). Let w be g(j). Is w < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 9. Suppose 3*g = -g + 8. Suppose -4*z - 37 = -z - g*k, 5*z + 40 = -k. What is the tens digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2) - (sqrt(2) + -1)) + -2)**2 + 2 + sqrt(4)\/sqrt(2) + 5.\nAnswer: sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 4) - (5 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(4\/8) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54795859?\nAnswer: 131, 418289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -14. What is q rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230388.\nAnswer: 2, 3, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.028? (a) 2.4 (b) 3 (c) -6\/5 (d) 5 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 147588.\nAnswer: -5\/147588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.15 + 0.92. Which is the nearest to -1\/2? (a) 5 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3051*n**2 + n - 202 - 3*n + 2*n + 3058*n**2 - 2*n in the form a*n + l*n**2 + x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185 and 53254211?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -107441 > -107442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175381 divided by -1.\nAnswer: -175381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0*h - 1 + 4*h - 3. Let x(p) = p. Let n(m) = -4*m + 5. Let f(w) = n(w) + 5*x(w). Let o(q) = 1. Let y(v) = -f(v) + 6*o(v). Give 2*l(t) + 7*y(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 79*h**3 + 8*h**2 + 7*h - 2. Let o(t) = 52*t**3 + 5*t**2 + 4*t - 1. Let w(j) = 5*i(j) - 8*o(j). Calculate w(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)*v**(2\/21)*v)\/(v*(v**2\/v)\/v)**(-44))**(39\/4) assuming v is positive.\nAnswer: v**(48425\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90633549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 68 = -3*z + 4*v, -2*z = -4428*v + 4430*v - 38 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 4, j: 5, k: 1}. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyw when three letters picked without replacement from jvjtjwwyj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(40\/(-6))\/(-2). Suppose 5*w - i - 20 = 0. What is the tens digit of (-8)\/3*w\/(20\/(-159))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*o + 43*o + 17*f + 39, 4*o - 2*o + 2*f + 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffy. What is prob of picking 2 y and 1 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - 411?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556188 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28.15185 decades?\nAnswer: 3378.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 8225.\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739*r = 2*t + 1736*r - 1 + 3, 2*t + 4*r + 2 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -k + 163, -9*j + 12*j - 111 = -3*k. Let i be ((-1)\/(-2))\/((-7)\/j). Let q = 2 - 1. Put -7, 0.1, q, i in increasing order.\nAnswer: -7, i, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 7. Suppose 0 = 3*t - 4*v - 4 + 32, 0 = -2*t - 4*v - 32. Let i be d(t). Suppose 0*h - h + i = 0. Solve -c = -5*x - 6*c - 5, 5*x = h*c + 45 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 751 + 145 = 0. Suppose -5*b + 201 = -i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otoo when four letters picked without replacement from ooottooo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.5027 rounded to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002113 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1532\/5 - 308. Let f = -2171\/3 - -724. Let g = 4.3 - 4. What is the closest to f in 2\/3, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**4 + 21*y**3 + 478*y**2 + y + 469786.\nAnswer: 8*y**3 + 63*y**2 + 956*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + 2. Let t(w) = w**2 + 4*w - 1. Let r be t(q). Calculate the greatest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j*j**(-11\/3)*j**(1\/18)*j\/j**(-2\/9) assuming j is positive.\nAnswer: j**(-295\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/2 - 873*n**2\/2 + 84681*n\/2 - 2738019\/2 = 0. What is n?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -493\/5. Sort 3, l, 32.\nAnswer: l, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8069 divide 127062866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221713294*z**2 - 14*z**3 + 221713294*z**2.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -548, -1485, -3098, -5561, -9048?\nAnswer: -13733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*s + 33250 = -821*s + 1007*s for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/6)\/((-2)\/(-6)). What is the derivative of -21 - 4*j**3 + 13 + p wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278191?\nAnswer: 278191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 20. Give u(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 855414 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + o + 9 = -5*h, 0 = -2*h - 5*o - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let f be (-6)\/(-2) - 0 - 1. Let c(w) = 2*w**2 + 5. Let s(z) = -z**2 - 2. Let y(h) = f*c(h) + 5*s(h). What is y(a(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 34*y**2 + 30*y**2 - 13.\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -216*u**3 - 70*u**2 + 233*u + 2542 + 215*u**3 - 207*u wrt u?\nAnswer: -3*u**2 - 140*u + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -21210112?\nAnswer: 21202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d + 54 = -63*d. Let r(q) = -3*q. Let u(c) = c. What is d*r(k) - 10*u(k)?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*j + 2*p + 1, 10 = -2*j + 4*p. Let m = j - 6. Let f be m\/(-15)*3\/(-9). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 9*r**2 + 7*r + 4. Let z be t(8). Let x be ((-5)\/30)\/((-1)\/z). Which is the closest to x? (a) -3\/7 (b) 4\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1469 - 7\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/8 - 44439*t\/4 + 658274907\/8 = 0. Calculate t.\nAnswer: 14813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = 5*z - 483. What is the smallest common multiple of 9 and z*(2\/(-4) + 2)\/(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69.7 + 66. Let k = 3.7 + o. What is the closest to k in 6\/5, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**7\/2100 + f**6\/540 - f**5\/900 - f**4\/180 + f**3 - 1. Let n(b) be the third derivative of v(b). What is d in n(d) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130716915*f**3*i**2 - 2*f**3*i + 8*f**2*i**2 + 26*f**2*i - 292*f**2 - 2*f*i - 2 wrt f?\nAnswer: 784301490*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4 + 104*d**3\/3 - 138*d**2 - 626. What is z in g(z) = 0?\nAnswer: 0, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j. Let i(f) be the third derivative of f**5\/20 + 7*f**2. Determine t(i(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 24 = -4*a, 2*a - 22*y + 25*y + 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18548 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76020*o**5 - 40*o**2 - 14558712*o.\nAnswer: 1520400*o**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (387*a**4 + 313*a**4 + 2*a**4 + 966*a**4)*(3 - 2 + 0) in the form g*a**4 + y*a**3 + v*a**2 + w + q*a and give g.\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00715 and 382?\nAnswer: 2.7313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 13*y**2 - 6*y - 1. Suppose 4*v - 11 = -5*m + 7, 0 = 5*m + 10. Suppose -v*q + 36 = -q. Let z be j(q). Which is smaller: z or -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4210931 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-5 - 7))\/((-2)\/(-6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/8 + 21*f\/4 - 1053\/8.\nAnswer: 3*(f - 13)*(f + 27)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l + 1446 = 366 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 470033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.4 (b) -68 (c) -0.66 (d) 1 (e) -2 (f) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * -9.59733.\nAnswer: 1286.04222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -448680*f**2*s + 3*f**2 + 4*f*s + 9643014*s wrt f?\nAnswer: -897360*f*s + 6*f + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/3? (a) -5 (b) 5 (c) -4 (d) -10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3 + 17*j**2\/2 + 40. Find the second derivative of x(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdcgddkpkdddcdck. Give prob of picking 3 k and 1 g.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 3*i**2 + i + 536. Let g be p(0). Let n = g + -156. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17623 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from ddkdnkbdknokknk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127694700 divided by -36.\nAnswer: 3547075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 288\/54*(-9)\/6*2126\/(-7441)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92440 and 80.\nAnswer: 184880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 3*a + 0*a)*(40*a**3 + 13*a**3 - 4*a**3) - 3*a**4 + 4*a**4 - 2*a**4 as f*a**2 + y*a**3 + i*a**4 + b*a + s and give i.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 12. Let d(c) = -2*c - 214. Let t(a) = -d(a) + 8*z(a). Give t(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 9*o**2 - o**3 - 15*o + 11*o - 11. Is p(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-10)\/(-4)) - -1. Let a(s) = 14*s**2 + 1. Let k be a(c). Suppose -8 + 43 = 7*f. Solve 0 = -3*h + k, -f*t + 2*h = 23 + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 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: Simplify (n**(-3)\/n*n**(-11)*(n**(-3))**(3\/10))**(-39) assuming n is positive.\nAnswer: n**(6201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1206861167.99999951 - 1206861236. Let p = -4 + -64. Let k = b - p. Round k to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 - 3.3069. What is j rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiii when four letters picked without replacement from fzifzzizfiiffzz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35029, -35026, -35023?\n\"Answer: 3*k - 35032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 219*l**2. Let d(b) = -2*b**2 - 43*b. Determine d(n(r)).\nAnswer: -95922*r**4 - 9417*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:19 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddrf when four letters picked without replacement from {d: 2, x: 3, u: 1, k: 1, r: 3, f: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663062?\nAnswer: 2, 3, 277177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 5*a - 7*a + 4*x, -2*a + 2*x = 322. Let i = 1310 - a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1496 + -1027. Suppose 0 = 4*p + s - 477. Factor -6 + 9*k + 3\/4*k**3 - 9\/2*k**p.\nAnswer: 3*(k - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -398\/5. Which is the nearest to -2\/5? (a) l (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408\/(-56) - (-28)\/12*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 320?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 931 and 0.199.\nAnswer: 185.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -643544*f + 3861293. What is d(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, -596, 0.054 in ascending order.\nAnswer: -596, -5, -2\/9, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3547710*m**2 - m + 3817526.\nAnswer: 7095420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5149912 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 82249?\nAnswer: -1\/82249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(150\/64) - 320\/2400.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46381\/16 + -2894. Find the common denominator of 50\/(-36) + 2 + 2 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -711000600.4 + 711000536.999999381. Let n = f - -63.4. What is n rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*k + 44*k - 138*k**3 - 561*k**3 + 193*k.\nAnswer: -699*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -1*sqrt(2)*-2)**2 - sqrt(4)\/(sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 + 2. Let x be h(6). Find the third derivative of 3 - 2*j**6 - 3*j**x - 3 + 0 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4077642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 5*t**2 - 6. Let d(k) = -4*k**3 - 5*k**2 - 6. Let x(o) = 4*d(o) - 5*w(o). Let n(z) = -z**3 - 12*z**2 - z - 7. Let j be n(-12). Give x(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 0.18. Let w = v + 0.49. Suppose 71*g = 11 + 273. Which is the closest to 2? (a) -4 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 + 0.43. Suppose -55*v - 60 = -75*v. Which is the nearest to 2\/37? (a) q (b) -1\/6 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.064, 4\/5, 2, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/4)\/(-7)*-4. Let x be (0 + 1)\/(d\/(-6)). Which is smaller: 3\/4 or x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/15 + ((-4189408)\/(-800))\/((-2)\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1927 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c71c4 - -9?\nAnswer: 4c7200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 285752 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -116\/7 - -16. Let k = -14\/5 + 107\/15. What is the biggest value in k, 4, 2\/5, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 9. Let l(r) = 2*r + 12. Let c(p) = 3*l(p) + 4*t(p). Let y(j) = -32*j - 2. Determine y(c(a)).\nAnswer: -64*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14412 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*m - 137*m = -4*q - 26, 0 = m + 5*q + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is 190884330 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p - 143. Determine k(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 145 = 2*o, 31*f - 5*o - 296 = 566 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -1604200 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 3*t**3 - t**3)*(-4 + 4 - t)*(-7 + 3 + 3)*(-4 - 1 + 3).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (9*(3 + -4))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/36 and 113\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-82) + 87 + -129 + (-560)\/(-287)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:37 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 - 7. Let g be w(-3). Let b = -0.1 + -0.28. Let t = b + -0.02. What is the third biggest value in 5, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 61, -0.3, -3, -1\/195, 4 in descending order.\nAnswer: 61, 4, -1\/195, -2\/7, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = 5*f, -3*f + 2*z + 2 = 2*f. Calculate the remainder when (36\/(-15))\/(f\/(-120)) is divided by ((-3480)\/(-180))\/(4\/18*3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = 4*s, 577*f = 575*f - 15*s - 50 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*s + 3 + 12, -3*s - 20 = -g. Suppose 3*d = -3*l + 3, -d + g = d - l. Let o be -2 + d - (-1 - 2). Put -4, -11, o in increasing order.\nAnswer: -11, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + ((-2)\/58 - 493810\/12673)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15716 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1955822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102024 + 10363?\nAnswer: 112407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1389*u**4 + 2*u**3 - u**2 - u - 4717154?\nAnswer: -5556*u**3 + 6*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -552 + 545. Which is the second biggest value? (a) y (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x - 36. Let z be 3\/x + (-4790)\/8. Let y = -332 - z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 - 485*g**2 + 14555*g - 126075 = 0.\nAnswer: 15, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -58\/931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2421 = -25*o + 112496. List the prime factors of o.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 1 + 11. Suppose v + 21 = 2*y, 5*y + 5*v = k*v + 57. What is the remainder when (-1 - -2)\/1 - -19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2 + (-14)\/(-8)). Let h = -1.4 - -1.88. Let n = -0.02 - h. Which is the closest to 0.1? (a) p (b) 1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 6}. Give prob of sequence ixx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 + 259. Let x(r) = 99*r**2 - 51*r**2 - 49*r**m. Let k(v) = -3*v**2 + 2*v. Let g(b) = 48*b**2 - 33*b. Let i(a) = 2*g(a) + 33*k(a). Determine x(i(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.416 minus -0.0599?\nAnswer: -1.3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -52, -14, 96, 302, 628?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:59 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 28*o**3. List the prime factors of p(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 3:05 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 796 = 736. Let b(g) = -4*g**3 - g**2 + 2*g + 3. Let c(a) = 7*a**3 + a**2 - 3*a - 5. Determine t*b(s) - 3*c(s).\nAnswer: -s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*v - 12170*f + 233*v wrt v?\nAnswer: f + 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**3 + 4*x**3 - 2*x**3)*(6 - 13*x - 6) to f*x**4 + y*x + j*x**3 + n*x**2 + l and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {q: 2, w: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 601 = 56*r - 101 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.21 and 58.\nAnswer: 57.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(6*(-1 + sqrt(80)*-2 - sqrt(80)) - -6*(1 + sqrt(80) + -5 - sqrt(80)))**2.\nAnswer: -321840 - 51840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -66*d. Let y(a) = -85*a. Determine y(i(o)).\nAnswer: 5610*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 11. Solve -4*f = 4*n - 4, -p*f - 3*n - 35 = -6*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r + 1\/180*r**5 + 0*r**3 - r**2 - 1\/36*r**4 + 0. Find l such that g(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -147, -174?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18041554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/29 and -59\/1466.\nAnswer: 42514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17023?\nAnswer: 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - 177. What is k(30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163359*l + 163151*l - 191 = 5217 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 85*l**3 + 4*l - 3. Suppose 0 = -22*o + 17*o + 15. Let t be (-5)\/(-4) + (o\/(-12) - 0). Is w(t) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 - -0.27. Let f be 2\/((-4)\/14 - 70\/98). What is the nearest to z in f, 2, -0.019?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 5, -92 in descending order.\nAnswer: 5, -40, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -9, 0.3, 0.2, 4\/5, -481?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 662*r - 400. Let u(h) = -331*h + 201. Let b(x) = 5*u(x) + 2*z(x). What is the derivative of b(i) wrt i?\nAnswer: -4*i - 331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73875*l**3 - 4*l - 6715.\nAnswer: 443250*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332883415 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*n + 126. Let u be (2\/(-5))\/((-2)\/n). Let a be u*4*1\/6. What is the second biggest value in 0.4, a, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 + 8 = 0. What is the tens digit of (k - -19)*(1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 935583\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601938 by -157.\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.48\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5137 - 20547\/4. Let k = -2 - -2.1. What is the nearest to -6 in n, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -0.0855?\nAnswer: 12.0855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvznuquvvvfuvvvvunu. Give prob of sequence nu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15700, -15692, -15678, -15658, -15632, -15600?\nAnswer: -15562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o + o)*(2988*o + 511*o**3 + 24 - 5972*o + 2*o**2 + 2984*o).\nAnswer: -1022*o**4 - 4*o**3 - 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6)*(-132)\/18. Suppose -5*u - 6 + z = 0. Let n(i) be the first derivative of -17*i**4\/4 + 2*i**3\/3 - i**2 + i + 1. Determine n(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 - -1.79. Round y to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -6 + -3 + 0. Suppose 3*j = -0*p - 5*p + 35, -3*p - 2*j = -20. Let t be (8\/p)\/((-6)\/75). Is c smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5873)\/63 + (-8)\/(-36). Let o = -839\/9 - f. Let i = 0.5 - 0.8. Which is the third smallest value? (a) o (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) -0.5 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s = 24*s + 15. Suppose 29 = -4*n + s*w, -19 + 5 = n - 3*w. Let p = n + 10. Solve -p*a = 11 + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 18, t: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 159?\nAnswer: 8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33046 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144206 is divided by 4789?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let p(a) = -93*a**2 + 1238*a + 7. What is p(r(k))?\nAnswer: -93*k**2 - 1238*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 3*p**2 - p - 2. Let l be j(-2). Let y = -11 - l. Is 1\/3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25433576, 50867153, 76300730, 101734307, 127167884, 152601461?\nAnswer: 178035038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -0.6 (c) -2\/19 (d) -322 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 4*f**5 - 2*f**5 + 0*f**4 + 0*f**4 + f**5 + (4*f + f - 6*f)*(4*f**4 + 0*f**4 - 3*f**4) + 4*f**5 - 2*f**5 - 3*f**5 - 14*f + 14*f - 10*f**5.\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 11:18 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-5)*(-255)\/12. Let s = i + 280. What are the prime factors of s?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.347 - -0.488. Let z = -439353 - -439352. Is u at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12738 and -137\/3029664.\nAnswer: 584725152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-8)*(5655\/6)\/65.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10351*p**5 + 4*p**3 + 26329*p**2?\nAnswer: -621060*p**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/847 - 38\/66\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61191.\nAnswer: 3, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -63. Put 0, 4, i in decreasing order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255558 = 7340*n - 324302 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 2*q**3 - 2*q**2)*(2 - 3 - 1)*(0*q - 5*q + 3*q - 3 + 2*q + 3 + 2*q + 0 + 0 + (-1 - q + 1)*(-3 + 4 - 3) + q - 1 + 1)*(36 + 12 - 8).\nAnswer: -800*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -169 in 1\/4, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8039 and 342?\nAnswer: 2749338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0337 - -233.0337. Let u = i - 197.6. What is u rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 162 = 3*y - 214 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 2*m**2 - 7*m**2 - 11*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79693 (base 11) to base 3.\nAnswer: -12212011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let m(y) = -3*y**2. Let q(j) = -j**2 + 2. Let h be q(2). Let v(f) = -2*f - 9. Let c be v(-6). Let t = c + h. Give t*m(n) - 4*b(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + 19. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648806 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 14. Let h(k) = k**3 + 7*k**2 + 8*k + 3. Let u be h(l). Solve u = 2*m + b, 3*b - 8 = 3*m - b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 3)\/(8\/(-6)). Sort -4, p, 0 in descending order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 9*a**7\/35 - 3*a**5\/5 - 2*a**4\/3 - a**3\/3 + 27*a**2. Factor m(r).\nAnswer: 2*(r - 1)*(3*r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 15596?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -7. Let k = 1 - 4. Which is the nearest to -0.1? (a) y (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 13*s - 23*s + 112392 = 0. Does 41 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*a = 6, -33*r = -29*r + a + 31 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -518*(-540)\/13320*(-2)\/91?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r + 30*r + 36*r + 21*r - 121*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*v. Which is the closest to v? (a) 1 (b) 5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929320393 to the power of 1\/2, to the nearest integer?\nAnswer: 30485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349081213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3767921462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i - 4*n + 80 = 0, -4*i - 5*n + 84 = 0. Let o = i + -9. Let h be 3 - 3\/9*o. Sort h, -3, -0.2 in decreasing order.\nAnswer: h, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c. Let p(x) = -5*x. Let g be p(-2). Suppose g = 7*h + 3. Let s be w(h). Solve -b + 12 = -3*l, s*l + b = -4*b - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 10*c**2 - 2*c - 2. Let d be i(-10). Let t = d - 5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*m**2 + 2*m**3 + 67*m**2 + 68*m**2 to w*m**2 + r*m + s*m**3 + f and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 - (-8)\/(-20). Let l(o) = o**p - o**2 - 4 - 2*o + o**3 + 4*o**2 - 5*o. Let y be l(-5). Calculate the highest common divisor of y and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 849 - 845. Suppose -20 = z - 5*z. Differentiate 1 - z*t - c - 6 wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*o - 74348 + 7952. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -795*p*s - p - 3*s + 321 wrt s?\nAnswer: -795*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -584485, -4, 3 in decreasing order.\nAnswer: 3, -4, -584485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2 (b) 135 (c) -2\/25 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(343) + 1)**2 - sqrt(343)).\nAnswer: 42*sqrt(7) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425779 is divided by 23646.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*(k*k**(1\/6))\/k*k*(k**8\/k)\/(k*k\/((((k\/((k*k\/k**(-2\/17))\/k*k))\/k)\/k)\/k*k)))**(-2\/157) assuming k is positive.\nAnswer: k**(-719\/8007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-46))\/(4*6\/(-48)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4311940 and 862388?\nAnswer: 4311940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*i + 15, 4*i = -5*y - 20 + 5. Let d be y - ((1 - -1) + -7). What is the greatest common factor of d and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u + 526038 = -71*u. Let n(z) = -u*z + 87673*z + 0*z**2 + 7*z**2. Let d(h) = -h**2 - 1. Let i(s) = -3. Let w(c) = 3*d(c) - i(c). What is n(w(a))?\nAnswer: 63*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - (1 - -5)) + 252\/5 + 3. Sort -4, -3, x in ascending order.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2 (b) -0.3 (c) 142 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*x = -17, -3*z + 0 = -4*x - 23. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2546*t + 3141*t - 1 + 3554*t + 1)*(2*t**4 + 5*t**4 - 5*t**4).\nAnswer: 18482*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 5*k**4\/12 + 7*k. Let j(n) be the third derivative of 22*n**5\/15 - 2*n**2 + 5210. What is j(h(i))?\nAnswer: 2200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105200 is divided by 1910?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20012022102 (base 4) to base 2\nAnswer: -1000000110001010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*c - 136, -c + 0*c = j + 29. Let f be ((-27)\/63)\/(2\/c). Solve -4*q - 2 = -f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/9, 4, 15, -2, 21\/5, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1741 is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -9*b - b - 208. Calculate the highest common divisor of 284 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*t + 259 = -2*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -574.7 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**3 - 27*k**2 + 29*k**2 - 32 - 22*k**3 - 10*k**3 - 2*k**3.\nAnswer: 20*k**3 + 2*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - 22?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. What is the nearest to -1\/3 in -2\/9, 0.4, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9380 divided by 1345\nAnswer: -1876\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-122)\/(-5) + 10\/(-25). Solve -q - 3 - 1 = 0, z = l - 5*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = 2*t + 11, -16 = 4*t. Suppose -2*s = s + 4*j - 20, c = 2*j - 10. What is the second derivative of -h + 2*h + s*h + h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 8*u**2 + 8*u - 29. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**2 + 29*z - 29*z + (z**2 + 3*z**2 - 3*z**2)*(-475 - 522 + 951).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + (-4 + sqrt(405) + 0 - ((sqrt(405) + sqrt(405)*1)*5 - sqrt(405))) + 2))**2.\nAnswer: 3456*sqrt(5) + 103824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139099828 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1099*l**2 + 434*l - 15. Let r(u) = -2198*u**2 + 869*u - 25. Let d(y) = -3*r(y) + 5*w(y). What is the second derivative of d(k) wrt k?\nAnswer: 2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 10*c - 3. Let n be l(-7). Let v(i) = n*i**2 - 15*i**2 - 62*i + 48*i - 31. Is v(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 8*p - 6. What is the closest to -0.1 in -3, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(-6 + 0 + 2)*(-3*k + 2*k + 6*k) as z*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71597 + 71600. Let 5\/7*u**4 + 1\/7*u**5 + 5\/7 + 1\/7*u - 10\/7*u**2 - 2\/7*u**x = 0. Calculate u.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 4*i + 6. Let z(x) = -x + 1. Calculate -b(a) - 2*z(a).\nAnswer: a**2 - 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*s - 27216 = -31*s. What is the highest common factor of s and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 26 = 4. What is the hundreds digit of (-712)\/20*(b\/(-2))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2579 or -394534\/153?\nAnswer: -2579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4816\/6 - 34\/51 - 3?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nis when three letters picked without replacement from {i: 1, n: 7, k: 1, s: 9}?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i)\/(i*i**(-6))*(i*i\/i**1)**(-22)*(i**(-1\/3))**(-3\/7)\/(i*(i*i*(i*i*i*i**1*i)\/i)\/i*i\/(i\/i**(-7))) assuming i is positive.\nAnswer: i**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33129 (base 10) to base 11.\nAnswer: 22988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - -20768?\nAnswer: 20734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 + 147*r**2 - 26*r + 420. Calculate q(-37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(-7)\/28\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by -6.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 20. Let m be d(-8). Solve -3 + m = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22 - (-30 - -19))*(6\/(-11))\/3. Sort -44, r, -5, 5, 0 in descending order.\nAnswer: 5, r, 0, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + 0.25. Let i = 12.7 + -112.7. Let f = 99.6 + i. Sort k, f, -0.3, 2.\nAnswer: f, -0.3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**2*m - l**2 - 381*l*m wrt l?\nAnswer: 16*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 - i**2 - i - 2. Determine f(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1001 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -124*s**3 + 73*s + 1014. Let r(z) = -25*z**3 + 14*z + 203. Let b(k) = -2*l(k) + 11*r(k). What is the derivative of b(i) wrt i?\nAnswer: -81*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 88. Determine d(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(((-396)\/(-16))\/11). Let y(x) be the second derivative of 0*x**2 + 0 + 5\/12*x**4 - 7*x + v*x**3. Find the second derivative of y(j) wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 104 = -4*h, 2*y + 5*h + 9*h = -11*h + 19*h - 28 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 63 = 83*d + 199. Let i be (2\/4)\/((-1)\/(-2)). Let y = i + -2. What is the nearest to y in -0.2, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/(2955\/1182).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*b + 0*b + 389 = 0, -4*b = 4*t - 1576. Calculate the highest common divisor of 57 and t.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 9*t + 11*t + 4*t in the form m + g*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 8) + -11 + -1 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 2, n: 1, g: 1}. Give prob of picking 1 x and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/3 - (8\/4)\/1. Calculate the greatest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 321210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 12, -1, 2\/7, -38?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 3:39 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h**3\/5 - 68779*h**2 - 1407893848*h\/5 + 67043344\/5 = 0.\nAnswer: -8188, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -301.\nAnswer: -1\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l - 3. Let k be r(3). Suppose -4*a = 4*n - 420, 5*n = -2*a + k*a - 123. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 8*v + 7. Let g(k) = -3*k**2 - 16*k + 12. Let y(m) = -m**3 + 3*m**2 + 7*m - 9. Let l be y(4). Let f(b) = l*g(b) - 5*d(b). What is f(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3373995 and -58\/129?\nAnswer: 3373995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4421975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 684060732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s - 1. Let n be j(0). Let l = 3.854 + -1.854. Which is the nearest to l? (a) 3 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:50 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-210)\/(-63) + 2\/3. Suppose 3*x - 1647 - 463 = -g*s, -x + 4*s + 730 = 0. List the prime factors of x.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 146*b - 147*b. Suppose 0 = -2*t + 5 + 1, -5*t = -b*m - 11. Suppose -4*s = 0, i - 4*i - 4*s + 24 = 0. What is the lowest common multiple of i and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667, -668, -669, -670?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -137, -144, -157, -176, -201, -232?\n\"Answer: -3*t**2 + 2*t - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -76, -87, -100, -115, -132, -151?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -59*r - 237. Let b be u(-4). Let d(x) be the third derivative of -7*x**4\/6 - x**3\/6 - x**2. Determine d(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 4:56 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let y = 25 + -17. Suppose 5*c - y = 2. Solve i = -p + f, -i - 8 = -2*i + c*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87830217 divided by 9?\nAnswer: 9758913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-24)\/(-84))\/(4\/7). Let q be (2 + 0)*(-1)\/(-2). Solve -j + 1 = h, -2*j - l = 4*h + q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 25. Let x be (-1)\/(1 + 18\/i). Suppose -44 = -4*a - 4*h, 0*h + 4*h = 2*a - 46. What is the highest common factor of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*v = 130, v = -y + 42 + 16. Let h(k) = k**3 - 10*k**2 - y*k - 8 + 3*k**2 + 115*k - 45*k. Let m be 22\/4 - (-3)\/6. Give h(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1238 and 2310727?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let k(g) = -18*g - 110. Suppose -2*w + 47 = 59. Let i be k(w). Sort u, -4, i in increasing order.\nAnswer: -4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 v, and 1 o when four letters picked without replacement from {o: 4, m: 10, a: 1, w: 2, v: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43293*-1.\nAnswer: 0.43293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-25)*a)\/a*a**(-3\/2))**(4\/3) assuming a is positive.\nAnswer: a**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 16513 - 6*p - 3*p + 6*p.\nAnswer: -2*p + 16513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-14) + (-880)\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-640) - (-239)\/5)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122397 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 196 = 680. Solve s - y*s - 42 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*m - 20 = 0, -124*m - 8 = -2*a - 120*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(76) - 2*sqrt(76) - sqrt(76)) + 1) - ((sqrt(1539) - -1*sqrt(1539)*5) + 2 + sqrt(19) + sqrt(76)\/sqrt(4) + -1).\nAnswer: -44*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24521*t**3 + 1771*t + 431061973?\nAnswer: 73563*t**2 + 1771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 43*s - 836. Let g be t(20). Solve -g = -3*i - i + 4*h, 3*i = -3*h + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/1 + 60\/12. Calculate the greatest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*j - 1372*b + 22*j with respect to j.\nAnswer: 4*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**3 - 136*p**3 + 111*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 + 2*g**2 + 2*g**2 - 2*g**2 - 2*g**2 + 3*g**2 + (0 + 5 - 4)*(4*g**2 - g**2 - 5*g**2) - 4*g**2 + g**2 + g**2 + 3*g**2 + 0*g**2 - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600 less than -0.1?\nAnswer: -2600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5216359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**3 - 1257*x**2 - 2535*x + 3789 = 0?\nAnswer: -3, 1, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24989 + 68533 = 6*q. Let k = 22417 - q. What is k rounded to the nearest 100?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/36 and 19\/23992.\nAnswer: 215928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-25)\/(-10))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4 + m + 0 + 1. Let w(g) = -g - 4. Suppose 5*c - i - 30 = 0, 0*c + 2*i = 4*c - 30. Suppose -12 = 9*q - c*q. Determine q*r(v) - 4*w(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1)\/(t\/((t*t**27\/t*t)\/t)) assuming t is positive.\nAnswer: t**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -46. Suppose p - 61 + j = 0. Suppose 4*n - 4 = -4*c, -3*n + 5*c = -0*c - p. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.64 + 24.2. Let r = z + -0.84. Let x = r + -51.9999922. What is x rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 13. Suppose -84 = -2*j - 92. Calculate the remainder when 33 is divided by s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*s = -4690, -2*v = -6*v + 5*s + 9390. List the prime factors of v.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w + 1. Let m(v) = -267*v**2 + 3 - 2*v + 259*v**2 + 5*v. Let s(l) = -3*c(l) + m(l). Let k(p) = 7*p. Calculate k(s(x)).\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = s - 0. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 837, 2814, 6663, 13008, 22473?\nAnswer: 35682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22*y. Suppose -2*f - 27 = 5*v, -26 = f + 3*v + 2*v. Let j be w(f). Suppose p + 7 = j. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(38)*3)\/((-2*sqrt(20))\/sqrt(10))*-5)**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45539 and 1.\nAnswer: 45539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22561 + -21939. Which is the third smallest value? (a) 1 (b) p (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 21 - 42. Let k(j) = -6 + 18 + 5*j**2 - 7 - 8 - j**r + 2*j. Determine k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 23, -1, -1\/3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1087, -2159, -3223, -4285, -5351, -6427, -7519, -8633?\n\"Answer: -n**3 + 10*n**2 - 1095*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 7384.\nAnswer: 22152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -56612425?\nAnswer: 56612424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = -s + 5*j + 16, 4*s - 36 = -2*j for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27715450 a multiple of 3339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 64. Suppose -u*l = -l + 413. Is 0 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + -2.8. What is the biggest value in i, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39333?\nAnswer: 3, 7, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-698841)\/2172 - -325) + 0 + (-58)\/72?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c**2 - 24*c + 165. Let n be k(7). Let s = 1401 - n. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4001960\/1059 - -3779. Let t = -5222 + 5221. Is t less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d - 2*d, -4*y + 7 = -3*d. Solve q + 0 + 8 = 4*h, 2*h - 3*q - y = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((18\/(-3))\/2)\/(-1). Let h = -24667 - -24666. What is the nearest to 0 in h, j, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let x = w + 1. Suppose -x*s + 50 = 3*s. Solve -5*i + 10 = 5*h, i = -4*h - s + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4379*h - 9. Let d(p) = -2*p - 3. What is -6*d(f) + 2*w(f)?\nAnswer: -8746*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5125690.\nAnswer: 2, 5, 512569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -1.\nAnswer: -2, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + l - 1, -2*l - 6 = 2*y + 2. What is the lowest common multiple of (8 - (2 - 1))\/y*-8 and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-8 + 26 + 22)*(4*x + 0*x - 3*x) - x - x - 8 + 3*x)*(2*x - x - 3*x) to h*x**2 + z + l*x and give h.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) -1\/8 (c) 4\/25 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -141 in 3\/4, 4, 0.5, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 210, 11 in descending order.\nAnswer: 210, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m - 110*j + 208*j - 99*j = -88, -5*m + 5*j + 220 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 10. Suppose 0 = -91*x - 862 + 316. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1113 and 218625?\nAnswer: 1530375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-1) + -3)\/((-3)\/177) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s + 3. Suppose -9 = -v + s*g, v + 3*g + 6 = -0. Let c be (-1)\/(-6)*v - 0. What is the closest to c in -4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(20)\/sqrt(5)) + sqrt(38))\/sqrt(2) - (-1 + sqrt(19) + -2 - sqrt(133)\/(sqrt(7) - (sqrt(28)\/sqrt(4) - sqrt(7)))).\nAnswer: 3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-1)\/2). Let y = 1347 + -1339. Suppose -v = -d*v + y. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*z = -22 - 69, 0 = -5*a + 2*z + 153. Calculate the remainder when a is divided by (-369)\/(-33) - 10\/(-55)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((2 - 10)\/8). Solve d = -4*f - z, -f = -5*d - 4*f - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a + 1. Suppose -7*o = -4*o - 6. Let t be i(o). Let j = 9 - t. Solve j*d + 1 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -29. Let c = r - -61. Suppose 4*u - c = -u, -4*n + 5*u = 21. Solve 0*j - n = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/60 - 2*j**5\/35 + j**4\/21 + 4*j**2. Factor v(z).\nAnswer: -2*z*(z + 2)*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - -28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 6*q**2 + 18*q + 9. Let f(r) = -2*r**2 - 3. Let j(h) = -3*f(h) - l(h). Factor j(k).\nAnswer: -2*k*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 104.229?\nAnswer: 521.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*n = -2*n + 7*n - 2*g - 31, -4*n + 36 = -2*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 508, -4 in ascending order.\nAnswer: -4, -1, 4, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18103 and -2.\nAnswer: 18101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910 = -89*j - 157*j + 64*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Let c(p) = -p - 1. Let i(g) = g + 10. Let y(q) = -18*c(q) - 2*i(q). Let u be y(1). Solve -4 = f, 3*f = -d*w + 2*f - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -23) + -3 + (2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s*s**(1\/9)\/s))\/s*s**(-1\/6)\/s)\/(s**9\/(s**4*s)))**(-14\/3) assuming s is positive.\nAnswer: s**(539\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/45515 + 92695848\/45515. Let o = -2022 + s. Which is smaller: 16 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1517645 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9456, -37421, -84018, -149241, -233084, -335541?\nAnswer: -456606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 11. Determine x(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 6. Which is the biggest value? (a) 3\/5 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t - 5*t + (37*t + 54*t - 24*t)*(-3 + 0 + 5)*(-4 + 0 + 42).\nAnswer: 5088*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8952 - 8950. Solve -z*h + 5*j + 15 = 2*h, -15 = 5*h + 5*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 152013 = 3*m, 0 = 5*m + s - 0*s - 253371. Let n(w) = 1593*w + 4. Let q be n(-3). Let o = q + m. Round o to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*m + 3815, 0*m = 5*m. What are the prime factors of p?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110623?\nAnswer: 83, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64647188.89 rounded to the nearest 100000?\nAnswer: 64600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*v + 16 = 0, 3*j - 2*v = 1 + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 + 7*v + 3. Let p(l) = -9*l**2 + 7*l + 4. Let b(r) = 6*p(r) - 5*s(r). Calculate b(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300)*3 + -5)*-6.\nAnswer: -360*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) -13 (c) 2\/9 (d) -429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 - 2187*d - 78. Give r(-51).\nAnswer: -5586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/262040 and -141\/560.\nAnswer: 3668560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 852426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/180 - p**4\/12 - p**3\/2 + 4*p**2. Let t(v) be the first derivative of o(v). What is the derivative of t(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -262\/5777 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-65)*(-20)\/(-50)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 10*s + 100 = 19*g, -3*s - g + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2 - 60*s + 59 = 0. Calculate s.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**2*j\/(j\/(j\/(j**(2\/13)\/j*j))))**(-4\/15))**(-13))**(5\/2) assuming j is positive.\nAnswer: j**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3 - 17828*c + 8917*c + c**2 - 4 + 8911*c. Let u(l) = -l**3 - 5*l**2 - 5*l + 8. Determine -6*q(i) - u(i).\nAnswer: i**3 - i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -f - 2100 + 254, 5*y - 20 = 0. Let k = f - -5271. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j. Let t(m) be the first derivative of -m**5\/30 - 3*m**2\/2 + 17. Let a(o) be the second derivative of t(o). Determine u(a(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891592 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2744 and 117\/85064.\nAnswer: 85064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 - 7*f - 8. Let d be h(-3). Which is the biggest value? (a) 0.3 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))\/h)**(2\/25)\/(h**(-7)\/h*h**(1\/7)) assuming h is positive.\nAnswer: h**(4139\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4739 - -75849\/16. What is the common denominator of c and -17\/1268?\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*m - 17 = 0, -5*x + 0 = 4*m - 21. Suppose 3*v + 0*s - 70 = -x*s, -3*v + 2*s = -56. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/8)*d*d**(-11\/4)*d*d*d*d**(-14)*d**(-6) assuming d is positive.\nAnswer: d**(-155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1765 (base 9) to base 4\nAnswer: -111023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 4) to base 11.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -342*k - 4 + k**3 + 342*k + 9*k**2. Calculate h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5 + (2 - 1 - 3)*(1 - 2 - 1) + 2 + 1 - 5)*(4*q + 7*q - 18*q)*(4*q + q - 2*q).\nAnswer: -105*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00271315899 to 5 dps.\nAnswer: 0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/118 + -281\/1062. What is the closest to n in 5\/6, 0.6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:57 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163581 + -12836?\nAnswer: -12835.836419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 716*p - 6174. List the prime factors of k(41).\nAnswer: 2, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 15. What is the remainder when h is divided by (98\/(-6))\/(5\/(-15))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 30051*c + 149895. What is f(-5)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k - 67. Determine o(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -0.02 (c) 0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287019577.\nAnswer: 13, 293, 75353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 6359c1?\nAnswer: 6359b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2 = 5*i. Let d(m) be the second derivative of -1\/12*m**4 + 0*m**i + 4*m + 0 + 0*m**3. Let l(x) = -4*x**2. What is d(l(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -a - 4*s + 7, -53 = -4*a - s. Suppose a*g - 52 = 8. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*r + 96*r + 94*r + 82*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 25. Let n be p(-3). Suppose 5*a - a = n. Let s = 10 - 5. Calculate the highest common divisor of a and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 4 = 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - -1) + (9 + 18 - 22) + -4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 7. Let f be 36\/15 + (-6)\/15. Suppose -f*y = 2*d - 84, 4*y - 348 + 135 = -5*d. Calculate the remainder when d is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38\/13, -2, 1, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n\/n**0)\/n*n))\/n)**(-1\/12))**(30\/11)\/(n**(-1\/4)*n\/(n\/(n*n\/(n\/n**(2\/27)*n))))**(2\/19) assuming n is positive.\nAnswer: n**(281\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14041246 and 18.7.\nAnswer: -14041227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -237, 1024, 2283, 3540, 4795, 6048, 7299?\n\"Answer: -r**2 + 1264*r - 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 5*h - 4*h + 6*h. Let y(b) = 2*b. Let v be (116\/(-20) - -3)*5 - 0. Give v*y(x) + 3*q(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21300.4 decades?\nAnswer: 2130.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -586*i**6\/15 + 6721*i**3\/6 - 2933*i**2 + i + 3. Differentiate c(d) with respect to d.\nAnswer: -14064*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1540 and 48170.\nAnswer: 7418180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**2 + 14 + 0*s**4 + 0*s + 4*s**3 - 18\/5*s**5. What is the third derivative of i(b) wrt b?\nAnswer: -432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510615609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4417*t**2 + 4481*t**2 - 8868*t**2 + 2 + 6 + 2.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifiykyba. Give prob of picking 1 k, 1 f, 1 b, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*s**3 + 6*s**2 - 2449*s - 1?\nAnswer: -336*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-799*j**2 + 799*j**2 - 25*j**3 + (-j**2 + j**2 - j**2)*(0*j + 6*j + 0*j))*(-2*j**2 + 2 - 2).\nAnswer: 62*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/8 + -2)\/((-1976)\/(-2696)). Let d = -15\/26 - q. What is the second biggest value in 2, d, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8400*a + 67201. Give u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/(-144)*(10 + 384\/(-40)) and 109\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p**2 - p. Let y be f(-1). Let q(w) be the second derivative of w**5\/20 + 3*w**4\/4 - w**3\/2 + 3*w**2\/2 + 2*w. Does 15 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2 - (5 - 2)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 2*w**2 + 4*w - w - w**3 - w - 1 to the form l + q*w + b*w**2 + i*w**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/40)\/((-15282)\/(-270) - 41). Let a be (((-4)\/2)\/(-6))\/(-1). Which is greater: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:48 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-11 + (-7 - -16 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1213*p + 329. Let t be o(23). Is (t\/(-16))\/((-8)\/32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141.\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from luuwuucuiuqwuuu?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74360748 + -3?\nAnswer: 74360745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264899 - 164639 = 8694*t - 55696 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8252*h + 5794. What are the prime factors of k(6)?\nAnswer: 2, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t + 2 = 0. Let u = 2 + t. Let p(o) = o + 1. Determine p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 21 - 9 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 15*d**2 - 25*d + 15. Let x be f(-13). Suppose -1344 = 5*c - 6*c + x*o, c = -5*o + 1323. What are the prime factors of c?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180)*1)**2 - (sqrt(495)\/sqrt(176))\/sqrt(9).\nAnswer: -sqrt(5)\/4 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:12 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 1, p: 2, m: 4}. Give prob of picking 3 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426 - 432.13. What is w rounded to one decimal place?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 20*h**3\/3 - 47*h**2\/2 - 7550. Let w(d) = 4*d**2. What is a(w(c))?\nAnswer: 320*c**4 - 188*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 6*s**2 + 9. Let z(a) = a**2 - 1. What is -q(m) - 4*z(m)?\nAnswer: 2*m**3 + 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 456\/144 + (-1)\/6. Solve v = -i*l + 5, -5*l = 5*v - 2*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101110 (base 4) to base 16.\nAnswer: -2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30150 and 6690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 20*d**2 - 45*d + 53. Let t be w(-22). Suppose -80*q + 2355 = -t*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 563\/3 + -187. Put c, 1\/3, -0.05 in increasing order.\nAnswer: -0.05, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -623 - -637. Let t be (-6 + 105\/d)*36. Calculate the greatest common factor of t and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (4 + -1 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*u**2)*(7*u + 0*u - 2*u) + (-2*u**2 + 4*u - 4*u)*(4*u + u - 3*u).\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/12)\/(-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from ininpnpn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7. Is s(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 20 = -2*s - 25*h + 51*h, -5*s - 2*h = -44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 2. Let g = -8.3 + x. Let r = g + -0.7. Which is the biggest value? (a) -0.4 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034, 1033, 1032, 1031, 1030?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -1777\/701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3383 = 7*z + 3278 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19504)\/26818 + (-412)\/(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n - 3*n**2 + 6*n + (0 + 0 - n)*(0*n - 2*n + 0*n) + (-6 + 7*n + 6)*(-n - 14*n + 2*n) as o + j*n**2 + m*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -212?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 9*m**2 + 8*m - 2. Let g be o(-10). Let a = 3 - g. Let k = a + 15. Round k to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*m - 665*l + 661*l, -4*l = -m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -26*q**3 + 6*q**2 + 5. Let j(v) = -53*v**3 + 13*v**2 + 11. Determine 13*f(l) - 6*j(l).\nAnswer: -20*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n + 11. Let u(p) = 2*p - 4. Let y(x) = -4*k(x) - 11*u(x). Let c = 18 + -3. Let a(q) = -19*q + 42*q - c*q. What is a(y(m))?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 66*f**2 + 1. Calculate t(33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*s**3*x - 329743*s**3 + 237406*x - 5 with respect to x.\nAnswer: -10*s**3 + 237406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 6*g = -16. Calculate the least common multiple of 2 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*k + 16 - 17, 2*y - 8 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4842618m?\nAnswer: 484261800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-11) + 0 - (-2)\/11. Let j(q) be the first derivative of q**2 + 2*q - 2. What is j(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-2\/61)\/(b**3*b**(2\/7)))\/(b*b\/b**(-5)*b*(b*b\/(b*b**6))\/b*b)**(-5) assuming b is positive.\nAnswer: b**(10011\/854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 195\/(-21) + (-2)\/(-7). Let o = 6 - t. Find the third derivative of 11*k**2 + o*k**3 - 17*k**2 - 14*k**2 - k**3 wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:48 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 5, g: 1, b: 4, r: 4}. What is prob of sequence brr?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -194*s**3 + 48694*s**2 - 3*s + 759. Calculate o(251).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-21)*-1)\/(10*10\/840)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*g = 91*g - 60. Let r be (-5 - -37) + 12\/g. What is the greatest common divisor of r and 720?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaet when four letters picked without replacement from atteteteeeataet.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146767968, -293535938, -440303908?\n\"Answer: -146767970*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 415\/488 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 - 18 - (2 - (1 - -285)) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12825 + 12822 - 17*s**2 - 25647.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-22))\/((-2)\/(-20)*15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 + 3*w - 5. Let z be q(4). Suppose -k - z*j + 4967 = -5*j, -4*j - 9894 = -2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -1.2. Let n = -0.3 + 0.2. Which is the nearest to y? (a) n (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + 76 - (-22 + -37)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 11. Suppose 3*i - 9 = 3*u, -2*u + 0*i - 3 = -i. Let x(b) = u*b - 68*b**2 + 0*b + y*b**2. Let w(a) = -14*a**2. Determine x(w(j)).\nAnswer: 392*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 193*-0.4\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**5 + z**2\/2 + 4. Find the second derivative of j(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -907, -1796, -2685, -3574, -4463, -5352?\n\"Answer: -889*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 88*g - 80 = 0. Suppose -2*y - g + 4 = -c, -4*y - 4 = -c. What is the closest to 8 in y, -2\/17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t + 46123 - 17523 = 13*t for t.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-6)\/(-32)). Let v be (-508)\/(-18) - a\/36. Suppose 5*d - 27 = v. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 50 = -25*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 14*t**2 - 1. Let x be i(14). Let h(c) = -12*c + 2. Let d be h(x). Let f = d - 11. Solve -7 = 3*l + 4*o - f, -2*l = -3*o - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 10. Calculate g(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1353.9*8\nAnswer: -10831.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55\/2 of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 338 and 624.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 41900382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1125))\/(sqrt(576)*-1).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 1269*k - 170744. Let t be q(-153). Factor -9\/5*g + 1\/5*g**t + 0 + g**3 + 3\/5*g**2.\nAnswer: g*(g - 1)*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110101 (base 2) in base 13?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 6)\/(-6)*-18. Let j(t) = -t**2 + t + 15. Let f be j(0). Let n be (-5 - -2)\/(f\/r). Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107717*g*k**2 + 27979*g*k - 279*g + 6*k**4 + 2*k wrt k.\nAnswer: 215434*g + 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 + (-1564)\/14. Let b(g) = 46*g**2 - 2*g - 3. Let d be b(2). Let c = d + f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1110*f**3 - 3*f**2 + 1. Let y be i(-1). Let r = y - -1991. Let a = 1405 - r. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {a: 1, m: 5, i: 4, w: 1, l: 3, o: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2*b - 1. Let c be p(2). Suppose 0 = 3*l + w - 2*w - 29, 0 = l + w - c. Calculate the lowest common multiple of l and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*k = -406*k - 313188. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Calculate prob of sequence uaba when four letters picked without replacement from {g: 1, a: 5, t: 3, u: 1, f: 1, b: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221110021000 (base 3) to base 11.\nAnswer: -312466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 97*x**4 - 190*x**3 + 2*x**2 + 191*x + 95.\nAnswer: -(x - 1)*(x + 1)**3*(x + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r + 2. Let b(n) = 30*n + 9. Let o(p) = 2*b(p) - 9*m(p). Let h(x) = 0 + 0 + 5*x. Determine o(h(z)).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -23*u + 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 117 = -3*i. Let k = i - 24. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**4 - j**3 + j**2 - j - 1. Let a(u) = 34*u**4 - 13*u**3 + 8*u**2 + 168*u - 7. Let d(w) = a(w) - 8*x(w). Find the second derivative of d(z) wrt z.\nAnswer: 216*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -562604.\nAnswer: -562605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 38864?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 238, 486, 734, 982?\n\"Answer: 248*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 18 + (9 - 18) + -3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -23, -30, -29, -14?\n\"Answer: y**3 - 5*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 511582831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 801460\/13694343 + -892\/4371. Let o = c + -2\/241. Let t = 9\/26 - o. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/6720 - n**7\/5040 + n**6\/720 + n**5\/20 + 2*n**2. Let b(l) be the third derivative of p(l). What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72813 - -3884?\nAnswer: 76807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) - sqrt(5))*5 + sqrt(245)*2.\nAnswer: -10 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, 2\/3, 0.16, -4, -0.1 in descending order.\nAnswer: 7\/4, 2\/3, 0.16, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (1 - 0)) + 1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1404350*p - 3 + 1404348*p - 14 + p**2 to f + n*p**2 + o*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 4746*p - 413. Let c(l) = -2*l**2 + 4747*l - 354. Determine -7*c(v) + 6*k(v).\nAnswer: 2*v**2 - 4753*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63447994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3 + 10. Let z = 117 - 13. Calculate the greatest common divisor of y and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 99, 137, 213, 339, 527, 789, 1137?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*p**2*z + 483322*i*p**2 - 4*i*p*z + 2*i*p + 121*i - 2*p**2*z - 8*p**2 - 119*p*z + z wrt p.\nAnswer: -2*i*z + 966644*i - 4*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - v + 143, 0 = a - 0*v - 2*v - 79. What is the common denominator of (a\/10)\/((-4)\/(-5)) and 143\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642681947?\nAnswer: 653, 984199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3115842*o + 3152468 with respect to o.\nAnswer: 3115842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15309271058.00000043 + -15309271206. Let b = 148 + w. Round b to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -604463 + 5?\nAnswer: -604455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 17334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/4, 2, 5\/3 in descending order.\nAnswer: 2, 5\/3, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-169)\/(-3) - 3). Let h = k + 52. What is the closest to 0.2 in h, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a655 + 8419?\nAnswer: -2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 31, 23, 11?\n\"Answer: -2*r**2 + 2*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 18 = 4*f, -5*f - 1 = 4*y + 22. Let p be 2\/(-1) + (-20)\/(-2) + f. Sort -1, p, -11.\nAnswer: -11, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/75*(4455\/(-60))\/(-33).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -682*t**2 - 53*t + 125207 wrt t.\nAnswer: -1364*t - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 312\/(-48)*(-8)\/52. Let u(s) = s**2 + 3*s. Let w be u(-3). Let b be n + w + 2 + -4. Sort -3, 5, b in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o*u**2*y**3 - 77*o*u**2 + o*u*y**3 - 3*o*u + 4*o*y**3 - 46*o*y**2 - 4074*u**2*y**2 + 27*u*y**2 - 2*u wrt u?\nAnswer: -8*o*y**3 - 154*o - 8148*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4 + 521644*h**3 - 3129972*h**2 + 4694996*h - 2086672 = 0.\nAnswer: -130417, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 + -293. Let g(w) = -7*w**a + 2 + 3 + 395*w - 394*w. Let j(i) = 0*i - 11*i**2 + i + i + 8. Determine -8*g(s) + 5*j(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqccfcfzzcfffqfqczf. Give prob of sequence cc.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(96) + sqrt(22)\/sqrt(2) + 5)*-4)**2.\nAnswer: 200*sqrt(11) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 1\/5, -0.097 in descending order.\nAnswer: 1\/5, -0.097, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*7\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6774.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-42*v + 39*v + 43*v) + 0*v + 0*v - v.\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (-5 - -6) + 3 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1384*(-1)\/5 - (-48)\/(-60). What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 24, 30, 36, 42?\n\"Answer: 6*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -786, -787, -788, -789?\n\"Answer: -u - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-2)\/(-110) - 2\/(-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/316 and -43\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 6071, -5\/4, -2, 1\/3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392021.\nAnswer: 7, 56003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -237956, -238392, -238828?\nAnswer: -239264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (149 - 126082\/847)*(-1281)\/9.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b = 62*b + 409 + 721 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a95 (base 12) in base 8?\nAnswer: 203221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z + 2*n, -3*n + 19 = -2*z - 0*z. Let m be 2\/(-4) - 2\/z. Let p be (64\/(-68) + 1)*2. Which is the second smallest value? (a) p (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)*i*i*i\/i**17*i)\/((i*i**(-7)*i*i)\/(((i**(-3\/2)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-107\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*d + 11*d + 38*d)*(d**2 + 0*d**2 - 2*d**2) + (-36*d + 36*d - 42*d**2)*(-2*d + 2*d - 2*d) to the form z*d**3 + k*d**2 + i + y*d and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 98, 77, 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*g**3 - 15*g**3 + 213*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -0.4, 123.9, -0.7, -25?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5.292, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54638 is divided by 6070.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - 8) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7491 and 32374.\nAnswer: 39865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-2*-2 - sqrt(1500))\/(sqrt(3) + -5*(sqrt(3) + sqrt(9)\/sqrt(3) + sqrt(3)) + (sqrt(3) - (-2*sqrt(3) + sqrt(3)))*4).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/255 and -89\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -20)*(-3 - 55\/(-10) - 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 215\nAnswer: 12685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000740641572 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5607624124.\nAnswer: 2, 1401906031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -767399*s + 5. Suppose 10*z + 27 + 23 = 0. Let n be v(z). What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(3 - 3 - 9*x)*(-x - x + 4*x).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 534.524km?\nAnswer: 534524000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**4 - 3*o**3 + 3*o**2 + 297. Let y(v) = 30*v**4 + 5*v**3 - 5*v**2 - 593. Let w(q) = 5*a(q) + 3*y(q). Differentiate w(s) wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3813 - -4728. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45452 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 418*z - 832 = 0 for z.\nAnswer: -416, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210200 (base 3) to base 2.\nAnswer: -1001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.33 rounded to 1 decimal place?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102))\/sqrt(6) + -2)**2 - (sqrt(17) + 0 + -2 + ((sqrt(17) - sqrt(34)\/sqrt(2)) + 3 - sqrt(17))**2).\nAnswer: 48 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271476 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-115*10\/(-7500))\/(2\/18). Let r = h - -3\/25. Suppose 0 = 3*q - q + 10. What is the biggest value in -32, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -61?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/60*z**5 + 5\/9*z**3 + 0*z**2 + 44*z + 1\/12*z**4 + 0. Find h such that g(h) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 3*f**2)*(-4*f**3 + f**3 + 0*f**3)*(-12 + 2 - 2).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 40 = 3*r + 5*d, 0 = -r - 2*d + 13. Let q = r - 1. Solve -q*w - 1 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93279.61 millennia?\nAnswer: 93279610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2378, 4771, 7178, 9605, 12058, 14543?\nAnswer: 17066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 6. Suppose -4*o - 18 = -46. Suppose 5*b - o*r = -3*r + 71, 4*r - 39 = -5*b. Calculate the remainder when w(-5) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)\/f)\/f**(1\/3)*(f*((f**(-2\/3)\/f)\/f)\/f)**(2\/27) assuming f is positive.\nAnswer: f**(-577\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97, -447, -1037, -1867, -2937, -4247?\n\"Answer: -120*x**2 + 10*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755 - 730 = -9*l. Suppose 0 = -4*p + l - 113. Solve -3*r = -j - 16, p = 5*r + 3*j - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061507?\nAnswer: 271, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 27. Let l be ((-8)\/6)\/(13\/(-3)). Let o = -0.0233 + -1.9767. What is the smallest value in o, l, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5 + 884*a**4 + 6908*a**3 + 19708*a**2 + 23904*a + 10224 = 0?\nAnswer: -213, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 18*o**2 + 24*o + 6. Suppose -11*r + 5*s = -7*r + 44, -28 = r + 3*s. Is y(r) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -7, -889, 18, -4?\nAnswer: -889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*z - 29, 0 = 3*f - 3*z - 2*z - 29. Let j(m) = -m**3 + 9*m**2 - 2*m + 19. Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14073.08 nanograms to kilograms.\nAnswer: 0.00000001407308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 336\/(-3744) + 4\/(-52). What is the closest to r in 5, -5, 30, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264454464 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - x. Let c be y(1). Suppose 0*l + 66 = -c*l. Let z = 16 - l. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -4, -6335, 7 in ascending order.\nAnswer: -6335, -6, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (0\/(-3))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 9:34 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - 48) - (7269 - 7251).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21)*y\/(y**(-17\/2)\/y))**(3\/16) assuming y is positive.\nAnswer: y**(-63\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1180\/(-826)*(-56)\/(-20)*218\/8\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3723 and 1769739?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-53768)\/((-4)\/(-1)))\/(-2). Let z be (-3)\/12 - g\/(-4). Suppose -10*c + z = -2*c. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r + 6*r + 2*r**2 + 11*r.\nAnswer: 2*r**2 + 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 435277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 2 + -4 + (3 - 1) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -74. Solve -n = 3*k - 3 - x, 2*k - 14 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*q - 127758, -p + 4*q = 2*p - 127749. What is the greatest common factor of p and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -1, -451\/6, -2 in descending order.\nAnswer: 2, 0.2, -1, -2, -451\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2800754682 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5961789, -5961754, -5961697, -5961606, -5961469, -5961274, -5961009, -5960662?\nAnswer: -5960221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8910\/(-39204)*((-3)\/(-5))\/(2\/(-16))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*i*p*x + 189*i*p - 35*i*x - p*x - 48*p - 3*x - 485 wrt i.\nAnswer: -58*p*x + 189*p - 35*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 606 and 20?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3 - 9. What is the third derivative of 30*m**4 + 2332*m**2 + m**4 - 2371*m**y wrt m?\nAnswer: 744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*n + 7*n - 4*l - 95, 2*l = -46 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4. Let s be (1 + -13)*3\/(-6). Let r(h) = -5*h + 5*h - 4*h**3 - 15. Let c(z) = s*r(z) - 22*i(z). Differentiate c(n) with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117127963 to the power of 1\/2, to the nearest integer?\nAnswer: 10823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(220) - sqrt(55))\/(sqrt(5) + sqrt(15)\/(-2*sqrt(3))) - (-5 + (sqrt(891) + sqrt(891) + 0)*4).\nAnswer: -54*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7213*i**2 - 2277.\nAnswer: -14426*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10992)\/542272 + 334\/(-12728)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i + 7*i)*(-67*i**2 - 35*i**2 + 27*i**2) + (-3*i**3 - 3*i**3 + 4*i**3)*(-4 + 4 + 2) - 4*i**3 - 2*i + 2*i.\nAnswer: -383*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Calculate p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 20, 2*j + 5*n - 6*n - 36 = 0. Solve 0 = w + 3*t + 7, t + j = -3*w - 3*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -801.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79714003 - 79714004.41997514. Let s = 1.42 + m. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-21) + (-1294)\/(-3). Let c = -287 + y. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.4232733 and 0.3.\nAnswer: -24.1232733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**7\/2520 - a**6\/240 + a**5\/60 - a**2. Let v(d) be the third derivative of r(d). Suppose 24 = -5*m + 4. Give v(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + q + 2. Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.104 * 23.42\nAnswer: -2.43568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 90 = 18 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 15 = 4*y - 1, 5*y - 3*f = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626680.\nAnswer: 2, 5, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/896)\/(12\/(-3)*1\/(-6)*-3)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9424900*a**3\/7 + 179048540*a**2\/7 + 466624*a\/7 + 304\/7.\nAnswer: -4*(a - 19)*(1535*a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2994\/5731 - 12\/521. What is the second biggest value in 0.02, n, 106?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41282 divided by 5.\nAnswer: 41282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-9) + 86\/720. Let v(r) be the third derivative of -i*r**6 + 0*r - 6*r**2 + 0 + 1\/10*r**5 + 4\/3*r**3 - 1\/2*r**4. Factor v(q).\nAnswer: -(q - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 4. Let w be a(-6). Let u be 110\/25 + (-4)\/w. What is u rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620 <= 2550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13674731318686 + -1\nAnswer: 13674731318685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3569 and 747?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*m**5 - 5*m**5 + 18*m**5 + (-2*m**2 + 2*m**2 + 2*m**4)*(3*m + 4 - 4 + (0 - 1 + 0)*(-m - 3*m + 2*m) + 6*m - m - 4*m).\nAnswer: 39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*o\/(o*o**(-9\/7)) assuming o is positive.\nAnswer: o**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 + 5*u - 3. Let k be f(3). Suppose 0 = 5*d + b + 3*b - 207, 4*b + k = 2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t**3 - 30*t**2. Let z(h) = -h**2. Give i(u) - 30*z(u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-880)\/20 + 36 - (0 - -19).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 58 = 47. Suppose 2*v - 7 = o. Suppose q + b - v = 0, -4*b + 15 = q + 1. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = -21*z + 705 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 562187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let n = 5 - o. Let i = 614 - 613. Which is the biggest value? (a) -1\/3 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -2. Let z = -3.8 + w. Put -4\/9, -0.1, z in decreasing order.\nAnswer: -0.1, -4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c + 28. Let o be q(-6). Which is smaller: 77 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 5*u**4\/8 + u**3\/6 + 23*u. Suppose h(g) = 0. Calculate g.\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189638546 take away -0.02625?\nAnswer: -189638545.97375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 12:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 544367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-133))\/(2\/(-4)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/5, -6785, 3\/7, -478\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5212, 5209, 5206, 5203?\n\"Answer: -3*h + 5215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415758 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (2 + sqrt(2))**2 + 2 + sqrt(162)*1 - (1*sqrt(108))\/(2*sqrt(216)).\nAnswer: 8 + 55*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-18))\/((-2)\/(-4)). Let v = 3 - 3.03. Let s = v + 0.43. What is the closest to 2\/5 in 1, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3661 - 14553\/4. Suppose 0 = -u - 3 + 48. Calculate the common denominator of (-8 - (-531)\/u)\/((-8)\/15) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*u**2 + 223 - 198 - 8*u**4 + 70*u + 2*u**4 + 10*u**3 + u**4.\nAnswer: -5*(u - 5)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7787, 15582, 23381, 31184, 38991?\nAnswer: 46802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {i: 2, a: 3, d: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m, -4*m = -2*f. Suppose 7*l - 3*l = f. Suppose -5*h = -l*h - 1655. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/8*2 + 1. Suppose l = -2*c + 7 - 1. Solve 2*q - 18 = 3*p, -c*q - 7 = 8*p - 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/8*6 + 34 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:17 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 68) + -725 + 777?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.8537 decades in months?\nAnswer: 5982.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -182 - -299. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1106 - 3316\/3. What is g in 0 - 2\/3*g + j*g**3 + 5\/3*g**2 - 5\/3*g**4 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (77 - 78)*(-12 + 0 - 0). Solve -3*b + 7 = -2*f + w, 5 = f - 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1792 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -35, -65, -113, -185, -287, -425?\n\"Answer: -t**3 - 11*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -732 - -2091. Suppose 0 = -29*g + 2121 + w. Is g a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 94, 130, 164, 196, 226, 254?\n\"Answer: -o**2 + 41*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 194*s**2\/3 - 317*s - 378.\nAnswer: -(s + 2)*(s + 3)*(s + 189)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f + 7. Suppose p = f + 11. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2*c + 5*j - 3760, -3*c + 2268 = -j. What are the prime factors of c?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864492.\nAnswer: 2, 716123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let g(i) = 4*i**3 - i + 1. Let c be g(v). Suppose -2*y + 72 = c*d - d, 2*d + 199 = 5*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1 + 1 + 2 - 1 + (-3 - 3 + 4)*(-5 + 4 + 2))*(25*u + 43*u + 43*u) as j + p*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 68151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**2 + 3*f - 5. Let x(w) = -3 + 1 + 0 - 4*w**2 + w. Let t be (-2 - (-80)\/25)*(-10)\/6. Calculate t*g(d) + 5*x(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 2*x**2 - 2*x**2 + (-4*x + 4*x - x)*(18*x + 2*x + 10*x).\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-12))\/((-5)\/30). Let f be r\/(-28) - 40\/70. Which is the second smallest value? (a) f (b) 1\/8 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141 - 20550*i**2 + 45 + 34 + 20548*i**2 - 218*i.\nAnswer: -2*(i - 1)*(i + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 18*c - 23*c + 46 + 52 in the form z + i*c and give z.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 88 = -103. Suppose 0*r + t*r + 2*h - 190 = 0, h = -5*r + 195. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 23. Suppose 2*j - 8 = -3*v, -4*j + 5*v = -35 - 3. Let q be l(j). Suppose q = i - h - 11, 2*i - 30 = -3*h. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10803651?\nAnswer: 3, 1049, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-20)*-1)\/((-36)\/90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {e: 6, l: 3, t: 1, g: 1, v: 4, j: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j + 20. Suppose -33 - 2 = 5*t. List the prime factors of y(t).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o**3)*(0 - 2 + 0) + o**3 - 10*o + 10*o + 0*o**3 + 0*o**3 + 3*o**3 + 11*o**3 + 11*o - 11*o.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1044 = -1064. Let g(r) be the third derivative of 0*r**3 + 0*r - 2*r**2 + 1\/45*r**d + 1\/36*r**4 + 0 + 1\/180*r**6. Factor g(b).\nAnswer: 2*b*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57 - 119*t - 53 + 57 + 69 wrt t.\nAnswer: -119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-3)\/(-8))\/(((-18)\/8)\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 12, j: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 25 - ((-3)\/3 + 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -7*h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18236366, -18236365, -18236364, -18236363, -18236362, -18236361?\n\"Answer: j - 18236367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3958 + 3961)*(1 - (-11)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -10. Suppose l*w = k + 39, 0*w + w + 5*k - 3 = 0. What is the highest common divisor of 162 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:26 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02181 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**5 + 18*z**4 - 12*z**3 - 72*z**2 + 96*z = 0?\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -l - 377, 3*l - 255 = -85*i + 83*i. Calculate the lowest common multiple of i and 2502.\nAnswer: 17514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 81*i - 9235. Let d be y(114). Let q = -10 + 9.64. Is d >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246 or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2575*k**3*w**3 - 27264*k**3*w**2 + 1015*k**3 + 6157 wrt w.\nAnswer: 7725*k**3*w**2 - 54528*k**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6494, 12804, 19114, 25424, 31734?\n\"Answer: 6310*m + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 21030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/72 and 71\/43472.\nAnswer: 391248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1246, 3397, 6990, 12031, 18526, 26481?\n\"Answer: y**3 + 715*y**2 - y + 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0*r**3 + 0*r**3)*(4*r - 4*r + r) + 692 - 21*r**4 - 692 + (0*r - r + 3*r)*(4*r**3 - 5*r**3 + 3*r**3).\nAnswer: -19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 - 272 = 12*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38681 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1495 - 1510. Which is the second biggest value? (a) -4 (b) h (c) 1\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:01 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 5. Let j(r) = -4*r + 6. Let h(y) = -5*j(y) + 6*q(y). Let z(a) be the first derivative of a**3 - 1. Calculate h(z(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1*-2*sqrt(170))\/(-2*sqrt(250)) - (sqrt(170) + (sqrt(170) - (sqrt(170) - sqrt(170)*-1)*2 - sqrt(170)))\/((sqrt(40) - sqrt(10))*1))*-4)**2.\nAnswer: -336*sqrt(17)\/5 + 53537\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 259*a**3 - 14*a**2 - 455*a - 442. Calculate m(-1).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 30. Let r(u) = u**2. Let y(j) = 9*j**2. Determine n*r(s) - y(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 4*f**2 + f + 4. Calculate the least common multiple of 2 and h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8992*u - 461294 - 5857*u + 461294 + 1187*u to the form b*u + v and give b.\nAnswer: -13662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -496601868*j**4\/5 - 6952503348*j**3\/5 - 24334572279*j**2\/5 - 3782646*j\/5 - 147\/5 = 0. What is j?\nAnswer: -7, -1\/12866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -55691, -15, -4 in ascending order.\nAnswer: -55691, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1923*w - 10 = -1926*w + 4*j, -16*w = -2*j - 92 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029820981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6824 and 17573506?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1565*b**3*h**3*p + 7*b**3*h**3 + 3*b**3*h**2 + 13*b**2*h + 4*b**2 - 723*p wrt p.\nAnswer: 1565*b**3*h**3 - 723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = -5*q, 3*n = 13*q - 10*q + 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83379 or -1.46?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*((-1 + 0 + 3)*(-4*b - b + 6*b) + 6*b - 40*b - 25*b).\nAnswer: -57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 15. Let u(v) = 10*v - 40. Let l(o) = -3*u(o) - 8*x(o). Let i(d) = 5*d + 8*d + 24*d. Calculate i(l(r)).\nAnswer: 74*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/492*2232\/(-2790).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542 + 548. What is the least common multiple of (s\/15)\/((-23)\/(-690)) and 98?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25900 is divided by 8619.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*o - 48, 0 = -3*o + 3*s - 5*s - 36. Let c be 2 - (3 - 1)*o. Let b be -1 + 56\/c - 1. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k + 1. Let a(c) = -2*c**2 - 5*c - 2. Give -a(y) - 3*m(y).\nAnswer: 5*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 125*r**4\/12 - 14*r**3\/3 - 3*r**2\/2 - 4*r + 7. Find the second derivative of i(n) wrt n.\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146.385 + 146. Let o = f - -0.085. What is the nearest to 0 in o, -0.5, 0.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, x: 1, r: 1}. What is prob of sequence rk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/98*(-91)\/(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51\/18*-1)\/(2\/(-12)). Suppose m - 14 = -2*l, -6*l + 61 = -l - 4*m. Let p be 2905\/9 + l\/((-162)\/(-4)). What is the greatest common factor of p and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 14, 0, 4071 in ascending order.\nAnswer: -2, 0, 3, 14, 4071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 617084 divided by 23734\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 616865*v + 35 - 57.\nAnswer: 616865*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06988 rounded to three dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 64. Let g = s - 22. What is the highest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10*(-20)\/(-4). Let d(q) = 6*q - a - 8*q**2 - 1 - 7*q**2 + 10*q**2 + q**3. Give d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:48 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 226484*q - 1811983. Calculate y(8).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 4\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 728444080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 650 + 114 + 915 + 105*d.\nAnswer: 105*d + 1420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1640 or -6559\/4?\nAnswer: -1640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29221.89 rounded to the nearest one hundred?\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*i = 4*i + 246, c - i = -82. Let f = 99 + c. Calculate the remainder when 19 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1.3 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 12*z - 12 = -4*d, z - 27 = -4*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -523, -2085, -4689, -8335, -13023?\n\"Answer: -521*q**2 + q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from paapappapaapaapappa.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c + 1. Let d be (15\/(-10))\/((-2)\/4). Let o be k(d). Let l(r) = -r**3 - r**2 - r - 4. Let q be l(0). Is o < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5775*z + 137. Let k(r) = -2888*r + 61. Calculate 4*d(i) - 9*k(i).\nAnswer: 2892*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100 (base 2) to base 12.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*q*s**4 - q*s**2 + 5*q*s - 2*q wrt s.\nAnswer: 1392*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -8*m**7\/35 + m**5\/20 - 4033*m**3\/6 + 62*m**2 - 2*m - 2. What is the derivative of t(d) wrt d?\nAnswer: -192*d**3 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31049620807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - g - 5 - 6*g.\nAnswer: -7*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3 + d**2 - 9*d - 3 + 17*d. Let j(r) = -3*r**2 + 47*r + 159. Let n be j(-3). What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*o + 3 - 3 = 119*o. Do o and -37\/65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 + 0*r**2 - r**2)*(-2563 + 2563 + 20*r)*(36 - 16 - 9) in the form c*r + y*r**2 + b + x*r**3 and give x.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 24502313?\nAnswer: -24502320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33578061 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/19, 2, -15\/2 in ascending order.\nAnswer: -15\/2, -2\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 549140150 a multiple of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -429.3209 > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/12)*o)\/(o\/(o*o**(-1\/21)))*((o\/(o*o*o*o**31))\/o)\/o**(2\/21) assuming o is positive.\nAnswer: o**(-2693\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-112)*(-434)\/(-6696)*-18*2?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -69*h**2 + h - 4. Let s(a) = 109*a**2 - 2*a + 6. Calculate 5*s(i) + 8*x(i).\nAnswer: -7*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6292958 is divided by 202994?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-96)\/64) + 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 5*h**3 - 102 + 0*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:14 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3202 - -2221?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.1. Let m = -0.3 - g. Let s = 20 + -25. Which is the closest to s? (a) -1 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2427, -6050, -10869, -16884, -24095, -32502, -42105?\nAnswer: -52904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-12))\/o)\/o)\/((o\/(o\/o**(-4\/11)))\/o)*o\/((o**(-3\/11)*o*o)\/o*o)*o*(o\/(o**(-11)*o))\/o assuming o is positive.\nAnswer: o**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*c - 3*k, c + 2*k - 3 = -k. Let l(s) = s**2 - 2*s - 20. Let j be l(c). Solve -3*v + v = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1096 + -2846. Let i = -994 - u. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/600)\/((-5040)\/900)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730691457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005989377 rounded to 7 dps?\nAnswer: -0.0000599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648593.9 millilitres to litres.\nAnswer: 648.5939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3892*n**2 - 19815 wrt n?\nAnswer: 7784*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.4 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 2, f: 3, j: 4, q: 1}. What is prob of sequence jfx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*z + 21880 = 14*r, 4*z + 13156 = 3*r. Suppose -2*i + r = -i + 5*d, -4*i - d + 17596 = 0. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.2, -3, 152?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-3)\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 - 67*s**2 - 579*s**2.\nAnswer: -646*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*o**5 + 7*o**4 + 14091*o**3 + 2011*o**2 - 2211*o wrt o?\nAnswer: 6000*o**2 + 168*o + 84546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-252)\/512) - -6. Put m, 4\/3, -4 in ascending order.\nAnswer: -4, m, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**3\/2 - l. Suppose -y + 0*y = -4. Let f(d) = 2*d**2 - y + 4 + 0. Determine k(f(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.3 (c) 2.4 (d) -6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/660 and 125\/154.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10858\/100698)\/((-20)\/(-1272)). Let n = l + 24\/6455. Let o = 84\/13 - n. Which is the nearest to -1? (a) -2\/9 (b) o (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22077, 44128, 66179, 88230, 110281?\n\"Answer: 22051*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from eucuccj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 10. Let j be m(7). Let k be j + 1 + -1 + 0. Let g = 2 + k. Calculate the remainder when 17 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 285 - -142. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 15 = 3*p + 5*w, w = 4*p + 3. Suppose c = -3*c, 4*f - 2*c + 8 = p. Let g = 12 + f. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264261*a**4 + 5*a**3 + 26266671*a wrt a?\nAnswer: 3171132*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*h - h + 19 = 0, -5*h = -4*d - 16. Suppose 0 = -5*s - 6 + d. Let c be -1600000 - (-1 - s)\/1. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let l(y) be the third derivative of y**4\/8 - 7*y**2. Give l(g(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145\/213 - 1\/71. Let g be (-4)\/(-21)*(-9)\/6. Let r = 4.9 - 7.9. What is the nearest to -2\/5 in r, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, m: 1, y: 1, q: 2}. Give prob of picking 1 m and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.4 and 9828874.\nAnswer: 9828886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 511*y - 12590. What is i(-26)?\nAnswer: 1372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/336 - n**6\/120 + n**5\/160 + 28*n. Let f(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5491293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*y - 1 - 4, -19 = -4*y + p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + g + 11, w = -16*g + 14*g - 8. Solve 0 = -2*h - 4*n + 20, -5*h + w*h - 3*n + 18 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 11 + (3 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(-5*sqrt(304) + 5)*2*-4)**2.\nAnswer: -4147200*sqrt(19) + 158112000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2841.9 and -1.83.\nAnswer: 5200.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/98 and -68\/21?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 104*v**2 + v. Let o be r(-1). Let m = o - -282. Suppose -7*l + m = -2*l. What is the greatest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = 4, 2*n - 4*d - 68 = 0. Let p be 1*-14*(-19)\/n. Suppose 4*m - 2*x - 60 = -p*x, -3*m - 5*x + 45 = 0. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w, 0 = t + 510*w - 508*w + 7771. Round t to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/1093 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**3\/3 - 3*k**2 + 3*k + 4. Let l be q(6). List the prime factors of (1\/l)\/((-7)\/(-189)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 3 - 0) + (84 - (-113 + 215)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/30 - (-54)\/5. Let c = -7 + d. Suppose c*w - 145 - 19 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 454 - 12?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 165, 166, 167, 168?\n\"Answer: o + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1579, -3176, -4771, -6364?\n\"Answer: n**2 - 1600*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 0.221\nAnswer: -4.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*y - 220, 0 = 3*f + f + 2*y - 164. Let s(t) = t**3 - 11*t**2 + 2*t - 8. Let j be s(11). What is the greatest common divisor of f and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 minutes after 8:04 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o - 3. Let y = 15 - 9. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {m: 4, g: 4, x: 1, n: 6, y: 3, z: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048 divided by -24?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/f*f*f)\/f*f*f*f*f*f*f\/f**(-24))**(-31) assuming f is positive.\nAnswer: f**(-837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*109404.\nAnswer: 10940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14252.\nAnswer: 2, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -39. Let b be m\/(-10) + (-49)\/15 - -3. Which is greater: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -85161936 and -14049.\nAnswer: -85175985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -62*q**3 - q**2 - 6*q - 5. List the prime factors of z(-1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-30)*5\/2. Let q(z) = -3. Let w(a) = a + 4. What is i*q(y) - 2*w(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 173, 185, 211, 257, 329, 433, 575, 761?\n\"Answer: s**3 + s**2 + 2*s + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19173\/5 - 3834. What is the nearest to 172 in 0, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 - 5*s - 1. Suppose -4*p - 44 = 3*b, -5*p - 3*b - 23 = 29. Let m(x) = -14*x**2 + 8*x + 1. Let c = -1 + -4. Give c*m(o) + p*i(o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5987.6 + -5988. Let x(r) = r + 8. Let y be x(-11). Let m = y - -2. What is the nearest to m in -3, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*j + 64*j - 768 + 1570 to the form l*j + f and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((4 + -1 - 2) + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = 16*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -316?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25833 divided by 3\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 j when four letters picked without replacement from {o: 2, f: 1, h: 4, j: 9}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 31*b + 2811. Let i(m) = 104*m + 8436. Determine 10*g(c) - 3*i(c).\nAnswer: -2*c + 2802","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 10*h - 16*h)*(-511 - 865 + 23) + 4*h - 4*h + 2*h in the form v*h + x and give v.\nAnswer: 2708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -368b - 2267?\nAnswer: -5936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**36\/(j\/(j*j*(j*j**(-10)\/j)\/j))**(-4) assuming j is positive.\nAnswer: j**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39643561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22231 + -22347. Let i = 3 + -2.9. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - 6*(sqrt(132) + 2*sqrt(132) + sqrt(132)))\/(sqrt(60)\/(-1*sqrt(5))) + -4.\nAnswer: -4 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 410?\nAnswer: 21\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 5*i + 1261. Does 13 divide (-9)\/(-6)*i\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 123. Let r = y + -20. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 - 472476*m - 12755394 = 0. What is m?\nAnswer: -236211, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.47 * 71.63.\nAnswer: -893.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -d - n, 3*d - 2*n - 653 = 317. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 - 1317 - 1181 = -7*x. What is the greatest common divisor of 384 and x?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1432879, -5731546, -12895991, -22926214?\n\"Answer: -1432889*y**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 115920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/10 - 61*s**4\/24 + 1829*s**3\/3 - 613*s**2. What is the derivative of o(w) wrt w?\nAnswer: -12*w - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 643 = -111. What is the greatest common factor of 986 and c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Suppose b = o + 4*o. Is (-15)\/(-1) + (2 - o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, -2, -3, -337?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -2\/15*t**5 - 23*t**2 + 5\/3*t**3 + 0*t + 1\/10*t**6 - 1\/105*t**7 + 0 - 1\/2*t**4. Factor p(i).\nAnswer: -2*(i - 5)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -32*l. Let r(c) be the second derivative of c**4\/12 + 20*c. Determine r(w(d)).\nAnswer: 1024*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**9\/3024 + w**6\/120 + w**3\/3 - 1. Let b(v) be the third derivative of d(v). Find the third derivative of b(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) -392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16011561 - 345?\nAnswer: 16011213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1b40531 (base 12) to base 13\nAnswer: 12840ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 * -1\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 43*f**2\/2 - 631*f - 9806. Calculate w(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3 + 3438*s**6 - 186 + 4*s**2 - 12*s - 7*s**2 + 8*s + 5*s wrt s.\nAnswer: 412560*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s**2 + 2*s. Let t be q(-2). Let v be t\/(-6)*3\/2. Suppose -138*j = -47*j. Solve 2*d - v - 1 = 3*f, j = f - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*j + 2 = 0, 2*j = x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1632 and 1632?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*h**4 + 14*h + 0*h**2 - 1 + h**2 - 13*h + h**4 - 4*h**4 + 12*h**4 + (0 + 0 - h**3)*(-3 + 3 + 3*h) + h**4 + 4*h**3 - 4*h**3.\nAnswer: 14*h**4 + h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -76. Let k be ((-4)\/(-12))\/((-4)\/2976*-4). Calculate the greatest common divisor of p and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/8)\/o)\/(o*o\/o**7))\/(o**(-6)*o**7) assuming o is positive.\nAnswer: o**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b**2 - 45*b - 123. What is the remainder when h(-3) is divided by 1*-3*(-1 + -9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 + 2*l - 8. Does 39 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 14. Suppose -27 = -k*y + 2*y. Calculate the greatest common factor of y and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.93365 - -2.94. Round i to four dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, 0.22, 0.2, 2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 26 + 8711*q - 8713*q + 14 + 24604*q**2 to the form l + s*q**2 + t*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 28 = -4*y, 6069*i - 6067*i - 18 = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 3549020591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10100?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935940772 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16292 - -16286. Let f = 0 + 0. What is the fourth biggest value in f, h, -0.4, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45.7? (a) -139\/6 (b) 6 (c) -2 (d) 2 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3199440 divided by 6?\nAnswer: -533240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d = -49*d - 18*d + 911088. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuxhxne. What is prob of sequence eune?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 9*n**2 + 215*n - 481. Determine v(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2645515*j**2 + 2645515*j**2 + 4*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -177*d + 1431. Give p(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-3))\/(90\/(-51)). Let d = m - -10\/9. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84264 is divided by 84249.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946806.\nAnswer: 2, 17, 57259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*u - 27 + 370 + 41 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2214*k. Let r(i) = 4*i**2. Determine v(r(g)).\nAnswer: -8856*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**2 + 4*m + 2. Let g be z(-3). Let i be g\/(-3)*30\/20. Suppose -7*x + 607 = i. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2405*u**2 + 4836*u**2 - 64*u - 2420*u**2 to the form q*u**2 + g*u + f and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -827.1347 + 0.1347. Let i = 828.051 + c. Round i to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (261 - 260) + 20 + 1 + 0\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -25335, -4 in increasing order.\nAnswer: -25335, -30, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-8))\/(1\/(-8)). Is ((-27)\/(-2))\/(n\/(-8)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6660\/15*104\/12. Suppose 18*g + i - 15872 = 0. Calculate the smallest common multiple of g and 20.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817063881 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3474 and -119\/71796?\nAnswer: 215388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i - 16*i - 9*i + 3 - 6*i. Let d be o(-3). Calculate the highest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*l = -9. What is the tens digit of 1*20\/(-6)*l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 + 2550*b**2 - 2050*b**2 + 0 as j*b**2 + n + f*b and give j.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153 - -4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 600 - 119. Let t be 2\/(-14) + n\/2093. What is the nearest to -1 in -0.5, 1\/2, -0.4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.293 to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 2. Let u be y(0). Suppose -3 = -2*b + 1, -4*m + 120 = -u*b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -12. Let t = 56 + -47. Let g be 4\/12 + i\/t. Solve -5*h + 2*j - 2 = -6*h, -h - 5*j + 5 = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -33*p + 13*p. Let z = -53 - -51. Put p, 5, z, 17 in increasing order.\nAnswer: z, p, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + y = -132, -1114*y = 2*g - 1112*y + 56 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0 - 24. Let y be ((-66)\/(-9))\/(((-7)\/b)\/(-7)). Let k = y - 84. Solve -4*h = 2*s, 0 = -2*s - k*h + 2*h - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000166637693 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 212.5 times -36\nAnswer: -7650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 141*x**2 - 7. Let v be g(-3). Let c = v + -373. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r + 10 = 23*r. Suppose -z + 2 = 4*f - 5*f, 34 = r*z + f. Suppose 5*p - a - 16 = -7, 2*p - z = a. Solve 5*w + x - p = 4*w, -w = -2*x - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Let g = 48 + -45. Suppose -2*n + g = -d. Calculate the greatest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1563058*i**3 - 40*i**2 - 149451039*i wrt i.\nAnswer: 9378348*i - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 0*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114425150 - 0?\nAnswer: 114425150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -104 - 0?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 20. Suppose 0 = -3*x + 4*o + 46, -x + 12*o = 10*o - 18. Determine z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(684) + (-5 + sqrt(684) + sqrt(684))*5)*-4*-4)**2.\nAnswer: -849024*sqrt(19) + 21349188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1151, 1, -18.\nAnswer: -1151, -18, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7062\/870 - 8) + 3\/(-5). Let n = -41\/145 - v. What is the nearest to 2 in 10, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-18) + 8\/(-12))*0. Suppose -p - s + 2 = 0, -5*s = -2*p - i*s - 24. Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2467728 and 685480.\nAnswer: 12338640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**8\/112 + b**7\/35 - b**5\/10 - b**4\/8 - 4*b**2 - 12. Let z(d) be the second derivative of x(d). Factor z(a).\nAnswer: 3*a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(9 + -4) + -3. Let o(j) = 17 - j**a + 0*j - 10*j + 12. Let g be o(-12). Solve -4*i - 5*p - 4 - 2 = 0, -1 = -g*i - 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10 + 15*t**2 + 18*t**2 - t**3 - 4*t + 73*t + 41 + 0*t**2. What is j(35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307*q + 52 - 104 + 52)*(q**2 - q**2 + 4*q**3).\nAnswer: -1228*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 times -0.9?\nAnswer: -558.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.6436 nanometers in millimeters?\nAnswer: 0.0007246436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 3548*n**2 - 3*n - 4*n - n to y*n**2 + j + f*n and give y.\nAnswer: -3548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 25 = -2*o, -3*o + 226*y - 221*y = 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:26 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -0.4, -0.02, 133?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*sqrt(1250)*3)**2.\nAnswer: -405000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 - 20*d**2 - 11*d + 111. Let n be u(10). Let o be 2*(0 + 2\/(-14)). Let g be (39\/11)\/3 + -1. What is the smallest value in o, g, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/799395 and 107\/1918548.\nAnswer: 9592740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*x**2 + 29*c**3 - c*i**3*x**3 + c*i*x + 7*i**3*x - 22*i*x**3 wrt x.\nAnswer: 6*c**3 - 6*c*i**3*x - 132*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + i**2 - i + 2. Give p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047737330 to the nearest integer?\nAnswer: 32369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273301467*k**2*u**2 + 219*k*u**2 - 2*u**2 - 63243*u wrt k?\nAnswer: -546602934*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 34, -3, 717, -5, -2 in decreasing order.\nAnswer: 717, 34, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 - g**2 - 6*g - 5. Let b be w(-1). Let f be (6\/(-4))\/(9\/12). Let a be (f\/(-4))\/(1\/(-8)). Sort a, b, -1 in decreasing order.\nAnswer: b, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + (-1 - 5) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 6)*(2*t - 2*t + 2*t) - 75*t + 279*t + 198*t as n*t + v and give n.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1450555196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 450.754624 to the nearest integer.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*a - 880*a + 987*a = -1077*a + 106326 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 60*i**2 + 47*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 194587437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371335573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90499987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + n + 7 = 0, -2*l = -2*n - 3 + 1. Let f be (l + 3\/(-6))\/(15\/10). Put -5, f, -84 in decreasing order.\nAnswer: f, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdiveddsse. What is prob of sequence ds?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 18539 + 6521 = 0. What are the prime factors of a?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a - 72 + 222 = -68 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*n = -0*r + 75, 0 = -r - 4*n + 32. Let p = r + -18. Solve 0 = p*b - 2*m + 16, -20 = -b + 2*b - 5*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = 9. Suppose -j = -i - 1. Suppose -204 = -3*p - 5*k + 42, 299 = 4*p - i*k. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3938*a**2*d**2 - a**2*d + 2*a*d**2 + 4*a*d - 3*d - 3 wrt d.\nAnswer: -7876*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**3 + 489*j**2 + 3015*j + 4563 = 0.\nAnswer: -3, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 25*d - 12*d - 11*d.\nAnswer: 2*d + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*p + 0*p + 32*p - 13*p as x + c*p and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.89 + -29. Let g be (-8)\/(-90)*(-265)\/(-106). Which is the smallest value? (a) g (b) 0 (c) 1\/6 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1211 + 13333020?\nAnswer: 13331405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**4 + 3*q**5 - 7*q**5 - 3*q**4 - q**5 + q**5 - 2*q**5 + (-8728*q**3 + 104*q**4 + 8728*q**3)*(6*q - 3*q - 2*q).\nAnswer: 98*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -410 + 411. Suppose -f = 3*w + 2, 3*w - 4*f + 14 = 4*w. Is 10 + (w - (-6 + j)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316 (base 13) to base 4.\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose -s = -h*s + 15. Solve 2*o = -0*d - 3*d + 25, d = 4*o - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 63*x + 4664 = 0. Suppose 0 = l + 2*l - 63. What is the remainder when x is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 2572?\nAnswer: 7716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 545\/24 + -70\/3. What is the smallest value in o, -0.2, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 101, -2\/7, 0, -86 in decreasing order.\nAnswer: 101, 1\/4, 0, -2\/7, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/8 + 2888\/32. Suppose 0 = -2*h - 0*f + 5*f + 58, -3*f + q = 4*h. Solve -3*s = 4*p - h, 7 = p + 2*s - s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/3, 3, -18\/7, 87, 1\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**4*c*c**(-2\/9))**(-1) assuming c is positive.\nAnswer: c**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 39506203*n. Let r(c) = c**2. Give b(r(w)).\nAnswer: 39506203*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 plus -12337838115?\nAnswer: -12337838114.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 7. Let u be c(-3). Let p(r) = -12*r + 102. Let b be p(14). Is ((-2)\/(-1))\/4 + b\/u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2057 + -18?\nAnswer: 203b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - g**2 - 3*g - 2. Suppose -4*y - 2 - 1 = -b, -2*y - 3*b - 19 = 0. What is the tens digit of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 27*w - 5. Let l be w + 39\/26 + 13447\/2. What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34864*d - 34878*d = -924 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1234?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g)\/g*g*g\/(g**(-19)\/g*g)*g**(-6)\/g*g*g\/(g\/g**17)*g assuming g is positive.\nAnswer: g**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5879 + 5881. Let k(w) = -w - 1. Let o be k(-1). Solve b*r = 6 - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:33 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 5*s**2 - 2*s - 5. Give g(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.6 + -7.4. Let x = -71 - d. Which is the nearest to -1? (a) -4\/9 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 28*j**2 - 163*j + 95. Calculate k(5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*x + 3, -26*n + 24*n = 2*x + 4. Determine h so that 4\/9*h - 2\/9*h**n + 0 - 2\/9*h**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 <= 4691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {c: 2, a: 8, j: 1, d: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-4) - 4)\/(1 + -3). Let j(b) = b**3 + 4*b**2 - 3. Let v be j(-3). Let w(s) = -v*s**2 + 4*s**2 - 2 + 3*s + s. Determine w(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -10*w - 4*w. Find the second derivative of -140*a - 5*a**3 + 809*a**w - 825*a**2 - a**3 + 5*a**3 wrt a.\nAnswer: -6*a - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = 3*f + 5*g, -2*f - 9 = g. Suppose 2 = -2*q - 0*q. Let x(k) = -4*k**3 - k**2. Let d be x(q). Put d, -2, f in ascending order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1633 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -36 (b) -7.5 (c) 0.1536 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7457 not equal to -7441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 1 - 8 + 6)*(-3*n + 3*n - 3*n**3 + (-3*n**2 + 0*n**2 - n**2)*(n - 3*n + 4*n) - 20 + 20 - 11*n**3).\nAnswer: 44*n**4 + 66*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Let m be -5 + (-31)\/5 + 11. Which is the third biggest value? (a) t (b) 14 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let k(x) be the second derivative of x**3\/6 - x**2 + 3*x. Let j be k(0). Let p be a(j). Does 3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2378, -4770, -7256, -9884, -12702, -15758, -19100, -22776?\nAnswer: -26834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -2.2. Let y = -1\/17 + -13\/68. What is the third smallest value in q, y, -2.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 2 = -4*k, -8 = -k + 2*m. Suppose k*v + v - 138 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 38b50?\nAnswer: 38b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14413, 14353, 14293, 14233?\nAnswer: 14173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0707*-0.0375.\nAnswer: -0.00265125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 24*m - 22 = -19*m, 0 = 3*y - 3*m - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 2191*v + 7. Let u(s) = s**2 + 730*s + 2. Give 2*p(o) - 7*u(o).\nAnswer: -o**2 - 728*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 4, 2, -0.4, 2\/9, -504, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280869 is divided by 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 62*b + 504. Let u be n(-8). Solve -u*f - 3*f - 55 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38414395*r**3 + r**2 - 696*r - 8422 wrt r?\nAnswer: 230486370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363805744?\nAnswer: 2, 7, 12176837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843642*y**2 - 2*y**3 + 843642*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-6)\/((-2)\/(-112))*45\/2565*19?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (321*d - 102*d - 119*d)*(5 - 6 - 12).\nAnswer: -1300*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 33 = -4*u, -3*o - 2*o = -2*u - 99. Let a(y) be the second derivative of y**3\/3 - 2*y. Let d be a(3). Solve d = -k + q, -k - o = 4*k - 2*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 10*i + 8. Give f(5).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10698*x**3 - 6*x**2 - 6*x - 1. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5 = -3*v, v - 198 = -5*k - 187 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7418*w + 43 = 7451*w - 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 15 = y - 3*q, y + 1280 = -6*q + 1250 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189*i**3\/5 - 69*i**2\/5 - 6*i\/5.\nAnswer: -3*i*(7*i + 1)*(9*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/5, -1, 61, 1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 13*n**2 + n + 15. Let m be (2\/6)\/(1864\/312 - 6). Let p be h(m). What is the highest common factor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 189.7 and 8.\nAnswer: 1517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-40)*(-1)\/(20\/(-24))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (8 - 0 - (290 - 263))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 2. Let p(g) = -g**2 + g + 5. Let i be p(0). Suppose -i*j + f*w + 37 = 0, -2*j - j = -5*w - 7. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80597 - 80604. Let g = 23\/54 + 2\/27. What is the closest to 1\/3 in h, -2\/17, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.37 + 43.29036. Let z = -0.08 - g. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, 2, -5, 5 in ascending order.\nAnswer: -23, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 426\/7 and 60 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1203, -2\/15, 2, -5, -0.3, 12\/5, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33602 and 3170?\nAnswer: 168010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*b**3 - 69*b**3 - 156*b**3.\nAnswer: -373*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (14 - (-11 + -3) - 8 - -9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*76\/6. Suppose 2*l + 1 = n. Suppose l + 3 = 2*d. Solve d*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.0911 times 9.5\nAnswer: -29.36545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 311, 2, 3 in decreasing order.\nAnswer: 311, 3, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281.222486 rounded to the nearest integer?\nAnswer: -1281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12*x - 1230 = 0. Let d = 46 - x. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17710\/(-253)*40\/28\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7))**(-46)*p**(1\/2)*p**3*(p\/((p\/(p**(3\/4)*p))\/p)*p*p*p**(2\/11)*p)**26 assuming p is positive.\nAnswer: p**(9615\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1342)\/(-77) - (22\/(-14) + 1). Let a(i) = -10*i + 183. Let z be a(n). Solve -z*f = -y - f + 3, 5*f = 4*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:23 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/8 - (-1762)\/4. What is the units digit of (6\/(-15))\/(1*(-4)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Suppose -7 = 5*g - 5*n - 22, 2*g = -4*n. Let y(i) = -3*i**2 + 2*i - 2. Calculate g*c(w) - y(w).\nAnswer: w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j - 40. Let s be q(3). Let r(y) be the second derivative of 0 + 1\/90*y**5 - 10*y + 1\/9*y**s - 1\/54*y**4 - 1\/27*y**3. What is w in r(w) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 722854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295497311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 18*k - 22. Calculate a(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t + 567*t**2 + 4282*t**6 - 7897*t**6 - 2719*t**6 + 645*t**2 wrt t.\nAnswer: -760080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1245 and 5986?\nAnswer: -745.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5490 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**4 + 3*v**2 - v + 5.\nAnswer: 72*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**39 assuming k is positive.\nAnswer: k**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 4, -169, -138 in decreasing order.\nAnswer: 4, 2, -5, -138, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1450697, -1450690, -1450683, -1450676?\nAnswer: -1450669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 + r + 428. Does 39 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 1. Let s be k(1). Suppose -11590 = -4*o + s*g, -2*g = -0*g - 10. What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-350)\/10))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-310441)\/(-10868))\/(18\/4). Let k = d + -10\/143. Calculate the common denominator of k and 5\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 + 447 = -j, -1114 = -5*z + 3*j. Calculate the least common multiple of z and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2307525, -2307422, -2307255, -2307024, -2306729, -2306370, -2305947?\n\"Answer: 32*b**2 + 7*b - 2307564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let b = 0.7 + u. Let p = b + 0.4. Is p smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2500552 times 12\nAnswer: -30006624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -24*a + 643. Let w be (2 - 4) + a + -17. Let r = -36 + 86. What is the highest common divisor of r and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 106893*t**2 - t\/2 + 106893.\nAnswer: (t - 213786)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**20\/((t*t*t*t**(-5\/8)\/t)\/(t*t**(-9)\/t)))**(-1\/18) assuming t is positive.\nAnswer: t**(-397\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - 122\/(-4). Suppose 2*c = 5*s + 37, 7*s = c + 2*s - x. Let j be (c - 1)*4\/10. Let v(z) = -z**3 - z**2 + z - 1. Calculate v(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s = -102*s - 64. Solve 0 = -11*l + 12*l, s*f = 5*l + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28762593 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -435*x + 111 + 1300. Solve 0 = h - 5*l - x + 23, -5 = -3*h + 2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583*h**5 + 1103*h.\nAnswer: -11660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149756 rounded to 4 dps?\nAnswer: -0.1498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 71. Which is the fourth biggest value? (a) 1\/10 (b) -0.3 (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.2. Let q = s - -1.2. Let u = q + -1. Which is smaller: 2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2931010.29 to the nearest 100.\nAnswer: -2931000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 88*x**6 - 4*x**4 + 6*x**2 - 4*x - 123. Let f(s) = -s**6 + s**4 - s**2 + s - 1. Let d(i) = 4*f(i) + r(i). What is the third derivative of d(v) wrt v?\nAnswer: 10080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 121068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (12 + -6 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 3 + -8 + 13 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 9}. What is prob of picking 1 e and 3 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2110*f**2 + 59*f + 20. Let z(b) = 2109*b**2 + 60*b + 19. Let y(d) = -5*j(d) + 6*z(d). Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8*2)\/((-2)\/(-4)). Factor -h**2 + 3*h - 18 - 2*h**s + 12*h.\nAnswer: -3*(h - 3)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Let d be -1*h\/(-2 + 3). Find the second derivative of -w - 4*w**3 + 0*w + 9*w**d wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 2100 = v. What is the smallest common multiple of v and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(1\/24)*o)\/o))\/(o**(1\/18)*o*o) assuming o is positive.\nAnswer: o**(-79\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*p**2 + 648*p**2 - 2107*p**2 - 1131*p**2.\nAnswer: -5084*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 21647597.\nAnswer: 32\/21647597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 26 - 14 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/(-12) - (-6)\/8. Suppose 0*w + 48 = 4*j - 3*w, 2*w = f*j - 44. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Suppose 57 = 4*a + 3*u, -i*a + 0*u = u - 85. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u + 4. Let j be p(0). Suppose -w - j = 5. Let m = 11 + w. Solve -b - m*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/(9\/(-12)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + d)*(0 + 3 - 5) + 0 + 2*d + 0 + 4 + 2*d - 4 + (-66*d - 1601 + 1601)*(4 + 2 - 11).\nAnswer: 336*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085359662?\nAnswer: 2, 3, 17, 31, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288632 is divided by 4801.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-144)\/(-648) + (-2)\/(-18)*34. Find the third derivative of 3*s**l - 51*s**5 - 23*s**5 - 3*s**4 + 6 - 107*s**5 + 9*s**2 wrt s.\nAnswer: -10860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1558*z + 1564*z + 36 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*z + 0 = -3, -4*z = 12. Let w = -25 + -7. Let c = -23 - w. Calculate the smallest common multiple of x and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8314 is divided by 321.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 37758?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f*(f\/(f*f*f**(-11)\/f*f))\/f)*f**(-2\/49)*f\/(f\/(f*f\/f**(-4\/3)))*f**6 assuming f is positive.\nAnswer: f**(190\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9128, -3\/19, -4, -2\/11, -1 in descending order.\nAnswer: 9128, -3\/19, -2\/11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-4))\/1 - -4. Is 6 a factor of 2 - o\/3*-11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3 = -2*x + x, 2*h + 21 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/13)*j)\/j**2*(j*j**1*j)**(-13\/8))\/((j*j**(-2\/13)*j**(-2\/5))\/(j**(-2\/3)*(j\/(j**(-2\/5)*j)*j)\/j*j)) assuming j is positive.\nAnswer: j**(-569\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12) + -8 + -6 - 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 3*j - 12 + 12. Let v(w) = -3*w**2. What is v(d(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2293 - 116939\/9172. Calculate the common denominator of f and 91\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 5*n + 40. Let s be w(-22). Let j = -191 - s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 713768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = l + 3*l - 209, -3*l = -2*j - 128. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178 - -533\/3. What is the closest to 2\/11 in 8, 3, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**3 + 106*p**3 + 29*p**3.\nAnswer: 101*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.1, 0 in increasing order.\nAnswer: -0.1, -0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*c = -226*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14521630 + 34?\nAnswer: -14521574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 4 + 4)*(98*o**2 - 16*o**2 - 41*o**2).\nAnswer: 164*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - 22 + 26 + 2*q + q**4 to l*q**2 + g + o*q + y*q**3 + n*q**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 + -1.7. Let z = i + -4. Let l be ((-8)\/22)\/(4 + -2). What is the third biggest value in l, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(12\/(-16))\/(-3). Suppose 804 = 5*y + x, -460 = k*y - 6*y + 5*x. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -0.54\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*s - 8 + 8 + 184*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + s + 3*s - 72, -5*s = 4*r - 75. Suppose 3*m + 2*m - r = 0, 2*m = -u + 6. Is 0 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 5, l: 4, b: 4, x: 2}. What is prob of picking 1 x and 1 l?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 198726066611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 80*f + 3. Let i(j) = 80*j + 3. Let a(r) = 2*i(r) - 3*y(r). Is a(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62\/132 - (-2)\/(-6))\/(11\/22)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k. Let o(v) = -9*v. Let t(l) be the second derivative of -5\/6*l**3 + 0*l**2 + 4*l + 0. Let n(p) = -4*o(p) + 7*t(p). Determine n(c(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1840 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**4 - 4*n**5 - 6*n**4 + 5*n**4 - 181*n**2 - 2*n**4 + 2*n**4 wrt n?\nAnswer: -240*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 - 1 + 0 + 2 - 2 - 4 + 4 + (4 - 4 - 2)*(-3 + 2 + 0) + 0 + 6 + 2)*(-4*c**2 - 4*c**2 - 3*c**2)*(2*c + 0 + 0).\nAnswer: -154*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -30*h**2 + 68*h + 3. Let c(n) = 2*n. What is p(c(q))?\nAnswer: -120*q**2 + 136*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4428642929.\nAnswer: 307, 14425547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 9*v + 13. Let g(i) = i + 10. Let l be g(-8). Suppose -l*w - 23 = 2*h - w, 3*h + 32 = -w. What are the prime factors of z(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 12*h**2 + 14*h - 22. What is t(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132647666 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160012295 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/((-80)\/112*48\/560).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/9699675 and -21\/13225.\nAnswer: 223092525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3675+-1289\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-644)\/315)\/23*9\/12?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/255 - -29\/85. What is the nearest to 1\/4 in z, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2 - 3 - g + 5. Let t be r(0). Solve v + 3*v = -t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0284385.\nAnswer: -0.0853155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 881901384 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3932734 and -3.\nAnswer: -3932737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let t(y) = 0*y**2 - 2*y**2 - 2 - 2*y - y**d. Determine t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-3\/7)*h)\/h)\/h**17 assuming h is positive.\nAnswer: h**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -2 + -1 + 1054 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 12. Let n = -10.9 - y. Which is the nearest to n? (a) -0.3 (b) 2\/17 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -18.415?\nAnswer: -19.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 94 + -244 + 69.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 - m**2 + m. Let g = -16 - -15. Let a be l(g). Let 4\/7*j**a + 0*j - 6\/7*j**3 + 0 + 2\/7*j**4 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5068530, -5068546, -5068600, -5068710, -5068894, -5069170, -5069556, -5070070?\n\"Answer: -3*w**3 - w**2 + 8*w - 5068534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 3 (c) 29 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -43*y - 2. Let p be 4\/(-5)*15\/(-6). Let c be b(p). Let a = c - -237. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40836105*q**3 + q**2 + 132521410*q wrt q.\nAnswer: -245016630*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*l - 25 = -0*d, d - 11 = 2*l. Let y = -15 + d. Calculate the greatest common factor of y and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -225887, -451595, -677121, -902465, -1127627?\n\"Answer: 91*r**2 - 225981*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -52*o**2 + 31*o**2 + 24*o**2. Let g(t) = -7*t. Determine g(l(j)).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 379*z**3 - 10*z**2 + 5*z. Let n(k) = -1896*k**3 + 48*k**2 - 24*k. Give -5*n(v) - 24*s(v).\nAnswer: 384*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*g + 9, -p + g + 21 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9967059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y)**(17\/3)\/(y**(-1)\/y**(8\/9)) assuming y is positive.\nAnswer: y**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0310017241 rounded to five dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 48*p**3 - 4 - 9*p**3 - 12*p**3 + 2*p**4 + 23*p**3 - 7*p as v*p**2 + m + u*p + f*p**3 + q*p**4 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 54*n**2 - 270. Let r(d) = -d**2 - 1. What is -270*r(w) + y(w)?\nAnswer: 324*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35289378869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/48 - r**5\/40 - r**4\/24 - 6*r**2. Find q such that w(q) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 28152 = 2*i. Suppose 12*j + 11*j = i. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 44 - (6*1)\/(33\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -37*v + 97. Determine m so that 69*m + 90*m**v + 231*m + m**4 + 311*m**3 - 347*m**3 + 2*m**4 - 1125 + 0*m**4 = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + sqrt(2448)*1*-1 + 0 + sqrt(2448) + 0 + (-3 + sqrt(2448) + sqrt(2448)*1)*4 + -3 + -5.\nAnswer: -20 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3641, -7503, -11365?\nAnswer: -15227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:19 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 11:11 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 6121 + 6122 + 3670505*t - 3670505*t.\nAnswer: -11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/72*((-33)\/(-77))\/((-24)\/1848)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 4464.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 1439*t - 54602. Give w(-515).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43760 is divided by 1708?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15629*i**4 + 7*i**3 - i + 2726756 wrt i.\nAnswer: 62516*i**3 + 21*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(11) - (sqrt(11) + 2 + -2 - sqrt(11))) - (sqrt(11)*2 + 1 - (2 + sqrt(11)*-2)))*1.\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 1, b: 11, h: 1}. What is prob of sequence bhn?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -23 (b) -2\/7 (c) -2 (d) 2\/7 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 - r**3 + 3*r**2\/2 - 3*r. Let f be k(6). Suppose -163 + 66 = -4*i - f*y, 0 = y - 3. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n + 12 - 12 + (-n + 4*n - n)*(2 + 4 - 5) + 0*n + 2*n - n + 3*n - 3*n + 2*n - 2*n + 4 - 4.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-26 - -37) + -37 + 25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 5. Let a = -15 - -10. Let x = a - -11. Let c be j(x). Solve -4*z + 3 + c = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 3987.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1816 * -1487\nAnswer: -2700392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 5793?\nAnswer: 69516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -41. Let z be (a\/9 + 2)*1. Let p = -0.4 + 1.4. Sort z, 0.2, p in decreasing order.\nAnswer: p, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052150 is divided by 263028?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 17. What is the units digit of r(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 - 200. Calculate the remainder when p is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265 + 144. What is q rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = -43. Let n be ((-6)\/(-5))\/((-2)\/10). Let a = n + v. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3949195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2daa1 - 2f8?\nAnswer: 2d7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 4, b: 2, z: 9, t: 4}. What is prob of sequence zzz?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -26\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17441440.\nAnswer: 2, 5, 67, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4236.\nAnswer: -1\/4236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/56*(-20)\/64.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 11) in base 12?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * -0.195088.\nAnswer: -0.06242816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-7))\/((-55)\/((-1540)\/(-12)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 476567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500) + 3)**2.\nAnswer: 80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 116733814.69 - 57494\nAnswer: 116676320.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -432 (base 5) to base 11\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 - 204*l**2 + 474*l**2 - 233*l**2 as n*l + g + w*l**2 and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**0)*b)\/b**5*(b**(-4\/7)\/b)\/b**(-6) assuming b is positive.\nAnswer: b**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 22 = -7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3 - 15*y - 3 + 7. Give k(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621589717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5211.311 litres?\nAnswer: 5211311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + -21124?\nAnswer: -20514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q - 44. Let l(s) = -8*s - 44. Let v(n) = -4*j(n) + 3*l(n). Let i be ((-4)\/70)\/((-1)\/(-25))*7. Let f be v(i). Solve 4 + 16 = -f*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 11 = 4*r + 39 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 19.4. Let t = -0.02 - -0.32. Let s = -0.5 + t. Which is the second smallest value? (a) i (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-96)\/(-352)*-99?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/(-2))\/1*(-2)\/(-105)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -4.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 6*d + 0*d - 3*d + 18*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + l**2 - l**2 + (3*l - l - 3*l)*(3*l**3 + 4*l**3 - 4*l**3) as f*l + u + m*l**3 + o*l**4 + a*l**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 3*q + 3. What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*(-7 - (-195)\/30).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 3*j = 5*q + 30, 4*q - 4*j = 32. Suppose -u = -q*u + 4. Find the first derivative of -2 + 2*n**2 - 2*n**u + n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57625465\/(-1740))\/467 + 71?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 432\/972*6\/20?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and -5.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 4*n + 20 + 63*n in the form d + q*n and give q.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21337, -21401, -21603, -21943, -22421, -23037?\nAnswer: -23791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -91.985, 1, -18\/19, 5\/6, 0.4 in decreasing order.\nAnswer: 1, 5\/6, 0.4, -18\/19, -91.985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240 = -51*b + 44*b. Calculate the remainder when b is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*p**4 - 757529*p**3 + 15435824*p.\nAnswer: 108*p**2 - 4545174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3128)\/(-840) + -3 + ((-2)\/3 - 0)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12943 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662 + 131*s**2 - 662.\nAnswer: 131*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-20) - 9\/(-5). Suppose 5*m - 67 = 3*v, -g*m - 5*v - 5 = -38. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 19443549.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26223036 by 4.\nAnswer: -6555759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 203*b**2 + 122*b - 65420. Give z(202).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 30*l - 5. Let g be f(16). Solve -3*m = h - 10 - 3, h - 5*m = -g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/18344 and -21\/5378?\nAnswer: 49327016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1299 and 6.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y + 203. Let u be n(17). Find the second derivative of -103*a**5 - 25612*a**2 + 2*a**3 - u*a - 2*a**3 + 25612*a**2 wrt a.\nAnswer: -2060*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-858)\/(-16146)*(-48)\/(-88)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k**(-2\/3)*k))**(-11)*(k**(2\/7))**(-27))**(-5\/4) assuming k is positive.\nAnswer: k**(1945\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -47 + -2226 + 2211.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18967598?\nAnswer: 2, 13, 31, 101, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/33 + (-86)\/110. Let g be (-2)\/(-2)*(-1 + 2). What is the nearest to 1 in -0.3, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2770, 6432, 10096, 13762?\n\"Answer: r**2 + 3659*r - 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a factor of 5787131888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d**2. Let g(s) = 310149*s**2. Calculate h(g(p)).\nAnswer: 961924022010*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 102*f**5 - 267*f**4 + 183*f**3 + 33*f**2 - 57*f + 6 = 0.\nAnswer: -1\/2, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r - 2. Let b be a(-2). Let t = 12 + 8. What is the smallest common multiple of (-16)\/(-3) + b\/(-3) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11\/4*w - 1\/2 - 4*w**2 - 7\/4*w**3 = 0. Calculate w.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)\/j)\/(j**(2\/13)*j) assuming j is positive.\nAnswer: j**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 3 (c) 0.1 (d) 9.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -946, -3947, -8940, -15919, -24878?\nAnswer: -35811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10205 + 3871 = 69*s. Calculate the remainder when s is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 3, -4\/9, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 252083, 251977, 251809, 251579, 251287, 250933, 250517?\n\"Answer: -31*t**2 - 13*t + 252127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 206*z - 9716. What is g(47)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(3 - 2*v - 3) + v**2 - v**2 + 9*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96.5 and 5.\nAnswer: -482.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 59*h**2. Let m(v) = 6*v + 88 - 270 + 88 + 94. Calculate m(t(y)).\nAnswer: 354*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, -1, 5, 14, -291.\nAnswer: -291, -1, 5, 14, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 51 + 2\/63*m**3 - 1\/3*m**2 + 0*m. Find v, given that y(v) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*k + 42, 5*d + 159 = 2*k + 40. Suppose -5*l = 10, 2*z = -3*z + 4*l - 117. Find the common denominator of (-20)\/(-14)*(-5 - d\/4) and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7611710 by -7611710.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Let y = 147 - 102. Suppose -4*g + s = -81, 0*s + y = 2*g - r*s. What is the highest common factor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610555821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 208305346 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7) - (-46)\/14. Suppose -m*s + 5*s = 0. Does 7 divide (1 - (2 - s))*-19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -1, 4 in descending order.\nAnswer: 4, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329807\/130 + 2537. Let i = -3327\/520 + f. Which is smaller: i or 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 877834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -77 (b) -4\/9 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 40*v**2 + 3*v - 21. Let q be p(3). Suppose -q - 72 = -5*k. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152346, -156018, -159692, -163368, -167046, -170726?\n\"Answer: -a**2 - 3669*a - 148676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*a - 1691*a + 186*a + 6*a**2.\nAnswer: 6*a**2 - 2001*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3 + 13784*x**2 - 110386*x + 96600 = 0. What is x?\nAnswer: -6900, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*r = -358 + 330, -r = -5. Solve -433 = l*q - 370 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6999828, -13999634, -20999444, -27999258, -34999076?\n\"Answer: -2*a**2 - 6999800*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12.75, 0, -2\/3, -1\/5, 2\/5?\nAnswer: 12.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2774514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n + 4*c - 16, -2*c - 6 = -5*n. Suppose 4*v = n*v + 66. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15)\/sqrt(5) + sqrt(3))*4)**2 + (sqrt(3) - (sqrt(48) + 2))**2 - (sqrt(147) - (0 + sqrt(147))*3))*6.\nAnswer: 156*sqrt(3) + 1338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-1)\/(-36)). Let x be (r\/8)\/((-15)\/40). Suppose s + x = 2*s. Find the common denominator of -14\/3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 73. Suppose -v = -k - 127, -139 = 2*v - 3*v - 5*k. Let u = v - c. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i**2*p**2 - 4*i**2 - 24*i - 14*p**3 wrt p.\nAnswer: 18*i**2*p - 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 1. Let i(l) = 2*l**2 - l - 3. Let z(f) = -i(f) - 3*t(f). Find v, given that z(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:54 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 177 + -1?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89500325 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6 = 2*l - 3*s, 4*s - 19 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -115. Suppose 15 = -4*p + x. Let q = p + -5. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/15*(-39)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 6*c + 11. Let o be v(-6). Suppose 3*f = -g + 46, -2*g - 57 = -4*f + o. Calculate the highest common factor of f and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 133*g**3 - 1 + 54*g**3.\nAnswer: 187*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8438*p - 2 - 17345*p + 8587*p.\nAnswer: -320*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4049919392 rounded to five dps?\nAnswer: 0.40499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192443282 and 22.\nAnswer: 2116876102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 25*x**2 - 7*x + 6. Let w(h) = -h + 1. Calculate -r(s) + 4*w(s).\nAnswer: -25*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 i when four letters picked without replacement from ddchcciddhihd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**3 + 36*z**3 - 10*z**3.\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3272590, 3272604, 3272618, 3272632, 3272646?\nAnswer: 3272660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 15*h - 47 + 122, -3*h = -h - 3*z + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 488 + -308. Suppose -x + 32 = x + 2*o, 0 = -5*x + o + 104. Calculate the greatest common divisor of r and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*b**3 + 63*b**3 + 64*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24089046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 49. Let o be u(-26). Let c(b) be the first derivative of 4 + 2\/3*b**o + 2*b + 1\/2*b**2 + 1\/4*b**4. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*r**2 + 8*r**2 - 33*r + 9*r**2 + r**2 wrt r?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 0*k - 54 = k, -175*k = 5*b - 170*k + 100 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:49 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/240 + 217*d**4\/96 + 9*d**3 - 254*d**2 + d + 2. Solve x(b) = 0 for b.\nAnswer: -216, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 6. Suppose 7*t - h = 4*t. Which is smaller: t or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 1662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0576 + 0.057602174. Round l to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -519*q - 129*q - 135*q as l*q + g and give l.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1044379*v + 2088748. Calculate q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 3*k**5 + 2*k**5 + 36*k**5 - 54*k**2 + 54*k**2 + (k**4 - 2*k**4 + 0*k**4)*(4*k - 5*k + 3*k).\nAnswer: 37*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:20 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514753 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/288 and ((-9)\/(-72))\/(66\/(-31)).\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -65. Let g = h - 10.55. Let f = g + -0.45. Is f < 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -651*o - 138674. Give b(-213).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6257827307\/549 - 11398597. Let y = o + 103\/122. Find the common denominator of 37\/8 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.9079 - -0.0079. Let o = u - -25.6016. Let t = -0.327 - o. Round t to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/15 - 32*m**4\/15 - 182*m**3\/15 - 144*m**2\/5 - 24*m = 0. Calculate m.\nAnswer: -6, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.34356 (b) 75.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50119 by -1068.\nAnswer: 50119\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-2)\/z)\/(z*z**(-2\/13)*z*z*z))**(3\/2))**(3\/28))**(-1\/23) assuming z is positive.\nAnswer: z**(801\/16744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1147*b**3 + 6*b**2 + 5*b + 13. Let w(m) = -2292*m**3 - 12*m**2 - 11*m - 26. Let q(x) = -9*k(x) - 4*w(x). Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 5*z + 6. Let j be y(3). Let g(w) = j*w**2 + 17*w**2 - 14*w**2. Let q be g(-1). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g - 109*g = -164076. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -2)\/(0 + 1). Suppose 4*g + 3*f - 85 = 0, 0 = -g - q*f - 3*f + 17. Suppose 2 = -h, 2*k = 4*h - 5*h + g. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755 (base 9) to base 5.\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8566?\nAnswer: 2, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73\/19209249 - -224305360688\/273635752005. Let c = x - 2\/1295. What is the common denominator of 0 - (64\/22 + -2) and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 21*u + 1. Calculate the remainder when 212 is divided by m(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/168)\/(1\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*g**4\/7 - 102096*g**3\/7 - 26999816*g**2\/7 - 475821744*g\/7 + 19076076\/7 = 0. What is g?\nAnswer: -501, -19, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 3067697?\nAnswer: 112\/3067697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 47 + 63. What is the highest common divisor of k and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/27)\/((-2)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -i + 448, 5*q - 10*i = -7*i + 2232. What is the remainder when q is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262 - -394. Suppose -2*q - j = -152. Calculate the smallest common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35737017?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21804337.\nAnswer: 21804337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014318 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111010000 - 10?\nAnswer: -11001111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -634521 smaller than -634419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -120. What is the remainder when 105 is divided by h\/18 + 2420\/45?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 39*l**2 - 21*l + 234. Does 24 divide z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120214445 (base 7) in base 12?\nAnswer: -25b307b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/10 + r**4\/2 - r + 12. Solve v(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzkz. Give prob of sequence zk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*u**4 + 1560*j**2 - 207*j*u wrt u?\nAnswer: -4*j**2*u**3 - 207*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l + 31. Let o be a(4). Suppose 2*h + 5*w = -2*h + 913, o*w = -2*h + 455. Calculate the highest common divisor of 174 and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7459 and 3.08.\nAnswer: -22973.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 9\/20, 12\/1247, 0.21, 0 in increasing order.\nAnswer: 0, 12\/1247, 0.08, 0.21, 9\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026004131 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92924 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 3*s - 5. Give u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -6?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 + 448*j**3 - 7982*j**2 - 72940*j - 110400 = 0.\nAnswer: -240, -5, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -7.1 (b) 4\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + -76. Calculate the remainder when 334 is divided by (-4 + 16\/4)\/3 - m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -17. Suppose -p + 4 = u. Let t(l) = l**2 - 1. Calculate t(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 7*a**2 + a + 4. Let k be u(-7). What is the tens digit of (2\/k - (-860)\/30) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/15 and ((-1060)\/1484)\/(103\/17 - 2).\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29766 and 2214.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2 - 5 + 4*i - 4*i**2 - 696*i**3 + 704*i**3. Is f(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*s + 8. Let g = 3 - s. Suppose -49 = -g*x + 11. What is the remainder when x is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - -10 - 15 - 40 - (12 - (-2 + 3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 88\/(-3)*(-24000)\/(-4). What is q rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 1. Suppose f = 5*n - 3, -f + 4*n - 9*n + g = 0. Suppose 0 = -433*h + 418*h + 60. Solve -3 = h*q + f*c + 7, -q + 20 = 5*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 9. Let q be -1*r*(-18)\/(-39978). Let b = 73309\/17768 + q. What is the common denominator of b and -65\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152118768 and 3073.\nAnswer: 1064831376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*1\/4*3\/((-30)\/40*9).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h - c, -2*h + 12 + 0 = 4*c. Let s(d) = d - 17. Let o(v) = 3*v - 50. Let k(x) = 4*o(x) - 11*s(x). Determine k(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1373014929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 4, 0.5, -13\/324 in increasing order.\nAnswer: -4, -2, -13\/324, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -78951*z. Let c(a) = -36*a**2. What is c(m(f))?\nAnswer: -224397374436*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-636)\/247 - (-92)\/598. Let y = 664\/133 + n. Let -y*q**4 - 2\/7 + 2\/7*q - 20\/7*q**3 + 18\/7*q**5 + 20\/7*q**2 = 0. What is q?\nAnswer: -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79.494 + -80. Let n = -0.29 - p. What is n rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = -0, 0 = 3*p - 3*i - 57. Solve -9*w = -f - 4*w - p, -2*f - 1 = w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -5*f - 8. Suppose 0 = 2*n + f*n - 228. Suppose 17*m - 85 - 238 = 0. What is the greatest common factor of m and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7149 + -7148.9. Let d be (-16)\/66 - (-1)\/3. What is the biggest value in d, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8428 - 4107. List the prime factors of m.\nAnswer: 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-12)\/(-840)*4\/(-6).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 49, 70, 91, 112, 133?\n\"Answer: 21*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113872293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 5*q**2 + 5*q + 5. Let m(b) be the third derivative of b**6\/40 - b**5\/10 + b**4\/4 + b**3 + 12*b**2. What is 6*i(w) - 5*m(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 19674 = -19644 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t, -4*j = -3*t - 48. Suppose -j = -5*c + 3. Let s = -232 - -239. Calculate the smallest common multiple of s and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 10*l**2 - 11*l + 11. Let v be 9 - 5 - (20 + -5). Determine r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1199706873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 26. Let x(y) be the third derivative of -y**5\/4 - 4628*y**2. What is x(z(k))?\nAnswer: -15*k**2 + 780*k - 10140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 8*n**2 + 11*n - 116. Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -518\/5. Which is the closest to g? (a) -2\/3 (b) -5 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 3*h. Let w(x) = x**3 - 4*x**2 + x + 4. Let u(d) = -d**3 + 9*d**2 - 2*d - 9. Give h*u(y) + 9*w(y).\nAnswer: 5*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-23\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104506 and 2.\nAnswer: 104506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25*4896\/(-153).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214203231 - -3?\nAnswer: 214203234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -998*t + 27. Let r(c) = -2978*c + 82. Let s(i) = 10*d(i) - 3*r(i). Find the first derivative of s(m) wrt m.\nAnswer: -1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*-1*((0 + sqrt(320)*-3)*5 + -5)**2.\nAnswer: 6000*sqrt(5) + 360121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let k(t) = 8842006*t. What is l(k(d))?\nAnswer: 156362140208072*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238, -1352, -1706, -2426, -3638?\nAnswer: -5468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m - 336. What is the lowest common multiple of z(-25) and 1750?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkrzkkkkzrzkzkk. What is prob of picking 2 z and 2 k?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4570557564?\nAnswer: 2, 3, 12329, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-666)\/185)\/((-66)\/(-55)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 + -0.25. Put i, 0.4, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*o + 1859975 = 0, -4*t - 5*o - 4650025 = t. What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228104 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 102*i**2 - 1764*i + 356. Give k(80).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + f**2 + f**2)*(14 - 47*f**2 - 7 - 154*f**2) + (7*f**4 - 2*f**4 - 3*f**4)*(-3 - 2 + 3).\nAnswer: 398*f**4 - 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/19*g**3 + 2\/19*g**2 + 0 + 0*g = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (0 - 6) + (3 - 10 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0 (c) -1 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9012433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 657, 638, 615, 588?\n\"Answer: -2*o**2 - 13*o + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1)*t*t*t\/t**(-7)*t\/(t\/((t**(-1)\/t*t)\/t))*t**(3\/2))\/((t**(-1)\/t*t**7)\/((t*t**(1\/6)*t)\/t**(1\/3))) assuming t is positive.\nAnswer: t**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**4 - c**3 + 2*c**2 - 2*c. Let q(h) = -4*h**4 + 5*h**3 - 7*h**2 + 10*h - 44. Let x(m) = 5*l(m) + q(m). Find the first derivative of x(s) wrt s.\nAnswer: -36*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -768, 2, 5 in increasing order.\nAnswer: -768, -4, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67277.26km in micrometers?\nAnswer: 67277260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d**2 - 5*d + 2. Let l(t) = 13*t**2 + 7*t - 3. Let u be ((-222)\/(-36) - 7)\/((-1)\/6). Determine u*l(z) + 7*r(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -0*b. Suppose n = -b*u - 2*n - 21, 6 = -2*u - 4*n. Sort 3, u, 1.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*p - 15314 = -47750 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d (base 15) to base 6.\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/7, -41, -5 in ascending order.\nAnswer: -41, -11, -5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 66*v - 721. Let s be c(11). Solve -42*q + 47*q = s, r = -3*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 35*i + 998. Is m(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 9. Suppose 4*x - 64 = -4*b, -b - 56 = -o*x - 0*b. Calculate the lowest common multiple of 4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.79974cm in millimeters?\nAnswer: 167.9974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1098797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 2. Let b(m) = 250 - 251 - m + 4*m - 2*m. What is -8*b(k) + 3*j(k)?\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136277 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2. What is the remainder when 65 is divided by q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/5*p**5 + 0*p**2 - p + 0 + 0*p**3 + 5\/3*p**4. Find the third derivative of x(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74828681 and 5?\nAnswer: 74828676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 6728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.44, 0, 172, -0.3, -1, -4 in increasing order.\nAnswer: -4, -1, -0.44, -0.3, 0, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 15*y**2 + 7. Give b(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304 or 303?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = 4*t - 12, 4*t = o + 12. Let w(a) be the second derivative of o*a**3 + 1\/6*a**4 + 0*a**2 - a + 0. Let z(f) = -3*f**2. Calculate z(w(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4673 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: Collect the terms in 1137653*n + 2*n**2 - 1137653*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 41*v + 491427 = 45*v, 3*v = 3*r - 491448. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 14 = -c - 5*d, -10 = -5*d. Let n be 2\/5 - 2\/5. Factor -32\/3*r**c + 0*r + n - 2\/3*r**2 + 16\/3*r**3.\nAnswer: -2*r**2*(4*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.27 (b) 1\/9 (c) 5 (d) 245 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 40. Let o = -0.4453 + -35.8147. Let w = u - o. Round w to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*p + 106*p + 28*p - 192*p + 1 + 55*p + 42*p.\nAnswer: 136*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26373 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 15 + -5 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -180156915 divided by 4003487?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220111012102 + 11212?\nAnswer: 1220111101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -221, -210, -195, -176, -153?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1290986, 1290985, 1290984, 1290983, 1290982, 1290981?\n\"Answer: -k + 1290987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 230\/69 - (-1)\/(-3). Find the third derivative of -3 - 80*c**2 + 12*c**3 + 24*c**r + 82*c**2 wrt c.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*r**3 + 0 + 0*r - 2\/3*r**2.\nAnswer: -r**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -9*r**4\/4 - 2*r**3 + 5*r**2\/2 + 21*r - 121. Is b(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, 3, -7.2, -2\/5, 2\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 60 = -5*q, -3*q = -x + 4*x - 60. Suppose 0 = 2*r - 2*p - 6, 2*p + 6 - q = -r. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/253979685 and 103\/43332.\nAnswer: 1015918740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 z when three letters picked without replacement from {d: 1, z: 1, n: 2, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6870+475560\nAnswer: 468690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16 = 3*v, -4*v + 22 = 21*y - 24*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(4 - (-3)\/(-3)). Let l = 9 - v. Suppose -5*p - 3*x + 53 = -15, -p = x - l. What is the highest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 3*p**4 - 3*p**4 + (3*p**3 + 0*p**3 - p**3)*(-2*p + 4*p - 4*p) + (-3*p**2 + 3*p**2 - p**3)*(-p - p - p) + 9*p - 9*p + 13*p**4.\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 11 = -3*z. Suppose -4*c = 2*g + z, 3*g - 2 - 4 = 3*c. Is g at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 12 = -36. Let j(r) = r**3 + 3*r**2 - 4*r - 2. Let l be j(-4). What is the remainder when l\/z + 412\/24 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 15*d + 28, d = 1875*v - 1878*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Suppose 3*i + 5*k = 1, 3*k + 7 = 5*i - 6. Let u(m) be the first derivative of 3*m**2 - m**i - 2 + 9 - 3*m**2. Calculate o(u(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 31. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-4)\/42)\/(16\/6))\/(-23 - -25). Which is the second smallest value? (a) -0.07 (b) l (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324029256 divided by 3.\nAnswer: -108009752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1025 and 32390?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 4*w - 2*w)*(-3*w**3 + 5*w**3 - w**3) + 879*w**4 - 129*w**4 - 77*w**4.\nAnswer: 672*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 1. Let t be ((-6)\/(-5))\/((-14)\/35). Is i - (-1)\/(t\/(-42)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1*t)\/(t\/(t\/(t*t*t**(2\/5)*t))))**(-7\/4)\/((t**0*t*t**(-1))\/(t*t**(2\/13)*(t\/(t\/(t\/(t\/(t*t**(-1\/2)))*t)*t))\/t)) assuming t is positive.\nAnswer: t**(631\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {u: 1, k: 2, y: 5, h: 1, r: 2, f: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.5 (c) 5.25145 (d) 8\/9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13184 divided by 412.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(5) + (sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5) + -4 - sqrt(5)) + 5)**2 - (sqrt(40)\/sqrt(2)*-6)\/(5*sqrt(4)*-2))*-1.\nAnswer: -6 - 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49759*f = 49838*f + 1027 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 6*b - 15*b**2 + 5 - b. Let j be f(-2). Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 71, -24, -257, -670, -1305?\nAnswer: -2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**2 + 0*u**2 + 4*u**2 + 8656*u - 8598*u - 9 wrt u?\nAnswer: 6*u + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 - 9.78. Let z = -0.02 + y. Does 3\/11 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**3 + j**4 - 3*j**3 - 2*j**4 + (-2*j + 2*j - j)*(-39*j + 39*j - 5*j**3 + 2)*(2 - 1 + 0) in the form l*j + x*j**3 + v*j**4 + w*j**2 + q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4, -h = -2*b + 5 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1\/13, 0.007, 0.3, 0.049, 0.146?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.23334l to millilitres.\nAnswer: 45233.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose x - 50 = -4*d - 0*d, x + 2 = n. What is the remainder when 50 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2 (c) 5\/252 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 4 = -i + 2*n, 4*i - 1 + 19 = n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 82?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135*10\/100*1*-2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-63)*-6*147\/(-84)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v - 39. Let m(r) = 3*r. Determine m(y(f)).\nAnswer: -3*f**2 + 15*f - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 41 = 5*l, -1062 = -3*l + 5*d - 1057 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/10)*r**20\/r)\/((r**(-2\/19)\/r)\/r**(2\/3)) assuming r is positive.\nAnswer: r**(12467\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1846868*b + 2483971.\nAnswer: 1846868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z**3 + 570469095*z**2 + 6779895376701564*z - 5084921853415044 = 0.\nAnswer: -23769546, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/481 and -9\/445.\nAnswer: 214045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2\/3*b**4 + 1\/10*b**5 - 8 - 1\/3*b**3 + 0*b**2 - 4\/15*b**6 - 7*b. Let h(a) be the first derivative of p(a). Factor h(f).\nAnswer: -2*f*(f - 1)*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33374801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.574 - -0.644. Let g = w + 2.03. Let x = 0 - 2. Which is the second biggest value? (a) x (b) -0.5 (c) 0 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - a26037?\nAnswer: -a26095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + 0.3.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102377088 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ef7ec (base 16) in base 6?\nAnswer: 33005312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 60*z**3 + 25*z + 25. Let u(a) = 15*a**3 + 6*a + 6. What is 6*c(y) - 25*u(y)?\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1955149 and 75\/2952674.\nAnswer: 144681026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m - i, -2*i = -5*i. Suppose -2*x + k = -1259, x = 5*x + m*k - 2536. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 - 220*a + 104. Let i be w(24). Solve 5*s + 3*f - i = 4, -2*s - 4*f = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150111205 (base 6) to base 11\nAnswer: -181a614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 14986 = 199*t - 196*t, 0 = t + 3*u - 4986. What is the highest common factor of t and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*d**4 + 6*d - 6*d - 26*d**4 - 51*d**4 - 127*d**3 + 23*d in the form c*d**4 + a + z*d + r*d**3 + p*d**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311111 + -110?\nAnswer: 2311001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b**2 - 108*b - 1709. What is h(-14)?\nAnswer: 2743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -12, 2 in decreasing order.\nAnswer: 4, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 - -249. Let l(k) = -3*k - 4. Give l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0120127 decades in millennia?\nAnswer: 0.000120127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -2\/3, -5, -0.1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, 13, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*-1*-5 + sqrt(204))) + (sqrt(204) - -1*sqrt(204))*-1)\/(-4*sqrt(60)\/sqrt(500)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 750655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -656\/5 + 127. Suppose 5*a - 75 + 100 = 0. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 3*j - 554, 3*j = 3*b - 336. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39686 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13691328 by 334.\nAnswer: 40992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003 (base 13) in base 10?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.124*174.\nAnswer: 21.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.3868481 + -6.04621. Let s = g + 0.1593675. Let m = -2.5 + s. What is m rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/2 - (-1976)\/364?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/7 + 17864*m**3 - 1954875368*m**2\/7 + 1116857280*m - 7817500800\/7 = 0. Calculate m.\nAnswer: 2, 31260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/((-660)\/(-18)))\/(54\/80).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 42*j**2 - 54*j - 240. What is the remainder when l(-41) is divided by 123?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j**2 + 2*j**2)*(0 - 2 + 1) + (3*j + j - 3*j)*(16*j + 10*j - 94*j)*(1 + 1 - 6).\nAnswer: 271*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -226\/3, -0.001, -1.3, -0.06?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/12 + -3\/4. Which is the nearest to s? (a) -2\/7 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 4. Let o be p(3). Let x be (o\/8)\/(6\/(-24)). Let d be x\/(-5) + (-4)\/20. Solve d = -6*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 + s + 1. Let w(x) = -14*x**3 + x**2 - 2*x + 24. Let y(k) = 2*h(k) + 2*w(k). What is the first derivative of y(v) wrt v?\nAnswer: -78*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/2194400 and 75\/75116.\nAnswer: 195301600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 24 = -4*y, -21*y = -20*y + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/((-49)\/(10290\/(-5175)))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10828 - -2131?\nAnswer: 12959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.365 or 34.475?\nAnswer: 34.475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -480 - 5*l**3 + 312*l + 218*l - 100*l**2 - 70*l = 0.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/130 + 1\/26. Let l be 10\/4 - (-297)\/(-114). Let k = 75.2 + -75. Which is the nearest to l? (a) d (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*(3 + 1). Suppose 0 = -2*l - l + p. Suppose g + 78 = 5*k, l*g = 3*k + 8 - 59. What is the highest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31\/(-117 + 24))\/(3\/(-5650083)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1403615*k**2*l - 2805301*k**2 wrt l?\nAnswer: 1403615*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 1\/6*r**4 + r**2 + 1\/20*r**5 - 3*r + 0 + 1\/6*r**3. Let z be h(-2). Is -1\/4 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from httyrthhrhrxhtt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -60, -76?\n\"Answer: -16*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -31*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21 + (1 + 8\/(-4))*0?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*0\/6. Sort -3, 3, 2, q in descending order.\nAnswer: 3, 2, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*h + 8. Suppose -h*s - 10 = 6*k - k, 0 = 4*k. Let t be (s\/4)\/((-1)\/8). Let x(o) = -o + 9. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 - 5 = 0. Suppose u = 4*f - 39. Suppose -19*t + 14*t = -20. Calculate the remainder when f is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2630 - -2617.99. Let x = -0.79 + f. Round x to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 609*k. Let b(m) be the third derivative of -m**4\/12 + 1328*m**2. Calculate b(z(i)).\nAnswer: -1218*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7763598458 to the power of 1\/3, to the nearest integer?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6*q + 12. Let f(o) = o - 5. Let v be f(7). Let r be p(v). Suppose -440 = -r*n - n. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 565*a**3 - 837*a**2?\nAnswer: 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106176346099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30132, -124929, -282924, -504117, -788508?\nAnswer: -1136097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152006593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13. Let z(q) = -q**2 - 3*q + 18. Let g be z(-6). Suppose g = 10*l - 19 - 1. Suppose -l*t = -5*t + 4*t. Calculate b(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.3, -0.007, -1, 0, 1199?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301.1841 + 0.0841. Which is smaller: -1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 254, 510, 766, 1022, 1278, 1534?\n\"Answer: 256*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 9*f + 10. Let s be k(6). Let u(n) = 15 - 3*n + 3*n + n. What is the units digit of u(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 + 2. Let s be d(-4). Suppose s*m - 3*m = -22. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3139304 + 58?\nAnswer: -3139257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 - i. Suppose b = 18*f - 23*f - 4, 5*b = f - 20. Let n(l) = -9*l**3 - 4*l**2 + 5*l. Calculate b*g(j) - n(j).\nAnswer: 5*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2037\/2 in 0.3, -2\/8847, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10933782, 10933792, 10933802, 10933812, 10933822?\n\"Answer: 10*p + 10933772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916370?\nAnswer: 2, 5, 7, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 16. Let g be u + -86 - (3 - (3 + 3)). Let t = 113 + g. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500687799 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -10. Suppose -5*p = -2*m - 10, 5*m + 1 = j*p - 5. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 3. Let v = -1\/46 - -25\/92. What is the third smallest value in q, v, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*y**2 - 787 + 1109 + 159*y**2 + 3653.\nAnswer: 645*y**2 + 3975","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*t + 60, -339*w - 4*t = -337*w + 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/165)\/((-19)\/95)*-33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -3 - 2) + (5 + 5 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9 - -7 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1583 divide 112326514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 4*t)*(5591*t - 5591*t + 482*t**2) + (0*t**3 + 2*t**3 - 4*t**3)*(-1 - 1 + 1) - 2*t**3 - 3*t**3 + 4*t**3.\nAnswer: -1927*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32432214 (base 5) to base 9\nAnswer: 466454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((-25 - -11 - -25) + 48)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 268 + 268.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -1\/23 (b) -9 (c) 5\/157 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/9 - 2*g**3\/9 - 242*g**2 + 242*g = 0. Calculate g.\nAnswer: -33, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14680661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -36. Suppose u*f + 2*d - 12 = 2*f, -5*f = -2*d - 23. Suppose -16 = -f*x + x. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294852 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26263441.\nAnswer: 83, 109, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -10, -40, -104, -214, -382?\n\"Answer: -2*t**3 + t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(24\/15))\/(3\/(-12)). Suppose 3*h - 23 = -0*h - f, g*h - 5*f = 5. Suppose -h*r - 134 = -1466. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178800 and 862710.\nAnswer: 34508400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1445*f - 2. Let l(v) = 6*v. Calculate y(l(k)).\nAnswer: -8670*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.2 (b) 0.06689 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13880510.31 less than -1?\nAnswer: 13880509.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and 25.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -211590560 divided by 8\nAnswer: -26448820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + 0 + sqrt(1584) - sqrt(1584))*-1*5 + -4 + 4)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 15, z: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 126?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(1584)*-5*-2 - (sqrt(1584) - (sqrt(1584) + sqrt(1584) + -3*(3 + sqrt(1584))))))**2.\nAnswer: -1728*sqrt(11) + 101457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20057101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-15 + 16 - -22) + -1 + -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47270157 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Suppose -y*p + 0*p = -32. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -106. Let h be 5 - (g\/(-28) + (-30)\/7). Solve 3*s + 4*u + 15 = 0, -3*s + 4*u = -h - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42737 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -8 (c) -2 (d) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 + -5.2. Let t = 33 - 21. Let i = u + t. Sort i, 0.5, 5.\nAnswer: 0.5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 337190 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -258\/556631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178143023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (12 + -18)*1\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6803299 to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**3 + 25*k**2 + 9*k - 47. Let n(q) = 13*q**3 - 26*q**2 - 9*q + 48. Let s(b) = -5*n(b) - 4*z(b). What are the prime factors of s(30)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 929171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 266, -1 in decreasing order.\nAnswer: 266, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 17*y**2 + 42*y + 8. Let p be k(14). Solve -5*b - 3 = 5*a - p, 0 = -3*a + 5*b + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + (2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 + -182.909. What is l rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-13 - 23) + 32)\/(-6))\/(-1 + 7\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/((108\/30 + -2)*7\/(-28)). Solve 25*n - d*n = -35 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(3 + -4)\/((-10)\/(-4)). Let d(o) = 13*o - 1. Let x(i) = -12*i + 1. What is q*d(k) + 5*x(k)?\nAnswer: -8*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 170460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42885 and 31623399?\nAnswer: 8577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331 - 10222000?\nAnswer: -10213003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = -9*k + 115, -3*k = 3*o - 57. Let t = 0.01 + -3.01. Which is the closest to 0.1? (a) t (b) 2\/9 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/12 - 14403\/(-9) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:35 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 39292550 to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5. Let d be s(0). Let k(l) be the third derivative of -1\/24*l**4 + 7\/6*l**3 - 2*l**2 + 0*l + 0. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*s = -105, 3*s + 177 = 2*d - 2*s. What is the greatest common divisor of 60 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10983*u + 10989*u = 21967*u - 185 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70970 divided by 2.\nAnswer: 35485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42*(-7)\/1*(-1008)\/(-432)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-9)\/(-1392)*((-3080)\/(-33))\/35?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13044032404330 + 3?\nAnswer: 13044032404333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -64\/58489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/50)\/(6\/10). Let v be 15\/20 + (-70)\/(-4). Let f = v + -18. What is the closest to f in -2, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - r + 13 = 0, -2*v + 16 = -0*r + 4*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30521 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30574 is divided by 1687?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*z - 3*p, 0 = -5*z + 3*p - 6 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4607*u + 1555*u + 1567*u + 1630*u.\nAnswer: 145*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3340446 or 3340473?\nAnswer: 3340473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13953 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -14. Let z(k) = k**2 + 18*k - 34. Let q be z(-20). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/3 + 38*l**4\/3 - 421*l**3\/3 + 1004*l**2\/3 + 1700*l\/3 - 4624\/3 = 0?\nAnswer: -2, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 12553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -68*b**2 - 382*b + 886. Find the first derivative of a(s) wrt s.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 5. Factor 1\/4*n**2 + 0 + 1\/4*n**t + 0*n.\nAnswer: n**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1721244.\nAnswer: 2, 3, 7, 31, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 9*u + 35. Let s(q) = -25*q + 54*q - 1 - 27*q - u. Calculate s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-214301)\/5358 - -40)*6?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9741*s**2*x**3 - 220687132*s**2 + 50*x**3 with respect to x.\nAnswer: 29223*s**2*x**2 + 150*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4533 - 4532.8. Suppose 2*g - 1 = -3*l - 10, -g - 37 = -5*l. Let y be (-18)\/(-8) - 3\/g. What is the second smallest value in x, -2\/3, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**4 + 6*d**3 - 10*d - 5. Let u(b) = -5*b**4 - 5*b**3 + 10*b + 5. Let w(y) = 5*i(y) + 4*u(y). Factor w(g).\nAnswer: 5*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 105. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1237*g**2. Let o(b) = -349772*b. Give p(o(u)).\nAnswer: -151335139104208*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1689 and 9008?\nAnswer: 27024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 11820*c + 17464050.\nAnswer: 2*(c + 2955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 1. Let d(m) = -m**2 - 4*m + 2. Let w be d(-5). Let s be g(w). Let x = 6 - -19. Solve -3*j + s = o + 19, 0 = 5*o + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f + 15. Suppose -f*m + 5*m = -r + 3, 3*r = -m + 9. Is 83 - (-1 + r) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-125)\/(-5) + -21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 4*h - 1, f + 4*h = 21. Suppose -s + f*a - 2 = a, -9 = -2*s - 5*a. Solve -l = 5*c - 4 - 0, -4*l - 6 = -s*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 2. Let o be (-22)\/6 + 4\/(-12). Let d be (1 - -3) + 3 + o. Let c be (1\/(-2))\/(d\/12). What is v(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3570532 hours to seconds.\nAnswer: 1285.39152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 - ((0 - -8) + -7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 14\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) 4 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 32612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -4 - (-3 + 6)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y. Let c(m) = 2*m. Let n(l) = -c(l) + 2*o(l). Let i(r) = 1. Let q(w) = 35*w - 4. Let k(z) = -4*i(z) - q(z). Determine k(n(p)).\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:52 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 - 4 + 6*o**2 + 0*o**2 + 3 + o**3 - 3*o. Let g(z) = -2*z**3 - 11*z**2 + 6*z - 1. Let t(w) = -5*a(w) - 3*g(w). Calculate t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1527060 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44130 and -2?\nAnswer: 44132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 118 = -93 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -4*k - 3*j, -k + 18*j + 53 = 21*j. Suppose 95*n - 85*n = k. Solve 3*i - 2*y - 11 = 0, -i - n*y = i + 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-35*i - 3 + 107*i - 28*i).\nAnswer: 88*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/3, 0.3, -2\/7, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 266*y + 17107. What is h(-157)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*9\/(-36)*-2. Let w(c) = -c**3 + 3*c**2 + 9413. Is w(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 - 6*x + 62. Give p(6).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9932, -19819, -29706?\nAnswer: -39593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 + 33*r + 13. Let n(i) = i**2 - 8*i - 3. Let x(j) = 9*n(j) + 2*o(j). Let l be x(-5). Suppose l*g = 39 + 57. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442 + -1412?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/10 - -2)\/(7\/70). Suppose 52*f = t*f + 368. Calculate the greatest common divisor of f and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*d + 108. Solve n + 12 = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*y = 0, 8*k - 5*k + 5*y + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195449 is divided by 24387.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 1 = 12040*k - 12037*k, -3*d + 17 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) -200 (d) 1\/3 (e) -2 (f) 142\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) -18 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69669 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7.0659089, -0.5 in decreasing order.\nAnswer: 7.0659089, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 3*i**3 + 3*i**4 - 3*i**4 - 3*i**4 + 4*i**4 + (5*i**2 - 3*i**2 + 0*i**2)*(2*i**2 - i**2 - 3*i**2) - i**2 + i**2 - 6*i**4.\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 13*o**2 + 14*o + 24. Determine r(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 507*h = 517*h - 61, 3*h + 16 = 4*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 f, and 1 h when four letters picked without replacement from shmssssfssfsyy?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y + 185. List the prime factors of z(0).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 246 - 303 + 409 + j**2.\nAnswer: j**2 - 12*j - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(68) + sqrt(68) - sqrt(68))*-4)\/sqrt(4))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = l - 126, 241 + 263 = 4*l - 5*d. Suppose 0 = 6*n - 5*n - 4, c = -4*n + 30. What is the highest common factor of l and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38243586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411*b**3*r*x - 2*b**3*r - 68*b**3*x + 5*b**3 - 47*b**2*r + 2*b**2*x + 64*b*x + r wrt b?\nAnswer: -2466*r*x - 12*r - 408*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4049*a - 4077*a - 1691 = -8215*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726\/10 + (-14)\/(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + -7 + -92 + 27 + 69.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14168980.636 and -0.2.\nAnswer: -14168980.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (-81 - -64) + (-26 - (7 - 0)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1 + 244*r**3 + 1 - 250*r**3 - 2*r**2. Let p be h(-1). Let x be 2 - (p + -7 + (2 - 4)). Solve t - x*t - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 + 5.01. Let m = -6.29 - i. What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 + 556*g + 419. Calculate a(-92).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from gssccsggssgcs.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9482802821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249 - 249. Solve 3*r - 2*b = 4*r + 1, 5*r + 3*b + 12 = g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 771986 + 2924*c - 771986 as k*c + a and give k.\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2127 (b) 0.5 (c) 296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-3 - -4) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 5. Let w be 8\/(-30)*(-6)\/(-4). Let f = -1927\/5 + 385. What is the closest to f in 3, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x - 1. Let i(c) = 0*c**3 + 3*c**2 - 3*c**x + 4*c**3 + c + 5 - 2*c**3. Calculate i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427212?\nAnswer: 2, 3, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 660.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 89?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuug when four letters picked without replacement from usgguuusgsusu?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8691*q - 389265 = -102462 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182664 - 54724 = 328*z + 1798*z - 56678 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5612, 5539, 5418, 5249, 5032, 4767, 4454?\n\"Answer: -24*r**2 - r + 5637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1461.8*15\nAnswer: -21927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 6, i: 10}. Give prob of picking 1 i and 1 w.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 3, a: 3, r: 4, h: 2, p: 2}. Give prob of sequence tar.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096038 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -k - 5*r + 27, 5*k - 2*r = -35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100.47 times 0.3\nAnswer: -30.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-975)\/(-132)*(5 - 432\/80) and -9\/2816?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**2 + 2*m. Let p(h) = -24*h - 5 - 31*h + 5 + 47*h. Determine p(w(z)).\nAnswer: -56*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 3, x: 1, w: 3, f: 3}. What is prob of picking 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14*o - 14 = 9*o, 0 = -4*y + 2*o - 20. Calculate the common denominator of y*5\/(-45) + (-1)\/18 and -71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2209 - 1941. What is the remainder when x is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 - 2\/4. Let u = -0.3 + 0.8. What is the biggest value in -2\/11, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23604421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 u when three letters picked without replacement from uglgzzlgllzgzzlzl.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Calculate the remainder when 9 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12456940 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1489*u - 158*u**4 - 4456*u**3 + 4456*u**3 wrt u?\nAnswer: -1896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 1:13 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -26. Let t = p - 20. Let a be (-1)\/(-2) + t\/28. What is the third smallest value in 5, 1\/3, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-4*sqrt(75) - sqrt(3))*1*-3.\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27582 = 3*l + 14*u + 27710, 2*l - 5*u = -157 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 44*p - 50. Let m be j(43). Let y be 1\/(1*1\/5). Let v be -1 + y + m + 3. Is v at least -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42 + (-5724)\/135 + 2 + -2 + 2. Suppose h*y - 2*y**3 + 2\/5*y**5 + 0 + 0*y**2 + 0*y**4 = 0. What is y?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.34 + 19.84. Let r = 0.03 - 4.03. What is the third biggest value in u, -8, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -21 - 4. Suppose -2*g = 3*o - t - 10, 0 = 3*g + 3*o - 15. Suppose -2\/3*j + g + 1\/3*j**2 + 5\/3*j**4 + 8\/3*j**3 = 0. Calculate j.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 18.18382um?\nAnswer: 0.00000001818382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96, -81, -44, 27, 144, 319, 564, 891?\n\"Answer: 2*p**3 - p**2 + 4*p - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49110.36l?\nAnswer: 49110360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11026.8 + -11027. What is the smallest value in 1\/5, 1\/10, 3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 1596\/(-196) + -29?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 5. Let l(x) = 2. Let q(h) = 2*j(h) - 5*l(h). Let r(d) = 5*d + 4*d - 3*d. Calculate q(r(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/11*222\/555?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2312*m**2 + 995*m**2 + 934*m**2)*(6*m**2 + 3*m**2 - 2*m**2) - 3*m**4 + m**4 + m**4.\nAnswer: -2682*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-20) - (-14)\/10. Let w = n + -4. Put w, -5, 2 in ascending order.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - o - 2*o)*(3268 - 3268 - 773*o) as n*o**2 + p + m*o and give n.\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -457\/182 - -1\/91. Put 0.4, u, -2\/17 in decreasing order.\nAnswer: 0.4, -2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 31*c**2 + 12*c**3 - 31*c**2.\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9697.\nAnswer: 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:53 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/400*-10*155?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 146*g - 147*g + 17 = 0, -7*g - 75 = -10*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from zzyaayaccaz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-175)\/(-55) - (-4)\/(-22). Let k be (-40)\/(-6) - 2\/q. Suppose 11*f - 4*x - 22 = k*f, -f = 5*x + 13. Is 3 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243) - sqrt(243) - (1*sqrt(12))\/sqrt(4)) + -4.\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 4)*(-32 - 7 + 67 - 470*y + 631*y) as u*y + v and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*k = 215*k - o + 6554, -8 = -4*o. Is k a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2791 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i + 12872 = -2*l, -5*i = 2*l + 12890. Which is greater: -6429 or l?\nAnswer: -6429","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 5*i + 3. Let u be y(3). Let x(f) be the first derivative of f**3 + f**2 + 7*f - 35. Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-10)*n)\/(n*((n\/(n**16*n))\/n)\/n) assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*w + 1283*w - 436*w - 412*w + 262.\nAnswer: w + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1\/2, 0.5, 5, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -49. Let l be (-60)\/(-68) + 1 + -2. Let t = -2 - -2. Which is the closest to -2? (a) l (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/2 + 1350741*f**2\/2 - 152039744625*f\/2 - 456131390625\/2.\nAnswer: -3*(f - 225125)**2*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 10.6. Let r = d - 4. Let v = -0.76 - -1.26. What is the closest to -2\/5 in v, 4, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-3)\/(-15)). Calculate the remainder when 68 is divided by (4 - l) + (1 - (-60)\/3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(3*y + 4*y - 6*y) + 2306 - 1130 - 1137 + 5*y.\nAnswer: 2*y + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/53 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.7. Suppose 5*f + 60 = 9*f. Let a be f\/25 + 62\/(-20). Sort -0.4, a, k in decreasing order.\nAnswer: -0.4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 25*n**4\/24 - 6*n**3 + 36*n**2. Differentiate s(q) with respect to q.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 f when four letters picked without replacement from fmlfmmfm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59548627 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 655157.7ml?\nAnswer: 655.1577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2*sqrt(125) + 3 - (sqrt(125) + -1 + 2))**2 - (4 + sqrt(60)\/(1*sqrt(48)))**2.\nAnswer: 36*sqrt(5) + 1947\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + r**2 - r + 1. Let x(m) = 13*m**3 + 4*m**2 - 4*m + 4. What is 4*f(c) - x(c)?\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4078395 is divided by 95?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-78)\/(-126) + (-16)\/12. What is the smallest value in 2\/3, s, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4418846, -4418869, -4418892, -4418915, -4418938?\nAnswer: -4418961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5 - 1. Let h = s + 0. Let f = h + 4. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/40*2\/(-6). Solve 5\/4*g + v + 1\/4*g**3 + g**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17\/2 (b) -2\/9 (c) 2\/2997 (d) -1\/32 (e) 0.5 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 4, -7, -24, -47?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 101.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3991217)\/43430 + 3\/(-30).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239654 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 56*l - 666 = 0. What is l?\nAnswer: -9, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.067 + 5.067. Let g = 0.1 - 12.1. What is the biggest value in 0.2, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*h = -2*h + 36, -5*h = -3*r + 108. Suppose 2*i + 3*t + 4 = 0, t + r = 5*i - 3*t. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 7*k - 2*k + 9, k = 5*n - 13. What is the second derivative of 6*m - 26*m**2 - 25*m + 14*m + n*m**2 wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -6*i - 3*u + 99, -13*i + 11*u + 3*u = -429 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3563 and 6354356.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1401\/(-1868)*-1*2\/(-27)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21327 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149222484?\nAnswer: 2, 3, 4145069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 37*d**2 - 21 - 58*d - 78*d**2 + 43*d**2 + 0. What are the prime factors of c(34)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/126*6)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 126\/27 - ((-56)\/(-8))\/(-21). Solve -4*q = 0, -3*s + i*q = 14 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -592, 2\/53, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 61 + -57 + 0 + 4 + (-1)\/1. Let u(z) = -8*z**3 + 11*z - 1. Let q(r) = 9*r**3 - 12*r + 1. Give m*u(o) + 6*q(o).\nAnswer: -2*o**3 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*t + 122*t - 519. Let g = 175 - t. Suppose 0 = -f + 6*f. Solve -g*m + m - 3*c - 2 = f, -6 = m - c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*y = -11 + 35, 0 = -4*o - 5*y + 30. Suppose 3*r - o*r = -8. Does 16 divide (-58)\/(-1) + 0 + r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 5031?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/2 - (-2)\/(-4). Let k be 0 - (-1 - 6 - -1). Suppose -a + k*a = 0. Solve f - z*f + 16 = a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4096, -4, 3, -1 in decreasing order.\nAnswer: 4096, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 16 - 5 = 0. Suppose 0 = -r + 5. Solve -g*z = 2*z + r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2 + ((-20)\/(-630) - (-426002)\/(-7812)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 678, 1129, 1582, 2037?\nAnswer: 2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5376255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by 7.\nAnswer: 354\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 1:22 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhddhhhh.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 4, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -24. Sort -2, s, 1 in decreasing order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 311460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/2 + 80472*t**2 - 1126665*t\/2 - 643804 = 0. Calculate t.\nAnswer: -160951, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**5 + 3*h**4 + 14103*h**3 - 287523*h.\nAnswer: -80*h**3 + 36*h**2 + 84618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2025)*2)\/(sqrt(320) - (sqrt(320) + -3*(sqrt(320) + (sqrt(320) - (sqrt(320) - -1*sqrt(320)))) + sqrt(320))).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.0569486 to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*v + 8088 - 1824 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.2 (b) -174 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 + 6 = 0. Let k = -1 + 3. Solve -k = -o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u**2 - u + 9979. Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27662 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -28194*b + 197434. Determine y(7).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.9 + 15.899485. What is a rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 22. Let d(b) = 13*b**2 - 222*b + 12. Let c be d(17). Sort c, q, -1, 3.\nAnswer: c, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3908778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2) - ((-207)\/(-23) + -9)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:13 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3125112, 6250229, 9375348, 12500469, 15625592?\nAnswer: 18750717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a91a638 + 4?\nAnswer: a91a63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 349, 1451, 3301, 5905, 9269, 13399?\n\"Answer: r**3 + 368*r**2 - 9*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/12 - -17 - (-3)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*n + 73020 = -2547*n - 4619 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*k**4 + k**4 + k**4 + 2 + 11*k**4 wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -19*t. Let j(w) = -2*w + 18. Let c be j(9). Let m(y) = 73*y - 73*y - 2*y**2 + c*y**2. Give m(d(i)).\nAnswer: -722*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 8:29 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 6. Let m(b) = 13*b**3 + 11*b**2 + 4*b - 3. Let s(k) = -7*k**3 - 6*k**2 - 2*k + 2. Let d(u) = 6*m(u) + 11*s(u). Let l be d(0). Determine v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2550 + 3148. Calculate the highest common divisor of a and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:03 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3387 is divided by (-13 - 19296\/(-27))\/((-68)\/(-24) - 2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jsjsssjssjjjsjssjjsj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7248*u + 5036 = 6548*u + 25887 + 44949 for u.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y + 0*y + 3*y + 0*y + (-4 + 6 + 0)*(3*y - 2*y + 0*y))*(1221 - 1221 - 63*y) + 49*y**2 - 7*y**2 - 27*y**2.\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 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: Convert 8778.196km to millimeters.\nAnswer: 8778196000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - 14*a**2 + 14*a - 2. What is the smallest common multiple of 572 and t(5)?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0625 - -14.0325. Let t = -6.75 + 16.63. Let b = n - t. Round b to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.020237 * 1.4\nAnswer: 0.0283318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 111.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81903 is divided by 16377.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-5 - (0 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 38957423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3730 + 3729.9. Let q = -12 - -17. Put 0.1, q, n in decreasing order.\nAnswer: q, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -21, 1\/3, 0.03, -0.4, -0.566?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let h(g) be the third derivative of g**7\/2520 + g**5\/10 - 4*g**2. Let i(k) be the third derivative of h(k). Determine -2*i(y) + 6*m(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*j, -3 = -2*o - 0*o + j. Let g be 5\/1 + -1*1. Let b(r) = -r**2 - 2*r + 1. Let f be b(-2). Solve 0 = -g*v - o - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 - 2*k + 6. Let d(q) = -36*q + 206. Let y be d(5). Suppose y - 89 = -9*m. Calculate h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*m = 6, 3*a + 0 + 4 = 5*m. Suppose 12*v = a*v. Suppose 2*r - 62 - 170 = v. What is the greatest common divisor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9 = -3*d, 0*m + 3 = -5*m + d. Let w = 11 - 7. Solve m = v - w + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16728249, 33456490, 50184723, 66912942, 83641141?\nAnswer: 100369314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2. Let g(w) = -18 + 18 + 12*w. Give m(g(b)).\nAnswer: -1152*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(8)*-4 - (3 + sqrt(8))).\nAnswer: -10*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((4\/(-10))\/(36\/15)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/5 - 732*x**4\/5 + 458876*x**3\/5 - 1827426*x**2\/5 + 2281157*x\/5 - 911874\/5 = 0. What is x?\nAnswer: -1137, 1, 2, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -419a9b (base 13) to base 8\nAnswer: -5666534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/(-51)*-3 - (-1 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28774?\nAnswer: 2, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1673, -3361, -5059, -6767?\n\"Answer: -5*w**2 - 1673*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 1}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(32)*-1.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -182758 divided by 91379\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -718618.\nAnswer: -718617.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22637 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*((u**(-3\/4)*u)\/u)\/u))\/u**8*(u**(-2))**(8\/7))\/((u**(2\/7)\/u*u)**(-20)*(u**2)**9) assuming u is positive.\nAnswer: u**(-583\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, j: 2, p: 1, s: 1, g: 1}. What is prob of picking 1 z and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 263. Let r be f(-20). Solve 32*q + 10 = r*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5933 + 13*d**3 + 11*d**2 - 2879 - 3054 - 11*d**2.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 586 and 19045.\nAnswer: 38090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 5 - 130*m**2 - 5 - 283*m**2 - 195*m**2.\nAnswer: -608*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -40. Let l = -5 - c. Find the common denominator of -101\/20 and 140\/12 - l\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-2\/53)*(y*y**1)**(7\/5)*(y**(1\/4)\/(y*y*y**(2\/27)*y))\/(((y*y*y\/(y*y**7)*y)\/y)\/y**(1\/3)) assuming y is positive.\nAnswer: y**(153031\/28620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -143.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34\/(3 - 1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - n**3 - 3*n**3 + (0 - n + 0)*(-8*n**2 - 109 + 109).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344\/77 - -46\/11. Which is the closest to -0.1? (a) -0.3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(46 - (-181740)\/(-3952)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 1674190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/4*2\/(-1). Let p = l + 18. Let r = -1062 + 1134. What is the greatest common divisor of r and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119482307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -m - 2, 16*m - 15*m - 4*d = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 26*c + 145 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -51, 53\/3, -3361.6?\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*c + 5463, 0*r + 4*r - 7282 = 3*c. Let q = -12686\/7 + r. What is the common denominator of -149\/6 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-7))\/a**21)**48 assuming a is positive.\nAnswer: a**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*v**5 + 63883*v**2 + 831559307*v wrt v.\nAnswer: 8860*v**3 + 127766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = c - 11*y - 0*y - y, 0*c - 5*c + y - 144 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24178 (base 10) in base 11?\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/60 and 71\/628.\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 - 2*h**4 + 0*h**4 + (2 - 2 + 2*h**4)*(-5 + 7 + 3).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 10*b**2 - 8*b - 7. Let h be u(9). Suppose 5*s = 5*d - 15, -h*s - 9 = -3*d + 2*s. Put -5, d, -13 in decreasing order.\nAnswer: d, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -21003?\nAnswer: -21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/20 + 5*f**4\/12 + f**2\/2 + f + 284. Give l(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -98 + (0 - -17) + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2362 - -2362.01. Which is the nearest to f? (a) -4\/5 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 132463 = 137905. Suppose -464816 - g = 2*u. Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 17*g = -2821. Does 13 divide (90\/(-78) - 4\/(-26))*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*18*(-1)\/(-2). Suppose -2*a - a = x. Let r be (-57)\/a + -2 - 1. Solve -2*j - 2*j + r = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643730164 a multiple of 11132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.24, 17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 1389200.\nAnswer: 16670400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324 by 27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -53 - (-31 + 59).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3508 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {k: 1, p: 3, c: 3, e: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*h - 23294 - 52306. Is h a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5809e - -4?\nAnswer: -5809a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9532492.9 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five halves of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 5*i. Let f be z(-3). Suppose -5*o + 10 = 0, 2*o - 5*o = -f*u + 24. Let v = 0 + 0. Solve 2*r + 2 - u = v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14779971*z**3 - 7890384*z**2.\nAnswer: -88679826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.2 - -9.8. Let w = l - 39.99999931. What is w rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -1223, -3, 2.\nAnswer: -1223, -3, 2, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 12*z**2 - 11*z + 7. Let d be h(11). Let p = d + -7. Suppose p = i + 2 - 1. What is the smallest value in -2, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-908)\/(-7718))\/((-2)\/(-4))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 24 - ((213 - 140) + -139)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v + 2. Let q be k(5). Let f be q\/(-6)*(-3)\/2. What is the common denominator of 127\/6 and (-295)\/f*(-7)\/(-70)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 123101?\nAnswer: -123111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3901656?\nAnswer: 2, 3, 11, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 less than or equal to 879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*l - 52, -240*q - 3*l + 0*l - 103 = -239*q + 7*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 6. Let s be k(-5). Let h = s - -9. What is the remainder when (21\/(-2))\/((-3)\/4) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4240942438 minus -78?\nAnswer: 80.4240942438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (0 + 65 + -10) - -12) + -15?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**7\/63 - 4*w**6\/135 + 13*w**5\/90 + w**4\/9 - 20*w**3\/27 + 8*w**2\/9 + 40*w. Suppose p(v) = 0. What is v?\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/45 + -1\/45. Let f = -433403\/7 + 62029. Let j = f + -114. Which is the closest to j? (a) -3\/7 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37948 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 25*h + 29*h - 51*h = -28, -27 = 4*u - 5*h for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35*m**2 + 2696*m + 2. Calculate the remainder when 3402 is divided by g(77).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2. Let t(r) be the third derivative of r**7\/2520 + r**5\/30 + r**2. Let i(p) be the third derivative of t(p). Determine d(i(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8977, -35907, -80799, -143659, -224493?\n\"Answer: -s**3 - 8975*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -106.4 * -59\nAnswer: 6277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 17 = 2*h, 3054*h = -5*x + 3051*h + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-472)\/(-3776))\/(-3*-1*4\/(-40))*-16?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -209\/8400 and (3\/(9 + 1572\/(-188)))\/2?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 2. Let p be 5 - ((-44)\/4)\/(5 + -7). What is the nearest to p in 0.5, i, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8 and -3*3\/(-720)*411 - 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*w**2 + 44474 + 3*w**2 - 44474 + 107*w**2.\nAnswer: 173*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-7*(-8)\/((-464)\/(-29))*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7601 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-16) + (502 + -490 - 230\/(-16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 3*s - 5 - s. Let m be y(-5). Let k = 473 - 472. Solve m = -z + k + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 312\/7 (b) 2\/17 (c) -5.76 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-41*(-78)\/(-76752)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2670 and 3.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 88*f**2 + 52. Let p(m) = 15*m. What is i(p(z))?\nAnswer: 19800*z**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (10 + -35)) + (10 - (4 + 0)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/27 + (-24324)\/(-108)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, 4, 15\/17?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4843 + 4845. Solve 3*p + 2*o + 3 = -7, 4*o - s = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(1\/4)*p)))**(1\/57)\/(p**1*(p\/p**(-8))\/p))\/(p\/p**2*p**(-3\/5)\/p)**(8\/17) assuming p is positive.\nAnswer: p**(-150113\/19380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13274928 divided by 3318732?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 17109758*z.\nAnswer: -2*z*(z - 8554879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 166\/51 (c) 5 (d) 1 (e) 0.05 (f) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzdt when four letters picked without replacement from {l: 6, z: 5, d: 5, w: 1, t: 2}.\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1359*f + 20. Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783211 greater than 2783215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywyk when four letters picked without replacement from {j: 2, k: 2, w: 2, y: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + 90)*4\/(8\/6).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.957 - 4.217. What is the smallest value in 5, i, 2\/7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28046391 and 0?\nAnswer: 28046391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -g - 2*g + 22, -2*q + 8 = 0. Suppose 14 = 2*p - g. Let w(u) = u**3 - 6*u**2 + 8*u - 7. Calculate the smallest common multiple of w(5) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 14 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 472 by -21.\nAnswer: -472\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(24\/2))\/((-3)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {n: 2, w: 4, y: 1, i: 1, x: 3, s: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/14*(-17 + -1). Suppose 0 = -3*h - 0 + 6. Let k = h + s. What is the remainder when 31 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 - 0 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -5*u + 2*h, -2*u + 156 = -0*u - 2*h. Suppose 5*x - 3*y = -491, -x - 2*y = u + 27. What is the units digit of 8\/(-12) + x\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/14 - (-155)\/(-35)*-1. Suppose u*f - q + 10 = q, -5*f - 2*q + 10 = 0. Solve f + 2 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*o**2 - o + o - 4*o**2 + (-3*o + 2*o - 4*o)*(0*o + 3*o - 2*o) + 3*o**2 + o**2 - 3*o**2 + (-5 + 0 + 3)*(16*o**2 + 12*o**2 - 14*o**2).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 + (-4)\/((-4)\/43). Let o be (-2302)\/14 - (-18)\/k. Let m = o + 373. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*g - 526 + 7978 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/24 + y**3 + y**2. Let s = 119 - 125. Let m(q) = 2*q - 11. Let i(n) = s*m(n) - 11*g(n). Let l(o) = o. What is i(l(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23.8, 2, 1\/34, -3 in descending order.\nAnswer: 23.8, 2, 1\/34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*w = -17, o = 2*w - 7*w - 27. Let s(p) = -2*p**2 + p + 2. Give s(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (136\/(-16) + 1)\/(1\/(-2)). Sort -1, 5, u, -4.\nAnswer: -4, -1, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 1689 - 3267. Let q = h + -705. Solve -2*x + 2*i = -q*i - 35, 0 = x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 10 = -q. Let c be (36\/8)\/(1\/q). Solve -c - 1 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74970 divided by 85\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - -40) + -58\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15078931189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217457*u**2 + 0 + 0 + 216992*u**2 - 434505*u**2.\nAnswer: -56*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6738.521 milligrams?\nAnswer: 6.738521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c - c + 17*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210143245 - 45?\nAnswer: -210143334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -90*d + 264. Give t(4).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-38)\/m*m\/m**(-8\/5)*m*m**(1\/11)*m**(-3\/8) assuming m is positive.\nAnswer: m**(-15701\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**3 - l**2 - 5*l - 4. What is v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8620, 8515, 8410, 8305, 8200, 8095?\nAnswer: 7990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4725 and 50044365?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixteen fifteenths of a minute?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffufff. Give prob of picking 1 u and 1 f.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k + 6. Give b(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12351?\nAnswer: 3, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 9, 85, 4 in decreasing order.\nAnswer: 85, 9, 4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*n + 48, -2*n + 22 = 4*x - 12. Suppose -x - 5 = -4*r. Solve -k + r*k + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2828115 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19716 is divided by 1096?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9777, 9874, 10067, 10368, 10789, 11342?\nAnswer: 12039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/((-41)\/(-369))*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + -29 + 196 + -156?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36870 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.2, -282, -0.7, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67870 and 54296?\nAnswer: 271480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -34.1970026323.\nAnswer: -30.1970026323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7*b + 8 = 0. Let l = -9222 - -9218. What is the nearest to l in -2\/21, b, 1\/4, -0.01?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(16)*-1 - (sqrt(196) - -1*sqrt(196) - sqrt(196)))\/((sqrt(2) + sqrt(2) + 5*sqrt(4)\/sqrt(2))*1).\nAnswer: -8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.62 minus -19.83134?\nAnswer: -1.78866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*u + 20 = 0, -22 + 2 = 6*d + 4*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191314 = -14308*f + 667166 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/2)*p*p**9)\/(p**(-3\/5)*p)**42 assuming p is positive.\nAnswer: p**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96424 and 35189088.\nAnswer: 5672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (sqrt(1584) + -1)*-5 - (1*(sqrt(1584) + sqrt(1584) + 0) - sqrt(1584)))**2*-4*-4*6.\nAnswer: -57600*sqrt(11) + 3804000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 225 = 127. Let x = -112 + 174. Suppose 4*i + p = 4*l, 40 + x = 4*l + 3*i. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5309, 3, -33304.\nAnswer: -33304, 3, 5309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -91286.\nAnswer: -15\/45643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000095865 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 5\/8*l**2 + l + 1\/12*l**3 - 12. Factor o(z).\nAnswer: (z + 1)*(z + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 63 = -3*h, 2*p + 9322*h - 9317*h = -65 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 - 10*s**2 - 16*s**2 - 29*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + (-200)\/(-125). Factor -8\/5 - 2\/5*w**2 - z*w.\nAnswer: -2*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -57.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*i - 71*i + 42 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 736\/7. Suppose 3*b = -b. Put h, -34, b in ascending order.\nAnswer: -34, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3130*f - 15608. Determine b(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2430 = -26*x - 244*x + 27*x. Suppose -4*o - 2*g - g = -1, -4*o = 5*g + 1. Calculate the remainder when -2*o + 47 + 1 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from qfqqfq.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -6*i - 369. Solve 0 = -d + 3 - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/13)*y\/(y*y*y**(-17)\/y) assuming y is positive.\nAnswer: y**(223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 57223283 to the nearest 100000.\nAnswer: 57200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1344 = -5*j, -j - 2*j + 3*x + 819 = 0. Let m be (j\/(-12))\/(9\/3000). What is m rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3271.5 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 24*q**3 + 16*q**2 + 96*q = 0. What is q?\nAnswer: -6, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 <= 36399\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 19*v**2 + 17*v - 14. Let s be g(-18). Suppose 5*u = s*u + 3. Find the second derivative of -16 + 25*f**u + 4 + 12 - 20*f wrt f.\nAnswer: 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.048 - -6.048. Let d be (-3 + 4 - -5) + -6. Which is the closest to d? (a) s (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1187 + 1186.99994588. What is s rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6038900 by 43135.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/4 + t**4\/4 + 5*t**3\/4 - 5*t**2\/4 - t + 1 = 0. Calculate t.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6484 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 8. Let y be z(-2). Which is the biggest value? (a) -1 (b) y (c) -4\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 3*p - 10. Determine f(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2749*n**3 - 4654 with respect to n.\nAnswer: -8247*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from -1076.\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 33. Let t be z(11). Let o be -3 - t - (3 - 24506). What is o rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 96\/(4 + 2) + (-8)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -17. What is the greatest common divisor of 32 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v**(2\/27))**7*(v**(4\/3)\/(v*v**3\/v*v))**6 assuming v is positive.\nAnswer: v**(-1930\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80 + 7?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 57. Suppose x + 16 = 5*x. Suppose -x*n + n = 0. Solve n = u - k - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -615*h**2 + 2*h - 7. Let c(b) = 2461*b**2 - 8*b + 27. Give -4*c(r) - 15*o(r).\nAnswer: -619*r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -3.9. Is 1\/5 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d**5 + 50152*d**4 + 33524*d**3 - 350992*d**2 - 534992*d - 200640 = 0. What is d?\nAnswer: -2, -1, -2\/3, 3, 4180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nytaaywkw. What is prob of sequence yyk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 7*t + 22. Suppose t = 2*r, 4*j + 46 = 3*r + 9. Let w(n) = -n**2 - 6*n + 14. Calculate w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(-1 + (3*sqrt(180) + 2)*1))**2.\nAnswer: 1296*sqrt(5) + 58356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12347, 12336, 12325, 12314, 12303?\nAnswer: 12292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 + 4*l - 31. Let z(w) = 6*w**2 - 5*w + 35. Calculate -3*r(y) - 2*z(y).\nAnswer: 6*y**2 - 2*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, d: 3}. What is prob of sequence add?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 511*s - 98. Let m(q) = 32*q - 6. Let c(d) = -3*h(d) + 49*m(d). Let a(v) = 14*v. Determine c(a(z)).\nAnswer: 490*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (10 - -11) + (-16 - 1) - 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 550*m**2 - 6*m - 1257*m**2 + 638*m**2 - 73*m as v*m**2 + c*m + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let z be (4\/18)\/(292\/(-60) - -5). What is the nearest to 0.1 in z, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 17 + 2343 - 617 = -791 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**5 - 4*z**5 + 0*z**5 + (-1 + 1 + 2)*(9*z**5 - 5*z**5 + 2*z**5).\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643672 is divided by 652?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -4, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.624 - -0.024. Let f = h + 15. Which is the fourth biggest value? (a) 4 (b) f (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d)*(2 - 1 - 2 + 2 + 3 - 4 + (-5 + 3 + 3)*(4 - 3 + 1) + 1 + 4 - 4 - 90 - 98 + 181) - 2*d + 0*d + 0*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Let q(c) = -52*c. Let s(o) = -q(o) + 24*y(o). Let v(x) = -409*x. Determine s(v(f)).\nAnswer: -1636*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from {n: 5, u: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -39*b**2 - 286*b - 566. Give n(-2).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597189853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 25. Let k be r(13). Suppose -5*h = 4*o - k - 4, -5*h = 3*o - 5. Solve o = 4*v - 1 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*z + 4*c - 16, -5*c - 1 = -2*z. What is the remainder when 19 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -31*u**6\/120 + u**5\/12 - 5*u**4\/12 - 11*u**3\/6 - 6*u**2. Let n(a) = -6*a**3 + a**2 - 2*a - 2. Calculate 2*j(z) - 11*n(z).\nAnswer: 4*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.200949 hours?\nAnswer: 33123416400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.34569ml in litres?\nAnswer: 0.02834569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 86 + 6. Calculate the greatest common divisor of 80 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*h**6 - 57065*h**3 - 2226*h**2 + 1396*h?\nAnswer: -7680*h**3 - 342390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 divided by -3?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - 4*o - 33*o + 0*o to the form l + b*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.7313196 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/2 - 2)*1. Let p be 24\/(-21) + (-3)\/x. What is the second biggest value in 0, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3. Let q(l) = 4*l**3. Determine 2*c(k) + 2*q(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 427, 3, -4 in increasing order.\nAnswer: -4, 3, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.1 + -9.1. Let i = 0.84 - -0.16. Which is the nearest to i? (a) -1 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**2 + 6*b - 4. Let n(u) = u**2 + u - 1. Let h(r) = i(r) - 5*n(r). Let o(j) = -2*j**2 - 2*j - 5. Let z(q) = 4*h(q) + o(q). What is z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 945 and 31455.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 132. Let l = o + 71. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238132163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 1. Let a(s) = s + 2. Determine -3*a(h) + 4*u(h).\nAnswer: 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 20 (c) -0.1 (d) -68\/3 (e) 61 (f) -3 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -9, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351198930.\nAnswer: 2, 3, 5, 359, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -484, -762, -1044, -1330, -1620, -1914, -2212?\n\"Answer: -2*h**2 - 272*h - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 12:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 5220 = -12*c. Calculate the greatest common divisor of c and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*r**2 + 1 - r**3 - 344*r + 130*r**2 - r**3 - 255*r**2 in the form p*r**3 + t*r**2 + f*r + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178830?\nAnswer: 2, 3, 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 129*x**2 + 249*x - 1576. Determine r(-131).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 7232?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from {w: 4, x: 3, i: 6, d: 3, u: 2}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70*(-30)\/(-2850))\/1.\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 + 537537*a - 2150100 = 0. Calculate a.\nAnswer: 4, 179175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*l**2 + 1 - 1 + 2084*l**2.\nAnswer: 1715*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6)\/(n*n**(1\/3)))\/((n\/((n**25*n)\/n))\/(n*n\/((n*n**(-2\/19))\/n)*n)) assuming n is positive.\nAnswer: n**(1868\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.577330397 rounded to 2 decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {b: 1, k: 1, f: 1, c: 1, y: 2, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2628*f**2 + 18897664276 - 18897664276.\nAnswer: 2628*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20886742795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21974 is divided by 3643?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 2:17 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**8\/28 + 2*w**7\/525 - 2*w**6\/25 - 4*w**5\/75 + 2*w**2 - 4. Let s(f) = 0. What is f?\nAnswer: -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 27*r**2 + r - 74. Suppose 0 = 3*f - 8*f + 5. Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j**2\/5 - 2463*j + 2976942\/5 = 0 for j.\nAnswer: -5942\/11, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -70467 take away 0.068763379?\nAnswer: -70467.068763379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4455 divided by -11.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (511 - 85*h - 257 - 255)*(-19 - 3*h**2 + 19).\nAnswer: 255*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1822 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 795 + -514. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - -2.97. Let b = 302864 - 908590\/3. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108521.14 to the nearest one hundred.\nAnswer: 108500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 3*b + 1 - 2*b**3 + 12*b - 8*b to i + r*b**3 + l*b + y*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100110011111010010 (base 2) to base 6.\nAnswer: 32122430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/19 or -912?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-133)\/56) - (5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 2. Determine c(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-159)\/1060)\/((12\/10)\/1)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 4 = -2*x. Suppose 0 = 7*n - 2*n. Suppose 12*z - x*z + 222 = n. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 890 divided by -5\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 89633013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2627 = -21*q - 4240. Let x = q - -332. Solve -2*f = -5*f, x*p = -3*f - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/80*-2*10*4\/80?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 22. Which is the nearest to o? (a) 0.2 (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = 2*v - 3*n, -2*v - 4*n = -24. Suppose v = 2*s - 4. Solve b + p = s*b + 5, -4*b - 28 = 4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 276, 0.5, -3, 2\/3, -3.81, -1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from tttittttttit.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1966, 3939, 5912, 7885, 9858?\nAnswer: 11831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(2\/5))*h*h)**26)**7 assuming h is positive.\nAnswer: h**(2366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Suppose r*a = 2*l - 0*l, -5*l - 30 = 5*a. List the prime factors of 3*44\/6 - l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40328 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.85047g in micrograms?\nAnswer: 51850470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t - 4. What are the prime factors of (1728 - -1) + 24\/6 + t?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710618 to the power of 1\/2, to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 0, 1\/3, -11\/6, -1\/2 in ascending order.\nAnswer: -11\/6, -1\/2, 0, 1\/3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - q + 3, -59*q + 56*q + 9 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11975 + -10883. Calculate the remainder when s is divided by 115.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + s**2 + 0)*(s**3 - 3*s**3 + 4*s**3) + s**5 + 2*s**2 - 2*s**2 - 82876*s**5 + 357*s**2 - 2 - 17*s**2 + 82883*s**5.\nAnswer: 10*s**5 + 340*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 890199997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/224 + y**7\/70 - y**5\/20 + y**4\/16 + 2*y**2 - 37. Suppose c(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300 + -296. Solve -5*d = 5*m - 45, 5*d + 2*m = t*m + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 47725.\nAnswer: 190900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166 and -16686.\nAnswer: -2769876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, -0.03, 1\/13?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 58*s**3 + 11*s**2 - 5*s - 11. Let y be l(-5). What is y rounded to the nearest 100?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -149c166?\nAnswer: 149c165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/7 + 52*p**3\/7 + 838*p**2\/7 + 3060*p\/7 - 2601.\nAnswer: (p - 3)*(p + 17)**2*(p + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 28*l - l = 4*i - 34, 10*l - 3*i = 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose -2*f + 3*f + 8 = m. Let n = -4 - f. Solve -n*t - x - 6 = -19, -2 = t - 5*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 154*u**2 - 183*u + 5758. Is s(45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 1)*10\/4. Let h be (-16 + 10 + -4)\/(4\/24). List the prime factors of (104\/f)\/(8\/h*3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3942\/5 - 786. Suppose -8\/5*a - 2\/5 - 8\/5*a**3 - 2\/5*a**4 - n*a**2 = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (-95 + 83).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3474997*x - 12. Let b(q) = q**3 - 6*q**2 + 3*q + 6. Let v be b(5). Let n be f(v). What is n rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o + 2. Let j be p(-8). Suppose 0 = s - j*s + 5. Let d be (-7)\/(-2) + 1\/(-2). Solve -1 - s = d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjj when three letters picked without replacement from {j: 2, m: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5, -t + 6*t = a + 5. Let l(w) = -7*w + 4. Let o(c) = -4*c + 2. Let u(s) = -3*l(s) + 5*o(s). Give u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/k**(-1)*k)\/k))**(-2\/25)\/(k**(-2\/5)*k)**(7\/4)*(((k\/(k**1\/k))\/k)\/k)**(-33)*k**(2\/9)\/((k\/k**2)\/k) assuming k is positive.\nAnswer: k**(6151\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 + 77600*l - 1505440000 = 0. Calculate l.\nAnswer: 38800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269933.2 litres to millilitres.\nAnswer: 269933200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*c\/((c*c**(-2\/5))\/c)*c))\/c*c)\/c)\/(c\/c**(3\/16))*c**(1\/15)\/c*(c\/c**(-30))\/c assuming c is positive.\nAnswer: c**(1241\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1428*a - 163. Determine m(0).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-39))\/(-4)*(-48)\/(-4032)*-14\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let w(k) = -12393*k. Calculate q(w(p)).\nAnswer: -12393*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let r(m) = 7 - 1 + 3*m - 2. Let x(g) = 2*g + 18593 - 18596 - 2*g - 3*g. Let w(n) = -3*r(n) - 4*x(n). Give w(b(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 + -218. Calculate the highest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcccwwwwcwcwww. Give prob of picking 3 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmigm. Give prob of picking 1 i, 1 m, and 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from eebov.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34 + -233?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(2) - sqrt(18)\/sqrt(9)*-4)**2 + (-4 + sqrt(50) - sqrt(50))**2)*4.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 44*g + 21. Let n be p(2). Let f = n + -77. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 28. What is the remainder when j is divided by (119\/(-85) + 3)*(-4 - (-39)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 0, -6*w + w = 3*t. Let x(c) = -w - c + 3. Let g(o) = 61 - 29 - 13*o**2 - 32. Give g(x(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 825, 1235, 1643, 2049?\nAnswer: 2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -23. Suppose -8*f = -v*f + 40. Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86704617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1126 rounded to three dps?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:43 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1010000 to the nearest 10000.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77))\/sqrt(11) + sqrt(175) + -4 + (-4*(-1*sqrt(77) + sqrt(77)))\/sqrt(176))*4.\nAnswer: -16 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*h + 80*h + 43024 + 1076 = -398*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*b + 48, -3*b + 209 = 221 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1090 - -af?\nAnswer: 113f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(152) - sqrt(152)) + sqrt(152) - sqrt(152))*6)\/(sqrt(32)\/sqrt(4)*-5).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 66*w + 199. What is p(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -22, -18, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -2\/5*b**2 + 0*b**4 + 2\/5*b**3 + 11 + 0*b - 2\/25*b**5. Determine m, given that p(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4207 - 1311 + 4036 = 4*h. What is the remainder when h is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*j - 227 - 95, -2*j = -m - 317. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/15)\/(3\/(-9)). Suppose -f - 3*d = -3 - 2, 5*f - 4*d - 6 = 0. Solve -r - k = -f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5160672100 rounded to the nearest 1000000?\nAnswer: -5161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 204*n - 816. Let m be l(4). Solve m = -24*q + 21*q + 21 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2822 - 107?\nAnswer: -2929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 6 + 1 + -2. Solve -y = -11 + t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -90. Calculate the remainder when 21 is divided by 138*t\/(-49) + 2\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*15\/10 + 1. Suppose 3*t - 507 = -d*f, 2*t - 4 = 6. Is f a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120358 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 164 = -1517. Is 38 a factor of (603 + t)*3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-33)\/(-6) + -5). Let r be d\/3 - (-248)\/6. What is the highest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 - 21 - 5*p**4 + 23)*(-4*p - 2*p + 5*p).\nAnswer: 5*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 2*l**4 - l**4 + (0 - 2*l**3 + 0)*(-2*l + 3*l - 7*l).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20465, -20464, -20463, -20462?\n\"Answer: p - 20466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 393 = 4*v + 82, v = -3*w + 69. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 2*m - 5. Let x be y(-11). Suppose 0 = -4*n + r + x, 3*r = 4*n - 48 - 403. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 7*v = 24. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*j + 5. Let t be 8\/j*(2 - 5). What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/60 - 19*o**5\/60 + 25*o**4\/12 - 44*o**2. Find the second derivative of v(d) wrt d.\nAnswer: 12*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8207 is divided by 505?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -1.8. Let s(r) = r**3 - 14*r**2 + 14*r - 16. Let n be s(13). Which is the closest to 0.1? (a) d (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174634, 4, -9 in descending order.\nAnswer: 174634, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 4) + 2)*56. Let t = -55 - k. Solve -3*w + 2*w - 5*f = 6, -f - t = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/15, 218\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/718?\nAnswer: 1\/718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8*60\/(-320)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8) + 30 + -46?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3\/5 - 19014*t**2\/5 - 419697*t\/5 - 80136 = 0.\nAnswer: -21, -1, 6360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 11*d + 5 = 10*d, 0 = -2*d + 2. Solve 3*u = -q*f, 5 = -2*f - 2*f - 3*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/3)*y\/(y\/(y*y\/(y*y\/(y\/(y\/(y\/y**(-2)*y)))))))**(-42)*(y\/(y*y**(-2\/11)*y*y)*y**(-3))\/(y*y\/y**3*y*y*y*y\/y**7) assuming y is positive.\nAnswer: y**(-2165\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 3857*i**2 - 4165200*i + 832680000.\nAnswer: -(i - 1800)**2*(i - 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:03 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 4*p + 36. What is the smallest common multiple of t(0) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 9. Let x be c(11). What is the highest common factor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120105152 to the nearest integer?\nAnswer: 10959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -1 + 2)\/(30\/(-34230))?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1439.1038613 and 33940.\nAnswer: 32500.8961387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (9 - -2) - (4 - -7 - -7).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.17, -5, 2\/7, 1\/51, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {c: 4, d: 2, m: 1, z: 10}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 16. Let k be (-4)\/6*(-8 - 4). Let f = k - 0. What is the greatest common factor of f and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -5\/147*c**7 + 1\/7*c**3 - 3\/35*c**5 + 0 + 2\/21*c**4 + 67*c + 0*c**2 - 4\/35*c**6. Let t(p) = 0. Calculate p.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*s + 4, 4*s = 3*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g**3 - 417*g**2 - 30*g - 275. Give r(38).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 - 4)*(-3 + 1 + 1) - 2 + 0 + 5)*(-4*r + r + r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148373 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) 109 (c) 315 (d) 5 (e) -1 (f) -4 (g) 5\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**5*q**2 - 22*c**4*q**2 - 11*c**2*q + 67*q**2 wrt c?\nAnswer: 420*c**2*q**2 - 528*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose 5*j + 4*z = 56, -3*z + 19 = 5*j - 33. Solve -c = -a + j, l*c = 5*a + 2*c - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:20 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*n - 2*o - 12 + 5, 58*n - 3*o - 169 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 3624 + 3891 + 3709 - 10935 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -8 - (-44 - 3) - -9\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, 5, 79, 195, 359, 577, 855, 1199?\n\"Answer: w**3 + 12*w**2 - 5*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124634200 + -1?\nAnswer: -124634201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -12 (c) -0.5 (d) -1 (e) 0 (f) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 74655?\nAnswer: 746550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10744507, -21489018, -32233527, -42978034, -53722539, -64467042, -75211543?\nAnswer: -85956042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6 - 2 - 5*x**2 + x + 0. Let b = -1 + 3. Let i(y) = -4 - 1 + y - b - 4*y**2. Determine 6*f(c) - 7*i(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffvvfv. What is prob of sequence vfvf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -14415.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 14*j**2 + 2*j - 68. Let d(q) = -3*q**3 + 43*q**2 - 11*q + 203. Let y(r) = 4*d(r) + 11*s(r). What are the prime factors of y(14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, b: 2, o: 1, a: 2, q: 2, j: 3}. What is prob of sequence abo?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 38 = 5*p + 13, -b - 3 = -4*p. Suppose 3*q + q = 36. Solve 3*w + 2*c - q = 0, 3 = p*w - w - 3*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 19184*q**3 + 8941780*q**2 - 8922592*q = 0.\nAnswer: -5224, 0, 1, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*y**3 + 4*y**3 + 4*y + y wrt y.\nAnswer: 162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(3)*3 - sqrt(1008)\/sqrt(7))\/(-1*sqrt(48)*-3).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let b = -34 - -31. Determine j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 3411225*d\/4 - 852807.\nAnswer: 3*(d - 1)*(d + 1137076)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 262 + 806.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 60*x**2 + 141*x + 150*x - 291*x in the form u + b*x**3 + h*x + k*x**2 and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 5*j - 5. Let o(l) = 14*l**2 - 14*l + 15. What is 3*o(q) + 8*z(q)?\nAnswer: 2*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -16 - 38 - -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:36 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -117, -142, -153, -156, -157?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 82*r - 153. Let h(u) = -u. Let x(q) = g(q) - 5*h(q). What is the derivative of x(v) wrt v?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794980091?\nAnswer: 3, 598326697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1168878302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/26)*d**(-2\/5)*d**(-2\/17)*d**(-3\/4))**(2\/163) assuming d is positive.\nAnswer: d**(-5773\/360230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52674? (a) 0.1 (b) 5 (c) -156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-166)\/(-24) - 18\/(-1728)*8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (572004\/(-16160))\/(6\/1). Let w = -1\/1616 + o. Let s = -1484 - -11887\/8. Calculate the common denominator of s and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 4*l**2 - 2*l**2 + (-l + l - 2*l)*(-104*l - 41*l + 43*l).\nAnswer: 206*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50750?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 62474.5938732.\nAnswer: 62475.0938732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 10. Let u be n(-6). What is the third derivative of 9*m**u + 50*m**3 - 46*m**3 - m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 4*c - 4. Let k be j(4). Let i = k - -7. Solve i*q - 5*r = -q - 21, -3*q - 2*r + 13 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -0*n + 4*d - 32, -11*n - 67 = -4*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 10*w - 4. Let t(h) = -6*h**2 - 33*h - 12. Let y(j) = -2*t(j) + 7*v(j). Give y(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312 times -0.2?\nAnswer: 662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102203.\nAnswer: 102203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqghgac. What is prob of picking 1 c and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1 - 14\/(-6)). Let g = 3672 + -7345\/2. What is the fourth smallest value in g, -3, o, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -608 - -604. Let v be (-84)\/44 - (-4)\/2. Which is the third smallest value? (a) 5 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = 4*r - 715, -2*r = -2*l - 350. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 14. Which is smaller: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdvmmymmcmmm. What is prob of sequence yv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460251697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q. Let t(s) = s + 1. Let a(u) = -5*u - 2. Let l(i) = -3*a(i) - 6*t(i). Let m(r) = 3*l(r) - 4*w(r). Let v(h) = 2*h. Give m(v(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13.9 (b) 2 (c) -0.02 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1322318369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*h + 118 = 0, 65 = 5*c + 3*h - 569. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-1)\/(-8) - (375\/40 + -2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-32)\/72)*18\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -7*r**3\/3 - 74*r**2 - 356*r\/3 + 40 = 0.\nAnswer: -30, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1476*b - 21*b - 226*b as p + z*b and give z.\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -27*v**3 + 5*v**2 - 5*v + 5. Let p(b) = 40*b**3 - 8*b**2 + 8*b - 8. Let f = -668 - -663. Determine f*p(g) - 8*i(g).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27795 - 29159.1. Round a to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479370 is divided by 68468?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*v + 15*v**5 - 48 - 10*v**5 - 69*v**3 + 21*v**2 - 8*v**5 + 27*v**4 = 0. What is v?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 97, 189, 319, 493?\n\"Answer: a**3 + 10*a**2 + 23*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6588 - 3*h**2 + 0*h**2 - 3301 - 3287.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 18 = -2*h, 0*u + h = 2*u + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.20262363 to one dp.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 + 2*n - 4. Let j(r) = -r**2 + r - 1. What is b(l) - 5*j(l)?\nAnswer: -l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 0 - (-8 - -6). What are the prime factors of x\/10 - (-4536)\/60?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9888512 (base 10) in base 6?\nAnswer: -551540052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 125. Let c(v) = -s - 4*v**2 + 5*v**2 + 66. What is the remainder when 50 is divided by c(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*z**2 - 89*z + 1109 wrt z?\nAnswer: 16*z - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (72\/54)\/(1\/18*-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**3 + 1813*a**2 + 12612*a - 54180 = 0.\nAnswer: -1806, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8*h = -4*h + 34, 0 = -2*s - h + 29. Suppose 9*v - 115 = -3*w + 4*v, -3*v = -s. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-216) - (261\/(-72) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 + 13*c. Let y(k) = -4*k**2 + 13*k. Calculate -4*n(v) + 3*y(v).\nAnswer: -4*v**3 - 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -491, -521, -549, -575, -599?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30567 and 14290737.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -869*o**2 + 2*o**3 + 869*o**2 + 2 + 3*o**3 + 3*o**3 - 5*o**3 + (o - o + 3*o**3)*(2 + 2 - 2) in the form f*o**2 + h*o**3 + m + v*o and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coi when three letters picked without replacement from {i: 1, v: 4, c: 4, r: 1, o: 6}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914144 is divided by 283?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = f - 42. Let i = f - 7. Let z = 14 - i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 780902160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33281606 to the power of 1\/2, to the nearest integer?\nAnswer: 5769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455364708?\nAnswer: 2, 7, 51977311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2136744 meters in centimeters?\nAnswer: 21.36744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -155. Let r = 48 - o. Suppose 2*q + q = m + 7, 0 = r*q + 2*m - 16. Solve g = -5*y + q, -5*y + 3*g = g - 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0724 - 0.0724. What is the biggest value in 0.4, -4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -181*o**2 - 3*o. Let u(v) = 1161*v + 5. Determine u(a(y)).\nAnswer: -210141*y**2 - 3483*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 59164571 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22531520 and 2048320?\nAnswer: 22531520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*a*k**5 - 6*a*k**2 - a - k**4 - 1622*k wrt k.\nAnswer: 1360*a*k**3 - 12*a - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/6, -144, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 7. Let n = g - -2.8. Let k = -3 - -3.2. What is the third smallest value in n, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6938450 and 24160?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -446 + 445. What is the second biggest value in -0.082, 0.1, g?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62*-3*2\/(-12) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, -118, -5, 3, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6463 + -434385. Let m = 427919.97157 + j. Let t = 2.03 + m. Round t to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*u - 3*u + u)*(-3*u - 2*u + 3*u) + 3*u**2 + 0*u**2 - u**2)*(-6*u**2 - 356*u + 356*u) as p*u + n*u**4 + y*u**3 + s*u**2 + h and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995 divided by 6826.\nAnswer: 995\/6826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170023258 to the power of 1\/2, to the nearest integer?\nAnswer: 13039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4050076493?\nAnswer: 103, 39321131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -2, -24 in increasing order.\nAnswer: -24, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115.688 millennia to months.\nAnswer: 13388256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1990167517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.3, 2\/5, 0.0617, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4275552 litres in millilitres?\nAnswer: 427.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 57 - 117. Suppose 0 = 2*g - 0*g - y. Suppose 0 = -5*s - g*o + 3*o + 995, -2*o - 796 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -0.293323.\nAnswer: -0.393323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 2*n**2 + 2 - 2*n - n - 2*n**3. Let c be ((-1)\/3)\/(((-703)\/(-114))\/(-37)). Let y(b) = -4*b**3 + 5*b**2 - 6*b + 5. Calculate c*y(x) - 5*l(x).\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3047 or -121074?\nAnswer: 0.3047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9749, -9344, -8947, -8558, -8177, -7804, -7439?\nAnswer: -7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/911 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27343 + -711?\nAnswer: -30254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q**2 + 19*q - 259. Let m(w) = -18*w**2 - 27*w + 388. Determine -7*h(y) - 5*m(y).\nAnswer: -y**2 + 2*y - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14671917, -14671911, -14671907, -14671905?\nAnswer: -14671905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 699*t\/4 + 1211.\nAnswer: (t - 692)*(t - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 28 = 10. Let i = b - 3. Let o = 51 - 47. Calculate the remainder when o is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 294 + 38 - 3 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 33. Let s = b + 15. Solve -s*k + 4 + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5040)*2)\/(sqrt(7) + sqrt(7) + 1*(sqrt(7)*2 + sqrt(7))).\nAnswer: 24*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1098108922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 2, 216\/29, 0, 3.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 2.47 (c) 14.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let c(v) = -3*v - 47. Let t be c(-16). Let o(i) = -i**3 + 4*i**2 - 5*i + 3. Let z be o(3). Put d, t, z in ascending order.\nAnswer: z, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose w*j - 14 = -4*q, -10 = q - 6*q - 5*j. Suppose q*h - 28 = 17. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 8:37 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:37 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2308*b**3 - 2*b + 6. Let n(d) = 6923*d**3 - 7*d + 20. What is 10*g(s) - 3*n(s)?\nAnswer: 2311*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (357\/(-34))\/((-3)\/2). Suppose -j - 28 = -v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7536*c. Let u(j) = -2*j - 113. What is g(u(l))?\nAnswer: 15072*l + 851568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6246a31 (base 11) to base 15\nAnswer: -e79e77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30055\/1901 less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 9 + -15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -282 + -9a?\nAnswer: -34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7926186 + 0.1\nAnswer: 7926186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-140))\/((-38)\/(-95)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/3625 - -169\/79750. Let f = 9407\/2233 + c. Let p = -800 - -14419\/18. What is the common denominator of p and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 100, 337, 804, 1579, 2740, 4365?\nAnswer: 6532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-7 + 4) - (2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 0. Let z(r) = -r**2 + 349 + r - 181 + r**3 - 176. What is z(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3432 by -6.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842106 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710543 is divided by 226?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 5061 - 5065 + 10126.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 41*f - 625 = -82*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 204*j**3\/5 + 1142*j**2 + 39928*j\/5 - 392\/5.\nAnswer: 2*(j + 14)**2*(102*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/6))\/(c**(-1\/4)*c)*(c\/(c*c*c**(-1\/3)*c*c))\/(c\/c**(-8)*c))\/(c**(-10)*c*c*c*(c**(-10)*c)\/c)**(1\/29) assuming c is positive.\nAnswer: c**(-3827\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-4)*264\/15. Let u = o - -292. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4.92, -8, 71, 17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 4:58 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:07 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h + 0*h)*(4410 - 2096*h - 4410).\nAnswer: -6288*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/6 + 4*h + 1. Let a(u) be the first derivative of i(u). Let y(b) = 2*b. Give a(y(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - i**2 - i - 1. Let l(r) = -4*r**3 - 8*r**2 - 8*r - 4. Let z(c) = 6*a(c) - l(c). Factor z(s).\nAnswer: -2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -156*x**3 - 320*x**2 - 172*x - 8 = 0.\nAnswer: -1, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, -75, 6\/11, 0.003 in increasing order.\nAnswer: -75, -5, 0.003, 6\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1897.4 and -13.3.\nAnswer: -25235.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16488223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 11*u - 244. Let k be l(-22). Which is the second biggest value? (a) k (b) -2\/49 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*u. Let l(z) = -u*z**2 - 1 + 4 - 4 + 2*z**2. Suppose -3*c - 1 = -m - 0, 0 = c - 4*m + 15. Give l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3110135, 12440535, 27991199, 49762127, 77753319, 111964775, 152396495?\nAnswer: 199048479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9424 = -4*m, -3*p + 8*m + 7054 = 4*m. List the prime factors of p.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/4*(-1 - (-8944)\/(-56)). Let b = 267 - d. What is the common denominator of -58\/3 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/60 - a**5\/20 + 11*a**4\/24 + a**3 - 1051*a. Solve z(b) = 0.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = o. Let l = 65\/31 + -99\/62. Suppose -l*h**3 - 2*h + 5\/2*h**o + 0 + 6*h**4 - 6*h**2 = 0. Calculate h.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63471761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91 - (-35 + 99)) + (0 + 1 - 7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 90*p - 2149. Give a(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149.6659 + 149.5888869. Let z = 0.077 + l. Round z to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2114 and 43\/14?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-28))\/((3572\/(-133))\/(-47))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5951904 decades to millennia.\nAnswer: 0.005951904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:11 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three fifths of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - 183 - -110 - -78?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24284.31ms in microseconds?\nAnswer: 24284310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50622120?\nAnswer: 2, 3, 5, 140617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 7*i**2 - i. Let l(s) = -6*s + 221. Let u be l(38). What is z(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**3 + 0*r**3 - 2*r**3)*(1 - 3 + 1) + (-r**2 + 2 - 2 - 1)*(6*r + 2*r + 0*r) in the form x*r**3 + a*r**2 + s + n*r and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 - 29465*w**3 + 323710*w**2 - 1176640*w + 1411680 = 0?\nAnswer: 3, 4, 5882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2954*o = 6029*o - 3017*o + 174 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, f: 11, z: 1}. Give prob of sequence bbbz.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57377?\nAnswer: 181, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -1339, -2987, -5287, -8239?\nAnswer: -11843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-2\/3)*t\/t**8*t**(1\/2)*t*t\/(t\/t**(6\/7)) assuming t is positive.\nAnswer: t**(-83\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29149 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -10*s - o - 14, -6 = -2*s + 4*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2906*b + 2637*b = 469*b - 4127 + 247679 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 7:43 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/66192 and -113\/3546?\nAnswer: 198576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/35 - (-3 - 5\/7). Solve -l = -0 - u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 4*g**2 - 6*g. Let d be m(-4). What is the highest common divisor of d and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763484?\nAnswer: 2, 190871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m**2 + 20*m + 71. What is the hundreds digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16813 greater than or equal to -16811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -17*d + 315. Let c be y(16). Solve -c = 5*a - 38 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-48)*11756\/(-6). Let z = -327 - t. Let c = -1 + 1. Is c bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*o - 39, -5*o - 10 = -2*l + 13. Let c = 19 - l. Suppose -160 = -3*y + b, -2*y + 0*y + 98 = -c*b. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.81, -1, -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = 2*p. Let z be (-2)\/6*(1 + p). Solve 2*j + z = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a**(-17)\/a))*a*a**25*a*((a*a\/(a*a*a\/a**14*a))\/a)**39 assuming a is positive.\nAnswer: a**438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + o**2 - 4*o**2)*(-4*o - 2*o**2 + 4*o) + (7*o + 9*o + 26*o)*(1200 - 54*o**3 - 1200).\nAnswer: -2272*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.47014 micrometers in kilometers?\nAnswer: 0.00000007847014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 bigger than 246917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 4. Let p be n(7). Suppose p*d = 3*i - 33, -d - d = -5*i + 67. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Let x = 7 - h. Find the first derivative of 1 - s**x - 4 + 1 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7618?\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1981*m**4 - 1567*m**3 + 1567*m**3 + 1823 wrt m?\nAnswer: 7924*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 12. Let p be s(-8). Let j be (p\/14)\/((-12)\/(-84)). Sort -3, j, 4, 1 in ascending order.\nAnswer: -3, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z - 1. Let x(c) = 2*c**3 + c**2. Let f be x(-1). Let i(n) = -6*n**2 + 8*n - 2. Let w(l) = f*i(l) + 3*a(l). Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14461 - 7028. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -25*p. Let s(j) = 44*j - 10*j - 25*j. Give s(x(t)).\nAnswer: -225*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:22 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(-19 - -19) - -82. Factor -8*c**2 + 8*c**3 - 30*c**2 - j*c + c**3 - 42 - 4*c**3 - 3*c**3.\nAnswer: 2*(c - 21)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m**(-9\/4))\/((m\/(m*m**(2\/7)))\/m*m)**(-2\/9) assuming m is positive.\nAnswer: m**(-2347\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {l: 10, i: 6, a: 2}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/18 + (370\/15 - -1). Solve x = -m, -5*x = -5*m - 13 - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10585\/9 - -1176. Let p = -8 - -14. What is the second smallest value in o, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i - 9836. Let r(z) = -z + 2. Determine r(h(m)).\nAnswer: 7*m + 9838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1067968 milliseconds in seconds?\nAnswer: 0.0001067968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26334\/(-774) - -34)*(-3 + 30\/6). Let o = -0.3 + -0.2. Which is the biggest value? (a) -0.1 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.3 - -25. Let b = h - 1.6. Put -12, b, 0.4, -0.2 in ascending order.\nAnswer: -12, -0.2, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 19. Let j be h(17). Suppose j*d = 5*d - 33. Let g be (-4)\/d*(-44)\/8. Solve 2*l = -0*l - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/86358411 and -1\/69?\nAnswer: 1986243453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 385.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-6) + 13\/((-13)\/8). Solve -47 = l*t + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b - 21. Let p = 19 - 27. Let m(d) = -7*d + 14. Let q(h) = p*m(h) - 5*w(h). Let a be q(6). Is 2\/7 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -224 - 16. Let s = t + -31. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7066855.\nAnswer: 5, 1413371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14039298019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -90.5 and 0.2.\nAnswer: -90.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4397 is divided by 3263.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8547, 8532, 8517, 8502, 8487, 8472?\n\"Answer: -15*z + 8562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-30))\/(-2))\/((-6)\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*f**4 - 4*f**4 + 0*f**4 + 4*f**4 - 6*f**4 + f**4 + (0*f - 4*f + 2*f)*(0*f**3 + 0*f**3 - f**3) - 2*f + 2*f + 2*f**4 - 18*f**3 + 18*f**3 - 56*f**4.\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 1435. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p - 2 - 1\/2*p**2. Suppose 0 = -30*s + 55 - 115. Let z(l) = -2*l + 1. What is s*z(u) + 3*v(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -61*j**5\/60 - 19*j**4\/12 + j**2 + 7*j. What is the second derivative of u(d) wrt d?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*k**5 + 884101*k**4 + 2*k**2 - k + 48897 wrt k.\nAnswer: 1320*k**2 + 21218424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210154538.\nAnswer: 2, 11, 101, 271, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/(-2)*26. Let i(b) = b**3 - 12*b**2 - 108*b - 36. Let w be i(18). Is w bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**2\/2 - 15*j + 90. Calculate a(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-4))\/(6\/8). Let d be (2 - i)\/(2\/5). Suppose b - 5*b + d = 0. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 9*c**2 + 12*c - 14. Let o be g(10). Suppose 5*x + 26 = o. What is the remainder when x is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 347*k**2 - 19381*k + 2494. Determine g(-277).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -6 - (5 - -1 - (99 + -42 + -35))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 4*x + 16, -3 = x. Let z(f) = f**2 + 7*f + 2 + 4 + p. Give z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/32 and -14\/387.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 6529.\nAnswer: 124\/6529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6 + (-2840044)\/112176. Let b = a - -882\/41. Find the common denominator of b and -11\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llttotw. Give prob of picking 1 o, 1 t, and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - w + 7, 6*w = -2*m + 3*w + 16. Suppose 0 = -u + 2*k - 4*k + 2, -u + 3*k = 3. Solve -z - 4 = -n, u = -2*n - m*z - 0 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11207164 and 729560.\nAnswer: 5612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.6068296 milliseconds in days?\nAnswer: 0.00000020378275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42096 divided by 3508?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + q - 1 - q**2 + 2*q**2 + 2*q. Let o be r(-6). Let n(j) = 4 + j**3 + 6*j**2 + 0*j - 7*j - 2*j**3. Determine n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-90)*(-5)\/(-6) + 273\/42\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5714 times 0.18?\nAnswer: -1028.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6) - -2 - (-22946)\/3129\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.514*0.16\nAnswer: -0.08224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3530\/7766 - (-62)\/33\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -1\/4, -4, -0.5, 8.7, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-1 - 0) - -7. Suppose 3*a = -1 - u. What is the least common multiple of 16 and (-5)\/a*(0 - -6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 4896?\nAnswer: 53856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - u = 140 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 46177*w**3 - 30392*w**2.\nAnswer: 240*w**3 + 277062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -404533235 (base 6) in base 9?\nAnswer: -14060615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339465*y + 19 + 339431*y - 19.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -9, 5 in descending order.\nAnswer: 48, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11443847.28 less than -180?\nAnswer: -11444027.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*sqrt(11)*2 - sqrt(11))**2 - (sqrt(11) + (3*sqrt(132))\/sqrt(12))**2).\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) 26 (d) -1\/33 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165334 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {t: 10, x: 4, a: 4, u: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**3 + 56*x**3 + 63*x**3.\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 96937?\nAnswer: -96937.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.016 + 9.016. Let l = -6 + q. Which is the second biggest value? (a) 1\/13 (b) -5 (c) 3\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxz when three letters picked without replacement from zpxsz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -35*1\/(-5) - 5*(-2)\/(-70)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130.543 + 131. Let k = i + -0.057. What is the nearest to k in -3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -8*j + 140. Calculate the greatest common factor of j and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*f**2*t**2 - f**2*t + 38*f**2 - 9*l*t**2 - 9*l*t wrt t?\nAnswer: 40*f**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 4. Suppose 3*o - 2 = 22. Let d be a(o). Let h = d + 7. Solve 5*q = 4*q - h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:13 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.236 - -1.764. Let o be -1 + (-6)\/(-8) - -1. Which is the nearest to 1? (a) o (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2 + (-2)\/(-4) - (-30096)\/(-9504)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139269258 rounded to 5 dps?\nAnswer: -0.01393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x + 16. Let c be (-6)\/5*70\/(-21). Let w(k) = -k**3 + 5*k**2 - 7*k + 5. Let v be w(c). List the prime factors of p(v).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjdhdhddddzdhdhdrd. Give prob of picking 1 r and 3 h.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 121. Suppose 2*w = -2*o + 630, 3*o - 1575 = -2*o - 3*w. Calculate the greatest common divisor of d and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -72. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1177429 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1203 divided by -1.\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5749006 is divided by 369.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 4*j**2 + 5*j - 2. Let y be i(3). Suppose 2*d - 388 = -2*d + y*u, -3*u = -4*d + 386. Suppose 3*a - 10 = d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4966\/(-9) - (-74)\/(-333). Let c = d + 1267. What are the prime factors of c?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40232 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.5, -2\/11, 0, -312.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + x - 4*x = 4, -3*f + 9 = -4*x. Let j = 41\/224 + 5731\/1120. What is the common denominator of j and -15*(f - 3\/54)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 + -0.05. Let r(h) = -2*h**2 + 17*h - 27. Let f be r(7). Let v be ((-8)\/f)\/((-204)\/18). Which is the second biggest value? (a) 1 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttuuttututututtuuut. What is prob of sequence utut?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = o - 5, 0 = 2*o - 3*a - 11. Let u = -60 + 62. Suppose -101 = -u*s - 3*f, 2*s = -2*s - o*f + 204. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1105*b**2. Let f(o) = o**2. Calculate f(c(d)).\nAnswer: 1221025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 3)*((2 + 1 - 2)*(6*r - 1 + 1) + 2 + r - 2) as n + w*r and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4802.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, w: 1, m: 5}. What is prob of sequence wff?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4. Let n be v(0). Let s be (n\/(-110))\/(-2 - (-36)\/20). Which is the nearest to 2\/5? (a) 1\/5 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -0.1 (b) 0.6 (c) -2\/7 (d) 0.1 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -334278 * 0.2\nAnswer: -66855.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27191838 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -13*j - 49. Let d = j + 41. Suppose -18 = -2*k - d*k. Solve 3*x + 0 = 4*i + k, 2*i - 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8131043 milligrams?\nAnswer: 0.0000000008131043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2487, 2532, 2581, 2634, 2691, 2752?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150774688\/1463712 - 4\/474?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/420 and -17\/1692.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-126)*-1*(-1)\/(-3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -26. Let r = -32.5 + c. What is the nearest to -0.03 in 0.2, -3, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11457567 and -0.0942201.\nAnswer: -11457567.0942201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -199994.5 to the nearest one hundred.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, -1, 4, 0, -2 in decreasing order.\nAnswer: 380, 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1\/27 (c) 5 (d) 1 (e) -1361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33, -6.\nAnswer: -33, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1978387512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5\/5 - 1052*u**4\/5 + 68576*u**3\/5 + 86528*u**2\/5 - 219648*u - 1115136\/5 = 0.\nAnswer: -4, -1, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 2*n - 2*n)*(86 + 88 - 221)*(9 - 17 - 11).\nAnswer: 3572*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2267*g = -1599*g - 116*g + 990*g + 59840 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 30. Suppose r = -3*r + c. Suppose -4*t = -5*h - 0*h - 40, -r*t - 3*h = 2. Solve 4*m + 15 = -t*x, -3*x - 9 = -3*m - 0*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + 870\/12 + 6)*2.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22181838443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.083 and 0.358421.\nAnswer: 0.029748943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/7 + 128682210*j\/7 - 4139777792621025\/7 = 0.\nAnswer: 64341105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1359*w**2*y**3 + 18*w**2*y**2 + 161965*w**2 wrt y.\nAnswer: -4077*w**2*y**2 + 36*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/42 + x**4\/12 + x**2\/2 - 2*x. Let l(j) be the first derivative of y(j). What is the second derivative of l(m) wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 20 = -10. Suppose -d - 5*n - 4 = 0, 3*d = -0*d - 3*n + 48. Let a = 21 - d. Sort a, u, -2, -2\/5.\nAnswer: -2, -2\/5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281927976 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102101 - -3221333?\nAnswer: 10330100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-41 + -5*(25 + -30)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-1*2)\/((sqrt(11) + sqrt(891)*-1 - sqrt(11)) + sqrt(11)) + 3*sqrt(33)\/(sqrt(12)\/sqrt(36)).\nAnswer: 37*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(190)\/(sqrt(50)\/sqrt(5) + sqrt(10)) + (sqrt(19) - sqrt(38)\/sqrt(2)*5))**2.\nAnswer: -21*sqrt(19) + 967\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 9 - 11, 0 = -2*n - t + 36. What is the remainder when 51 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(9\/7))\/(k**(-5\/6)\/k*k*k) assuming k is positive.\nAnswer: k**(23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i - 41*i + i**2 + i**2.\nAnswer: 2*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2)*3*1\/39\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/4, 1, 86 in decreasing order.\nAnswer: 86, 2, 1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 2*n - 3. Let w be c(-4). Suppose -2*a + 83 = -7. What is the highest common divisor of w and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951202051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 82*n**2 - 12*n + 163. Let j(r) = 83*r**2 - 10*r + 161. Let i(p) = 6*j(p) - 5*v(p). What is the first derivative of i(a) wrt a?\nAnswer: 176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4993b1 (base 12) in base 14?\nAnswer: -232885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-0.17\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 1)*(0*w - w - w + 3*w + 2*w - 6*w + (0 - w + 0)*(2 + 2 - 1) - 3*w + 6 - 6 + 4 + 0*w + 2*w + 3*w).\nAnswer: -4*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zghi when four letters picked without replacement from {k: 4, i: 3, h: 3, g: 1, z: 2, t: 4}.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2416 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*w - b + 4, 0 = 3*w - 2*b - 35. Solve 5*z = 33 - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154480345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.57 - -0.43. Which is the second biggest value? (a) 0 (b) 2 (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138645*c**2*i**3 + c**2*i + 56518*c*i**2 + i**3 wrt i.\nAnswer: -831870*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 3*u + 100 = 0, -5*u + 90 = 5*v. What is the lowest common multiple of v and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-161)\/23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5467 + 5599. Calculate the remainder when w is divided by ((-4)\/(-4))\/(1\/29).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 = 9*z - 12*z, -3*z = -12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 4 + (0 - 3 + 2)*(4 + 0 - 6) + 3 + 2 - 3 + 0 - 3 + 1 - 5 + 4 + 3)*(596*d - 462*d - 607*d) to the form q*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -2, 0.5, -59?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144468273 to the power of 1\/2, to the nearest integer?\nAnswer: 33830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2321\/7 - 331. Which is the third smallest value? (a) 0.3 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 11 - (-139 + 131).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0 + 0*g**2 + 6*g - 1\/3*g**3. Let v(m) = -4*m**2. Give i(v(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 - 2 = 0. Let k be (132\/16)\/(x\/(-20)). Is (k\/12)\/((-1)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213644 (base 16) to base 3\nAnswer: 11002120201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14737 = 63*x - 15204 - 14673 + 42598 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**4\/4 + 3*v**2 + 19*v - 76. What is the first derivative of s(u) wrt u?\nAnswer: -9*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1984*x + 32281 + 33191 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9654 is divided by 3189?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/270)\/(1\/15)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 96 = -6*z. Let m be 3\/(-1 + (-115)\/(-112)). What is the highest common divisor of m and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9*a = 36. Let t be a - 33\/(-6) - (-5)\/2. Differentiate -4 - 7 - t - 22*u + 4 wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4429*f**4 - 396*f**2 - 3*f + 4 wrt f?\nAnswer: -106296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 - 42. Let k(r) = 47*r**2. Calculate k(c(y)).\nAnswer: 47*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 2*t + 12 = 0, 3*x - 38*t = -34*t - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 202*s + 1. Let h(i) = 606*i + 3. Let v(k) = 3*h(k) - 8*p(k). Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = 7, c + 388 = 4*i. What is the greatest common factor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**3 - 110*u**2 + 107*u**2 + 2*u**4 - u**4 to the form o*u**2 + a + w*u**3 + q*u + s*u**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5087176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -22, 16, 70, 140?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -158219130 to the nearest one hundred thousand.\nAnswer: -158200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -238*u - 1857. Determine y(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 32. Let n = -12 + h. Let m = n + 13. Calculate the remainder when 29 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and -33\/3514?\nAnswer: 7028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + k)*(-k - k + 4*k)*(-6 + 2 - 3).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8*h = -180. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/4 (b) 0.12 (c) -0.4 (d) -151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 339, 1, 0, 4 in descending order.\nAnswer: 339, 4, 1, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905057417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7\/4 (b) -1 (c) -1.8625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -481, -723, -965, -1207?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222000 and 535760.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(6\/23)*r**(-3\/8)*r**(-1\/5) assuming r is positive.\nAnswer: r**(-1009\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-1)\/(sqrt(200)*-2) - (-1*(sqrt(76) + -3*(-1*sqrt(76) + sqrt(76)) + sqrt(76))\/(-1*sqrt(100) - sqrt(100)))**2.\nAnswer: -3*sqrt(19)\/10 - 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*s + 3, 4*d + s = -0*s + 19. Suppose 0 = d*a + 6*a - 192000. Round a to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -611122, -611567, -612022, -612493, -612986, -613507, -614062?\n\"Answer: -w**3 + w**2 - 441*w - 610681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566579837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1943, 3932, 5921, 7910?\nAnswer: 9899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/42)\/(-5)*-4\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 1, i: 1, z: 2, k: 1}. Give prob of picking 1 r and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 82\/(-15) + 24\/180. Which is the second smallest value? (a) -2\/5 (b) 4 (c) 4\/9 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -112, -236, -410, -634, -908, -1232?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 843, 1717, 2677, 3597, 4351, 4813?\nAnswer: 4857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41909238 is divided by 79.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-2*x**3 + 0*x**3 + 0*x**3) + 220*x**3 - 352*x**3 + 313*x**3 + 6*x**3 - x**3 - 3*x**3.\nAnswer: 185*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9711848872.\nAnswer: 2, 11, 59, 1870541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122212201112 (base 4) to base 9.\nAnswer: -14107782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (6\/7 - 2112\/210)*(25 - 20).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3 + o + 0 + 0*o in the form a*o + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -10) + 14 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192 and 0.2.\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 127. Let y be w(32). Suppose -23*k = -y*k + 40. Solve -k = 4*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233124761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 48494 > 630429\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -29 + 92 - 90.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 - 2*x + 22. Let u be k(8). Suppose -2*i + 1168 = -4*b, -19 = -5*b + u. Does 66 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, and 1 u when three letters picked without replacement from znjju.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*o**3 - 485*o**3 + 127*o**3 + 117*o**3 + 130*o**3.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3391461 and -8.\nAnswer: -8.3391461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 262 - 9*w + 131 + 127 to the form z + y*w and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-2*c**3 + 0*c**3 + 3*c**3)*(-1 + 2 - 8).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - 2.98. Let k = -1 + s. Which is the nearest to -1? (a) k (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137 - -62?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 117 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7546 and 49262906?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + g + 168, -2*g + 6*g + 232 = -4*h. Let u be (-10)\/h + 126256\/11. Suppose -w = -112478 + u. What is w rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*r = -9, 4*v + 5*r - 367 + 314 = 0. Which is the smallest value? (a) -1.9 (b) 0.4 (c) v (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22385381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 + 2*v**3 + 3*v**3)*(-4 + 4 + v**2 - 2) + 7*v**5 - 2*v**5 - 12*v**5.\nAnswer: -8*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26405426, 26405423, 26405418, 26405411, 26405402, 26405391, 26405378?\nAnswer: 26405363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k*k\/(k**(-4)*k)*k*k)\/k)\/k**(-1))**5 assuming k is positive.\nAnswer: k**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -1)\/(135\/(-147) - -1). Let p be 2*(-7)\/a*7\/(-5). Factor p*l**2 + 6\/5*l + 0.\nAnswer: 2*l*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192900000 rounded to the nearest 1000000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 + 0*h**2)*(h - 2*h + 3*h) + 2*h**3 - 5*h**3 + h**3 + 1293297*h - 1293297*h - 3719*h**3.\nAnswer: -3717*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1954 in -75, 0, -46\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35639631*j**2*w**3 + 7*j*w**3 - 43*j*w**2 + 114*w**3 + w**2 + 7 wrt j?\nAnswer: -71279262*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 + 186*b**3 + 183*b**2 = 0.\nAnswer: -61, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10069993691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59915339 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5601453869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20039 - -70666. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 4*f - 19*f + 2*m = -3, 24*f = -5*m - 62 + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = 5*a - 47. Let o = 239 + a. What is the greatest common divisor of o and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -960*d - 4798. Let u be r(-5). Solve -u*m + 28*o - 31*o + 8 = 0, -5*o + 20 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1427214 and 6?\nAnswer: 1427220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/15, -3, -5, 11\/243, -1\/6, -10\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 7. Let n(i) = i**3 - 4*i**2 - 20*i - 4. Let f be n(7). Suppose 140 = -13*b + f*b. Let x(l) = -6*l - 20 - 4*l + 4*l. Calculate b*d(o) - 5*x(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 20000053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -13. Let z = f - 12.6. Suppose l - m = m - 7, m - 4 = 0. Which is the closest to l? (a) 2 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (3 + 1 + sqrt(972) + -2)*2).\nAnswer: -108*sqrt(3) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 - 5*a + 4. Let p(i) = -4*i - 40. Calculate the remainder when y(6) is divided by p(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -313021\nAnswer: -1565105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222300 (base 4) in base 5?\nAnswer: 204312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r - 7. Let i(q) = -7*q - 3. Let v(n) = -6*g(n) + 13*i(n). Differentiate v(d) with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 20. Let j be s(-16). Suppose 5*f - j*o = 118, 6*f - 96 = 2*f + 4*o. What is the third derivative of 8*i**5 + f*i**5 - 25*i**5 + 37*i**2 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 5904 - 5832. Solve 5*b - a = -4*s, -3 = -b - 4*s + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15382 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: Evaluate (24\/(-30))\/(42\/300)*(-105)\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104, -341, -702, -1187, -1796?\n\"Answer: -62*t**2 - 51*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 3*p**2 - 3*p. Let g be 696\/32*12\/9. Suppose 32*i - 3*b - 168 = g*i, 206 = 4*i + 5*b. Calculate the smallest common multiple of i and k(-2).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - 1, 5*d - n = 531. Let w = d + -63. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9*k. Suppose k = 2*j + j - 4*u - 74, -5*j = -5*u - 130. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-21)*(14\/7)\/(14\/(-7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9766246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 101*q**2 - 311*q**2 + 106*q**2 - q + 103*q**2. Let i(z) = z - 1. Suppose t + 8 = -t - m, -m - 10 = 3*t. Determine t*i(s) - 3*k(s).\nAnswer: 3*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166462, -166247, -166032, -165817?\nAnswer: -165602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -30, -46, -62?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 3\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:39 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h)\/h)**(-1\/34)*(h\/h**18)\/(h\/h**(-5\/7)*h) assuming h is positive.\nAnswer: h**(-2360\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0 + (-5 + 1 + 2)*(-28 - 53 + 24))*(2 - 2 + y) to the form k*y + f and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300.8 - 0.02592.\nAnswer: -300.82592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181027?\nAnswer: 7, 11, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -1131?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2 + 28*q + 14. Let z be i(-14). Find the third derivative of 56*j + 11*j**2 + 18*j**4 - z*j wrt j.\nAnswer: 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from bppwppwppdlpll?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3126, -8274, -13410, -18528, -23622, -28686, -33714, -38700?\n\"Answer: w**3 - 5155*w + 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61245, -61284, -61393, -61608, -61965, -62500, -63249, -64248?\nAnswer: -65533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250257 is divided by 430.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/20*(-4)\/(-6)*20. Let f(x) = x + 8. Determine f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -18*c + 16*c. Let o(f) = -f**2. Let p(d) = -2*d**2. Give c*p(y) + 11*o(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 329065400527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/5 (b) 2 (c) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 60, -0.2, 2, 11, 2\/653?\nAnswer: 2\/653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 + 0.39106. What is s rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 2*z - 25. Let m(a) = -4*a - 2. Let g(q) = -5*q - 2. What is z*g(h) - 6*m(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -23, 2, -2, 4 in ascending order.\nAnswer: -24, -23, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 1, h: 7, z: 6}. Give prob of sequence wwh.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 12*s + 77 = 5*d, 3*d + 3*s = 51. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = -6*k. Suppose -2*t - k*t + 140 = 0. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 2. Let g = 77 + -83.4. Let i = -6 - g. What is the second biggest value in 2, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a - 5. Let o be 0 + (18 - a - 1). Let f = o + -11. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*i - 427 = 1453, 4*d + 1527 = -3*i. Let z be 4\/(-10) - d\/70. Solve -3*a = -2*m - z, m = -2*m - 4*a - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 38 + 40 - 92 + 4*s**2 in the form h*s**2 + i + j*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.97704ml to litres.\nAnswer: 0.05497704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2, 2\/1239, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 3*w + 22 - 8 - w. Let l be o(-9). Solve 0 = x + s + 4, -l*x - 10 = 4*s - s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 305218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 + -18 - -5) + 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 - 10.2. Let y = -7.92 + 8. Which is the third smallest value? (a) y (b) -1\/6 (c) 3\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z - 37*z + 54 + 2. Let s be ((-8)\/(-3) + 2)*27. What is the greatest common factor of z and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27594 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -571 - -611. Calculate the smallest common multiple of 10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23*n**6 - 11*n**2 - 4*n - 4. Let k(p) = -23*p**6 + 12*p**2 + 5*p + 5. Let m(r) = -5*j(r) - 4*k(r). Find the third derivative of m(c) wrt c.\nAnswer: -2760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 105. What is the greatest common factor of 26 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2962\/1203 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*d + 26, 0 = 4*j + 2*d - 3 - 9. Sort j, 5, -6, 0 in increasing order.\nAnswer: -6, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 248 = 700. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412765533, -412765534, -412765535?\nAnswer: -412765536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = 8. Let d(m) = 21 + m**2 - m**2 - 21 + 3*m - m**2. Let n(y) = -y. Determine l*d(r) - 6*n(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61.68 - -60.68. Which is the third biggest value? (a) 2\/9 (b) 1985 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 3*g - 4. Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-30 - (15 + -113 + 31))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180581548.\nAnswer: 2, 7, 17, 19, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -113?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n - 20. Let t(h) = -9*h + 17. Let d(o) = -2*m(o) - 3*t(o). Let g(z) = -17 + 17 + 3*z**2. Determine g(d(p)).\nAnswer: 27*p**2 - 198*p + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-126)\/216*(-18)\/30*5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 175*k + 6372. What is c(39)?\nAnswer: 2589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 + j + 21. What is the remainder when 61 is divided by d(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6204607 - 0.03404459\nAnswer: -6204607.03404459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h**2 + 41*h + 55. Let k(x) = 3*x**2 - 8*x - 11. Let c(o) = 2*g(o) + 11*k(o). Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 6*k**2 + 6*k + 6. Let d = -252 - -259. What is z(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from czczzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -6*p**7\/35 - 94*p**6\/25 - 319*p**5\/25 - 67*p**4\/15 + 656*p**3\/15 + 416*p**2\/5 + 105*p. What is x in g(x) = 0?\nAnswer: -13, -4\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/178 and 35\/2314?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*f - 2*h - 10 = -134*f, 5*h + 8 = -4*f. What is the biggest value in 545, 0, f?\nAnswer: 545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 17 + -3 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 2 - 5 + 2 - 12 to the form z*k**2 + m*k**3 + a + i*k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(-3\/2))\/h**(1\/5))\/((h\/((h\/h**(-3\/5))\/h))\/h**(1\/4)))**(-37))**(-24) assuming h is positive.\nAnswer: h**(9546\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-41)\/3)\/(132\/(-18)) and 93\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r. Let w(z) be the third derivative of 221*z**4\/24 + 498*z**2. Determine d(w(g)).\nAnswer: -884*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 892948, 1785899, 2678850, 3571801?\nAnswer: 4464752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 211 + (-40)\/(-4). What is the greatest common factor of 715 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 8:13 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -54. What is the smallest value in 1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -7*m - 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136922, -273898, -410874, -547850, -684826, -821802?\nAnswer: -958778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85\/(-153)*((-6)\/20 - 0). Let d be 6\/3 + (-16)\/10. Which is the closest to 0.1? (a) d (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6)*64\/(-32))\/((-12)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1203035*q - 1 - 1203039*q - q**3 - 3*q**2 - 2*q**3 as n + o*q**2 + f*q**3 + w*q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 9*c**4\/2 + 11*c**3\/3 + 18. What is the third derivative of x(j) wrt j?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2 + c - 2. Let u(q) = 12*q**2 + q - 2. Let v(o) = 4*u(o) - 3*y(o). Let r be (16\/(-68))\/(-2) - 32\/(-17). Is 18 a factor of v(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y - 7, 4*k = -2*y + 24. Solve -k = -5*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/67)*p)**(-1\/42)*((p\/p**0)\/p)\/p**(-31) assuming p is positive.\nAnswer: p**(12443\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.5 (b) 2746 (c) -0.5 (d) 4\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/11, -3\/5, -3, 0.35, -1, 1?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j + 5 = 0. What is the remainder when 35 is divided by (-36 - 2)*(-3 - j\/(-2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 68*d - 285. Is b(8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0*y + 0*y**6 + 1\/60*y**5 - 1\/70*y**7 + 0*y**4 + 0 - 2*y**2 + 0*y**3. Find the third derivative of l(s) wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*b + k - 30 = -282*b + 140*b, -42 = -2*b + 4*k for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 12. Let a be -2*1\/(-2) - u. Put a, -3, -4 in increasing order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -46.79. Let u = -0.19 + m. Let c = 2.02 - 0.02. What is the nearest to 1\/6 in c, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2*l + 10, m + 10*l = 5*l + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 580.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 16, 27, 36, 37?\n\"Answer: -o**3 + 8*o**2 - 10*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 25*n**2 - 19*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 2249980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57380\/69 - 454\/23. Let p be 2\/(-5) - 4342\/(-5). Let n = p + f. Calculate the common denominator of n and -89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + 7*a + 7. Let b(g) = -2*g**2 + 5*g + 5. Let w(k) = 7*b(k) - 5*y(k). Let u(f) = -2*f. Determine u(w(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16884511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k + 2. Let f be t(0). Suppose 11 = -3*b - 4*r, 0*b - r - 8 = -b. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011121 (base 3) to base 14\nAnswer: -44d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 + 0*i**2 - 5*i**2)*(20 + 9*i - 20) to the form w*i**2 + h*i + v + d*i**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3. Let s(u) = -2*u**3. Let z be (10 - 20)*(12\/(-5) - -2). Suppose 8 = z*q + 5*c, 3*c = q - 0*q + 15. Give q*g(x) - 7*s(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205595208 is divided by 239.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:59 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -105*r + 785 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 21 - 79 = 0. Let c be (k\/8 + 2)*10. Let x(i) = i**3 + 8*i**2 + 8*i - 2. Calculate the remainder when 130 is divided by x(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/8)*w)**(36\/11)\/(w**(-6\/7)*w**13) assuming w is positive.\nAnswer: w**(-421\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -3\/7, -2\/25 in decreasing order.\nAnswer: -2\/25, -3\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11730672 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 19, 12, -9, -50, -117, -216, -353?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56, 63, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 9*j + 34 = -5*j, -4*f + 5*j - 47 = 0. Let n be 841\/261 + -1 + (-14)\/f. Solve -3*g = -n*v + 2*g + 4, -3*g = -4*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-36)\/(-27)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120169 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.512191ns to microseconds.\nAnswer: 0.001512191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-612)*(-6)\/(-40). Let t(m) be the second derivative of 0 + 4\/15*m**3 + 4\/5*m**2 + 7*m + o*m**4. Determine j so that t(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d*g**2*w**3 + 70*d*g*w**4 - 3*d*w**2 + 6*g**2*w**2 - w**4 + 20*w**2 wrt w?\nAnswer: -66*d*g**2 + 1680*d*g*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 88 + 37)*(67 + 2*q**4 - 67 + 3*q).\nAnswer: -42*q**4 - 63*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (sqrt(1152)*-3 + -3 - sqrt(1152)*-3*-2)) + -4.\nAnswer: -864*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x + 0*x + 33*x.\nAnswer: 87*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1675\/(-20) - (-1)\/(-4). Suppose c + 9 = -c - w, -c + w = 0. Calculate the remainder when 34 is divided by c\/9 - m\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -117*p**2 + 1073*p + 2133. Determine s(-2).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -631200, -631188, -631174, -631158?\n\"Answer: u**2 + 9*u - 631210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 37 = h, -5*h - 5*j = -205. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 3. Let y(s) = -s**3 - 3*s**2 - 2*s - 2. Let w be y(-2). Let q be u(w). Let a = 1 + q. Solve 0 = -0*j - j + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-18)*4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 28*l**2 - 47. Give s(-28).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -63 (c) 8 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539) + (0 + sqrt(1539))*3 - (sqrt(1539) + sqrt(1539)*-1*-3))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2237*f*s - 64*f*z - 3*s*z + 2072*s + z + 6 wrt f?\nAnswer: -2237*s - 64*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, b: 3, u: 4, z: 2}. Give prob of picking 1 f and 1 u.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 10*d + 12. Determine y(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d32 - 37ec8?\nAnswer: -37196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 3}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -29\/6*w**3 + 19*w - 2 + 0*w**5 + 1\/15*w**6 + 0*w**4 + 1\/2*w**2. What is the first derivative of s(z) wrt z?\nAnswer: 8*z**3 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29421718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 506 - 4?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/7 + 26*n**2\/7 - 24*n\/7 = 0. What is n?\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -121, 4, -2184 in decreasing order.\nAnswer: 4, -1, -121, -2184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 200850, 199522, 197308, 194208, 190222, 185350?\n\"Answer: -443*b**2 + b + 201292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovovv. Give prob of sequence voo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 2*d + 46 - 166, 2877*l = 2857*l + 3*d + 1200 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 - 254531*q**3 - 7636774*q**2 - 14255416*q = 0. What is q?\nAnswer: -28, -2, 0, 254561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/133718 and 11\/12649.\nAnswer: 936026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m + 26. Let r be c(-3). Factor 0*h**5 + 12*h**4 + 2*h**5 + 14*h**4 + 12*h**r + 90*h**2 + 112*h**3 + 58*h**2.\nAnswer: 2*h**2*(h + 4)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17c217 (base 14) to base 6\nAnswer: -30001125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-5)\/(-20)*(855\/(-3724))\/(-45)\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10919 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 2*n**2 - 2*n**2. Let z(j) be the third derivative of -2*j**4\/3 - 900*j**2. Calculate z(g(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254696198772*d + 3*d**2 - 254696198772*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1853, 14, 8 in decreasing order.\nAnswer: 14, 8, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:08 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 + 2*u**2 - 336 - 8*u + u - 4*u + 9.\nAnswer: 2*u**2 - 11*u - 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + 325. Let h = 379.7 - i. Put -1\/7, -0.03, h in descending order.\nAnswer: -0.03, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q*v**3 + 5*q*v + 762709*q + 1188*v**2 - 23*v - 55 with respect to v.\nAnswer: -9*q*v**2 + 5*q + 2376*v - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -69c39e (base 15) to base 2\nAnswer: -10011010001101100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/10807 + -507878\/551157. What is the common denominator of g and 73\/207?\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1003 - -9?\nAnswer: -aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -0.28450376527.\nAnswer: -0.28450376527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3820 divided by 332\nAnswer: -955\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 - 3456*g**4 - 2*g**3 - 20912*g wrt g.\nAnswer: 40*g**3 - 41472*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584*m + 1213*m + 368*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 697*f - 2. Let w(x) = -23*x**2. What is c(w(q))?\nAnswer: -16031*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 p when three letters picked without replacement from {m: 7, d: 6, k: 1, p: 1}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 15*n - 6*n + 25*n to the form x*n + h and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302126 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-852 - 1428 - 543 - 140)*(3*q**2 + 0*q**2 + q**2) to the form g*q + u*q**2 + l and give u.\nAnswer: -11852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/3 (c) 7\/2 (d) -0.04 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 3. Suppose 5*m + 34 = -1. Let d be k(m). Suppose 0 = -4*g - 44, 238*j + 6*g + 67 = 237*j. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*h*l*w + 2*g**2*h*w + 2*g**2*l**2 - 2*g*h*l*w + g*l*w + 3*h*l**2 - 4*l**2*w wrt l.\nAnswer: 4*g**2 + 6*h - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 3*m - 2. Let u(q) = -q**3 - q**2 + q. Let r(d) = -g(d) + 2*u(d). Calculate r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 2:41 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307662323?\nAnswer: 7, 37, 12770897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2298 and 5936500.\nAnswer: 17809500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007568031 rounded to seven decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -48 + (2 - (10 - 3) - -6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/8)\/24 - 44\/(-16). Solve 20 = -7*o + u*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4990\/18 - (-20)\/(-90)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1534*u**4*y - 26*u*y + 10995*y wrt u?\nAnswer: -6136*u**3*y - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-6))\/(12\/(-2622)). Let m = x - -211\/4. Find the common denominator of m and 1\/5 + (-1216)\/180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*h - 35*h - 33*h - 30*h - 35*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 428 + -420. Let x(f) = a*f - 4 - 8*f + 5*f + 9. What is x(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*o**4 + 21*o + 6*o + 3*o + 52*o**4 wrt o.\nAnswer: 408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/10)\/((-8)\/20). Suppose -2 - 4 = -g*t. Solve -3*d + 3*m = -4*d - 14, 0 = -5*d + t*m - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:13 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27648.177 seconds to minutes.\nAnswer: 460.80295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-10) - (1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*q - 35, -2*x = -0*x - 3*q + 10. Let l(a) = -2*a - 6. Let t be l(x). What is the highest common factor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(4*g - 4*g - 6*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933 - 375 = 31*p - 140*p. What is the nearest to -0.1 in -1, -0.2, 9, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 157 = 6*h. Which is greater: h or 1\/208?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07945 and -368484?\nAnswer: 368483.92055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3391424 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30167 - -30162. Which is the third biggest value? (a) 129 (b) s (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(((-25)\/(-5))\/(-20)). Calculate the greatest common divisor of 64 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 6*s**2 + 38 + 376 - 447 to v + f*s + q*s**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 9527.\nAnswer: 9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/10)\/((-2)\/(-10)). Suppose -4*v + q = -0*v. Solve -3*x = -0 - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (1939\/388 - 2). Let r = b - -2335\/2716. What is the common denominator of r and -61\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02781 - -0.0312. What is w rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 14. Let f(q) = -2*q**3 - 9*q**2 - 5*q + 2. What is the units digit of f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 0, 7 in increasing order.\nAnswer: -7\/3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 10152402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11230048*o**2 + 11229911*o**2 - 22459944*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -52 (c) -143\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -71, -221, -513, -995?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 27*m**2 - 5*m + 131. Calculate y(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -568 (base 14) to base 3\nAnswer: -1110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42971 + -34.\nAnswer: 42937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgbgbobogbgbbbb. Give prob of sequence gobo.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13adb2 (base 14) to base 9\nAnswer: -1251168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/13, -1.2, 49.4, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6685*n - 6685*n + 427*n**2)*(8 - 6*n + 7 + 5*n).\nAnswer: -427*n**3 + 6405*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3 - 3 - a. Let p = -6 + 13. Let q(l) = 6*l**2 - 13*l**2 + p*l**2 + 4*l**2. What is i(q(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a - 3*a**2 - 6*a**2 - 36*a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 133648900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186577834 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1145376738?\nAnswer: -1145376738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 63792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1147038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 784789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.6 minus -5?\nAnswer: -171.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0.2, 1, 505?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 28*n**2 + 6. Give k(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84113.37 decades in centuries?\nAnswer: 8411.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200001 (base 3) to base 5.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2474631898 + -0.24746. Round y to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 10*k + 2.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 5, -356, 1 in ascending order.\nAnswer: -356, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f438d - -2?\nAnswer: -5f438b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a62 (base 11) to base 6.\nAnswer: 50322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.9567 microseconds to seconds.\nAnswer: 0.0009319567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 34. Let z = n + 88. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 + 9*k - 8. Let l(y) = -y**3 - 19*y**2 + 38*y - 6. Let n be l(-21). Let q be n\/(-8) - 4\/16. What is o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -8 + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 88*f**2 + 100*f + 31. List the prime factors of l(-27).\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/r**8 assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -25. Let y(a) be the first derivative of 0*a - 1\/5*a**5 + 0*a**w + 0*a**3 - 1 + 1\/2*a**2. What is the second derivative of y(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**5\/20 - h**4\/4 + h**3 - h**2\/2 + 3*h. Let g be -1*(-2)\/(-4)*10. List the prime factors of m(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1554, 3111, 4674, 6243, 7818, 9399?\nAnswer: 10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 7\/5*z**5 + 0*z**2 - 1\/3*z**3 - 7 + 0*z**4 - 4*z. Differentiate h(q) with respect to q.\nAnswer: 28*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18135 + -18133. Solve 24*p = -6*p + o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + p**4 + 0)*(-2*p - 14*p - 12*p) + 5*p**5 + 27*p**5 + 5*p**5 + (-2*p**5 - 2*p**2 + 2*p**2)*(-1 + 1 + 1).\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - 8.1. Let b = 13.1 - 1.1. Let x = b + k. Sort x, -3\/2, -0.3 in decreasing order.\nAnswer: x, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1242, 5197, 11894, 21327, 33490, 48377, 65982?\n\"Answer: -x**3 + 1377*x**2 - 169*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106000 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14374 + 91716 = 2*y + 5*x, 212228 = 4*y + 2*x. What is y rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(125) + -1) + -3*(-1 + sqrt(125)*4) + -5.\nAnswer: -70*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 3)*(-4 - -3). Let l be (8*n + 2)*850. What is l rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - b. Let t(f) = 2*f - 2. Let w be t(4). Let z = 7 - w. Determine x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4653*n + 12. Let x(a) = -804972*a + 2072. Determine -518*k(j) + 3*x(j).\nAnswer: -4662*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 30*f - 1 - 9*f - 12*f + 58923*f**3.\nAnswer: 58923*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18\/72*-1*128\/(-960)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2243\/9 - -249. Which is greater: -10\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 103, 114?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scscsklhlc. Give prob of picking 2 s, 1 h, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = 2*l, 2*i - 3*l - 5 = 6. Suppose 0 = 10*f - i - 10. Let u be ((-935)\/f)\/(-5) + (-3)\/6. Round u to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -22\/3*u**3 - 27\/2*u**2 + 0*u + 25. What is the second derivative of w(i) wrt i?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 18*v = 297426. List the prime factors of v.\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 14. What is the remainder when 23 is divided by (5 - -3) + 2*j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*o + 12000, -4*w + 23990 = 10*o - 9*o. Suppose w = 15*g + 777. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 701 - 684. Suppose -2*z = -2*b - 10, -3*z + 4*b = -5*z + 4. What is the first derivative of z*l - 20 - 30*l - v*l + l wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -24*3*(-11)\/(66\/(-4)). Let b = 79 + a. Calculate the lowest common multiple of 1 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p + 22. Let k(q) = -q + 1. What is 4*k(r) - v(r)?\nAnswer: 2*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 68*g**2 - 69*g + 77. Calculate c(35).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 21 = -4*o, 171*u - 75 = 177*u - 5*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -910, -1985, -3416, -5203, -7346, -9845, -12700?\n\"Answer: -178*g**2 - 541*g - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(704) + 1 + sqrt(704) + -5)**2 + 0 + 0)*2*1.\nAnswer: -256*sqrt(11) + 5658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71770, -287068, -645890, -1148236, -1794106, -2583500, -3516418?\n\"Answer: -71762*a**2 - 12*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.19 - 93?\nAnswer: -44.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76830 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2*c**3\/3 + 1196*c**2 + 715208*c + 7394. Find l, given that j(l) = 0.\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-4*-3)**2 + -2.\nAnswer: 27646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-6) + -6)*-350. What is o rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279129335*i**2 + 89828195*i.\nAnswer: 558258670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/13, -1, -30470 in ascending order.\nAnswer: -30470, -1, 2\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (584\/1460)\/(2\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h**4 + 621640*h - 36096849 wrt h.\nAnswer: -32*h**3 + 621640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/3*9\/18. Solve 4*c + 16 = l*i, 5*i + 2*c - 2 = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323310022 (base 4) to base 7.\nAnswer: -4211363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -27, -33, -33?\n\"Answer: 3*v**2 - 21*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1048 and -61\/656.\nAnswer: 85936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 41. Let p = l - 44. Calculate the remainder when 34 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a + 0*a**2 - 35*a - 3*a**2 + 9 = 0. Calculate a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 18594120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(6\/(-15)) + 62\/12. Which is the third biggest value? (a) -4 (b) -0.3 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -945, -1402, -1881, -2382, -2905?\n\"Answer: -11*a**2 - 424*a - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -171990, -343981, -515972?\n\"Answer: -171991*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -8, -57, -158, -329, -588?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, k: 1, d: 4}. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2) - (-1 - -2). Let j(h) = 2*h**2 + 2*h - 1. Let q be j(-2). Let s(u) = -2*u**3 + q*u**3 + 0*u**t - 3*u + u**2 - 2. Give s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -755250*h**3 + 42461*h**2 - 60.\nAnswer: -4531500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 44, -652 in increasing order.\nAnswer: -652, -2, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-105)\/(-6))*-20. Let a = v + 20. Let t = a + -23. Solve t*q - 3*j = 9, 4*q + 3*j - 9 = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3364 + 5779. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.149 - -237003.\nAnswer: 237004.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11947 is divided by 738?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2167 - -2170. Solve -5*o + 16 = z, b*o = 4*z + 28 - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.18831 or -2\/21?\nAnswer: 7.18831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.8 - -95.8. Which is the nearest to 1\/4? (a) -1 (b) -2\/25 (c) 0.01 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 5*t + 6*t - 3)*(2*t**2 - t**3 - 2*t**2) to the form m*t**2 + r*t + k*t**4 + d + w*t**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-32)*2)\/(6\/(-96)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/13 + 296*f**3 - 7678*f**2\/13 - 19232*f\/13 + 23064\/13 = 0.\nAnswer: -2, 1, 3, 1922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0.29, 8, 3483.\nAnswer: -5, 0.29, 4, 8, 3483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(700)*1 + 3 + sqrt(700)) + -3)**2.\nAnswer: 1440*sqrt(7) + 44881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 13) in base 12?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 993 and 20522?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from mmmbbmbmbb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5))**(-2\/49) assuming a is positive.\nAnswer: a**(-2\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/15 and 46\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 56. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -7, 498\/29, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1482 and -139\/30.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + (0 + 5 + (sqrt(304)*1)**2 + sqrt(304) + 3)*-6)*3.\nAnswer: -5612 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10*(-23)\/(-460)*(39\/(-60))\/13).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**4 - 19*u - 7. Let l(p) = 9*p**4 - 10*p - 4. Let r(x) = -4*a(x) + 7*l(x). Find the second derivative of r(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72203007*f*j**3 - 4057*f*j**2 - 147*f*j - 4*f wrt j.\nAnswer: -433218042*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180074 or -180073?\nAnswer: -180074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3928\/204 - 19)*(-1)\/(-1). Is -2\/7 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25832657*f**2 - 26589236*f wrt f?\nAnswer: 51665314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 22\/3*294\/28. Let n = 80 - z. Solve 3*u - n*a - 7 = 0, -u + 0*u - 2*a - 11 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3137 (c) 23145 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 819 divide 18802476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586401 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -495 - -15?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233856.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + 1.87. Is 3 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 21367.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/9 and -6459778 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:28 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**2 - 30*h - 6. Let n(a) = -6*a**2 - 15*a - 3. Let x(c) = -4*l(c) + 7*n(c). Is 37 a factor of x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.3082ng to milligrams.\nAnswer: 0.0000153082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**6\/21 - 164*y**5\/5 + 20733*y**4\/7 - 79508*y**3\/21 - 81796*y**2\/7 - 5904. What is p in b(p) = 0?\nAnswer: -1, 0, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) 5\/3 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 42*w**2 + 45*w.\nAnswer: -3*w*(w - 15)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1401178 and 700589.\nAnswer: 1401178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 71. Let n = 77.9 + z. What is the closest to -1 in -3, 4\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010011101000 (base 2) in base 14?\nAnswer: 29ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2072 + 5816. Is 48 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14978686 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -8\/11 + 32\/11*h - 14\/11*h**2 = 0?\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2 (c) 1 (d) 0.143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (12 - 1 - (-98 - -111))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**3 + 7*h**3)*(-11*h**2 + h + 3 - 56*h**2 - 54*h**2).\nAnswer: -484*h**5 + 4*h**4 + 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 = -16*c. Let t be c*40\/15*-1. Put t, -5, 5 in increasing order.\nAnswer: -5, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 14*u - 117 = 3*x, 0 = -4*x + 4. Solve 104 - 93 - 108*y**2 + 186*y - 79 + u*y**3 - 34*y**2 = 0 for y.\nAnswer: 2\/3, 1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.4454ms in microseconds?\nAnswer: 424445.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9595069 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -33*u - 2. Let w(d) = -65*d - 4. Give 5*c(j) - 3*w(j).\nAnswer: 30*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7697 times 0.37?\nAnswer: -0.284789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 4*m = -14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + 221. Let i = a + -310.99999738. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -14.2. Let p = 3342 + -3347. Which is the nearest to n? (a) -0.2 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 + -12) - (1 + (-6 - -12 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**2 + 0*s + 0*s + 37*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365*c**5 - 12*c - 3 - 57*c - 611*c**5 + 248*c**5 wrt c?\nAnswer: -14560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 1 + -68 + 63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(16 - (7 + -1) - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**2. Let x(c) = c**3 - 3*c**2 - 2*c - 1. Let n be x(4). Let b = n + 1. Let y(l) = -b*l + 3*l + l + 3*l. What is t(y(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 5 + 3*r + 4*r. Let c be u(4). Let m = c - 19. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/64800 and -179\/1944000?\nAnswer: 1944000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:07 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18*r + 4 - 1 + 11*r - 2. Let y be d(-7). What is the highest common factor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i. Let y be q(-1). Which is smaller: y or 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9015, 18031, 27047, 36063?\n\"Answer: 9016*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-185)\/(-30) + (-4)\/6 and ((-285)\/18)\/5*(-27)\/30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/144 and (1\/18)\/(26\/(-2470))*(-14)\/(-80)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 385.0245 litres?\nAnswer: 385024.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.7 - -7. Let u = 36 + -18. Let y = 13 - u. Which is the nearest to 0.1? (a) y (b) -2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -318, 4, 6, 2, -5 in decreasing order.\nAnswer: 25, 6, 4, 2, -5, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5036 + 9116. Calculate the highest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:00 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 6. Let a be g(-10). Suppose 27*k = 23*k + a. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h - 37. What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5 + 3*n + 3*n**3 - 10*n - 4*n**2 - 2*n**3 - n**2. Suppose -2*u - c = -13, -7*c = -4*c - 3. What is d(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -17. Let -12*r**3 - 4*r**3 + 4 - w*r + 24*r**2 + 4*r + 4*r**4 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.65 + 4.7. What is f rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (3 + 4)) + 7. Suppose -42 = -j*s - 18. Sort -1, s, -5.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*j = 5, -3*j - 40 = 3*w + 2*j. Which is the closest to w? (a) 2\/21 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2311 + -2310.8. Suppose -3*s = 80 + 145. Let w be ((-6)\/s)\/((-4)\/(-5)). Which is the biggest value? (a) w (b) -4 (c) t (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let m(f) = f**2 - 15*f + 38. Let w be m(12). Suppose -7*q + 2*q = 3*o - 5, 2*q - w = 0. Let j(x) = 5*x + 3*x + o*x - 14*x. Determine h(j(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 <= -1\/6095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3566069041581 - 305*b**3 + 3566069041581.\nAnswer: -305*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-8 + 6)\/(1\/(-4)). Solve 4*j = v*s - 36, -s + 3 = j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 + 4*p**2. Let d be (1 - 1) + 1 + 2. Let m(q) = -4*q**3 + 4*q**2. Let s(t) = d*k(t) - 4*m(t). What is the third derivative of s(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:44 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 120, 237, 354, 471, 588, 705?\n\"Answer: 117*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 + 12\/17*s**2 - 31\/51*s**3 + 9\/34*s**4 - 9\/170*s**5 + 1\/255*s**6 - 82*s. Solve x(u) = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 25*v - 17*v. Calculate the remainder when (-9)\/v - (-594)\/4 is divided by 46.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56 - 31 - 97 - 25)*(1 + 1 - 3)*(-2 + 2 + 2*x) as d + l*x and give l.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01178541 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/4 + 14*s**3\/3 - 5*s**2\/2 + 1314*s. Calculate i(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.563894 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7868\/((-161)\/(-23)) - 2 and 170?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -0.22. Let o = -0.948 - -4.958. Let f = o - 0.01. What is the closest to 0 in r, f, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 5 + 7*g - g**2 + 4*g - 3*g. What are the prime factors of a(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215762 is divided by 1341?\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msssmmmsmmssssmsmmmm. What is prob of picking 2 s and 1 m?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908883656.\nAnswer: 2, 293, 387749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2490, -26, 143 in descending order.\nAnswer: 143, 0, -26, -2490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 5 - 6 - 111. Is 29 a factor of ((-3)\/6)\/((3\/g)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 171449*h. Let v(i) = 6*i**2. Determine r(v(t)).\nAnswer: 1028694*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y**2 - y - 3. Let u(c) = 45*c + 45*c - 89*c + 2 + 7*c**2. Give 2*q(t) + 3*u(t).\nAnswer: 5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -26*n + 29. What is the hundreds digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*n - 5. Let m(b) = 244 - 715*b**3 + 714*b**3 - 237 + 7*b - 7*b**2. What is m(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (1*sqrt(99) + -4 + sqrt(99)) - (sqrt(99) + 3 + -5))**2.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-39)\/((p**(2\/87)\/p)\/p))**(2\/31) assuming p is positive.\nAnswer: p**(-6442\/2697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7835 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 89586516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205050 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/49 (b) -5 (c) -10 (d) 2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*r - 13*r - 13888. Suppose 92*u + r = 100*u. Is u at least 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 23, 4 in ascending order.\nAnswer: -7, -3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rorprpdoyp. Give prob of picking 2 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.012 from -555.44.\nAnswer: -555.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/((c\/(c\/c**(-4\/23)))\/c))\/(c\/((c**(5\/6)\/c)\/c*c*c)))\/(c\/c**(-3))**(1\/12))**(1\/26) assuming c is positive.\nAnswer: c**(123\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25*3\/(15\/2). Let a = 7386 - 7380. Solve -m*h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15710 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-4 + 5 - 2)*(-2*y + 2*y + y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*k - 7*o + 57, 2*k + 2*o = -26. What is the units digit of 4\/(-10)*29080\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 3 + 555*y + 27 - 15 to k*y + u and give k.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 1\/4*h**4 + 3*h + 1\/2*h**2 + 4\/3*h**3 + 37. Give t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -213212 (base 4) in base 7?\nAnswer: -10250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 16 + 7*m)*(-267*m + 267*m - 13*m**2).\nAnswer: -91*m**3 - 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -110. Let a be m\/42*4\/5. Let d = -0.2 - -0.3. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((365\/10950)\/((-1)\/25))\/((-1)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*s - 64, -92574*x + 92578*x - 64 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 1\/5*p**4 + 703\/5*p**2 + 151\/15*p**3 - 57 - 361\/5*p. Let y(k) = 0. What is k?\nAnswer: -19, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*b + 21*b + 3 + 0 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7238 and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-3*1 + -1 + sqrt(847) + 3)**2 + (6*(2 + sqrt(847)))**2 + -3*sqrt(847)*4.\nAnswer: 1364*sqrt(7) + 34028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 + -591. Let f = 265.999766 + v. Round f to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 58425, 116852, 175279, 233706?\n\"Answer: 58427*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 212*f + 71. Let k(m) = -4092*m. Give a(k(o)).\nAnswer: -867504*o + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 258. Suppose 5*n - 144 - r = 0. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-144)*-1)\/((-1)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5998 and -0.3.\nAnswer: -1799.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (sqrt(1584) + 3 + -5)**2 + 4).\nAnswer: -192*sqrt(11) + 6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 53*3\/51. What is the nearest to 1\/3 in z, -2\/3, -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/1271 < -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -4, -3\/41 in descending order.\nAnswer: 4, -3\/41, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000110101 (base 2) in base 11?\nAnswer: -3983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j, -5*s = -5*j + 7 + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96857, 193904, 290951, 387998, 485045?\n\"Answer: 97047*t - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -20 + 0*h**3 + 4*h**3 + 14*h + 0*h**3 - 6*h**2 + 4*h**3. Let p = 739 - 753. Let r(z) = -3*z**3 + 2*z**2 - 5*z + 7. What is p*r(n) - 5*x(n)?\nAnswer: 2*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521323626?\nAnswer: 2, 760661813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/14 + (-8775)\/35. Find the common denominator of (-4 - w\/14)*15\/50 and -69\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k\/(k*k**(-2))))\/((k\/k**(2\/5))\/(k\/(k*k**(7\/2))*k)) assuming k is positive.\nAnswer: k**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - 48. Is -2594*237\/(-36) - (-10)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/1 + 5 + -1 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 9*p + 10. Give r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 13*v + 21*v - 5*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 6*r + 1. Let c be -2 - 5\/(15\/9). Let t be h(c). Let o be ((-186)\/12)\/(1\/(-2)). Solve -3*m + o - t = 4*v, 5*v - 4*m - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by 110?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2\/5 + 31108374*k + 403221222051615 = 0.\nAnswer: -25923645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*(-4)\/((-12)\/17). Suppose 4*u - r = -3*r + 124, -r = -4*u + a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 423 - 1709\/4. Find the common denominator of z and (13\/(130\/(-36)))\/((-136)\/(-40) - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4360469?\nAnswer: 29, 53, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + w**2 - 1. Let d = -27 + 24. Let l(t) = -t**3 - 4*t**2 - 5*t - 7. Let b be l(d). What is f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1909 - 664. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576711 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3208*x + 1602*x + 1593*x. Let j(w) = w**2 - 8. Give s(j(t)).\nAnswer: -13*t**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*q = 1 - 6, -3*q - 3 = -4*w. Suppose 9*p - 280 - 125 = w. Let b(t) = -p + 27 + 18 - 5*t. Let m(y) = y. What is m(b(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 12 = -2*s. Suppose 8 = -s*f + 11*f. Let x be -4 + 4 - 2 - f. Calculate the highest common factor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 = -4*o, 0 = o - 0*q - 4*q + 21. Let v be (-7)\/28 + o\/((-2)\/1). Which is the nearest to v? (a) 2\/5 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 28, 0, 24, 3.\nAnswer: 0, 3, 24, 28, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4768 and -3271.\nAnswer: -15596128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11013*g - 11375*g - 2896 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2000.\nAnswer: 1\/500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:39 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o + 3*r - 12, -4*r + 5 = -o. Let n(p) = p. Let b(t) = -t - 2. Calculate o*n(v) + b(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(-5*sqrt(396)) - (sqrt(100)\/sqrt(5)*-3 + 1*sqrt(500))) + -2)**2 + -1.\nAnswer: 244*sqrt(5)\/15 + 3856\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -89 divided by 1320723\nAnswer: -89\/1320723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 10:45 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -5, 4 in descending order.\nAnswer: 88, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/40 - 7*h**5\/60 - h**4\/8 - 5*h**3\/6 - 110*h**2 - 2*h. Let g(a) = 5*a**3 - 11*a**2 - 4*a - 8. Give 5*g(c) - 8*y(c).\nAnswer: c**3 + c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -165 + 61. Suppose 4*v - 27 = 3*v. Calculate the remainder when v is divided by (-88)\/(-9) - t*(-5)\/90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 0.08 in decreasing order.\nAnswer: 0.1, 0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**25*i*i*i**(-11)*i*(i*(i*i*i\/(i*i\/(i*i*i**(4\/3))*i*i))\/i)\/(i\/i**(9\/4)))**(-2\/19) assuming i is positive.\nAnswer: i**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*r + 4*j + 12 = -360*r, 0 = r + 2*j + 2 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*m*w**2 + 2*m*w + 940*m - 2*w**2 - 2 with respect to w.\nAnswer: -628*m*w + 2*m - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 51\/12. Suppose -18 = 5*v - 4*f - 2, -j*f + 12 = -4*v. Let t = v - -9. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + 3*v - 14. Let x be d(6). What is the third derivative of 406*b**2 + 4*b**x + b**4 - 398*b**2 wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5302655 (base 7) to base 13\nAnswer: 195218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2875 divided by -575?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:15 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 + 71. Let m = 47 + n. Solve -2*q + 0*q - 2 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*o = h - 4, -2*h + 8 = 5*o. Suppose 0 = -h*i - 20, -3*i = -6*m + 2*m + 43. Suppose m*k = 11 + 3. Is k at most as big as 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/91756 and -7\/235944?\nAnswer: 1651608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*r - 407 - 163 = 0, -3*h = 4*r - 342. Solve 26 = 11*k + h for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 9.5121, 1 in ascending order.\nAnswer: 2\/3, 1, 9.5121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37009.2 + 37009. Let m = 4\/3 - 5\/3. Which is the closest to m? (a) 2\/7 (b) -0.8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i + 1 - 4*i - 2*i**3 - 2*i**2 - 14*i + 0*i**2 + 8*i**4 to s*i**2 + z + k*i**4 + l*i + y*i**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17158.97736 seconds?\nAnswer: 0.028371325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-1)\/15). Let y be w\/(-20) + 26\/8. Suppose -5*u - 5*i + 15 = -y*i, 0 = -i - 5. Solve 4*m - u*c = 0, -2*m = -4*c + c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (6\/2 + -7). Suppose 0 = 2*q + 3*q - 2*o - 194, -4*q + 2*o + 154 = n. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(28\/8)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1256 divided by 157\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a - -20?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388\/11*n**2 - 8\/11*n**4 + 0 + 96\/11*n + 14\/11*n**3 = 0. What is n?\nAnswer: -6, -1\/4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71949 + 0.005?\nAnswer: -71948.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - ((sqrt(114) - sqrt(114)*1) + sqrt(114)))*2)\/(sqrt(864) - sqrt(864)*2) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48176871 divided by -39.\nAnswer: -16058957\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231778 * 0.3.\nAnswer: 69533.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 6296 + 6167. Suppose 20*l - c = -473. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(5445) + (sqrt(55)\/(sqrt(11)*2) - (sqrt(5) + 1 + sqrt(5) + sqrt(5) + 4))**2.\nAnswer: 225\/4 + 91*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24908 - 498527\/20. Let r = 316\/37 + 3337\/740. Let s = l + r. Calculate the common denominator of s and -16\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/285805 and -19\/26382?\nAnswer: 1714830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*-9*8\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -714 - -714. Which is the second biggest value? (a) -4 (b) j (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.0668 to 0 decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-17))\/(((-25)\/10)\/((-520)\/(-208)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-8) + -5 + 1. What is the nearest to -2 in -4, o, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7461*-0.7.\nAnswer: -5222.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3362 = 29*o - 7803. What is the greatest common divisor of o and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56358700 and 67630440.\nAnswer: 338152200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + -22. Let m = -33 - u. Does 31 divide (-2)\/9 + 1686\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 47 = w, 4*w + 5*k - 25 = 111. Suppose 0 = 5*r - w + 9. Let x = r + -1. What is the greatest common divisor of x and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36754000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/((10\/1)\/(696\/174)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4318\/(-254) + (-381)\/(-20) and -11\/692.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4\/9 (c) 499681\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3*p**2 + b**3*p - 11*b**3 + 2*b**2 - 865498*b*p**2 - 43203*b wrt p?\nAnswer: 6*b**3*p + b**3 - 1730996*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = -12*x + 8*x, -4*x - 5*y = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 65 = 30. What is the remainder when 27 is divided by 18\/42 - u\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 953.8207mg?\nAnswer: 0.0000009538207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 21 = -4*i, -m + 25 = 4*i - 2*m. Suppose -2*y = 5*k - y - 261, -1 = -y. Let d = k + -37. Calculate the greatest common divisor of d and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607334394.\nAnswer: 2, 17, 47274541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -36*b + 256. Give g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5030498 to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 5. Let u be w\/36 - 44\/36. Is (-1 - u) + 1*13 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvlvvvvvvvlvlvvlvv. Give prob of sequence vv.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254\/6 + 11\/(-33).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (35724\/(-10))\/(60\/(-150))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*9096.\nAnswer: 18192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 0*t. Let g = t + 5. Suppose 5*y - g*a = -1, y + 0*a - 7 = -2*a. What is the lowest common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104754\/89 + -1177. Let s = 185\/623 - p. Let m = -346 - -1729\/5. What is the closest to s in 0.3, m, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 minus 2091?\nAnswer: -2097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 + a + 3. Calculate the remainder when 16 is divided by v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*l**4 + 31*l**3 + 633*l**2 + 175595717 with respect to l.\nAnswer: -296*l**3 + 93*l**2 + 1266*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 3*d**2 + d. Determine f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 133 and 0.122804?\nAnswer: 16.332932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - 1\/((-11167)\/1861 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 3*j**2 + 7*j - 1. Let w = 26 - 19. Let z(u) = -u**3 + 8*u**2 - 8*u. Let l be z(w). Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-54 - -5 - -24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5037 (base 12) to base 9.\nAnswer: 400717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.2 + 5.4. Let o(x) = 6*x - 3. Let w be o(5). Suppose 3*h + 0*h = -w. Are c and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*t + 549 - 37, 125 = m - 2*t. Suppose -m = -5*c - 39. Solve 0 = -6*g + 2*g + 2*n - c, 0 = -5*n + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -55*r**2 + 26*r + 18. Let c(w) = 36*w**2 - 17*w - 12. Let i(x) = 8*c(x) + 5*u(x). Let p(f) = -196*f**2 + 91*f + 91. What is 91*i(j) + 6*p(j)?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 23. Let v(c) be the third derivative of 1\/15*c**n + 0*c + 0 + 2*c**2 + 1\/30*c**4 + 1\/150*c**5. Factor v(o).\nAnswer: 2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from qvvvvmmmqvqvqvm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-4)\/70*5. Suppose 0 = 4*f + 5*z + 11, z = -f - c*f. Sort 5, f, -8.\nAnswer: -8, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1461 + -1461.07. Sort 3\/7, -0.6, c.\nAnswer: -0.6, c, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - 3) - (-7 + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.1 times 539?\nAnswer: -10833.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*d = 15, -a + 3 = -d + 6. Let l be 1\/(-2*a\/(-2)). Let v be ((-4)\/(-1) - 0) + -1. Put -4, v, l in ascending order.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-77) + (-22)\/112. Put 3\/5, 2, a in ascending order.\nAnswer: a, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 72 = 11*t. Let l be (-6)\/(-9) - (-112)\/t. Solve -c = -w + 2, -4*c + l = 2*w - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*p**5 + p**5 - 3*p**5 + (-2*p**4 + 1 - 1)*(0 + p + 0) - 7*p**5 + 3*p**5 - p**5.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v - 5. Let n = -9 + 5. Let f = n - -4. Determine s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -32.022. Let s = r - -0.014. Let q = s - 4.992. What is the closest to -1\/5 in 5, q, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5112773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/69097467 and 77\/1641270.\nAnswer: 690974670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -279752\/5 + 56698*y**2 - 3738\/5*y**4 + 697884\/5*y - 697879\/5*y**3 - y**5 = 0.\nAnswer: -374, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 3*c**5\/20 + 98*c**3\/3 + 1537*c**2\/2 + 303*c - 1. Find the first derivative of o(m) wrt m.\nAnswer: 9*m**2 + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhghretgrghr. Give prob of picking 2 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-10 - -15) + 10 + 6 + -8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4963490 to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-9)\/(-15))\/(-9 - 345\/(-25)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7573614?\nAnswer: 2, 3, 1262269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 19. Let o be m(-17). Solve -2*t + 2 = -3*p, 2*p - 28 = -o*p - 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/111 (b) -52\/3 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304044?\nAnswer: 2, 3, 13, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 196*r**2. Let a(f) = 524*f**2. Give m(a(j)).\nAnswer: 53816896*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.34612 - 0.0595839286.\nAnswer: -1.4057039286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6547, 26251, 59093, 105073, 164191?\n\"Answer: 6569*p**2 - 3*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t**3 + 54*t**2 + 51*t + 9 = 0 for t.\nAnswer: -1\/2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24 = -0*a + 4*w, 0 = a - 5*w + 8. Let p(u) = 5*u + 1. Calculate p(a).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 = 3*b - 3*i, i + 7 = 4*b. Solve b*q + 3 = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*37 + -18 + 16. Suppose -21 = 17*l - a. Find u such that -1\/4*u + 1\/4*u**l - 1\/4*u**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -111, -112, -113, -114, -115?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*3*5\/(-45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p**3\/p*p)\/p*p)\/p))**(-2\/3) assuming p is positive.\nAnswer: p**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 55 = 2*a + 5*u, 35 = -a + 5*u. Let p be a\/35 - (-61)\/(-7). What is the units digit of (-12)\/p - (-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6385? (a) 13 (b) -2\/11 (c) -149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -527, -415, -231, 19, 329, 693?\n\"Answer: -q**3 + 42*q**2 - 7*q - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 47, -0.5, 1, -9, 6976?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n. Let o be 3\/12*-4*1. Calculate g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4\/2 - 25*o**3 - 2860*o**2 + 42025*o + 301875\/2 = 0.\nAnswer: -35, -3, 23, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -14*b - 79. Calculate the least common multiple of 3\/(-2 - (-5 + 2)) and (-8)\/(-4 + 9 + b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.9105 - -42.670489. Let c = -2 - -2.24. Let r = c + z. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.078 times 705092\nAnswer: 54997.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 6*f + 7. Let h(t) = 2*t - 1. Give 6*h(r) + v(r).\nAnswer: 2*r**2 + 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9374 and 18.\nAnswer: 84366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 16. Let k(d) = d**3 - 2*d**2 - 7*d + 1. Let s(n) = -2*n**2 - 6*n + 1. Let v(o) = p*k(o) + 7*s(o). Determine v(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 + 16*f**3\/3 - 19*f**2\/2 + 44*f + 71. Calculate the remainder when c(13) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83.3*26.152.\nAnswer: -2178.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1748.3 - -92.3. Let h = -1655.9249 - m. What is h rounded to three decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:26 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 2*g - 4. Let v(n) be the second derivative of n**4\/12 - 3*n**3\/2 + 5*n**2\/2 + 6*n. Let m be v(8). Determine h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663726932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.11 times -0.05897?\nAnswer: -1.8345567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935747 is divided by 967847.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 + 571 = 7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47731, -47458, -47179, -46894, -46603?\n\"Answer: 3*p**2 + 264*p - 47998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101001 + -3?\nAnswer: 1100332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 2. Let g be 108\/198 + (-186)\/(-22) + (9 - 13). Let j(d) = -4*d**2 - 5. Determine g*k(w) + 2*j(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 2*d**3 - 4*d**2)*(13335 - 26673 + 13338 - 32468*d + 5468*d).\nAnswer: 54000*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 + 119. Suppose -66*v - f = -71*v. What is the highest common divisor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 2*n + 5*n. Let b(l) = 29*l**2 + 17*l + 17. Let i(g) = 10*g**2 + 6*g + 6. Let o(s) = 6*b(s) - 17*i(s). What is t(o(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 21 - (-1 - -2) - -1 - -4 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1771*0.2.\nAnswer: -0.03542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 11. Suppose 5*n + i = 25 - 69, 4*i = 4*n + 40. Let f be y(n). Factor 0*r + 0 - 2\/7*r**f.\nAnswer: -2*r**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -4.1. Let z = 3.3 + 0.7. Which is the third smallest value? (a) i (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1272639224 + -2?\nAnswer: -1272639226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 18, i: 1}. Give prob of sequence si.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 + 1 - (-5 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -315692 + -72?\nAnswer: -315724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let f(a) = -3*a - 9. Let b be f(-6). Suppose p = 5*x - 2*x - b. Sort 2, x, 0.\nAnswer: 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -38965*c - 194798. Calculate z(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 17*u**4\/3 + 1847*u. Let r(p) = -45*p. Determine r(y(j)).\nAnswer: -3060*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1719\/7 - 245. Suppose 3*s - 10 = 5*l, -l - 3*s = -0*s - 16. Sort u, l, -8\/3 in descending order.\nAnswer: l, u, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3.5, -692, -5\/3, 8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/6 + -263\/66. Which is the smallest value? (a) 2 (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 10. Let s(f) be the first derivative of -f**4\/12 + 7*f**2\/2 - 7*f + 14. Let k(r) be the second derivative of s(r). Calculate o(k(q)).\nAnswer: 2*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t - 14. Let r = 15 - 21. Let f be j(r). Suppose -q - 3*q = -f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 55*a**2 + 656*a + 1540. Give i(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from gggjjcggjj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0944311 micrograms in nanograms?\nAnswer: 94.4311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364 + -364. Which is the closest to 0.1? (a) -0.18 (b) l (c) -2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 6:03 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/320 and 23\/352.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and 18091402.\nAnswer: -1248306738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -425138.8237 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32 and -2722638.\nAnswer: -2722670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.061 + 16.061. Let g be (3\/(-18))\/((-2)\/(-8)). Sort g, k, 0.4, 0.08 in decreasing order.\nAnswer: 0.4, 0.08, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 2*d - 2*m + 90 = 6*d, 2*m = 5*d + 102 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - l = 24*c - 11319, c - 5*l = 3773. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/174180 and -71\/80227308.\nAnswer: 401136540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6952*v - 3 + 1.\nAnswer: -6952*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)\/sqrt(4) + -6*sqrt(57)\/sqrt(3).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 65994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - -17. Suppose 0 = 3*b - 12 - 3. Suppose -3*i + 88 = -b*v, -4*i - v = 2*v - 98. Calculate the remainder when y is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 2*l**2 + 1. Let u(p) = -6*p**3 - 11*p**2 + 7*p - 13. Let q(k) = -4*h(k) - u(k). What is the tens digit of q(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74426 and 22?\nAnswer: 74426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13900967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1058*d**2 + 1337. Let h(y) = 2*y**2 + 4. Let q(u) = h(u) - t(u). What is the first derivative of q(p) wrt p?\nAnswer: -2112*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -46, 1\/5 in decreasing order.\nAnswer: 0.3, 1\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1065184 and 1.880283.\nAnswer: 1065185.880283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4994939l?\nAnswer: 499.4939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110698 (base 11) to base 2\nAnswer: 101011000110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001312392 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1793 + 0.6793. Let o = 0.021 - -1.929. Let h = 2 - o. What is the second biggest value in k, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 392730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-21)\/(-6))*(-3404)\/(-222)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 726 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 86. Give c(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*d**2 + 37*d**2 - 50*d**2 - d**2 + 2 - 2 + (-2 + 2 + d)*(-3*d + 2*d - d) + (3*d - 2 + 2)*(-3*d + 7*d + 3*d).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 338985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*h + 26, -5*j = 5*h - 1415. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 48. Suppose 0*c + 2*c = n, -5*c = 4*v - 105. What is the remainder when 89 is divided by (9\/(-5))\/((-2)\/v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11819.\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*g**2*n**2 + 6*g**2*n - 114453*g**2 + 106*n wrt n?\nAnswer: 38*g**2*n + 6*g**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 16 = 0. Let m be (-3)\/(1\/(n\/(-6))). Suppose -4*f - m*t = 2*t - 140, -132 = -4*f + 4*t. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351498253.\nAnswer: 7, 19, 1451663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (-8)\/84*3912 + 0. Let f = l - -379. Factor -6\/7*z**2 + 6\/7*z**3 - 9\/7*z + 3\/7*z**5 + 9\/7*z**4 - f.\nAnswer: 3*(z - 1)*(z + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 7. Give m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4271713.8 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e20b2a + -2?\nAnswer: e20b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -17*d**2 - 400*d - 66. What is s(-23)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 6. What is u(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.01 + 0.01. Let f = 16.8 + l. Which is the third biggest value? (a) 0.06 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w**3 + 3*w**2 + 136*w - 1280. Is 25 a factor of y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -22\/7 (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25435.36t?\nAnswer: 25435360000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18637443*n - 13575194.\nAnswer: -18637443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2551751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*j**5 - 24149*j**2 - 11680619*j wrt j?\nAnswer: -980*j**3 - 48298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 5*w = -31, -4*v + 35 = -w. Let u be (-5 - 0) + 50\/(19 - v). Solve u = 11*t - 15*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/14 - (-12)\/42. Suppose n + 15 = -4*f, h*f = -f + 3*n - 23. Let u be (1 - -1) + (-11 - -3). Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + (-8 - (1 + 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120209312 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 2, -56, 7 in descending order.\nAnswer: 7, 2, -3, -21, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5883428*p**4 + 2757926.\nAnswer: 23533712*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -195c8 (base 16) in base 3?\nAnswer: -12021111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 234 (c) 1\/16 (d) -0.2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 3*t**2 + 23*t - 52. What is the remainder when i(-11) is divided by 660?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1489\/3507 - -2\/501. Let g = -8 + 5. Which is the smallest value? (a) g (b) -4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106187615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13488 is divided by 4473.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -58. Find the first derivative of -21*w**2 + 20 - 24 - b*w**4 + 20 wrt w.\nAnswer: -8*w**3 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226168352 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1919696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-111)*39\/182?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 888\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 3. Let x = 128 + -124. Which is the second smallest value? (a) 0 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -1, 1\/7, -1\/88, 451?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 89647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 less than 1138.3?\nAnswer: 1138.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzbzcbtzc. Give prob of sequence bb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16394 + -16399. Which is the second smallest value? (a) 6 (b) -0.2 (c) 5 (d) 0.3 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -134761 and 2904.\nAnswer: -131857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -6 + (-5 - 27) - (-27 + -41 + 63).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5 (c) 1\/3 (d) 0.5 (e) -2\/5 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from {k: 1, a: 1, c: 2, m: 4, d: 2, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 103417?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4072, -8140, -12208, -16276, -20344?\n\"Answer: -4068*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvvv. What is prob of picking 3 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 248344199 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 - 14975.\nAnswer: -14975.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130571 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913 less than 39563\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 2848?\nAnswer: 1139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 908761 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: -18045 divided by 18045\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 41 - (2 + (31 + -63 - -18))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 3373001?\nAnswer: 3372999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 189*b + 103*b + 91*b.\nAnswer: 5*b + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18830 and 4570310?\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3087345 or -3087323?\nAnswer: -3087345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3042 = -2*u + k, -3*k = -2*u - 7*k + 3062. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from zoottttotttttoott?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c, -2*c + 132 = 3*i - 406. Calculate the common denominator of 51\/2 and (3 + 5 + i)\/(3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/21 + 28\/(-6). Sort 1, v, 0, 2 in descending order.\nAnswer: 2, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/19)*p)**(-5)*(p\/p**(-4))**(6\/13) assuming p is positive.\nAnswer: p**(-2030\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 55*g**3 - 4*g + 14*g**2 - 12 - 54*g**3. Let u be r(-14). Differentiate -m**4 + 1 + 3*m**2 - 5*m**2 + u*m**2 with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2935820 to the nearest ten thousand.\nAnswer: 2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = j - 6*j - 16, 2*j + 2*l + 4 = 0. Let m be (-44)\/(-160) - (2 - (-8)\/j). What is the third smallest value in -2\/11, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/10)\/(r*r**0*r))\/(r\/(r\/(r\/(r\/(r*r\/(r*r\/((r\/(r**(-3\/28)*r)*r)\/r))*r))))*(r\/(r*r\/(r*r**(-24))))\/r) assuming r is positive.\nAnswer: r**(3051\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f - 17. Let l be r(5). Solve -4*y - l = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 764 and -97.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2579, -4726, -6873, -9020?\nAnswer: -11167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 10)*(-35)\/(-49). Sort 5, 0, 2, p in descending order.\nAnswer: 5, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/4 - 342*z = 0.\nAnswer: -1368, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**3 - 17*y**2 - 5*y - 8. Let q(w) = w**3 - 3*w**2 - w - 1. What is n(b) - 5*q(b)?\nAnswer: 2*b**3 - 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -338, -1368, -3086, -5498, -8610?\n\"Answer: -b**3 - 338*b**2 - 9*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(-2)\/(-6)*1. Suppose 0*n + 2 = g - 2*n, -q*n = 0. Solve -g*d - 5 = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29001 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 -2\/3? (a) -1 (b) 3\/7 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 - m - 2. Let r be q(-2). Suppose c + 5*p + 48 = 0, 4*c + 75 = 3*c + r*p. Let t = c - -313\/5. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 p, and 1 g when four letters picked without replacement from geeoxogepxpioo.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39e - -1e?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.7 + -26. Let z = 28\/23 + -104\/161. Which is the fourth smallest value? (a) t (b) -4 (c) 2\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 take away -1?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840, -3862, -5984, -8206, -10528, -12950?\nAnswer: -15472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 65515 + -2194\nAnswer: 63321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 352*v - 7026 - 1422 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 19. Let m be ((-7)\/14)\/(p\/(-12)). Let k be (-12)\/m - 0 - (5 + -3). Solve 0 + k = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -87. Let v be 1748\/(-228) - (-7)\/(-3). Let n = v - l. What is the remainder when n is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + -2.4. Let s = 68.1 + -68.6. Which is the third smallest value? (a) p (b) s (c) 2 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2958583.\nAnswer: 2958583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v - 3. Let u(r) be the third derivative of -r**5\/60 + 13*r**4\/24 - 7*r**3\/3 + 3*r**2. Let k be u(12). What is the units digit of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 2. Let a be ((-12)\/(-4))\/(u\/(-52)). Let v be (-1)\/(a\/(-4) - 1). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/78*36\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/417, -0.02, 3, 0 in descending order.\nAnswer: 3, 1\/417, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + -1 + (2*(1 + sqrt(252)) - sqrt(252)) + (2*(sqrt(21)\/sqrt(3))**2 - (sqrt(112) + 1))).\nAnswer: -52 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(114)\/(2*sqrt(6)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11922551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -689 - -774. Suppose 76 = -3*i + a. Factor 10\/3*h + 4\/3 + 2*h**2 - 2\/3*h**4 - 2\/3*h**i.\nAnswer: -2*(h - 2)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.1 (b) 2 (c) -1 (d) -7278 (e) 0 (f) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b + 8. Let d be v(1). Let l be ((-10)\/d)\/(-3 + (-11)\/(-2)). Let u = 2 + -2. Solve 4*r + 5*h = 28, l*h + u*h = -2*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -92*w**2 + 86*w + 10. Let x(a) = -31*a**2 + 29*a + 3. Let r(i) = -3*g(i) + 10*x(i). Find the second derivative of r(v) wrt v.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-9)\/24*(-1560)\/45\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 103\/4, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(8\/(-9))*(-16)\/12. Let z(t) = -21 - 4*t + 11*t + h + 13. Let f(x) = 36*x - 11. What is -2*f(m) + 11*z(m)?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821093 is divided by 102572.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(837\/(-27)) + (-4)\/(-2) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -672299 - -672299. Let 3\/2*k**3 + 0 + y*k - 3\/2*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20068609 and 265?\nAnswer: 100343045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1615*q - 14527. What is u(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46953 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 5) + -1 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/702*348\/145*93\/(-2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 68304730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*a**2 + 1\/4*a**4 + 8*a - 8 - 7\/4*a**3.\nAnswer: (a - 4)**2*(a - 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 368 and 3?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + f + 11412 = -3*g + 11419, -3*g + 4*f = -47 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -s - 18, 2693*s + o = 2692*s + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.1, 70326470.\nAnswer: -2\/7, 0.1, 70326470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 20 = -2*y, -6*x + 4*y - 8 = -8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:35 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.3 (c) 3 (d) -3\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-15\/7) assuming o is positive.\nAnswer: o**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658 and 5099829?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_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: 0.4 * -713241\nAnswer: -285296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687613749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooroorooooooooooooo. Give prob of sequence oo.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-6 - 3 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q - 37. Let u be p(-7). What is the third derivative of 2*m**u - 4*m**4 + 110*m**3 + 4*m**4 - 92*m**3 - 62*m**2 wrt m?\nAnswer: 120*m**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822443.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16757*v**2 - 33*v - 5435741?\nAnswer: 33514*v - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6449*h**2*v + h**2 + 7*h*v + h + 39*v + 1 wrt h.\nAnswer: -12898*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-7)\/(-70)*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(432)*2 + (sqrt(432) + 0 + sqrt(432))*-6)**2.\nAnswer: 1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 8412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4864700 rounded to the nearest 10000?\nAnswer: -4860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 3:56 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42820761, -42820739, -42820717, -42820695?\nAnswer: -42820673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2153995 + -241?\nAnswer: 2153754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 42*k - 63.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67344698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -24. Suppose -2*u = -8 + 2. Suppose -2*t = -u*t + q. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456072020 divided by 235?\nAnswer: 1940732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 at most as big as -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + -6*1*sqrt(44)) + (-6*(-1*sqrt(132) + sqrt(132)))\/((sqrt(132)*-4)\/sqrt(11)))**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + -59 + (7 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/6*(-208)\/52.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - d**2 - 2*d**2 + (1 + 1 + 0)*(9 - 9 - d**2) - 36*d**2 + 13*d**2 + 8*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.034 - 0.334. Which is the closest to -2? (a) -0.1 (b) -3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -116. Let p = 5.5202 - 92.6732. Let d = a - p. Round d to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/28684243 and -73\/18354.\nAnswer: 172105458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 418126385 times -3?\nAnswer: -1254379155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 142*p**2. Let a(v) = -14359*v**2 + 28699*v**2 - 14348*v**2. Determine a(b(f)).\nAnswer: -161312*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/116751 and 56\/350253.\nAnswer: 350253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 629120?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83\/(-2158))\/((-5)\/(-10))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 3.8. Let x = 2 - p. Which is the biggest value? (a) x (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485708*b*t + t - 533066 with respect to b.\nAnswer: 485708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -12, 83, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*m - 13. Let k = 38 - m. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l + 11. Let g(k) = -16*k - 10. Let i(x) = 4*g(x) + 3*s(x). What is the units digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -90, 106 in decreasing order.\nAnswer: 106, 29, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2428 * 188.6\nAnswer: 457920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4872759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9771.694 * -0.4.\nAnswer: 3908.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*d = 42 + 286, 2*d + 72 = -m. Let r be (-8)\/6 + (m\/(-12) - 4). Factor -1\/4*u**2 + r*u + 1\/4.\nAnswer: -(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24642572987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8485.37521 * 0.4.\nAnswer: 3394.150084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 3*k**2 - 2. Give b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 1 - -2) + (-54 - 42 - -71)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 98450.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8918965 + 11?\nAnswer: 8918976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*g = 102*g + 97*g + 2231. Suppose 50 = 3*d + 2*d. Calculate the remainder when g is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34866 by -2.\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -4.4. Let j = g + 7. Let y = 4 - j. Which is the nearest to y? (a) 2 (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -48, 0 in increasing order.\nAnswer: -48, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**(2\/33)\/h*h))\/(h\/(h**(-1\/2)*h)))\/(h**9*h**(-1\/9)))**(4\/21))**28 assuming h is positive.\nAnswer: h**(-13384\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012001 (base 5) to base 12.\nAnswer: -23773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 26*o = 36. Suppose o*j = 9*j - 420. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51215609.\nAnswer: 51215609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2) - sqrt(16)\/(2*sqrt(8) - sqrt(8))) + sqrt(2) - sqrt(10)\/(sqrt(5)*-2)).\nAnswer: 3*sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83397, 83398, 83399, 83400?\nAnswer: 83401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by 9\nAnswer: -229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -0.14 (c) 1\/7 (d) -0.17 (e) 0.2 (f) -0.5 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34045 - 7883?\nAnswer: 25052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -824830 divided by 164966?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 0*m**2 + 0*m**4 - 1\/10*m**5 - 5\/3*m**3 - 4*m. Find the second derivative of b(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 23*p**2 - 175*p + 1570. Let i(q) = -4*q**2 + 29*q - 262. Let x(c) = 34*i(c) + 6*m(c). Let x(y) = 0. What is y?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-6) - (-30)\/(-45). Suppose f*v + 0 - 6 = 0. Differentiate -a**4 + 2 + v*a**4 + 7 with respect to a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2 and 95\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*w**3 + 0*w**4 + 52 + w**4 + 2*w + 2*w**4 - 4*w**4 + 44*w**3 in the form q*w**3 + t*w + u*w**4 + p*w**2 + r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6612, -5874, -5122, -4356?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.5839 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -3*k**2 + 41*k + 56. Let y(q) = 5*q - 42. Let g(i) = -3*j(i) - 2*y(i). What is the derivative of g(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.7 - 2.7. Suppose -17*p = -4*p + 13. Which is the nearest to p? (a) -2 (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 3018?\nAnswer: 6036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**11\/q)*q*q)\/q**(-2\/29))**(-28))**12 assuming q is positive.\nAnswer: q**(67536\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1452\/330 + (-9)\/(-15)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = -2. Let c(w) = 3 + 2*w + 7*w**2 - w**3 - 8*w**2 - 2*w**3. Let s(x) = x**3 + x**2 - x - 1. Determine b*s(h) - c(h).\nAnswer: 2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 3 + 5 - 7. Sort x, -5, 5, -8 in increasing order.\nAnswer: -8, -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15533 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/10 + -43\/90. Let u = -20\/39 - -86\/117. Determine m, given that -2\/9*m**2 + 2\/9 - u*m**3 + o*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39357 is divided by 214.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 498 + 134 = 0. Let s = -40 + y. Solve 4*l - 4 = -s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/3)*n*n\/((n\/n**(-4))\/n) assuming n is positive.\nAnswer: n**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 12. Let v be k(-9). Suppose v*b + 10 = 2*z, z - 4*z - 3*b = 0. Suppose 4*o = -z*i - 2*i + 88, 2*o = i + 59. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53999, 54021, 54119, 54323, 54663?\n\"Answer: 5*d**3 + 8*d**2 - 37*d + 54023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/14208 and 80\/33.\nAnswer: 156288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 2, o: 8, u: 6}. Give prob of picking 1 b, 1 g, and 2 o.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.28 in -1, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/60*o**5 + 0*o**3 - 2*o**2 + 24*o + 0 + 0*o**4. Let n(z) = 31*z. Give y(n(g)).\nAnswer: -961*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 8 = -4*p. Suppose -4*f + s = -33, -f + 4*f + 2*s = p. What is the third smallest value in f, -0.4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 616, 657, 736, 865, 1056?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14801 divided by -2\nAnswer: 14801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 8*m + 5*q - 78, 75 = m + 4*q. Let a(f) = -3 + 64*f - 126*f - 3 + m*f. Calculate a(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 0, -2*p + 5*p + 63 = k. Let c = -10 + k. Let l = c + -45. Sort -1, -8, l in descending order.\nAnswer: l, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Let z be (6\/6)\/((-1)\/30). Let i be (-2)\/z - (-6)\/(-9). What is the biggest value in i, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18)*-1)\/((22785\/(-315))\/217)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**32)**(-1\/7) assuming q is positive.\nAnswer: q**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-44)\/8)*2. Solve -3*c - 2*q + g = -6*q, c + 4*q - 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110010 - 101101?\nAnswer: 111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -66*(6\/(-9) - 5)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -241*l + 249. Let w be u(1). Solve -26 = w*d - 74 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u - 93*u + 725 = 0. Let c(w) = 2*w**3 - 3*w**2 - 4*w. What is the remainder when u is divided by c(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 8. Let a be b(2). Let r(k) = 152*k**3 - 2*k**2 + k - 2. Let t be r(a). Suppose -t = -4*f + 3*y - 5*y, -y + 1504 = 5*f. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2380 and 180.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 19*w + 21. Let a(z) = -5*z - 51. What is the remainder when a(-14) is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:25 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/3 + k**2\/2 - 4*k + 1. Suppose -5*a - 11 = -4*i, -3*i = -2*a - 9 + 6. Let r(y) = -1. Give i*s(j) + 4*r(j).\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56991 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08955 * -0.2253.\nAnswer: 0.020175615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/201348 and 47\/4.\nAnswer: 201348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 113*y**2 - 27*y. Is u(-4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -30, -5 in increasing order.\nAnswer: -30, -5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**9\/216 - q**6\/40 - q**3\/6 - 15*q. Let t(d) be the second derivative of g(d). What is the third derivative of t(a) wrt a?\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58747.1 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2217448 - 1017448. Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*r + 738*r + 741*r + 2*j = -5, -5*j = r - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*k + 5*k - 31*k + 97234. Calculate the remainder when k is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -143*s**4 + 1561*s**3\/3 - 2561. What is the third derivative of q(o) wrt o?\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399574 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7534607 is divided by 9325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.0661 (b) 0 (c) -663 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = -5*p - 478, p - 478 = u. Let s = -291 - u. Let w = 1307\/7 - s. Which is the nearest to -1? (a) -3 (b) 2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = -2*z, -z - 4 + 0 = 0. Suppose -u*w - 80 = -8*w. Let c be ((-16)\/w)\/((-2)\/5). Do c and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -165542?\nAnswer: 165526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -397\/5. What is the smallest value in 0, 1.1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-8) + 0)*4. Let o(u) = 6*u + 9 - f + 22 + 11. Let z(j) = -j - 7. Let n(a) = -2*o(a) - 11*z(a). What is n(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 274944 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 85\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-7) + -39 + 38?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 v when three letters picked without replacement from zzkvvvveakzvevz.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = y - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 3*b. Suppose b = 3*n - 36 - 723. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2061576 and 62568?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8397 by 3263.\nAnswer: 8397\/3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*b - 50, 0 = -4*w + 5*b + 44 - 1. Calculate the smallest common multiple of (-18)\/(-63) + (2\/(-7) - -1) and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2549.4 - -2549. Let r = -0.1 + -0.1. Sort 2\/3, r, v, -5 in descending order.\nAnswer: 2\/3, r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 2:20 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/15 + (-62612)\/1451460?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 20\/(-3 + -2). Let w = 11 + -1. Calculate the greatest common factor of u and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxmxmggxmg. Give prob of sequence mg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/16 - -335\/1872. Let k = -38\/117 + v. Let g be (-2)\/((8 - 0)\/2). What is the smallest value in 5, g, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - m**2 - m + 2. Give n(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 + 3*k - 5. Calculate b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -17?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30a35b (base 13) to base 11\nAnswer: -706900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - -52. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4007768.3 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2000?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5373689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.3. Let u be (-22608)\/(-315) + 8\/28*-2. Let c = u + -2477\/35. Sort c, 3, -10, v.\nAnswer: -10, v, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6809 + -6809.3. Let p = 1 + -1. Let j be (4\/14)\/(4\/(-6)). Which is the nearest to f? (a) p (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Let j be (1\/v)\/((-2)\/(-24)). Let x = 2 - 5. Sort j, x, -5.\nAnswer: -5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70711 divided by -4?\nAnswer: -70711\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25235666 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x**3 - 2*x**2 - 30*x - 5. Let r(q) = -26*q**3 + 3*q**2 + 51*q + 9. Determine 5*f(s) + 3*r(s).\nAnswer: -8*s**3 - s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12538 by -2.\nAnswer: 6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*i - 23*i - 24*i.\nAnswer: 181*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163717 - -0.1?\nAnswer: 1163717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -154\/9, -5, 4, 0, -3, -1 in descending order.\nAnswer: 4, 0.5, 0, -1, -3, -5, -154\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4869 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((7 + -4)\/3)\/1. Put a, 9, -5, -3 in ascending order.\nAnswer: -5, -3, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i - 18. Let p(a) = -30*a - 50. Let r(y) = 11*b(y) - 4*p(y). Let s be r(0). Solve 2*l = 3*l - s*h - 1, 0 = l + h - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/(-15 - (-27 + 22)). Let j(m) be the third derivative of 0*m + a*m**2 + 0 - 2*m**3 - 3\/10*m**5 - 1\/40*m**6 - 9\/8*m**4. Factor j(w).\nAnswer: -3*(w + 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + 48. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 + 3806274*v + 15225144 = 0.\nAnswer: -4, 1268762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4 + 4 - 8) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450333962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1)*(63\/(-6))\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*p**2 + 32*p**2 - 4*p**3 + 36*p**2 as q*p + c*p**3 + j + k*p**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2311663?\nAnswer: 25428293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + a**3 + a**2 + 3*a + 7*a**2 + a**2 + 4. Calculate the remainder when c(-3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - 1\/(-2). Suppose -5*i + 3*q = -15, -31*q - 15 = -5*i - 26*q. What is the third derivative of 3*s**2 + s**2 + 8*s**i - 6*s**w + 4*s**2 wrt s?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2 - sqrt(156))*1)\/(sqrt(12) + (2*sqrt(72))\/sqrt(6)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*i - 30 = -310*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/96995, 10?\nAnswer: 1\/96995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 38*r**5 + r**3\/3 - 67*r - 58. What is the third derivative of c(g) wrt g?\nAnswer: 4560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.207161 millilitres to litres.\nAnswer: 0.003207161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 68\/37, 0 in decreasing order.\nAnswer: 68\/37, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*w - 3*w - 133, -130 = -2*p + 4*w. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttz when three letters picked without replacement from wwzwttwztwttw?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 - k + 3. Let f(a) = 5*a**2 + a - 4. Let q = 5 - 11. What is q*d(h) - 5*f(h)?\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkwkkkkkkkkykk. Give prob of sequence ky.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five eighths of a centimeter?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 6*n. Let g(i) = 3*i**2 - 7*i. Give 5*g(b) - 6*q(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 - 14992*i**3 - 89772*i**2 + 134768*i + 209552 = 0. Calculate i.\nAnswer: -3742, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1797075 and 6475?\nAnswer: 66491775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/(-7))\/((-16)\/(-28) - 0). Let l(o) be the second derivative of o**4\/12 - 3*o**3\/2 + 2*o**2 - 32*o - 2. Give l(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 58.\nAnswer: -35\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154395*s**3 + 413636*s?\nAnswer: -926370*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/26523 and -19\/9.\nAnswer: 26523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-28)*(-125)\/(10250\/4018)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 14, f: 5}. What is prob of picking 3 f?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 + 4*a - 36. Let j be d(7). Calculate the common denominator of 7\/52 and 116*j\/(512\/(-12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 2 - (-3 - (-25132)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n + 3. Let x(a) = 4*a**3 - a. Let g be x(-1). Let k(o) = 7*o + 4. Let m be -2 + 81\/15 - (-3)\/5. Give g*k(j) + m*d(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d. Let y be (158\/(-5))\/(-3*2\/30). Let p(c) = -158*c + c**2 + y*c. Calculate p(g(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 3. Let b be w(-3). Suppose 0 = -3*u + 6*u - 9. Suppose -3*o + 7 + 0 = -2*i, u*o + 4*i = -5. Solve -3*l + 2 = -2*k, -k + b = -l - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 14*f = 16*f + 5, -16 = 4*l + 129*f - 125*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.8 (c) -25 (d) 0 (e) 6 (f) 0.3 (g) 11\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598 by 4.\nAnswer: -299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(2*t + 0 + 0) + 1 - 1 + 2*t - t + 5*t - 2*t - 7*t + t + 11*t)*(-954 + 957 + 19*t + 2*t**2 + 25*t).\nAnswer: 22*t**3 + 484*t**2 + 33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1867*l**2*u**2 + 7*l**2 - 25*l*u**2 - 1782*l + 2 wrt u?\nAnswer: 3734*l**2*u - 50*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 20. Determine u(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-6)\/192 - 1\/4. Suppose -261*g + 254*g + 273 = q. What is the greatest common divisor of g and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 62*w**3 - 388*w**2 - 1040*w.\nAnswer: -2*w*(w - 20)*(w - 13)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 24*p. Let g(z) be the second derivative of z**3\/3 + 56*z. Calculate h(g(k)).\nAnswer: 8*k**2 + 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 18*u - 3. Let a(l) = -3*l**2 + 28*l + 5. What is -5*a(o) - 8*z(o)?\nAnswer: -o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 19194*v + 211618.\nAnswer: -2*(v - 11)*(2*v + 9619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 14*r\/3 - 17.\nAnswer: (r - 17)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -175715*x + 10. Suppose 23*j = 19*j + 56. Let o be u(j). Round o to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/10*(-70)\/28. Solve -g + 3*o = 6, g + l*o = -3*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 745 = -255. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 939, 2146, 3827, 5976, 8587, 11654, 15171?\nAnswer: 19132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(162)*-1 + -5)*2*5 + -3)**2.\nAnswer: 13140*sqrt(2) + 21529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/4, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.6 and -2440.07 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*b + 110*b + 4000 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 1:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/116 and 97\/8352.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let n(g) = 8*g**2 - 18*g + 9. Let z(m) = 5*i(m) + n(m). Factor z(r).\nAnswer: 2*(r - 2)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/(-8))\/(8\/(-32)). Let w = 18 + m. Suppose -4*b - 16 - 4 = -c, -3*c + 88 = -w*b. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8250)\/60)\/55)\/((-28)\/(-8))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + 5 - 7*((-58)\/(-7) + -8) and 891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/((-46)\/(-207))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w - 1. Let m(x) = 5*x**2 + 12*x - 26. Let s(l) = -m(l) + 6*r(l). Let j be s(17). Is -1594*(35\/(-10) - -1*j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) 1996 (c) 1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/(-216))\/(13\/(-7371)*-27)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21*a**2. Let p(o) = -9*o**2. Determine p(x(g)).\nAnswer: -3969*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, n: 1, m: 1, w: 1, y: 2}. Give prob of picking 1 n and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4431 by -211.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/9 and -79\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109868*p**2 - 83150 wrt p?\nAnswer: 219736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3769\/13349 - -70516599\/11747120. Let w = -3\/110 - g. Calculate the common denominator of w and 145\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - b - 3*b**2)*(-b**2 + 2*b**2 - 4*b**2) - 6*b**4 + 7*b**4 + 0*b**4 in the form x*b**3 + i*b**4 + p*b + c*b**2 + g and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029892?\nAnswer: 2, 257473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 1. Let u be l(2). Let r be (10\/(-6))\/((-3)\/(-36)). Let a = u - r. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79344*p**3 + 12564*p**2 + 3*p wrt p.\nAnswer: 476064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -196, -167, -120, -61, 4, 69?\n\"Answer: -a**3 + 15*a**2 - 9*a - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 11*j - 107. Let c be l(-6). What is the fifth smallest value in 5, 2\/5, c, 3\/61, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493 - 493.2. Put d, 1\/8, 8 in ascending order.\nAnswer: d, 1\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1 - (-14)\/(-35). Let l = -9\/2 + 3. Sort 1\/8, s, l in decreasing order.\nAnswer: s, 1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -24454 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1088 = 3*i, 124*p - 1430 = 119*p + 5*i. Calculate the greatest common divisor of p and 5143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 104215185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24*t**2 - 647*t - 27. Let d be j(27). Solve -15*o - 2*o - 136 = d for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-4 + 2)*-1. Let h = -115.4 + 122. Let w = -7 + h. Sort -1, t, w in descending order.\nAnswer: w, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 29. Let f = -99 + x. Calculate the remainder when 70 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*5\/((-3)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d + 1. Let j be w(-1). Let s = -2336 - -2339. Which is the third biggest value? (a) s (b) 0.8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u - 2. Let p be k(-5). Put 1, -1, p in descending order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2 - 1 + 0 - 2 + 3 - 6 + 2 + (-3 + 4 + 1)*(3 + 1 - 3))*(-6*s**3 + 5*s**3 + 0*s**2 + 3*s**2).\nAnswer: 4*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44074 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13382726166 minus 507?\nAnswer: -13382726673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 144\/193919?\nAnswer: 144\/193919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.12738 micrometers in centimeters?\nAnswer: 0.007712738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b - 13. Let m be f(-4). Put -4, 4, m in ascending order.\nAnswer: -4, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*r - 7, 3*v + 2 = 3*r + 5. Suppose -3 = -32*f + 29*f. Solve -q = r + f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44*-10.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 57. Let v(m) = -m**3 + 5*m**2 + 8*m - 11. Let d be v(y). Let h(x) = -5*x**2 + x - 1. Give h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204892333 - -204892290.99999992. Let f = -42 - q. What is f rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38843875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1106 + -6411. Let z = 127235\/24 + x. Find the common denominator of 93\/4 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 - 11*w**2 - 6*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 505*x**3 - 36*x - 7 wrt x?\nAnswer: 3030*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j - 10920 = -43*j. Suppose 7*o = -32*o + j. What is the smallest common multiple of o and 4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**6\/120 + j**5\/12 - 7*j**4\/24 - 2*j**2 + 5*j. Let a(f) be the first derivative of u(f). Give a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 (base 8) in base 10?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -110. Suppose -4*g = 2*f - p*f - 2, -7 = g + 3*f. Solve -g*r - j = -3*j + 8, 4*r = j - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -72.9952. Round r to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.858277 centimeters?\nAnswer: 8582770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 770163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20406435 (base 8) to base 4\nAnswer: 100200310131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -31, -37, -31, -7, 41?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = -2. Let f(c) = -c**2 - 10*c - 12. What is f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/52*(-520)\/280?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 637920536 a multiple of 2792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)*(-2)\/10. Let r = 0.01617 - 0.11617. Which is the nearest to r? (a) 2\/29 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 14) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let k be g(-2). Let q(f) = -f**2 + 2*f**k + 1 + 0*f**2 + 4 + 4*f. Is q(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.723332366 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -146 + 64 + 58 + 4611*p + 24. Let f(i) = 2*i**2. What is m(f(q))?\nAnswer: 9222*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 49, 45, 25, -17, -87?\n\"Answer: -t**3 + t**2 + 10*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 3*r + 4. Let n be 2\/(-6)*((0 - 0) + -18). Let t(k) = -8*k**2 + 7*k - 9. Let w(f) = n*t(f) + 15*s(f). Factor w(g).\nAnswer: -3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7725262*m + 4345395.\nAnswer: 7725262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-322)\/10)\/(-7) + 8\/20. Suppose l - j*l + 3556 = 3*a, 3*a = 0. List the prime factors of l.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**2 + 6*u - 8. Let o be c(4). Let s = o + 116. What are the prime factors of s\/1 + (4 - -193)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10100110011001110010?\nAnswer: -10100110011001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 + (-22)\/(-10)). Is r not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -h + 4, -3*h + 0*b = 3*b. What is the second smallest value in 1\/4, h, 1.17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -3, -219, 405?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11041*q**3 + q**2 + 2*q + 1. Let j be r(-1). Let b = j + -198809\/18. Find the common denominator of (-350)\/(-24) - 3 - 8\/2 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -1)*42\/(-10). Suppose -3*j = -3*w + 90, -w + 19 = -2*j - 12. Let r = h + w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in sixty-one halves of a kilometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210576539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from {h: 2, b: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 4, -0.4, 0.03, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9529*a - 2 = -11779*a - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-213202)\/14 + 3 + 4\/(-14). Let q = r - -1141873\/75. Calculate the common denominator of -97\/30 and q.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2352615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. Suppose -c*j + 3*j = -4*j. Suppose b - 12813 + 2838 = -4*d, j = -4*d - 4*b + 9960. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 7*o**2 + 4*o**2)*(2*o - 2*o - 2*o) + 3*o**3 - 2*o**3 - 2*o**3 - o**3 + 2*o**3 + 4*o**3 - 2*o + o**3 + 2 + 2*o + 74*o**3 - 360*o**3 + 78*o**3.\nAnswer: -205*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 29*a - 36. Calculate k(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 4*f - 3. Let w(a) = a**2 - a + 1. Let d(m) = -b(m) - 4*w(m). Let p be d(3). Let z be (-14)\/p + (-6)\/15. Sort 0.3, 5\/4, z.\nAnswer: 0.3, z, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 2*g**2 - g**2)*(-3*g + 29*g + 5*g).\nAnswer: -93*g**3 + 62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -105 (c) 189 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 25 - 7*t**2 + 37*t - 16*t - 10. Let v(q) = -3*q**2 + 10*q + 8. Let j(f) = -4*p(f) + 9*v(f). What is the units digit of j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 + 3568 - 572)*(-3 + 3 + 2*s).\nAnswer: 5582*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from oppipaippiivw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493 a factor of 4052002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344 - 342. Let s(d) be the first derivative of 9\/2*d**n - d - 7. What is the first derivative of s(x) wrt x?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*f + 2*f - 6660, -2*f + 2*u + 6660 = 0. Let v = f + -1969. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6\/60 - i**5\/30 + 3*i**2\/2 + 2. Let s(a) be the second derivative of m(a). What is the third derivative of s(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -83*i**2\/2 - 156*i + 89. Differentiate f(o) wrt o.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/90*(-22 + 16). Let v(j) be the first derivative of -4*j**3\/3 - j**2 + 3*j - 1. Let t(q) = 1. Determine p*v(k) - 4*t(k).\nAnswer: -4*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058 = 316*z - 362*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - 261\/(-145)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 489\/(-6) + (-30)\/6 + 8. Let i = -78 - k. Factor 0 + 1\/2*f**2 - 1\/2*f**4 + 0*f - 1\/2*f**5 + i*f**3.\nAnswer: -f**2*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 2*p**2 + 2*p. Calculate c(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 376*o + 40969. Give z(-108).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1215929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130523 from 3.507.\nAnswer: -130519.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -11.4. Let o = -22 + w. Let b = -8 - o. Sort 2\/3, b, -2 in descending order.\nAnswer: b, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 3*j**4 + 2*j**4 + 2*j**4 + 0*j**4 + 0*j**4 + (3*j**2 + 3*j**2 - 4*j**2)*(2*j**2 - 2 + 2) - 2*j**4 + 3*j**4 + 4*j**4 + 4*j**4 - j**4 - 5*j**4.\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3515467 to 2 decimal places.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3953*h**2*q - 7*h**2 - 46*h - 195*q + 73 wrt h?\nAnswer: -7906*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let g(c) = -5*c**2 - 2*c + 1. Let x(w) = 4*d(w) + g(w). Suppose 5*m - 13 = -3*t + 24, -4*t = -5*m - 26. Let i = t + -12. What is x(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 1209*r - 8668. Give k(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83821?\nAnswer: 109, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)\/(z\/z**(-6))*(z**0)**(-1\/2))**(-32) assuming z is positive.\nAnswer: z**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286837692 to the power of 1\/3, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j + 45080 - 45080. Let l(n) = -2180*n**2. Calculate i(l(m)).\nAnswer: -13080*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10918*j**4\/3 + 3840921*j**3\/2 + 759186656*j**2\/3 - 77186912*j + 185856 = 0.\nAnswer: -264, 1\/412, 16\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from ttutauaaattttttata?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10261, -10232, -10179, -10090, -9953, -9756, -9487, -9134?\nAnswer: -8685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 4\/11*n**2 + 13\/22*n**4 + 0*n + 1\/33*n**6 - 8\/11*n**3 - 12\/55*n**5 - 5. Suppose m(y) = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 5995134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*t = 7*t - 1644, 4*t - 1096 = 2*r. Let w = 543 + r. Sort -3, 2, w, 1.\nAnswer: w, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 14*u, 3*d + u - 5*u - 42 = -17 - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 3*f**2 - 4*f + 11. Let m be w(3). Is 487\/3 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -3 + (-34 - 33) + 226?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v - 1. Suppose 15 + 3 = 18*p. Let y be ((-6 - -3) + 6)\/p. Determine g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u. Let b be q(-3). Let c be ((-16)\/12)\/((-2)\/b). Let n = -8 - c. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 13. Let r(n) = -3*n**2 + n. Let u(i) = -8*i**2 - 13*i + 8. Let a(q) = 3*r(q) - u(q). Does 11 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18604 - 4163. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64553502103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2098239 (base 11) to base 13\nAnswer: 9c087b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.3, -1, 107887, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184405.\nAnswer: 5, 13, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x. Let l be o(-2). Let c be (-3)\/(2 + -5) + l. What are the prime factors of (3\/1)\/c*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5716 + -2.5716. Let c = -0.3 + 0.3. What is the closest to c in 1\/5, j, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 125. Let u = -55.2 - g. Let h = u + 9.2. What is the fourth smallest value in -3, 0.3, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0646943 rounded to three dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324375 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**5\/11 + 58*r**4\/11 - 78*r**3\/11 + 2*r**2 + 8*r\/11 = 0. What is r?\nAnswer: -1\/5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1821\/1351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/835908 or 0?\nAnswer: -5\/835908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 86*g - 334. Calculate k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443186993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69*3\/(-24) - 1 and 4\/6*(-1260)\/80 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12868 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m - 247. Let u be y(19). Let t(k) be the third derivative of 1\/15*k**5 + 0 + u*k - 3*k**2 + 0*k**3 + 1\/6*k**4. Find p such that t(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-643*m**3 + 3296*m**3 + 1349*m**3)*(1 + 1 - 5) to l + z*m + h*m**3 + p*m**2 and give h.\nAnswer: -12006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70732, 70731, 70730, 70729?\n\"Answer: -h + 70733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -505, -1005, -1503, -1999?\n\"Answer: i**2 - 503*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:14 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 4. Let h(n) = -5*n + 17. Let a(r) = -9*b(r) + 2*h(r). Suppose -2*d + 2 + 2 = 0. What is the remainder when d is divided by a(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316798753 is divided by 689?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/13 - 111502*b**2\/13 + 2563488*b\/13.\nAnswer: 2*b*(b - 55728)*(b - 23)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30167445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 440 = -8*m. What is the greatest common factor of m and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 39*q - 2794. Let z be t(72). Solve 2*d + 2*p = -2, 0*d = d - 2*p - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-8))\/((-111)\/(-148)). Calculate the remainder when 24\/20*(i + 251\/3) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*h**2*u + 65*h + 2*u - 2 wrt h.\nAnswer: -150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(2\/3)*(o**(2\/7))**(-32)*(o**(-11\/5)\/(o*o*o**(4\/5)*o))**37 assuming o is positive.\nAnswer: o**(-4840\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - 197. Let m be -15*(21\/v + 2) - 2. Solve 4*o + o = -j - 5, j - m*o = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -19*u + 234. Which is the third biggest value? (a) -0.4 (b) u (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + -1.7. Let x = k + 9. Which is greater: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 15*f - 5748. Calculate o(84).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = 12*x. Suppose 4*z - 2*r - 41196 = x, 6*r + 30902 = 3*z + 7*r. What is z rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2 + 71*p - 1576. Calculate g(-13).\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2730, 2722, 2700, 2658, 2590?\n\"Answer: -o**3 - o**2 + 2*o + 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -157977109626 and 17.\nAnswer: -157977109609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - -78. Suppose -8*o + j = -4*o. Calculate the common denominator of o and -91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920580 is divided by 183986?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/25))\/(((r*(r\/(r**(1\/6)\/r))\/r)\/r*r)\/r))\/(r**(1\/9)\/r**(-8)) assuming r is positive.\nAnswer: r**(-3539\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u - 26 = -96*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.4 + 59. What is the second biggest value in -2\/21, a, -1\/7, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11 + 167*p + 9 - 30 + 10. Let i(l) = 2*l**2. Determine i(t(o)).\nAnswer: 55778*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5)**(1\/32)\/(t**(-4)*t)**(6\/23) assuming t is positive.\nAnswer: t**(691\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**0\/a))\/a)**(-45)*((a\/(a*a*a*a**(-2\/3)*a))\/a)**39)\/((a**(-1\/2))**17)**(-18) assuming a is positive.\nAnswer: a**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.8071 centuries in decades?\nAnswer: 378.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37531630 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/(944\/(-413)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, j: 1, m: 3, x: 2, p: 4}. What is prob of picking 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/56759?\nAnswer: -2\/56759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omulmnn. What is prob of picking 1 l, 1 m, 1 u, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -107, -281, -545, -911, -1391, -1997, -2741?\n\"Answer: -2*x**3 - 27*x**2 - x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36907443053+-1332\nAnswer: -36907444385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 2*a - 14092 = 30*l, 3*l + 2*a = 10555. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1183 + 1230. Calculate the remainder when 257 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {i: 4, a: 1, h: 3, k: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 157 and 49.6.\nAnswer: 206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 4*k - 68, -80 = -5*m + 4*k. Let i = m + 475. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13828147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-28 - -35) - (40 - -16)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-406)\/21. Let m be (11\/5 + 1)*o. Suppose -m - 56 = -4*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 42. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 1, y: 1, u: 6}. What is prob of picking 2 u and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -49, -73, -97?\n\"Answer: -24*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 8\/(-6)*(-54)\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38445, 76891, 115337, 153783?\n\"Answer: 38446*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377 + 721. Suppose 0 = 6*s - 894 - b. Suppose 3*r = -2*i - 0*r + 158, 4*i = 2*r + s. Calculate the remainder when i is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1236 + -10511\/6180. Let k = 2\/1367 - 26025\/35542. Find the common denominator of k and n.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/75)\/(5\/(50\/8)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 16 - 2. Let u(m) be the first derivative of -m**4\/4 + 5*m**3\/3 + 7*m**2\/2 - 7*m + 57. Let o be u(k). Round o to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - (-410 + 139 - -52).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6538 - -6567.37. What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrfriqf. Give prob of picking 1 i and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 + 557 - 10*s + 9*s - 2 + 2 + s + (s - 2*s + 0*s)*(3 - 1 - 4).\nAnswer: 2*s + 604","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (1 - -1)\/2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Suppose 4*i + 2*w = -0*w - 400696, 3*i = v*w - 300522. Let n = i + 47174. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (462\/3)\/(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*-2*198\/(-99)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1648, 1605, 1530, 1417, 1260, 1053, 790, 465?\n\"Answer: -q**3 - 10*q**2 - 6*q + 1665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -17434*z**2. Let i(u) = 147*u**2. Give i(f(x)).\nAnswer: 44679820332*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 10. Let d(v) = -2*v + 5. Let h be -19 + 27 + (-10)\/4*(-48)\/(-60). Give h*o(k) + 11*d(k).\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(-4440)\/(-370).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-3)\/(-9))\/(16\/12). Let r be (14\/35 - (-36)\/10) + h. Solve 4*z - 11 = -i + r, -i = -3*z + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (62 + -112) - 20\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010100 + -11?\nAnswer: 1100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = -8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(4\/3)\/p)\/p))\/p*p*p**(3\/8)*(p**0)**(2\/11)*(p**(2\/3))**(2\/111)\/(p*p*p\/(p\/(p*p*p*p**0*p*p)))**(-9\/4) assuming p is positive.\nAnswer: p**(47429\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -762*a - 868. Let r be z(-2). What is the greatest common divisor of r and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 + 371*m + 10584 = 0.\nAnswer: -28, 1512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58101 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 106 = -45*c. Let p = c + -53. Is p >= 1\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 + -134. Let h(a) = a**2 + 5*a - 5. What is h(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from rekekekkeeeerjkkoek?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3d2 (base 14) to base 15\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l + 27413 = 9185. Calculate the smallest common multiple of l and 182.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.956937867 times -0.1?\nAnswer: -0.0956937867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 26. Is 26 a factor of u(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -856, -1284, -1696, -2086?\nAnswer: -2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -4292242.612?\nAnswer: 4292237.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - -1)\/(2\/(2 + -1)). What is the third derivative of -7*l**2 - 2*l**2 - l**5 - f*l**2 wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1.81.\nAnswer: -0.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let w(f) = -f - 2440. Calculate w(c(g)).\nAnswer: -2*g - 2440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36364 and 18.\nAnswer: 327276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/8*n**4 + 3*n - 1\/2*n**3 + 0 + 13\/2*n**2. Let b(q) be the first derivative of h(q). Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1580\/80 - 19) + (-71)\/(-48) and 67\/165?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -151, -152, -153, -154?\n\"Answer: -c - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 3, c: 6, i: 2, v: 2}. Give prob of picking 1 w and 2 c.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7744.3092 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 12*q + 1. Let w(f) = -19*f**2 - 7996*f - 5. Determine -5*c(u) - w(u).\nAnswer: -u**2 + 7936*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18*t**2 - 18*t. Let b be c(-11). What is the highest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, 36, 4, -5, -96?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 + 5. Let f(u) = -11*u - 7*u**2 - 2*u**2 + 11*u - 9. Calculate -7*b(i) - 4*f(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c**3 - c**2 - c + 13. Let w(n) = -5*n**3 + 3. Let y(g) = 2*i(g) - 9*w(g). Calculate y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 870 + -869.9. What is the nearest to r in -0.9, -5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxyxybxmemb. Give prob of picking 1 e and 1 x.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-4))\/(-2))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 24*u + 104. Let v = -30 - u. Let m be v - 5*(-10)\/(-25). Sort m, 1, 2, -5 in descending order.\nAnswer: 2, 1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 6. Let p(v) = -v**2 + 13*v - 5. Let q be p(13). What is the tens digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*x - 6 = 0, 0*x = -4*l - x + 21. Let c(v) be the second derivative of l*v + 1\/20*v**5 + 0*v**3 - 1\/4*v**4 + 0 + 2*v**2. What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-2)*-4 - (-3730)\/(-10)*-28.\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b - f = -123792, 3*b - f = 92837. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -25*w - 224. Let j(i) = i**3 + 11*i**2 + 9*i - 10. Give j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*j + 386, 2*w + 3*j = 3*w - 82. Suppose -w*d = -106*d + 840. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1029*n**3 + 5292*n**2 - 9072*n + 5184.\nAnswer: -3*(7*n - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -153271 divided by -6?\nAnswer: 153271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7633, -15521, -23409?\nAnswer: -31297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 13.177, 4, 5, -12, -2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -447, -1.\nAnswer: -447, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - -876. Let t = o - 80530\/81. Find the common denominator of t and -34\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 != -185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 5359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1940.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -15) + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -315*f - 57554. Determine n(-183).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 0.5 (c) -34 (d) -63 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 4*n - 210. Let p(z) = -4*z**2 - 3*z - 140. Determine 7*p(t) - 5*s(t).\nAnswer: 2*t**2 - t + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7578 - 7566. Solve -4*f + 3*k = -16, -2*k = -3*f + 2*k + a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.4. Let k = -18 - -18.1. Which is the nearest to k? (a) -3 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 33 + -13 + (2 - 3 - 37)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 + 8*s - 44. Let h be b(-5). Put h, -4, 7 in descending order.\nAnswer: 7, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncn. Give prob of picking 1 n and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3 = 0, -4*v = -3*i + 7*i + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 15*v + 2. Let k(d) = -45*d - 6. What is 17*g(t) + 6*k(t)?\nAnswer: -15*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.8 - 42. Let d = 1.9 + -2. Let z = d - -0.6. Which is the biggest value? (a) v (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -40. Suppose b - 56 = 5*j, -5*j + d*j - 50 = 5*b. Let i(t) = 2*t + 6. Let n be i(-8). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/4 - 55*h**3\/2 + 2791*h**2\/4 + 3015*h\/2 = 0. Calculate h.\nAnswer: -2, 0, 45, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12 (b) 2\/11 (c) -0.5 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770523.4ml to litres.\nAnswer: 770.5234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -o + 2*o, b - 2*o = 9. Is 3 - (3 + b)*-56 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/((-110)\/(-12)). Let n = 577\/495 - w. Factor -10\/9*u + 2\/9 - 20\/9*u**3 - 2\/9*u**5 + n*u**4 + 20\/9*u**2.\nAnswer: -2*(u - 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -31*a**4\/4 + a**3\/3 - 14. What is the third derivative of t(u) wrt u?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3633937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 3. Let c be q(8). Let h = 1019 + -1015. Solve -n = h*w + 21, 0 = 5*n - c*w + 9 - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-95)\/(-76) + 1053\/(-900)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 4, d: 1, o: 5, z: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -12)\/(117\/(-90))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 22*f**2 - 35*f - 64. What is l(-21)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Let g be 3\/z - (-5)\/2. Let o(u) = -3 + g*u + 3. Let p(s) = 2*s**2. What is p(o(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 277. Let t be u(0). Let p = 531 + t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 12812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 1. Let y be j(3). Suppose 2*b = -y*r + 502, 2*b + 266 = 2*r - 2*b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-6)\/(2 - 0). Suppose 5*d + 3*f = k, -3*d + 2*d + 5*f + 23 = 0. What is the first derivative of 9 + s - s - 11 + s**d wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:23 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*u + 46*u + 3022 - 4164 - 108*u to the form x*u + y and give y.\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14455?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, w: 1}. What is prob of sequence wxxb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2 + 2 - a**2. Let n(r) be the first derivative of 0*r**2 - 5\/3*r**3 + 0*r - 21. Determine n(g(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18095 = -206*d - 60*d - 119*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 103*c + 202 = 0. What is c?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 15 = -5*y, -y + 1 + 21 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3090 - -3211. What is the remainder when o is divided by 88?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -457333.\nAnswer: -2\/457333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15361 - 8961. Does 64 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/9)\/(l\/((l*l**(-2\/29))\/l*l)) assuming l is positive.\nAnswer: l**(40\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72400*-1.185.\nAnswer: -85794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q + 25. Let n(s) be the first derivative of 0*s**2 + 4 - q*s + 4\/3*s**3. Differentiate n(j) wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1594, 1582, 1580, 1594, 1630?\nAnswer: 1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from mqcqmmmqcqmcmcqmcqq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/8)\/((-6)\/72). Let f be (-10)\/g*-3*15. Let p = f + -56. Let s(a) = 2*a + 6. What is s(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 3*z**2\/2 - 13*z - 1335. Let q be (-1)\/(-3) - (-23)\/3. Give b(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from ttutuuvuuouonvw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042 (base 6) in base 15?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21391893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/14)\/(17\/1190). Is t <= 56\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/1645 and 76\/15.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11149918 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693272009 to the power of 1\/4, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from tpppgeeeet.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572918829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -246158\nAnswer: -9846.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 77 - 4*u + 110.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 75*w = z - 3132, 3*z + 2*w + 15*w + 568 = 6*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86460 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/56 and 103\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9629*j**2 - 517 + 9625*j**2 + 517.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/(i\/((i*i**(1\/15)\/i)\/i)))**(-5\/6)*(i**0)**(-42)\/((i*i*i**(-3\/7)*i)\/(i*(((i*i\/(i*i**(-1\/5)*i))\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-4867\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65.76 - 22.8562.\nAnswer: -88.6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-4*6)\/(-2). Let v be ((-2)\/15)\/(8\/r). Let s = 193 + -196. Which is the closest to v? (a) 0 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14190269 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:43 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r - r**2)*(-3 + 5*r**3 + 3) + (-3*r**3 + 3*r**3 - 2*r**4)*(-3*r + r + 3*r) - 3*r**5 + 5*r**5 - 3*r**5.\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 12 + 4)*(27 - 9 - 5)*(-4*k + 6*k - 5*k)*(k**3 + 0 + 0) to the form b*k**3 + x*k**2 + m*k + g + l*k**4 and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738 - 22*c**2 + 72*c**2 - 738.\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -12. What is the third derivative of 7*x**i - 6*x**3 + x**6 - x**2 - x**3 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17950001 less than -17949970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 46. Let v = 685905 - 685955.0009. Let n = v + l. Round n to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggcccrrcgc. Give prob of sequence cr.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x, 0 = 5*b + 2*x - 120. Let f(t) = t**2 - 3. Let p(m) = -m + 1. Let l be p(5). What is the remainder when b is divided by f(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3180*u + 3143*u = -777 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbcsccbbubuobs. Give prob of picking 1 u, 2 s, and 1 c.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 34*t**2 + 710*t - 49. Calculate r(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14.06. Let n = a - 0.11. Let r = n - -0.0500075. What is r rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9828, -9827, -9816, -9789, -9740?\nAnswer: -9663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -t, 0 = -15*n + 10*n + 3*t + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106693270.\nAnswer: 2, 5, 61, 174907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + 9 - (5 - (-25 + (18 - 7))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42050629 rounded to the nearest 10000?\nAnswer: -42050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-8 + 1 + (-7 + 1 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 66. Suppose 3*k - f = -2. Let u be (-3)\/(10\/(-1750)*5). Calculate the highest common divisor of u and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -715, -1155, -1595?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 320*o + 42272. Give w(-133).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 + 2.03. What is the nearest to 2\/3 in m, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 462 = -13*a - 59*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i. Let d = -12 - -15. Let g be n(d). Suppose 2*z + z = -g. What is the second biggest value in z, 0.1, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -645, -403, 33, 687, 1583?\n\"Answer: 4*x**3 + 73*x**2 - 5*x - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 - l**3 + 27290787*l + 50359790?\nAnswer: 8*l**3 - 3*l**2 + 27290787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114986.\nAnswer: 2, 1057493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 619 = -h - 0*h, -5*j = 4*h - 1041. Let l = -105 + j. Let c = 53 + l. What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = 2*x, -2*w + 3*x + 1 = -w. Let r = 158\/5 + -1121\/35. Let t be (1\/(-4))\/((-1)\/(-5)). What is the nearest to w in r, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15050722*k*u**3 - 16*k*u**2 + 65*k*u - 237*u**2 wrt u.\nAnswer: -90304332*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16256588, -16256590, -16256592?\nAnswer: -16256594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41906700 by -252450.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 4*k. Suppose -85*p + 80*p + 1210 = k. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 13 = -4*l - 7, d = 3*l + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2170453*h - 3642900 wrt h.\nAnswer: 2170453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*h + 6*h + 11*h)*(-5*h + 3*h + 4*h) - 3*h**2 + h + 782 - 782 + 2*h + 3*h**2 - 2*h as v*h + k*h**2 + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 404 - 1158?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -397\/4. Which is the nearest to y? (a) -0.3 (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -w + 2*b, 4*w - 2*w + b = 12. Let y be w\/21 - 414\/(-21). Let c be (-2)\/(0 + (-2)\/4). Solve -c*t + y = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7931, 7938, 7945, 7952, 7959, 7966?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 699*d - 2324*d - 5 to o*d + v and give o.\nAnswer: -3023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/2)*j\/(j*j**(-8\/7)*j))\/((j**(-2)*j*j)\/(j\/j**(3\/5))) assuming j is positive.\nAnswer: j**(73\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*v = 115*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283360 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88221 + 88221 + 321*d**5 + (-5*d + 2*d + 2*d)*(3*d**4 + 0*d**4 + 0*d**4) - d + d - d**5 + (3*d - 2*d**5 - 3*d)*(6 + 0 - 4) - 2*d**3 + 2*d**3 - 2*d**5.\nAnswer: 311*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/45715 and -73\/909840?\nAnswer: 37303440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000893 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1547.99001 + 1548. Let z = i - 90.81999. Let o = z + 91. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 47*k + 135. Let p be (148\/111)\/((-1)\/33). Let s be y(p). Solve 5*q + 3*d + 10 = -18, -3*d = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 1000?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/72 and -127\/166260.\nAnswer: 997560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:00 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*r**3 + 171*r**3 - 111 + 118*r**3 - 21 - 460*r**3.\nAnswer: -7*r**3 - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let i(n) be the third derivative of -n**6\/90 - 11*n**3\/2 + n**2 - 10*n. Let a(f) be the first derivative of i(f). Calculate h(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) 0.4 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 493 and 445179?\nAnswer: 445179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g - 1 = 57*g + 3. Suppose -3*m + 8 = -28. Calculate the lowest common multiple of g and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y - 1. Let x be 102\/(-561) - 13\/(-11). Let g(b) = -5*b**2 - 4*b + 1. What is x*g(m) + 3*f(m)?\nAnswer: -2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2276 divided by -569\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4471 - -4431. Sort 15, 4, 5, v in decreasing order.\nAnswer: 15, 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445727 is divided by 148568?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 7. Let r = 6 + d. Factor -2*j**2 + j**2 + 3*j**r - 2.\nAnswer: 2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*p**3 + 2*p - 2*p.\nAnswer: 320*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-1\/6)*b))**(7\/10)*(b**5)**(-49) assuming b is positive.\nAnswer: b**(-14791\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/73*(-3 + (-119)\/(-28)). Let j = i + -5527\/1168. Calculate the common denominator of j and -49\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 3*h + 63. Let r = h - -88. Calculate the remainder when 9 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1, -6, -332, -2.5.\nAnswer: -332, -31, -6, -2.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-63)*((-4455)\/(-25))\/9\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 93*y - 14. Is 16 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29679 and -82.\nAnswer: 29597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39938114921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*u + 44, 1 = 5*u - 4. Suppose -15*b = -j*b + 15. Let h = 8 - 3. Is b greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -59536682*i**2. Let m(g) = -5*g**2. Calculate j(m(d)).\nAnswer: -1488417050*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 2002?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376191 - -1.7452994?\nAnswer: 376192.7452994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 1. What is the remainder when z(-2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 3*b**2 + 5*b + 5. Suppose 3*o + 4*z + 18 = 0, -3*o - 21 = 731*z - 726*z. Calculate s(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 167 = 5*s, 0 = -4*s + 8*j - 3*j + 150. Calculate the remainder when 65 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-519)\/(-15)*1 - (-4)\/10.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6151142 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83308200 to the power of 1\/2, to the nearest integer?\nAnswer: 9127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 126.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - -148. Let z = 311 - k. What is the remainder when z is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 3*q - 4*q)*(18*q + 11*q**2 - 24*q**2 + 11*q**2).\nAnswer: 2*q**3 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -ab89 (base 15) to base 12\nAnswer: -19056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p - 1. Give t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*i - 102, -80*u + 209 = -75*u - i. Solve 21 = u*w + 62 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**3 - 132*c**3 + 7*c**3)*(-195*c + 456*c - 205*c) in the form n*c**2 + g*c**3 + y + s*c + t*c**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.027142 - 0.027075702. Round j to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 6 = 17*m. Let o = 18 + -15. Calculate the remainder when o is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033330108 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1157384148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m*n**2 - 78464764*m - 347828065*n**2 wrt m.\nAnswer: 3*n**2 - 78464764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let a = -10 - -7. Let s = 0.3 + 0.2. Sort s, j, a in decreasing order.\nAnswer: s, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/3, 6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*b - 0*b - 28, -5*b + 37 = -3*s. Let p = 13 - b. Let j = p - -5. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23199500 to the power of 1\/2, to the nearest integer?\nAnswer: 4817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 2, g: 4, d: 1, a: 1, t: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5\/2 + 55*w**4\/6 + 175*w**3\/3 + 25*w**2\/3 - 335*w\/6 - 35\/2 = 0.\nAnswer: -3, -1, -1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111083476 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 3.8. Let l = 0 + o. Which is the biggest value? (a) 2 (b) l (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3)*0 + 1. Suppose 0 = 5*c - 5*g - 20, 3*c - 4*g = -2*c + 18. Let u(s) = -2*s**c - 2*s**2 - 2*s**2 + 2 - 1. Give u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158647 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2477 is divided by 86?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992 = -71*r + 223*r + 72*r + 528 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (-5 + sqrt(125) - sqrt(125)) + 2)**2 + (sqrt(70)\/sqrt(7))\/sqrt(2) + 2*sqrt(405).\nAnswer: 7 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8360850.\nAnswer: 2, 3, 5, 139, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - r**2 - 57*r\/5 + 189\/5.\nAnswer: (r - 9)*(r - 3)*(r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1463131554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2206\/15, -0.1, -14 in decreasing order.\nAnswer: -0.1, -14, -2206\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a - 2*x - 0, x = -5*a + 10. Suppose a = -5*p - 8. Let y be 53\/5 + p\/(-5). Solve 0 = -u - 5*b - 4 - y, -b - 24 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*j + 56*j**3 - 24*j**3 + 8842 - 30*j**3 + 508*j**2 + 60*j wrt j.\nAnswer: 6*j**2 + 1016*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-24)*29 + 3\/24. Find the third derivative of 26*l**5 + j*l**4 - 19*l**2 - 25*l**5 + 16*l**2 + 11*l wrt l.\nAnswer: 60*l**2 + 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**3 - 4*j + 4. Let n be f(3). Let z be (16\/24)\/(2\/9). Suppose n = z*p + 46. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12c (base 13) in base 8?\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27538069 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 29*b**3 - 2*b**2 + 2. Let j(u) = 57*u**3 - 5*u**2 + 5. Determine 2*j(s) - 5*r(s).\nAnswer: -31*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 56 = -15*w. Put -1, w, -3 in ascending order.\nAnswer: w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/45 - (-4)\/4. Is 0 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**46*v)\/(v\/v**(-24)))**24 assuming v is positive.\nAnswer: v**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 1479.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - 65?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 2.4. Let k = -93.8 - j. Let f = 91.00000082 + k. Round f to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413.7975968 + -409.0791. Let m = z + -2.7185. Let n = m + -2. Round n to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5189922 rounded to 2 dps?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 5614548.\nAnswer: 44916384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let n(b) = 142*b**3 + 6*b + 7. Let d(f) = -2*h(f) - n(f). What is the second derivative of d(i) wrt i?\nAnswer: -852*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 11, e: 5, f: 2}. What is prob of sequence ea?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -457967 - -1?\nAnswer: -457966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001110101011 + -101110110100101?\nAnswer: 110011000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = -d - 498. Let o = d - -1713\/2. Let j = 72023\/12336 - 20\/771. Calculate the common denominator of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4656, 3864, 3072, 2280, 1488?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 85*g**2 + 200*g + 1500.\nAnswer: 5*(g - 10)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 2 - (104 - 112).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + 0.2. Let w = 0.32 + -0.23. Let s = w + 0.41. What is the second biggest value in s, -4, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, o: 7}. Give prob of picking 4 o.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 1\/4, -1882, 0.1, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/4 + 387*z**3\/4 - 801*z**2\/4 - 8887*z\/4 + 5835 = 0.\nAnswer: -389, -5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**3\/3 + 1. Let n be 4\/10 + (-26)\/(-10). Let d(c) = n*c + 4 - 4. Determine j(d(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + h + 15 = 0. Let w = 22 + h. Suppose -w*d + 27*d = 6. Solve -d*u + 15 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 + 8 - 23 - 8*k**3 in the form n + r*k + f*k**3 + x*k**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319683 greater than or equal to -0.272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288257144 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -10*f + 24. Let t(k) = 3*k. Let m(b) = 10*b + 5. Let v(r) = -m(r) + 4*t(r). Give -2*c(g) - 11*v(g).\nAnswer: -2*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -31*d**2 - 7*d + 2. Let m(n) = -n. What is -6*m(y) + o(y)?\nAnswer: -31*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4\/51 (c) 0 (d) -93 (e) -14 (f) -35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*l**3*w + 19*l**2*v*w + l**2*w + 107*v*w + 2*w - 4 wrt l.\nAnswer: 114*l**2*w + 38*l*v*w + 2*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/44463555 and -43\/223716.\nAnswer: 177854220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 6*h - 6*h)*(3 + h**3 - 3).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 5*b - 2969, -3*s = b - 2224. Let v = s + -3723\/5. Find the common denominator of 17\/11 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = 586515 - 5075344. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**7\/1260 - i**4\/6 - 5*i. Let z(k) be the third derivative of r(k). Let t(q) = -8*q**2. Give t(z(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abngn. Give prob of sequence ba.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j - 93. Let f(m) = -24*m - 6. Calculate the remainder when f(-6) is divided by h(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = -c, 2 = 2*c + 3*d + 9. Suppose -3*v = -4*w - 592, 396 = 2*v + 2*w - c*w. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171*4\/(-6)*(-42)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 - -116 - (-44733 + 1 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -10 + 64 + -55\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + 110 + (0 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) 1 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -427.0252 + 427. What is m rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 31. Let u(m) = 2*m + 30. Calculate 3*j(v) + 4*u(v).\nAnswer: 2*v + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5681*w + 287*w - 784*w.\nAnswer: -6178*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r. Solve 2*q - 9 = 5*i - q, r = 5*i + 3*q - 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 21*t + 84. Let d be j(-4). Let a(y) be the second derivative of 1\/210*y**6 + 0*y**3 + 1\/42*y**4 + d*y**2 - 6*y + 3\/140*y**5 + 0. Factor a(r).\nAnswer: r**2*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/621)\/((-2)\/(-3)). Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -43. Let i = -10 - -16. Suppose -l = -i*w + 3*w. Solve 4*c = w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, u: 9, d: 6}. Give prob of picking 4 d.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 10. Let w(l) = 2*l. Let p = -355 + 351. Let k(v) = p*w(v) - a(v). Determine k(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1903, -1901, -1899, -1897?\n\"Answer: 2*f - 1905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 + 9\/((-31374)\/912). Let q = 0 - -0.1. Is m smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) 0.384 (c) -4.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 41. Let y = 2.1014 - 0.1014. What is the smallest value in 1\/4, 0.1, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, k: 2, c: 1}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4745.\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 18*j**2 + j - 15. Let l be p(18). Solve -2 = 3*i + 4*b, l*b - 2 = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h + 15, 4*z - 5*h - 31 = 0. Solve 32 = -4*c - 4*o, 2*c - 7*o - z = -5*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0*n**2 - n + 25\/4*n**4 + 5\/3*n**3 - 134 + 1\/10*n**5. What is the second derivative of m(f) wrt f?\nAnswer: 12*f + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0 + b**2 + 1\/8*b**4 - 1\/6*b**3 + 0*b. What are the prime factors of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-8)\/100*1). Let k be (-7 - -2)\/((-375)\/(-170) - 2). Are k and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a277 - 2a?\nAnswer: a248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*1*(-1 + 1). Suppose d = 9*q - 8*q - 17. Suppose -q*x + 18*x = 307. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52038\/153 + 5 - (-2)\/(-17) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 31 = v, 3*f = -2*v - 173 + 111 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 at least as big as -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088 = -212*l + 452 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7475 - -3924377\/525. What is the common denominator of i and 89\/8?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 20, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 divided by 1109.\nAnswer: 257\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*d**3 + 139*b*d**2*q - 2370*d**3*q wrt b.\nAnswer: -d**3 + 139*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 580163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 33*38\/1045. Suppose 2\/5*f + p + 1\/5*f**2 = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 f when four letters picked without replacement from ffffzffffzfffffffff?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + 220896\/15. Let g = 21753 - v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(242) - (sqrt(242) + sqrt(242)*-2)) + sqrt(242) + sqrt(242))**2 - 3*2*sqrt(242).\nAnswer: -66*sqrt(2) + 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301 - 5133063?\nAnswer: -5132462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 equal to -1630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 357 - 340. Solve -20*v + i*v = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2))\/t*t\/((t*t*t\/t**(-1\/22))\/t)*t*t)**(-16)*(t**(1\/5)*t**(-8)\/t)\/(t**(-3)\/t**(1\/6)) assuming t is positive.\nAnswer: t**(3661\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = 2*y - 85. Suppose 92 = -q - q. Let v = q - y. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -10 + 34. Let z = c - -22\/3. Suppose z*v**2 - 10\/9*v - 2\/9 = 0. What is v?\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-32)\/40)\/(2\/(-5)). Factor -f + 1\/2*f**q + 1\/2.\nAnswer: (f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -31 - (0 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1814385, -3628753, -5443093, -7257393, -9071641?\nAnswer: -10885825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:50 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1189 in 16, -5, 41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 42. Let m be r(-11). Let d = 68 - m. Put -5, d, -8 in increasing order.\nAnswer: -8, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 947, 2882, 6463, 12194, 20579, 32122, 47327?\nAnswer: 66698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -3975*z**4\/4 - 212*z**3\/3 - 212*z - 6334. Let w(q) = -56*q**3 - 3*q**2 - 3. Calculate -3*g(j) + 212*w(j).\nAnswer: 53*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11555\/14656 + 41\/229. Find the common denominator of -115\/14 and j.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42088 - -3?\nAnswer: 4208b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggsggrrgg. What is prob of sequence gsrg?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7115, -132, -16 in increasing order.\nAnswer: -132, -16, 7115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 19 = 7. Calculate the lowest common multiple of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111898 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0 + 0)*(-x + 0 + 0)*(-37 - 107*x + 37 + (-1 - 2 + 2)*(1 + 2*x - 1) + x - x - 3*x) to h + b*x**2 + j*x**3 + s*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a**2. Let q(u) = -150*u**2 + 2. Calculate l(q(i)).\nAnswer: -292500*i**4 + 7800*i**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 250 = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 2\/3, -159.\nAnswer: -159, 2\/3, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10253*u + 193 + 10230*u + 212.\nAnswer: -23*u + 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -0*r + r. Let n = r + -163\/2. Is n at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h - 9. Let k(v) = 8*v**2 - 12*v - 94. Determine -2*k(b) + 20*q(b).\nAnswer: 4*b**2 + 4*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 35\/6 in descending order.\nAnswer: 9, 35\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 3 + 2*m - 4*m - 2. Let c be u(-1). Suppose 0 = 5*y - c - 8. Solve j = y*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1231*y - 1309?\nAnswer: -1231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27759 is divided by 347?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 47*a - 836 = 0, 0 = 40*u - 42*u - 2*a + 46 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 35 - (-3)\/(-3). What is the units digit of (-8)\/(-20) + u\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1368 by 342.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + 0*a)*(-130 + 190 - 94)*(-8 + 7 - 14).\nAnswer: 510*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 9, 0.98, 0.3, 3, -4, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7443057 + -12826172. Let f = y + 8113115. Round f to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 5, 2\/3, -0.4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 155.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2609541 and -18?\nAnswer: 4.6971738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*g = -14, 0 = -3*v + 6*g - 2*g + 59. Let s be 2\/v - 18\/(-52). Let p = -198 - -1780\/9. What is the nearest to -0.2 in s, -3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*m + 32, 2*c - 6*m + 4*m - 52 = 0. Let i(y) = 4*y - 44. List the prime factors of i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40388.29g in tonnes?\nAnswer: 0.04038829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11880?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 5*o + 2*u - 6, u = -5*o + 14. Suppose 12 = o*c + 8. What is the least common multiple of c and 10\/(-4)*(-7 - (0 + 1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.014\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let v(h) = 278 + 3944*h**2 + 1576 - 3942*h**2. Determine c(v(j)).\nAnswer: -4*j**4 - 7416*j**2 - 3437316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38765 - -38768. Factor -8\/5*u + 1\/5*u**2 + j.\nAnswer: (u - 5)*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4*4\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2358748 is divided by 2783?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 33316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*v**4\/7 - 6369*v**3\/7 - 54405*v**2\/7 - 11442*v + 1008 = 0. Calculate v.\nAnswer: -168, -7, -2, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.08 - -25.2261. Round m to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266001553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.7, 1\/2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/((-5)\/(120\/(-96)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i - 1. Let l be j(5). Calculate the common denominator of 1\/25*(-4530)\/l and -77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438270181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7 = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, s: 5, a: 3, j: 1, h: 3}. What is prob of picking 1 h and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 10*h**2 - 2*h + 14. Does 3 divide p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -256 + 251 - (-11 + 2 + -1). Suppose 0 = f - 1 + 2. Let p be o - 10 - f\/(-1). Let c(g) = g**2 + 7*g + 4. Determine c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1313\/23 - -57. Suppose -4*w + 101 = 93, l = 5*w - 8. Which is the second biggest value? (a) 4 (b) -2\/3 (c) k (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 289999837 from 3882.\nAnswer: -289995955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-2054 + 2054 + 31*z)*(z + 2*z + 0*z).\nAnswer: -93*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50+-8482\nAnswer: -8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - l + 0*l)*(4 - 2 - 3) - 1050 + 1050 + 215*l + (3 - 4 + 2)*(2*l + 0 + 0) - 2*l + 3*l + 0*l - l + 0*l + 3*l to the form g*l + s and give g.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3 = 0, 0 = -j - 33*z + 36*z - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*y**3 + 790*y**3 + 562*y**3.\nAnswer: 1051*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 74. Let d be (30\/y)\/(-6) - -2. Is (752*1 - 2) + d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247 + 410. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113590546.1201 + -4080.8799. Let y = p - -113594628.70000018. Let g = y - 1.7. What is g rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 4*i**3 - 4*i**3)*((-2*i + 0*i + 0*i)*(-7 - 4 + 3) + 1 - i - 1).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - (sqrt(864)*-1 - sqrt(864))) + sqrt(864))\/(sqrt(128)*-2).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -4, 87, 3925, 0 in decreasing order.\nAnswer: 3925, 87, 5, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4104 + 784. Let y be h\/(-24) + (-2)\/(-6). Solve 5*z + 5*n + 0 = -10, 5*z - n + y = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, v: 2, r: 5, n: 3}. What is prob of sequence gc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:44 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1211237 rounded to 3 decimal places?\nAnswer: -8.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let v = i - 2. Let n = 0 - v. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 48*k + 1933. What is g(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let q(s) = 12*s + 10. Let t(l) = 5*l**2 + 10*l + 4. Let p be t(-1). What is p*q(z) + 10*v(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 33*v**2 + 40*v - 164. What is the hundreds digit of g(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 266, 397, 528, 659, 790?\n\"Answer: 131*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1306*d**2 + 342*d + 295*d**2 + 999*d**2 to q*d + a + b*d**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s**2 + 3*s - 3*s - s**2 to the form h + c*s + o*s**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1723, -1856, -1973, -2068, -2135, -2168?\n\"Answer: t**3 + 2*t**2 - 146*t - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 13) + 11 - -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145893385 to the nearest integer?\nAnswer: 12079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297824 smaller than 3297825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000395550167 to 7 dps.\nAnswer: -0.0003956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 8*g**2 + 7*g + 2. Let u be i(-7). Is (5 - -362)*2\/u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2493.5 - 2416.576. Let s = 0.076 + g. Let k = 76.65 - s. Round k to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(49)\/sqrt(7) + 2 - sqrt(7)) - sqrt(7))**2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-15)*(-188 + 193). Let k = 1.8 + -2. Let t = 0.2 + k. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**4 + 3*i**2 + 1. Let a(j) = 73*j**4 + 702*j**2 + 3. Let c(t) = a(t) - 3*l(t). What is the third derivative of c(d) wrt d?\nAnswer: 1536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -28*w**2 - 88*w + 13. What is o(-4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*d**4\/11 - 874*d**3\/11 - 31274*d**2\/11 - 96084*d\/11 - 2880 = 0. What is d?\nAnswer: -22, -3, -3\/8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9 = 3*r, -53*p + 49*p - 18 = -2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*c = 73, h - 6*h + 57 = -2*c. Let z = h + -9. What is the greatest common divisor of z and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 220, 341, 470, 607, 752, 905?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*n - 13297 = 1491 - 568 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19759 is divided by 217?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/11 - 142612*x**2\/11 - 855618*x\/11 - 1283400\/11 = 0.\nAnswer: -71300, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k + k**2 + 5*k + 5*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5177.639mm to meters.\nAnswer: 5.177639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 23*q**2 - 36*q + 307. What are the prime factors of v(-18)?\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -222, 12 in ascending order.\nAnswer: -222, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/12 - 11*c**2 - 46*c. Let t(n) = -15*n**2. Determine q(t(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Let l be -3 - -5 - (0 - q). Suppose 2*i - 8 = -0*i. Put i, l, -4 in decreasing order.\nAnswer: i, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -3*q**6 + 1248*q**5\/5 - 5612*q**4 + 28288*q**3\/3 - 4624*q**2 - 591. Factor f(n).\nAnswer: -2*n*(n - 34)**2*(3*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 2. Let q be x(1). Let j(m) = m**3 + 2*m**2 - 3*m + 4. Give j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Let p(c) = 4*c - 10. Give -8*h(w) - p(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(sqrt(7) - 3*sqrt(28) - sqrt(7)) - (-2 + (1 + sqrt(567)*1 - sqrt(567) - sqrt(567) - sqrt(567) - sqrt(567))).\nAnswer: -63*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24048*k*u - 164646*k - u**2 wrt u?\nAnswer: 24048*k - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 32131131?\nAnswer: 32131203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27028, 108123, 243284, 432505, 675780, 973103, 1324468?\nAnswer: 1729869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384 - 23*a**3 + 384)*(6*a - 5*a - 13*a) + (-3*a**2 + 9*a**2 - 2*a**2)*(-4 + 4 - 5*a**2).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57879*f**4 + 2*f**2 + 110372*f wrt f.\nAnswer: 694548*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 22404*h**2 - 23815*h**2 + 12469*h**2.\nAnswer: -33750*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 - -73. Let v(t) = 5*t**3 - 2*t**2 + 2. Let z(y) = -y**2 + 1. Let g(m) = a*z(m) + v(m). Let g(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 173. Suppose -64*z = -v*z + 4120. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -11*k**5\/6 + 33*k**4\/8 - 824*k**2. Let z(o) = -o**2 + o. What is -2*i(c) + 198*z(c)?\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (1\/2)\/((-6)\/(-948))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -1) + (-31 - -38)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) 0.1 (c) -8 (d) 1\/152654 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 4, t: 1, h: 4, q: 7}. What is prob of picking 1 r and 2 q?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -61*x. Let h(w) = 6*w**2. What is h(c(s))?\nAnswer: 22326*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let m(d) be the third derivative of -d**7\/2520 + d**5\/10 - d**4\/6 - 5*d**2. Let f(y) be the second derivative of m(y). Give q(f(n)).\nAnswer: n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 - 5*r**3\/2 - 5*r**2 + 4*r. What is the remainder when 68 is divided by k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 5. Let h(l) = -l. Let n(p) = 3*h(p) - r(p). Let u be n(6). Which is the closest to u? (a) -1\/5 (b) 2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p. Let v(n) be the second derivative of 13*n**3\/6 + 1907*n. What is -6*v(y) - 17*w(y)?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d - 3*d)*(29693*d - 29693*d + 108*d**2) + (-2*d**3 + d - d)*(-1 + 1 + 1).\nAnswer: 214*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.392, -4, 2, 1\/2, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712083 is divided by 334?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1712 or -333863\/195?\nAnswer: -333863\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 881*f**2 - 4384*f - 3. What is k(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 167?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4587310 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(204) - (6*sqrt(204)*3 - sqrt(204)))\/(sqrt(432)*2).\nAnswer: -4*sqrt(17)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**3 - d**4 + 0*d**4 - 3*d**4.\nAnswer: -4*d**3*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 215 + -882. Let b = -664 - y. Solve 8\/9*u**b - 2\/9 + 4\/3*u - 2*u**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edxwemdbwdedexd. What is prob of picking 1 m and 2 e?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*u + 305 + 13*u + 138*u**6 + 5*u**3 - 305 - 17*u**2 wrt u.\nAnswer: 16560*u**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1379, 1392, 1421, 1472, 1551, 1664, 1817, 2016?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 54*x - 9515. What is c(177)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621639290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 2\/17, -1\/9, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626559 at most as big as 2626586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135276704?\nAnswer: 2, 4227397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488796 is divided by 414780.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*w**3 - 14475*w + 14475*w)*((-1 - 3 + 0)*(-w - 1 + 1) - w + 3*w - w - 5*w + 2*w + w).\nAnswer: 321*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(396) + (sqrt(396) + 0)*-4)**2)*2 - ((-5*(-1 + sqrt(396)))**2 + (sqrt(396) + sqrt(396) + (-1*sqrt(396) - sqrt(396)) + sqrt(396) + 5)**2).\nAnswer: -3220 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(-1*sqrt(18)\/sqrt(2))*1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*g**2 - 5*g wrt g.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-235)\/75 - 2\/(-15). Suppose 0*w + w - v - 5 = 0, 5*v = -5*w + 5. Suppose 4*l - 2*a = -4, w*l + 13 + 0 = 4*a. What is the closest to 1 in p, l, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77))\/sqrt(7))**2 + -2 - ((0 + sqrt(99))**2 + -2)) + -6*((sqrt(121) + sqrt(121)*1)\/sqrt(11) - (sqrt(11) + sqrt(11)*3*4)).\nAnswer: -55 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 3 = 31*x. Let v(d) = -2*d. Let j = -2 + 7. Let h(t) = -3*t**2 + 6*t. Let k(g) = -g**2 + 3*g. Let u(n) = j*k(n) - 2*h(n). What is x*u(q) - 3*v(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y)*(-92 - 256 + 7).\nAnswer: -341*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 104, 353, 836, 1631?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + 12?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (1 + 6)) + 1 + 2 + -27\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202*b + 473 - 473)*(3 - 3 - 3 - 3 + 1 + 1 - 2 + 3 - 3 - 3 - 2 + 7 + (-2 + 2 - 1)*(-6 + 3 + 4) - 3 + 2 + 0) to o*b + h and give o.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*s - 2*s = -21, -s + 15 = 4*o. Suppose 0 = 3*n - 3*q - 6, 14 = 2*n + 3*q - 5. Find the second derivative of -u - 2*u - 3*u**5 + o*u**n wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a kilogram in grams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 - (-24 - -159) - (1 + 2 - -16)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 2*p + 2. Let a be o(1). Solve a*t + 21 = -2*t - 5*n, 2*t - 4*n - 22 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50868641*q**2 + 4*q + 1160225?\nAnswer: 101737282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 688 = 4988. Calculate the lowest common multiple of q and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -8. Solve -2*a - 3*a + p = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -41. What is the first derivative of -2*a**3 + 8*a**3 + 1 + 2 + s wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7 - 5. Suppose -12 = -4*a, s*a + a = w + 15. Solve w = -2*f + 2*k - 4, -3*f = -6*f - 3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 1864255250*g**3 - 1864255251*g**3 - 2*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 174485.5l?\nAnswer: 174485500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let o(u) = -106545*u**2. Determine b(o(h)).\nAnswer: 426180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011010 + 1000001?\nAnswer: 10011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6847430 and 22282.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15548 and 1092?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than -3472008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1167961455 and 1530?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384546?\nAnswer: 2, 3, 64091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v**2 - 6*v + 6 + 3\/2*v**3 - 3\/8*v**4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 81*n**2\/2 - 90. Let q(y) = 4*y. Calculate l(q(r)).\nAnswer: 324*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let f(a) = 11*a**2 - 2*a. Let k(i) = -70*i**2 + 5*i**2 + 6*i + 7*i. Suppose 9 - 7 = 29*b + 60. Let p(z) = b*k(z) - 13*f(z). What is p(x(w))?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - o - 7 = 0, 35*o = -2*m + 80*o - 46*o - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-2*sqrt(2592) + sqrt(2592)))\/(((sqrt(54) - (sqrt(162)\/sqrt(3) + sqrt(54)))*1)\/sqrt(9)).\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 185*o**2 + 2*o + 3. Let a be x(-1). Let q = -116 + a. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**5 - 980*x**4 - 17205*x**3 - 68330*x**2 + 124900*x + 177000 = 0?\nAnswer: -177, -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -154508 and -10056913.\nAnswer: -10211421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/11 + -387\/22. Let h = -599\/34 - t. What is the nearest to 1\/4 in 0.2, h, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.56 and -875127243?\nAnswer: 875127249.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d\/((d*d**0)\/d)*d)**(7\/6))**(-2\/155))**(2\/23) assuming d is positive.\nAnswer: d**(-14\/2139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67072966890 and 0.2?\nAnswer: 67072966889.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -8*l + 764. Let f = -134 - l. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 0*l. Suppose 5*y - 5 + 15 = 5*a, -l*y = -2*a + 7. Which is greater: -5\/9 or y?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(126\/(-35)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4 - 21*l**4 - 23*l**2 - 13*l**2 - 19*l + 14*l - 5*l**3 - 6*l**4 wrt l?\nAnswer: -552*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19435727711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 51, 222, 605, 1284, 2343, 3866?\n\"Answer: 14*t**3 - 20*t**2 + 5*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (7 + -1 + -3 + 169). Let o = z - -270. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus 18969?\nAnswer: -18989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 - 5 = -3*n, 0 = -2*v + 5*n - 15. Which is bigger: v or -4\/309?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01692180411 to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 664047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-four fifths of a hour?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w**2 - 5*w + 1. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 + 7*t + 8*t - 16*t + t**4 to v + x*t**3 + u*t**4 + a*t + g*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 370528 or 370529?\nAnswer: 370528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 - 2*p**2 + 4*p + 11. Let n be l(1). Put n, -0.4, 0.3 in ascending order.\nAnswer: -0.4, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 36. Let y be ((-4)\/(-3))\/(j\/38). Factor -16\/3*h + y*h**2 - 8\/3 - 14\/3*h**3.\nAnswer: -2*(h - 2)*(h - 1)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*w = -63 + 286 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - l - 7 = -3*v, -4*v + 5*l - 1 = 0. Let j be 9\/v*1*2. Suppose 4*f + 16 = 4*b, -2*b - b - j*f + 30 = 0. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1106 - 605. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3135203*k - 269071*k - 1643370*k.\nAnswer: -5047644*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2.9, 2, 606?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146924783 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v + 4 = 0, -4 = f - v. Let y be 9\/(-36) + 9\/4 + f. What is the nearest to 1 in 0.2, -2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*x + 687*x - 375*x.\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 41*k - 6848 = -2*c, 0 = -5*c + 3*k + 17110. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 3088369*i\/3 - 3088370\/3.\nAnswer: (i - 3088370)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g + 0 + 0)*(-194*g**2 + 961*g + 193*g**2 + 167*g) to w*g + p*g**2 + c*g**3 + q and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250678256 by -62669564.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g + 79. Calculate l(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21302 divided by -10651.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o**2 + 9*o + 29. What is a(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2574640.1 times 4\nAnswer: -10298560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:30 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**26*(f**(-7)*f)\/f*(f\/(f\/(f\/f**(3\/4))))\/f)**(-2\/29) assuming f is positive.\nAnswer: f**(197\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*g = 3 - 0, g + 3 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {h: 6, o: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*p + 21, 2*p - 11 = 2*g - 5*g. Suppose 34 + 46 = g*s. Calculate the remainder when ((-62)\/(-4))\/(3\/6) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -256 + 315 - 11295\/195.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594702688 divided by 451216.\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 3 = -20*z - 112 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, m: 2, e: 1, t: 2, x: 1}. Give prob of sequence emg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and -14*114\/(-12) + -1.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 26. Let l = p + 15. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.30677 * -1.\nAnswer: 0.30677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101614, 203288, 304962, 406636?\nAnswer: 508310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2379\/(-4) + (10 - 205\/20). Let c be 28\/((s\/(-10))\/7). Which is bigger: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/5 - 453926*y**2\/5 - 907866*y\/5 + 272358 = 0. Calculate y.\nAnswer: -3, 1, 226965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wee when three letters picked without replacement from eeeeeewe?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475 divided by -295?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p - 69*p + 1043*p - 181*p.\nAnswer: 723*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/38970669 and -17\/108?\nAnswer: 1402944084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -28300 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*12\/(-44). Let a = 6 - 11. What is the smallest value in a, 0.3, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let s = 239 + -269. Let z = -31 - s. Which is the nearest to z? (a) 3 (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 11*z**2 + 150*z + 32. What is a(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000199291449 rounded to seven dps?\nAnswer: -0.0001993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -g + 5, -5*l = -0*g + 2*g - 10. Let r be 15\/(-3) + (8 - l). Solve r = -3*o - 0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -84*u**2 + 29. Let a(w) = w**2. Give a(v(p)).\nAnswer: 28224*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 6. Let y be t(7). Let r be -1 + (1 - 0 - y). Let w be (2 - 0) + -2 + 0. What is the third smallest value in r, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5957.97 nanograms in grams?\nAnswer: 0.00000595797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 34*c**3 + 2*c**2 - c - 33. Let g(t) = t**3 + t**2 + t + 1. Let a(f) = -2*g(f) + s(f). Find the second derivative of a(j) wrt j.\nAnswer: 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/215)\/(256\/(-82400)) + (12 - 9). Let s = -0.1 - -0.2. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452922305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -722, -724, -728, -734, -742?\n\"Answer: -o**2 + o - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 117502143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l - 2. Let x(m) = 5*m**3 + 5*m**2 - 8*m + 13. Let u(c) = -x(c) - 6*z(c). What is u(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 15*m + 11 = -5*s - 8, 10*m + 3*s - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1136 + -1133)\/(((-38)\/39 + 1)\/(1 - 2)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**5 + 0*f**5 + 3*f**5 + (3*f**2 - 3*f**2 - f**2)*(0*f**3 - 5*f**3 + 3*f**3) + 505*f**3 - 505*f**3 - 29*f**5 - f**5 - 4*f**5 + 2*f**5.\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/1423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2)\/8*0. Suppose -3*x - 5*a + 37 = v, -4*x + a = x - 15. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(156\/143) - -149.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -225, -361, -535, -753?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 3*o + 2. Suppose -3*w - 8 + 32 = 0. Suppose 2*i + 2 = -j, 2*j - w = 6*j - i. What is d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9840)\/(-27) - 8\/18. Suppose 2*l + 5*r = 321, -5*l + z = r - 404. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 18*j**2 + 72*j + 135. Is w(38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqis when four letters picked without replacement from {s: 2, q: 3, g: 1, i: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/278 and -9\/1978.\nAnswer: 274942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1318*n**2 + 2648*n**2 - 1327*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41877 is divided by 5975.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-11) + (-25908)\/8382 - (-14 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -5 - (4 + -1). Suppose r*j - 11 = 74. Let u = j + -9. Are u and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1385 (base 11) to base 6\nAnswer: 12135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 64 = -70. Put -20, 1, k, -4 in ascending order.\nAnswer: -20, -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2048 + 6440 = 0. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10448 - 18333 = -1086*r + 11401 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 1248*g**2 - 2*g - 2*g.\nAnswer: -1248*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 5928104.\nAnswer: 1\/5928104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(832)*-2 - sqrt(832)) + -2 - (-4 + sqrt(832) + 1)) + -4)**2.\nAnswer: -128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*r - 10, 2 - 29 = -2*r + 5*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*g + 341*g - 64 = 0. Solve -160*m + g*y - 10 = -162*m, -5*m - 3 = -4*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 498.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 901719765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3833*w**2 - 3833*w**2 + 68*w**3 - 14*w**3.\nAnswer: 54*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*c**2 + 22*c**2 - 6*c**2 to t + u*c**2 + o*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 48*a + 5*a.\nAnswer: 58*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -615 + 419. Let x = h - -438. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*v = 162, -873449*u - 602 = -873434*u - 2*v for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4175160 divided by 2087580\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -15 - (0 - (5 - 7))) + 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (33 - 11) - (5 - 3 - 22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-16)*-1706 + 54\/36?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 212 + 14 = 650. Let w be 202 + -2 + 0 + 1. Let c = f + w. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1387 + -1370. What is the remainder when 339 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 447\/21 - (-4)\/(-14). Suppose -4*j - v = -7*j + 3, -2*j + 5*v + 15 = 0. Solve 4*y + 19 = -3*i, j*i - 5*i - r = 4*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528316540 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 2*y - 64. Is 0\/(2 - 6) + y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 357*g + 1 - 2463*g - 10360*g - 1 to a + j*g and give j.\nAnswer: -12466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-2.6.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17057 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -6, -23, -50, -87, -134, -191?\n\"Answer: -5*x**2 + 8*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -111. Which is smaller: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12340*d - 12333*d. Solve 11*n + 229 - 185 = d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*v - 155, 204 = 4*v - 3*s + 2. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**39\/n))\/(n*n*n\/(n**(-1\/40)*n)))**(-4\/9) assuming n is positive.\nAnswer: n**(1561\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - (-3 - -4)) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31507089 to the nearest integer?\nAnswer: 5613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/98 and 69\/104.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1467250103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let o = 92675 + -92674.97. What is the biggest value in o, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*59\/(-2124)*60\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6828.641m?\nAnswer: 682864.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 4, -0.3, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4097888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77230334.\nAnswer: 2, 38615167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*b + 121 + 33, 5*g + 2*b = 266. Calculate the remainder when g is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9599 - 9602. Which is the nearest to 0.4? (a) -51 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*s**3 + 634*s**3 + 649*s**3.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 48*r + 4. Let d(x) = -5*x**2 - 52*x - 4. Calculate 6*d(n) + 7*w(n).\nAnswer: -2*n**2 + 24*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 47 - 7 = 0. Let s be ((-4)\/z)\/(-4*6\/(-144)). Solve 2*i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 2*a = 0, -3*a + 6*a = 2*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/4 - 4*v**3 - 15*v**2\/2 - 25*v - 10. What is the units digit of l(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (14 + 16 + -12)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2 + 25*u + 452. Let h(a) = -15*a**2 - 44*a - 904. Determine 4*h(i) + 7*l(i).\nAnswer: -4*i**2 - i - 452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 39.676 times -0.01\nAnswer: -0.39676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 14, 10, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d + 1. Let o(y) = y**3 + y**2 + 5. Let q be o(0). Let j be m(q). Calculate the greatest common factor of j and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3176 + 6936 = 144*v - 688 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 21. Let x(o) = 2*o**2 - o + 3. Let f be x(-3). Let b = f - -8. What is the highest common divisor of b and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7235985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -27511*u + 466810. Determine f(17).\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/4))**(-3\/35))**20)**(-26) assuming u is positive.\nAnswer: u**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 772049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebb when three letters picked without replacement from bbbebebbeb?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:59 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 171233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 467*a**2 + 12 + 465*a**2 as m*a**2 + z*a + n and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - 3*z)*(-2 + 2 - z + (2*z - 2*z + z)*(1 + 2 - 4) - z + 2 - 2).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.131576.\nAnswer: -0.65788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = -12. Suppose s + 0*s = 5*z + 551, c*z + 436 = -4*s. Let r = -28 - z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-3 - -1) - -66. Suppose 3*c + d = -462. Calculate the remainder when -3 + c\/6*-2 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711754 is divided by 7492?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/12 - -1\/3. Which is the closest to 0? (a) -4\/9 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s + 0*s**2 + 0*s**3 + 1 + 1\/4*s**4. Let o(k) be the first derivative of a(k). Let n(w) = 2*w**2. What is o(n(u))?\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 22. Suppose -6*l + 12*l = m. Suppose -3*f = -g - 361, -g + l = g. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6381 + 0.0211. Let f = d - 0.19. Let j = -0.043 + f. What is j rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3803600 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 370412?\nAnswer: 3704120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2 + 2)*(-2 + l + 2)*(2*l + 0*l + 2*l)*(71*l - 46*l + 52*l)*(-2*l - 3*l + 4*l).\nAnswer: -308*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -20. What is the remainder when 39 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:42 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(((-4)\/(-46))\/(-2)). Does 8 divide p\/(-12) - (-9)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 2724916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25309 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*q + 10 = 0, 2*q - 8 = -0. Let i = 1 - z. Let x be (-6)\/(i\/(-15) - 2). Solve -o - x = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 7*n - 2. Let t be x(6). Let f = -2 + t. Let u = 14 - f. Solve -5*p + u = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) 156 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 2*b + 2. Let s be q(2). Find the third derivative of 7*a**2 + 19*a**6 - a**s - 17*a**2 wrt a.\nAnswer: 2280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 645472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(8)*2) + sqrt(39) + sqrt(39) + sqrt(2496) + sqrt(2496) + sqrt(2496)*-2 + sqrt(2496) + sqrt(2496))\/((-1*sqrt(300) - sqrt(300))*1)*2 + 4.\nAnswer: -37*sqrt(13)\/20 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2407 and -1380.\nAnswer: -1378.7593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 + 48516133*o**3 + 29343*o**2 + 656*o wrt o?\nAnswer: -24*o + 291096798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 10*f + 11. Let u(r) = -r**3 - 3*r**2 + 5*r - 7. Let h be u(-5). Is y(h) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3 - 1. Let o = -3322 + 3321.5. Let u = -17 - -35\/2. Which is the closest to w? (a) 1 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (5 - 27)) + 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 + 13 = 3*q. Suppose 4*b + q = 8*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5814 divided by 17\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*l + 278 + 94 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 388, 873, 1552, 2425?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 226 and -83912.\nAnswer: -18964112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 2*f**2 - f - 5. Calculate s(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.01, -0.166, 0.7, -0.0497?\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.2625 years to millennia.\nAnswer: 0.8452625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from gvvzvvvvnvqvvggvqnv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -33. Calculate the smallest common multiple of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -3*g**2 + 0*g**3 + 0*g + 1\/24*g**4 + 0. Let f(s) = 3*s**2. Give o(f(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 96. Let s be ((-2)\/5)\/(3\/a). Let j = 17 + s. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*p**2 + 2055*p**3 + 2102*p**3 - 3967*p**3 wrt p.\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -832, -1658, -2482, -3304, -4124, -4942?\nAnswer: -5758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445 - -2027. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2704, -3290, -3878, -4468, -5060, -5654, -6250?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-476)\/17*6\/(-4). Let o = -31 - -45. Calculate the highest common divisor of b and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647840905 to the power of 1\/3, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3383 and 3251262?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 396 - 396 - 2*v**2 - 37*v**3 - v**4 + v**2 + 2*v**2 as w*v**2 + g*v + o + x*v**4 + c*v**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1758328 and 181896?\nAnswer: 5274984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 746540.9l to millilitres.\nAnswer: 746540900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -333? (a) 6 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -3, -1 in descending order.\nAnswer: 127, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.7 + -2.7. Let y = -122.1 + 129. Let t = y - c. Which is smaller: t or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 4*t - 24, 25*s - 5*t = 20*s + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from xxxxxzxxgzzzzggxxxg?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148303, 296780, 445273, 593788, 742331, 890908, 1039525, 1188188?\nAnswer: 1336903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let j = 14760 - 14758. Let p(l) = 14*l - 2. Calculate j*u(a) - p(a).\nAnswer: -12*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.0487, -1, -0.06, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/(-5))\/(24\/440). Let u = l + 857\/24. Calculate the common denominator of -9\/5 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*9\/(-6). Let l be (-1)\/(-1)*(f - 0). Solve -3*q - l*c = 4, -4*q = -0*q - 3*c + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465604075 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -728 - -733. Suppose 3884 = a*f - 2*k, f + 2*k + 163 = 947. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = -36*m - j - 305, -3*j + 411 = -4*m. Suppose -3*v - v + 3*b - 417 = 0, 0 = 3*v + 2*b + 300. Is v at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/3 - 173\/33. Which is the smallest value? (a) r (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 8512.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11111101100011101?\nAnswer: 11111101100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -385, -376, -367, -358, -349, -340?\n\"Answer: 9*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from ppppppppnppppppppppp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11211 + -214044?\nAnswer: -230310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -448 or -0.1?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let a = -278 - -38. Let q = a + 243. What is the closest to x in -1\/3, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(0*l + 2*l - l)*(-5 - 12 + 7)*(3 - 3 - 2*l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 + a**3\/2 + 10*a**2. Let c be l(1). Let -2\/5*u**c + 2\/5*u**3 + 0 + 0*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/3) + 1\/42*-114?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 28 - 235*l**2 - 47 as k*l**2 + j*l + z and give k.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 18*o + 31. Let u be g(-19). What is the second derivative of u*j - 25*j**3 + 118*j**2 - 118*j**2 wrt j?\nAnswer: -150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(5\/(1230\/(-9))).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6068, 10 in decreasing order.\nAnswer: 10, -5, -6068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-22) - (3 - (-2490)\/(-825)). Is i less than -1.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n + 1. Let f(p) = 4*p**2 - 12*p - 12. Give -f(s) - 12*m(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18680021 and 0.088.\nAnswer: -18680020.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327313 - 2942395\/9. Which is smaller: 379 or f?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 - 5336186*d**3 - 8*d**2 + 21344744*d = 0.\nAnswer: -2, 0, 2, 2668093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/7)*w\/(w*w\/w**(-2\/49))*w)\/(w**(-7)*w*w**(-6)\/w*w*w) assuming w is positive.\nAnswer: w**(579\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 417, 665, 941, 1245?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2. Give u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203212 - -3?\nAnswer: 203215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 87*d - 420. Calculate the remainder when n(80) is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 0*m + 5*m)*(0*m + 6*m - 3*m) - 4*m**2 - m**2 + 4*m**2 in the form d + q*m**2 + v*m and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r*r\/(r\/r**(-3\/16)))\/r)))\/r**16)\/(r**(-1\/21)\/r**(-7)) assuming r is positive.\nAnswer: r**(-7439\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*o + 19, -4*o = -19947*d + 19938*d + 3*o + 91 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 4*g - 3*f, 4*g + 4*f - 52 = 0. Calculate the remainder when 18 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977.8207 rounded to the nearest integer?\nAnswer: 9978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932 and 1776796?\nAnswer: 5330388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269 + -287. Let o(r) = r**2 + 18*r. Let w be o(f). Let l be (-4)\/((-16)\/(-10)) - -1. Which is the closest to 0? (a) l (b) w (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 + 15\/(75\/28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 76. What is the second smallest value in 0.02, 1\/2, 5, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2 = -x, -78*x + 81*x + 3*v - 42 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 207.39 and 4.7.\nAnswer: 974.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/4, -3, -0.063, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 1. Suppose -3*u - 25 = -10. Let i = k - u. Solve 0 = 2*c + 5*n + 3, -5*c - 5*n = -i*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 - 7*r + 33. Let a be x(-10). Let j(u) = 5*u**2 - 7*u + 7. Let p(m) = 4*m**2 - 6*m + 6. Let c(b) = a*j(b) - 4*p(b). What is c(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (25338\/(-8))\/((-816)\/64 - -12)?\nAnswer: 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = -v + 1974*y - 1975*y, 5*v - 25 = -y for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32607 - 32577. Which is the nearest to m? (a) 29 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.5 - 28. What is the nearest to 0 in h, -1, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o - 9. Let d = -15 - -2. Let c(q) be the third derivative of -q**4\/8 - 2*q**3\/3 - 5*q**2 + 8. What is d*c(g) + 6*r(g)?\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 + 109. Suppose -5*w + 5*q = 40, -4*w + 2*q = -11 + 33. Which is the second biggest value? (a) j (b) w (c) -1\/9 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**3 - 26*v**2 - 64*v + 24.\nAnswer: 2*(v - 6)*(v + 2)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -12. Let f(w) = w**3 - 2*w**2 - 4*w + 9. Let x be f(4). Let n = x - d. Solve 0*k = 3*k + 4*c - 7, -4*k + n = 5*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 83.3. Which is the third smallest value? (a) y (b) 0 (c) -70\/19 (d) 0.1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w*w\/((w*w**(-3\/14)*w)\/w))\/w))**24*(((w*w\/((((w\/(w**(1\/44)*w))\/w*w)\/w)\/w))\/w)\/w)\/(w*w**(-32)*w) assuming w is positive.\nAnswer: w**(15671\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*z**3\/4 + 9065*z**2\/2 + 1868008*z + 339488 = 0. Calculate z.\nAnswer: -824, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 - 38. Calculate the least common multiple of r(5) and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, d: 1, n: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4\/15109, 2.\nAnswer: -4\/15109, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1100303 (base 4) to base 13\nAnswer: -247a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.000018 - -21. Round m to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -40, -78, -148, -262, -432, -670, -988?\n\"Answer: -2*h**3 + 2*h**2 - 10*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 100*x**2 + 16*x - 16. Suppose -12 + 2 = 2*a. Let d(b) = -33*b**2 - 5*b + 5. Let l(n) = a*y(n) - 16*d(n). Let h(i) = -3*i**2. What is l(h(w))?\nAnswer: 252*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba + 1?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -565, -1646, -3259, -5404?\n\"Answer: -266*s**2 + 249*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f - 174*f + 192*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2)\/(10\/120*-4). Let d = 237 - 156. Calculate the highest common factor of d and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-834)\/(-3475)*(-5)\/60?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219197451 and 5?\nAnswer: 1095987255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1297*i**3 + 10*i**2 + 32429 wrt i.\nAnswer: 3891*i**2 + 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221021120 (base 3) in base 7?\nAnswer: -216054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/60 - x**5\/15 + x**4\/12 - x**3\/2 - 1420*x**2. Let s(l) = -3*l**3 - 7*l**2 + 3*l - 5. Give -6*s(r) + 10*v(r).\nAnswer: -2*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (5 - -1))\/1. Suppose -4 = -2*r, -u - 2*r + 6 = -6. What is the smallest common multiple of u and (0 + 3)\/(t\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - 2ac6?\nAnswer: -2b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (704\/(-160))\/(2 + (-24)\/15). Let w(v) = -4*v + 3. Let o(r) = -r + 1. What is p*o(y) + 4*w(y)?\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 341, 658, 977?\n\"Answer: u**2 + 312*u - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1054.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258 (base 14) in base 15?\nAnswer: 28a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 64*o + 127. Suppose -22*y - 132 = 30*y + 14*y. Give d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseebbezrsesee. What is prob of picking 1 e, 1 s, and 1 b?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 2*a + 2. Let x be i(2). Factor r - r**2 + 2 - x*r**3 - r**2 + r**3.\nAnswer: -(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0 + 2*k**2 - 3*k**2 - k - k**3 + 0. Let s(n) = -8 - 54*n + 17*n - 23*n**2 + 11*n**3 + 2*n**3. Let j(p) = -5*h(p) + s(p). Factor j(g).\nAnswer: 2*(g - 2)*(3*g + 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 13 = 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4 - 4*r**2. Let j(n) = -1. Let o(b) = b - 4. Let h(m) = -4*j(m) + o(m). Calculate h(k(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75395 is divided by 15078.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19 - (0 + (-4 - -1)). Let r = -9 - a. Calculate the smallest common multiple of 2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1174 and 33565247.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h - 3*h. Suppose 3*j + h*z - 25 - 38 = 0, 86 = 4*j + 5*z. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1631000151 + -0.1631. What is g rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52912 is divided by 24515?\nAnswer: 3882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21098.\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f - m + 4*m, -3*f + 40 = -5*m. Suppose 0 = p - 5*s, -4*p = p - 5*s - 40. Let a be (2\/5)\/(1\/p). Solve -w = -f*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36207 divided by -35\nAnswer: -36207\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -68, -1 in decreasing order.\nAnswer: 2, 1, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-120)*15\/18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 66, 154, 266, 396?\n\"Answer: -s**3 + 21*s**2 + 2*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*j + 33*j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090916 to 3 decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2807, -4178, -6455, -9632, -13703, -18662, -24503, -31220?\nAnswer: -38807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 1200002120?\nAnswer: 1200001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + -6*(sqrt(1100) - (1 + sqrt(1100))) + 2)*-6 + -4)*3)**2 + -1.\nAnswer: 7055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = 2. Suppose -w*o + 79 = -45. Suppose -n = 4*k - o, -2*n + n + 50 = -2*k. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, x: 1, z: 2}. What is prob of sequence eze?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -1.61. Let c be ((-2)\/5)\/(147\/105). Let u = c + -4\/35. What is the nearest to u in -1\/3, 2\/7, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 4. Let y(s) = -4*s**2. Calculate n(y(m)).\nAnswer: 16*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 68. Suppose 0 = -n - 5*a + y, -4*a + 64 = 6*n - 2*n. Suppose 0*u - 18 = -3*u. Calculate the lowest common multiple of u and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112751174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*a + 27, 0 = 12*h - 8*h + a + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let c(m) = -29*m + 2. What is n(c(l))?\nAnswer: 2523*l**2 - 348*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 2, x: 2, m: 1, z: 3, r: 6}. Give prob of sequence zmnr.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**7*z*z*z)\/(z**(-1)*z))\/((z\/z**(-1))\/z**(-2)) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 703657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 460287 divided by 5?\nAnswer: 460287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34356327 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151004628 and 21?\nAnswer: 1057032396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -985663\/39 <= -25273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 14*h - 62. What is the remainder when h is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.61 - 0.61. Let t = -51 + x. Sort -1\/4, t, -4\/7 in ascending order.\nAnswer: -4\/7, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*y + 2*y**3 - 72*y + 198*y**2 to x*y**2 + w*y + v*y**3 + a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 885463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = -0*c. Let o = 2 - c. Let g = -30 - -30. Sort g, o, 2.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 2012*v - 127640. What is x(-68)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 23. Let o be g(-19). Suppose 43 + o = -13*h. What is the least common multiple of 4 and (3*h\/(-30))\/((-2)\/(-215))?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 317?\nAnswer: 355\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8185 - -278?\nAnswer: -7b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**7\/14 - 17*m**6\/10 + 9*m**5\/2 + 2*m + 194. What is b in t(b) = 0?\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 2, c: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7856, 16329, 24804, 33281?\n\"Answer: m**2 + 8470*m - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (564\/6 - -6)*(-1 - -2). Suppose 99*i = f*i - 269. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534430*j - 1068856*j - 11*j**2 + 534426*j.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82958?\nAnswer: 2, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -10. Suppose 2 + 18 = 4*s. Suppose 0 = 4*y - h - 62, s*h + 46 = 3*y + 4*h. Calculate the least common multiple of y and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3 - -12) + -16 + -11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10150 and -27\/78967.\nAnswer: 3948350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1051 - -11?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91471 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22\/44*2*-9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206619 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12270 > 7007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 2*g + 5. Let i be b(-4). Let y(z) = -z - 3. Let o be y(i). Suppose o = -p + 4*p. Is p greater than or equal to 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0796 - 20.047\nAnswer: -19.9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*z**2 + 480 + z - z - 483 to the form r*z**2 + i*z + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 303522076.8 to the nearest 100000.\nAnswer: 303500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*z - 169*z + 84*z + 89*z + 27*z.\nAnswer: 83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -338113662.\nAnswer: 135245464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 6 - 23*u)*((19*u**2 - 28*u + 28*u)*(-2 + 1 + 2) - u**2 + u**2 - u**2) to the form x*u**3 + n*u + s*u**2 + z and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, x: 9}. Give prob of picking 3 x.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l - 980 = 5*i, 0 = -5*l - 5*i + 1020. Suppose 4*k - 242 = -k - 3*g, -4*g = -4*k + l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 k when three letters picked without replacement from fnqemekk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*g + a, 4*g = 6987*a - 6984*a - 58 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357083.\nAnswer: 357083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 126*b**3 + 21*b**2 - 20*b + 4. Is f(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -2. Find the first derivative of -15*s + 7*s**c + 12 - 24*s**2 + 15*s wrt s.\nAnswer: -34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.801 + 8.6. Let c = -0.001 - d. What is the second biggest value in -0.1, 2, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = b - 165. Let a be (-9)\/15 + (-196)\/(-10). Let d = a - 0. Calculate the highest common divisor of b and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(11\/5))*(x*x**(2\/79)*x*x)\/x)\/(x**(-2\/21)*x\/(x*(x*x**(28\/9)*x*x)\/x)*x))**(-24) assuming x is positive.\nAnswer: x**(-603544\/8295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/((-19)\/(1824\/72)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12998791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n*v**2 + 20*n - 4*v**2 + 33*v with respect to n.\nAnswer: 3*v**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-51 - (-16 - 9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-147)*(-140)\/60?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182020089, -364040178, -546060267, -728080356, -910100445, -1092120534?\nAnswer: -1274140623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from mmgmmmgmmmmmgg.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 - x. Let u(n) = -38*n**2 + 8*n**2 + 11*n**2 + 9*n**2. Calculate z(u(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 124961?\nAnswer: 999688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10544*c - 64071 = -13595*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 8*q. Let v be z(10). Suppose -59 = -4*c + 29. Let h = -17 + c. Solve 3*f - 20 = -h*t, -f - 5*t + v = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-26 + 4 + 17 - (4 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035895193 to five dps.\nAnswer: 0.0359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161*d + 7*d**3 - 1161*d + 6542.\nAnswer: 7*d**3 + 6542","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 38 = -2*b, -2*t - t = 3*b - 33. Suppose -4 = -2*i - s - 2*s, -4*s = -3*i + 6. What is the remainder when t is divided by (i + -5)*(-6)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24650 divided by -145?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*p - 4*p = -14, -5*l + 24 = -4*p. Let c be -3 - (4\/14 + 48\/(-168)). Let s = 22 + -24. Put c, s, l in descending order.\nAnswer: l, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = 2*s, -3*y + 21 = 4*s + 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*(a\/a**(1\/3))\/a)*a*a)\/((a\/(a\/a**(-4\/11)))\/a)*a*a\/a**(-2\/7)*a*a**(-19) assuming a is positive.\nAnswer: a**(-2545\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 486\/13, 0, -2 in ascending order.\nAnswer: -2, 0, 1\/2, 486\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:54 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*f = -197, -5*r + 0*f + 247 = -4*f. Suppose -2*y + 2*o = -4, -3*y = -4*y + 2*o + 3. Calculate the lowest common multiple of y and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-136)\/306*33\/(-44). Is 15078 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20727741*v - 29725366?\nAnswer: -20727741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.7689ml to litres.\nAnswer: 0.0077689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 415, 14.5, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(16\/(-6) - 0). Let n(k) = -m*k**2 - 2 + 2. Let r(j) = -43*j**2 - 360*j**2 + 402*j**2. Determine n(r(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -39*i + 7. Let q be t(10). Let k = q + 9581\/25. Put k, 0, 3 in decreasing order.\nAnswer: 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from rbbbr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -4, -142 in decreasing order.\nAnswer: 6, 1, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/9 (b) -21 (c) 5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 15, 23, 31?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:13 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/715 and -14\/510445.\nAnswer: 5614895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-137*j + 81*j + 57*j + 596*j**2)*(-2*j**2 + 3 - 3) in the form v + s*j**2 + y*j + g*j**4 + t*j**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - t**2 + 5*t + 4*t - 1 + 0*t + t**2 + 4*t**4 in the form f*t**4 + k*t**2 + h*t**3 + i*t + y and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 144922084 divided by -4\nAnswer: -36230521","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, 5, -0.1, -355, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.129 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 2005854*k.\nAnswer: k*(k + 2005854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9 = -m. Let c(g) = 8*g**2 + 2 + 2*g**2 - m*g**2 + 3*g. Let p be c(-3). Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44019008 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -21, 2\/7, 1\/3, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1. Let w(m) = -5*m - 3. Let z(y) = -3*h(y) - w(y). Let x(o) = 2671 - 5345 + 7*o + 6*o + 2674. Give x(z(j)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*g - 62, -89*g + 93*g - 91 = 3*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 3*q**2 + 3*q - 2. Let s be l(2). Suppose s = -2*d - 5*z + 67, -d = -0*d + 2*z - 31. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcjcddcd. What is prob of sequence jd?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68551, -274050, -616523, -1095964, -1712367, -2465726, -3356035, -4383288?\n\"Answer: k**3 - 68493*k**2 - 27*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -551, 5, -2, 4 in descending order.\nAnswer: 5, 4, -2, -47, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v + 16*v**3 + 40 - 20*v - 4*v.\nAnswer: 16*v**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 8*k - 2. Give u(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238148497?\nAnswer: 83, 2869259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let h(c) = -10*c + 7. Let k(i) = -3*i + 2. Let u(v) = 2*h(v) - 7*k(v). Calculate b(u(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -755 < -752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((1 - 1) + -1)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12 = -5*w, 2*y + 10 = -3*w + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-238)\/(-8) + 6\/24. Suppose 0 = -2*q + 5*q - f. Suppose t + q = 2*g - 4*t, -2*g = 3*t - 42. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**4\/4 - 25*d**3\/3 + 11*d**2 - 64*d - 48. What is the units digit of a(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.01 (b) -1 (c) -0.3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333112293 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**3 + 4*g**2 + 5*g - 1. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*o - 3*m - 213, 4*m = 4*o - 180. Suppose 3*z + 2*t + 4 - 70 = 0, -4*t = 5*z - 110. Let j(a) = -a**3 + z + 2*a**3 - o + 20. Calculate j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) - -1*sqrt(117)))*-4)\/(sqrt(36)\/sqrt(4)*6).\nAnswer: 13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16915.38 centuries?\nAnswer: 1691538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 7*i - 24. Give j(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 15, 0, -74, -65 in descending order.\nAnswer: 15, 4, 2, 0, -65, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 + -8 + 11 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 - -4)) + -14 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 4. Let c(b) = -b + 148. Let l(v) = -c(v) - 6*f(v). Let m be l(18). Solve -15\/2*d**3 + 15\/4*d**4 + 15\/2*d**m - 3\/4*d**5 - 15\/4*d + 3\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167168, 167165, 167162, 167159?\nAnswer: 167156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6196463 to the power of 1\/2, to the nearest integer?\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 2 - -2 - (79 + -45 - 36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9400 and 900.\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**6)\/a**(-3\/7))\/(a*a*(a\/a**0)\/a)**(4\/5) assuming a is positive.\nAnswer: a**(239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 409 = -3*h - 3*j, -4*j = -5*h + 540. Suppose -4*u = -0*u + h. Let r be u\/(-8)*4\/14. Solve -t - r = -6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/((-576)\/112))\/(1\/(-34)) is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -114754, -0.03 in descending order.\nAnswer: 5, -0.03, -13, -114754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6634273?\nAnswer: 67, 83, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -4 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 - 3*w + 2. Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -47*u**3\/2 - 3*u**2 - u. Suppose -17*r - 4772 = -4755. Does 9 divide w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409528 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 175 = -27*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 8. Let v be p(-9). Suppose r = 34 + v. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 3*v**2 + 3*v**2 - 97*v**2 + 13*v**4 + 97*v**2 + (0 + 1 + 0)*(-v**4 - v + v) - v**4 - 2*v**4 + v**4.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a77 (base 12) to base 11\nAnswer: -1172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - y**2 + y. Let z be m(1). Suppose -29*d + 39*d + 40 = 0. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 83 (c) 5 (d) -568\/9 (e) -5 (f) 18\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 2 + (8 - 70 - -29) + 21.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1053*u + 1728. Let l be z(-36). What is l rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -11.625268126.\nAnswer: -8.625268126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 - 7*y + 11. Let d be i(8). Suppose -41 = -4*p + d. Solve -2*b = -4*l + 12, -4*l + 4*b + p = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 15*v + 5*v)*(5 + 0 - 1).\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - 3) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*d*m*z**2 - 3*d*m - d - 2*m*z**2 - 3*m*z - 2*z wrt z.\nAnswer: 824*d*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -190086, -380176, -570266, -760356?\n\"Answer: -190090*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73918 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 50225460?\nAnswer: 50225460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 75, 68, 61, 54, 47, 40?\n\"Answer: -7*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 0 + 111255*n - 111256*n + 0. Let a(p) = p**2 + 3*p + 2. Let t be a(-3). Let g(f) = f + 1. Give t*g(r) + k(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(-5 - 2 + 2 - 1 + 0 + 2 + 1 - 2 - 1 + (2 - 3 - 1)*(2 - 2 - 1) + 1 + 4 - 4 - 2 + 2 - 2 + 1 - 1 - 1)*(-2 + 2 - 3*g).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228268*v**3 + 4*v**2 - 4800550*v?\nAnswer: 1369608*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33470665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6345 divide 547695066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 78148.47 to the nearest 10.\nAnswer: 78150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 plus 160?\nAnswer: 159.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 4*k - k + 5*k + 2*k**2.\nAnswer: 2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 40*c**2 + 3*c + 88. Calculate u(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 12*z**2 + 11*z - 6. Let r = 26 + -15. Let m be h(r). Let d = -16 - -10. Is d greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 912?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v + 5. Let u be r(-5). Let y be 3\/(-3 + u\/12). Let f(i) = 2*i + 4. What are the prime factors of f(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbgwbhwg. Give prob of sequence wj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2104430824 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6590?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 8 + 2*l**3 + 4*l**2 - 2*l - 8 to d + f*l**2 + o*l + s*l**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3611, 3351, 3091, 2831, 2571?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 886.3102 centuries?\nAnswer: 88.63102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/11 + 76*z**2\/11 + 640*z\/11 - 1600\/11 = 0. Calculate z.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2 - -5) + -5 + 1032\/129. Let q(j) be the second derivative of 0*j**f + 0 - 41*j + 1\/6*j**3 + 1\/12*j**4. What is q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15bb + 15?\nAnswer: 15d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0091 and 26.2.\nAnswer: -0.23842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/7 + 12*y**2\/7 - 18*y\/7 + 8\/7 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvj when three letters picked without replacement from rorcvovjcjjjoo?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/3 (b) 1\/6 (c) 0 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 b when four letters picked without replacement from qbbbbbq?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**5 - 520*t**4 + 6405*t**3 + 24030*t**2 = 0.\nAnswer: -3, 0, 18, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*t + 212477469*o + 126659116*t wrt t.\nAnswer: o + 126659116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - (6 + -4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1828306 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 34. Let o(d) = -186*d + 162. What is -o(t) - 5*r(t)?\nAnswer: 191*t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:53 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 330743*i - 210*i**2 - 135*i**2 - 330745*i + 4 in the form h*i + q + a*i**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*k - 1)*(4*k**2 - 4*k + 4*k)*(-4*k**2 - k**2 + 2*k**2).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28519 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -2617b?\nAnswer: -26172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -33*b + 161. What is g(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -16*p**3 - p**2 - 2*p + 2. Determine h(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*j**2*o**3 - 6*f**3*j*o**3 - 2*f**3*j*o**2 - 8*f**3*o**3 + 687*f*j**2*o**3 wrt j?\nAnswer: -4*f**3*o**3 + 1374*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19762 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*u**2 - 3 + 19*u - 8*u - 11*u.\nAnswer: -118*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (2 - (3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15105 is divided by 4996.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-10))\/((-54)\/15 + 4). Let a = 12 + -8. Suppose a = d + 3. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 7. Suppose 7 + 11 = 4*p + 5*u, 3*u = -2*p + 10. Suppose 0 = -h*y + p*y - z + 55, 2*z - 30 = -2*y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87814\/230 + (-1 - (-12)\/10). Let m = 506 - d. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3 + 10*q**2 + q**3 - 4*q + 3*q + 6. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 186 - 126. Calculate the greatest common divisor of 39 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2. Let b(d) = 85*d. Give b(w(l)).\nAnswer: -255*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -56*f**2 - 3*f + 3. Let l(x) = -2072*x**2 - 112*x + 112. Determine -3*l(s) + 112*p(s).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, i: 6}. What is prob of sequence iihh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - -4.94. Let o be (-4)\/(-108)*6 + (-367)\/(-9). Let h = 40 - o. Is h greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 4230 + 2101 + 0*n**3 + 2129.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/3 - 4*o. Let w(q) be the second derivative of -q**3\/6 - q. Calculate w(m(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-21))\/(-1)*(-18)\/(-8). Suppose 4*t + 7023 = 5*z, 0 = -p*t + 3 - 9. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2856, -6086, -14858, -31944, -60116?\nAnswer: -102146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*p + 12, p - 5 + 3 = t. Sort 0.4, t, -3 in decreasing order.\nAnswer: t, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*s + 78, 0 = 2*d + 3*d - 2*s - 86. Suppose d*z = 20*z - 184. Let q(x) = 92 - 2*x - z. What is q(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.554716 centimeters in micrometers?\nAnswer: 65547.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjiooc. Give prob of sequence scio.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*t*x - 14278545*f*t - 3*f*x - 3*f - 162878*x wrt t.\nAnswer: 2*f*x - 14278545*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:25 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3223\/15 - -215. Let f = -3 - -3.01. Let l = -0.29 - f. Sort n, l, -1.\nAnswer: -1, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 - -162. Let g(u) = u**3 + 5*u**2 - 4*u + 1. What is g(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1083 and 953078?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -21\/646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 46*d**2 - 168*d - 13. Give z(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*f = -152, m = 5*m - 5*f + 172. Suppose 2*g = -g - 9, -4*g = -n + 110. Let r = n + m. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2095692 is divided by 9033?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*o = -782, -3*u + 2*o + 375 = -91. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*o - 4 - 59, 3*o + 5*n = -25. Let m(k) = -k**2 - 16*k + 1. What is the tens digit of m(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7317760 divided by -10\nAnswer: -731776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 plus 0.654?\nAnswer: -2.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 149. Suppose -5*c = -49 - n. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -367892\/140963 + 381\/146. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 97.93. Let k = l + 0.07. Sort -0.6, k, -0.1.\nAnswer: -0.6, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + w + 4*w - 15 = 0, 3*x = -3*w - 39. Calculate the common denominator of -29\/7 and 2\/(-16) + (-12)\/x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390 - -392. Which is the closest to -2? (a) -1\/3 (b) y (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201115\/13 smaller than 2169317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.008286 + -43.247286. Round f to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25801, 25773, 25695, 25543, 25293, 24921, 24403?\n\"Answer: -4*o**3 - o**2 + 3*o + 25803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32594408 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + -75 + (-9006)\/(-475).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 7*o - 1. Let r be (-18)\/(-8) + (-1)\/4. Let w(a) = 15*a - 4*a**2 + 5*a**r - 2*a + 1. Let q(g) = -5*k(g) - 3*w(g). Suppose q(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4006 - 2538. Calculate the remainder when 2938 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*d*m*x**2 - d*m + 150*m*x**2 - 616*m*x - 1851*x wrt x.\nAnswer: 114*d*m + 300*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 263*b**7\/42 + 29*b**4\/2 + b**2\/2 - 18*b + 3. What is the third derivative of p(x) wrt x?\nAnswer: 15780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33004945?\nAnswer: 5, 6600989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5318, 21473, 48476, 86327, 135026, 194573?\n\"Answer: 5424*o**2 - 117*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from lqqqllzqqlsqnqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 253150907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Suppose -4*u - i + 23 = 0, -2*u + i + 3*i + 16 = 0. Let k be (-9)\/u*(-4)\/3. Solve -k*p = x*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*z - 24, -4*z = 86*g - 82*g + 8. Solve -188*i + 187*i - a = 7, g = -5*i + 5*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from egbbbezgzhzzggezee?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/8 - 36001*m**2\/2 + 432021*m\/8 = 0?\nAnswer: -144007, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 915*l - 1498. Calculate a(-228).\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/105486561 and 83\/21.\nAnswer: 738405927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7860669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1720 and 13765\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 0 + 27*o**3 - 29*o**3 - 146*o**2 as a*o**2 + s + j*o**3 + n*o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*259\/4884*48.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 1. Suppose -5*y - 4*y + 18 = 0. Suppose -y*f + 2*t = -2, 7*f - 4*f - 15 = -t. Suppose 12 = -2*j - f*j. What is r(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from ylppypyshyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.1, -68, -669?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2223*u**2\/2 + 30767*u + 360.\nAnswer: -(13*u - 360)*(171*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*1)**2*-2 + -1 + 2*(sqrt(17) + (sqrt(17) - (sqrt(34)\/sqrt(2) + sqrt(17))) + sqrt(17)).\nAnswer: -35 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29425 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 1 (b) -0.4 (c) -4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50650 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 87161280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3281*p + 4195. Let u(s) = -1095*s + 1399. Let h(a) = 6*g(a) - 17*u(a). Differentiate h(j) with respect to j.\nAnswer: -1071","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 9*y**2 + 4. Let r be s(-9). Suppose 2*g - r*h = g + 3, 3*g = -h + 9. Is g less than or equal to 7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2. Let g(h) be the second derivative of -h + 0 + 1\/12*h**4 + 0*h**2 + 0*h**3. Calculate t(g(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 26 (b) 3 (c) 4 (d) -4 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {e: 9, f: 1, t: 3, k: 1, d: 1, i: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7851*s**2 + 90*s.\nAnswer: 3*s*(2617*s + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746813012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -210258 (base 9) to base 16\nAnswer: -1e7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.0634 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 4, z: 3}. What is prob of picking 3 z and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Suppose 14 = -4*b - 6. Let m be 36\/(-45) - 4\/b. Let z(y) = -7*y**2 + 0*y**2 - 8*y**2 + m*y**2. Determine z(o(a)).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(6\/7)\/o)\/o*o)\/(o*o\/(o\/(o\/o**9))))\/(o*(o\/o**(-1))\/o)**(-5\/9))**(-48) assuming o is positive.\nAnswer: o**(-8032\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.506, -11?\nAnswer: 0.506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p - 72 = 0. Let n = p - 9. Let y be 6*(-5)\/(n\/(-6)). Calculate the greatest common factor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xxmxxxmxx.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3306016 (base 9) to base 14.\nAnswer: -343271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 7) to base 6\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrrr when four letters picked without replacement from rrqqrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 385 + -161. Let q = h - 670\/3. What is the closest to 2 in q, 14, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + (-1 - -817). What is r rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6008, 0.1, 2.49.\nAnswer: 0.1, 2.49, 6008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 13\/3 (c) -0.5 (d) -1.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*v = 109215, 0 = -b + 4*v + 30783 + 5605. Let x be 784500*(b\/21)\/(-13). Round x to the nearest 1000000.\nAnswer: -105000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 93*t**3 + 11*t**2 + 17*t + 15. Let k(i) = 47*i**3 + 5*i**2 + 8*i + 7. Let l(w) = -13*k(w) + 6*m(w). Let g be l(2). Let x = 249 - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3412 times -11?\nAnswer: -37532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109318.\nAnswer: 2, 11, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t - 18 + 18)*(-t - t + t) + 1 + t**2 - 1.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -41*j**2 - 18*j + 10*j**2 - 27*j**2 + 105 - 8*j**2. Find the first derivative of b(x) wrt x.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -694, -1585, -2842, -4471?\nAnswer: -6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 11*n**6\/12 + 23*n**5\/15 - 44*n**2 + 1. Find the third derivative of s(r) wrt r.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16491, 32967, 49441, 65913, 82383?\nAnswer: 98851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -2 + 2)\/(1 + 1)*-6. Determine a, given that -4*a**4 + 20\/7*a - 8\/7 + 36\/7*a**2 - 20\/7*a**t = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534452939 to the power of 1\/2, to the nearest integer?\nAnswer: 50343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 0*l**3 - 3*l**3 + (4 - 4 + 1)*(-3*l**3 + 3*l**3 + 2*l**3).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 3, 5, 0.2, 8, -80.\nAnswer: -80, -19, 0.2, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540336537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g)*(-1112 - 117 - 437).\nAnswer: 3332*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 276694*x\/21 + 307460\/7.\nAnswer: -2*(x + 46119)*(3*x - 10)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 + (7 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/117 + ((-4)\/36*-82)\/(-14). What is the third biggest value in v, -350, -1, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n - 0*n - 840. Sort 4, n, 5 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1808 + 2346. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 2356?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -553 - -613. What is the derivative of -30*r - 4*r**3 + 70 + 106 + y + 8*r**3 wrt r?\nAnswer: 12*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925646 = -322*s + 2445050. List the prime factors of s.\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-465)\/(-65) + -7 - 4590993\/(-143) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -369 + 375.88. Let a = 7.2 - i. Sort 2, 0.2, a.\nAnswer: 0.2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 30 = -2*z. Solve -3*v - 5 - z = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*d = 10, 3 = 4*u - 2*d - 5. Let h = -25.24 - -30.2. Let t = h - -0.04. Which is the biggest value? (a) 0.4 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34562 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 u be 18\/(-9) + (2 - -22). Let l = u + -3. Let s(m) = m**2 - 35*m + 238. Let r be s(9). Solve -1 = -r*p + l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228787 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-0.0698653\nAnswer: -0.001397306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or 1?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blf when three letters picked without replacement from {b: 1, o: 1, f: 2, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 23 - 1 = -6*b, -3*b - 3 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649134201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*n + 8196 + 194 = 1175 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tppuuetttutpe. What is prob of picking 1 e and 3 t?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 4 = -o - 5*x, -5*x + 76 = -o. Let s = 155 + o. Suppose -5*r + 5*p = -s - 161, 4*r + 3*p = 199. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30887 - 30890. Let h = -0.02 + -0.98. Which is greater: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -12. Suppose 0 = g - 4*d - 55, -z*g + 117 = -2*d + 6*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10096 (base 10) in base 14?\nAnswer: -3972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-96)*4)\/(5\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkkk when four letters picked without replacement from {a: 3, j: 2, k: 6, b: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 14 = 20. Suppose 6 + s = -2*j. Let h(y) = -y**2 - 4*y + 11. Let v be h(-8). Put j, v, 0 in decreasing order.\nAnswer: 0, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = 36*i - 64*i + 255. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037316 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3\/(-1) + 144. Let n = -66 + a. Let g(t) = -18*t. Let v be g(-1). What is the greatest common factor of n and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298 by 26566.\nAnswer: -149\/13283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -58*j + 17. Let h be d(3). Let s = h + 268. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 2}. Give prob of picking 1 u and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.3 + -355.7. Let i = -402 - q. What is the smallest value in i, 0.4, 0.2, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Suppose -3*x - 80 = x. Let y be 8\/(-36) + x\/(-9). Solve y*w = 6*w + j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 2. Let i(s) = s**3 + 6*s**2 - 8*s - 7. Let o be i(-7). Solve q = -o*q - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 9*y**5\/20 + 2*y**3 - 4*y. What is the second derivative of u(t) wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 23*a)*(3 - 1 - 11 - 17).\nAnswer: -650*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(-6\/13))\/((w**(-21)*w)\/((w*(w\/w**(-18))\/w)\/w)) assuming w is positive.\nAnswer: w**(514\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 564659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -5, 8, 25, 46?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:26 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-9 - 1) + -1 + 4 - 0) + 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 15. Let d be o(-2). Suppose d*k - 34141 = -5076. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 3*r - 2 - 4 = g. Let y be r + 1 + 3 + -1. Solve -y*q + 2*q + 21 = -4*k, 0 = -k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -1 (c) -3\/2 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = 2*w - 6*w, -w = h + 9. Let u be (-4)\/(-3) + w\/(-12). Suppose u*x + 2 - 146 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*b - 12 = 0, 14*q = 13*q + 5*b - 16. Let k(i) = 6*i**3 + 15. Let v(d) = d**3 - 1. Give q*k(l) - 15*v(l).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -12) + 11 + -12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/22 + (0 - -1). Let g = 55\/3 + -611\/33. Which is the closest to 1? (a) q (b) g (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -1\/3*n**2 + 1\/18*n**4 + 0*n + 13 + 4\/27*n**3. Find f such that s(f) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, h: 9}. Give prob of picking 1 h and 2 p.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 570134 - -37889. Suppose l + k + 1201977 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, 1, 4, 57 in decreasing order.\nAnswer: 57, 5, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = -5*f - 19*d - 24, f - 4 = 4*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/391608 and 167\/3024?\nAnswer: 783216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1, 9.8081, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 348*s**3 + 1014*s**3 + 832*s**3 - 272*s**3.\nAnswer: 1922*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0475616 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -51. Let u be (7 - 11) + i + (7 - 0). Let j = 3 - 1. Solve -j*d + u - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 43*o**2 - 83*o + 45. Let y be r(41). Solve -2*c = -75*a + 72*a + 19, 3 = -y*a - 3*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 186*h + 16. Let r(m) = -80*m - 7. Let w(u) = 3*j(u) + 7*r(u). Let i be 3\/((-6)\/(-14)) - 1. Determine w(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*x - 73393 = 4446*x - 847*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*a**3 + 108*a**2 - 233*a - 39.\nAnswer: (a - 1)*(2*a + 3)*(82*a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -6.9 (c) 30356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 55.378\nAnswer: 221.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 70, -12, -2\/13 in ascending order.\nAnswer: -12, -4, -2\/13, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5 = t. What is the tens digit of (-44)\/8*-2*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2343666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16906 = -44930. Let b = t + -16918. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3437\/23 and 150 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -2. Let v = -0.38 - -1.38. Suppose 0 = 5*t - 4*t + 5. Which is the closest to 1\/4? (a) t (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1212 and 5484.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 50 + 28. Let y(b) = b**3 - b**2 - 6*b - 5. Let x be y(5). What is the highest common divisor of x and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81408 - -6\nAnswer: 81414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1179 - 966 - 2*y + 4763 in the form o*y + f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63568 + -95.\nAnswer: 63473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 2*d. Suppose 24*b + 144 = 528. Suppose 158*t - 159*t = b. Put -4, 1, d, t in increasing order.\nAnswer: t, -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 28 = 0. Let b(y) = -y**3 - 7*y**2 - y + 5. Let g be b(a). Suppose -g*q = -7*q. Solve 2*j + 3*j - t + 23 = q, -4*t - 3 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**2 + 12. Let g(l) = 13*l**2 - 12. Let k(u) = 3*g(u) + 4*h(u). Differentiate k(w) with respect to w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (60 + -77 - -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2280, 4564, 6848?\nAnswer: 9132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47972.9ng to kilograms.\nAnswer: 0.0000000479729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*-10*(-28)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 64\/6*(105\/10)\/7. Suppose p*c - 882 = 10*c. Calculate the remainder when c is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - b + 1. Let u(i) = 59*i**2 - 6*i + 5. Calculate -6*f(m) + u(m).\nAnswer: 71*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - -689. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 49*b**2 - 137*b - 1720. Give l(-51).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 15) to base 11.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q**3 - 26*q**3 - 45*q**2 - 7*q**3 + 45*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5 + 34*l**4 - 202*l**3 - 584*l**2 + 203*l + 550 = 0.\nAnswer: -2, -1, 1, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*u = -518*u - 148. Let h = 116 + 368. What is the greatest common factor of u and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -4 (c) 2 (d) 0.03 (e) -36 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4181 - -4214. Suppose -5*i = -159 - 306. Calculate the lowest common multiple of z and i.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.65 - -11875301264?\nAnswer: 11875301252.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 + c + 1. Let d = -2 + 7. Let n(i) = 6*i**3 - 9*i**2 - 9*i - 7. Let z(v) = d*h(v) + n(v). Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -2.96. What is l rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2573 + 1520. Calculate the least common multiple of h\/(-18) - 2\/4 and 9\/4 - (21\/12)\/7.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*i + 93 = 0, 19*v - 5*i + 9964 = 10262 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 912976663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -6, -2.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1675031 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 45*v + 30. Let b be x(-6). Let t = 404 + b. Suppose -2*n - 2*u + t = 0, -3*n + 99 = -4*u - 175. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 388722\nAnswer: -194361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -20. What is the third derivative of 4*q**a + 2*q**2 + 3*q**6 + 5*q**2 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afammafmfmfmfa. Give prob of picking 1 a and 1 f.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -1372*m + 1368*m. Solve -5*y - 2*r = -24, 2*r = -3*y + 4*r + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 59*l + 6. What is v(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:46 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y + 9. Let j = 20 + -16. Suppose -g + j - 1 = 0. Suppose g*d - d = 14. Determine i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/91 - 6\/130. Let d be (2\/(-5) - 0)*-1. What is the nearest to d in -3\/7, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - 6c8?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607831*q - 838*q**2 - 303908*q - 303923*q.\nAnswer: -838*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3000) + sqrt(30) - (-3*sqrt(4320) - sqrt(4320)))\/(((sqrt(384) - sqrt(384)*3)*-4 - sqrt(384))*3))**2.\nAnswer: 845\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.7. Let q = 68 - 69. Let j = q + w. Which is the third smallest value? (a) 4 (b) j (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 25 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 3*d + 26)*(2*d - 2*d + 2*d**4) + (d**2 + 2*d**2 - 5*d**2)*(-3*d**3 + 2*d**3 - d**3).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is addd - -22?\nAnswer: ae10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 59. Let d = 52.0000041 + v. Round d to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {o: 1, k: 17}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - d + 4 + 53 - 53 - 13*d + (0*d - d + 2*d)*(6 - 4 - 3) - 2*d - 4*d + 5*d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 596 + -596.00000014. Round o to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 2*r + 1. Let u(q) = -4*q**2 + 33*q - 11. What is 6*s(k) - u(k)?\nAnswer: -2*k**2 - 45*k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}