diff --git "a/data/dm_maths/full_data/1575_11255.jsonl" "b/data/dm_maths/full_data/1575_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1575_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (4 - 3 + 0)*(-2*h**2 + 2*h**2 + 7*h**2).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203224968.\nAnswer: 2, 3, 2822569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n + 23. Let s(t) = -10*t - 34. Let o(c) = -5*s(c) - 7*w(c). Determine o(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 110, 164, 216, 266?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186436 and 107531.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73813*w**4 - 33*w + 12008986 with respect to w.\nAnswer: -295252*w**3 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 60*u - 321. Calculate n(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - -13) - (7 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30510 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = p + 4*y, 0 = -4*p - 4*y + 48 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -79, -110, -147, -190?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**3 - 3*p**2 + p - 3. Let c(y) = 4*y**3 - 3*y**2 + y - 2. Let d(t) = 6*c(t) - 5*w(t). Let k be d(-3). Is k greater than or equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 57 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 12*k - 60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 669 - 669.12. Suppose -66 = 10*k - 86. What is the third smallest value in x, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -5*d**6\/6 + 7*d**5\/5 + 2*d**4 - 4*d**3\/3 - 4. Determine b, given that w(b) = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w\/(w\/(w*((w\/w**(-2\/17))\/w)\/w*w)))*w*w\/w**(2\/23)*(w**(3\/5)\/w)\/w*w**(2\/15) assuming w is positive.\nAnswer: w**(8966\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 1474950*c + 108773875125.\nAnswer: 5*(c + 147495)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 - 188. What is the closest to s in -1\/9, -85, 5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369671219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-44) + 46\/8. Suppose u = p*u - 365. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(6*z**2 + 0*z**2 - 3*z**2 + (-31 - 2 - 5)*(-2*z**2 + 18*z - 18*z) + 6*z**2 - 5*z**2 - 3*z**2) as d*z**2 + k*z + q and give d.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/16 and 89\/12370186?\nAnswer: 98961488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 18*l**2 - 62*l. Determine r(10).\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - 2.4. What is the biggest value in 2, p, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49810749133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*t + 273*t + 8 = -2*h, h + 16 = 3*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 3*r - 14 = 0, 0 = -2*j - 4*r. Suppose 3*g = -j*m - 39, -4*g + 17 = -2*m - 3*g. What is the remainder when 105 is divided by (m - 1)*324\/(-90)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26940\/22450)\/(108\/70)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:28 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwppppwwpwpppppww. Give prob of picking 1 w and 1 p.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 690144 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - (1705049610\/3)\/(-10). What is s rounded to the nearest 100000?\nAnswer: 56800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 - (-46 - -34) - 20\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6 - 1. Let i = -1 + n. Is (-138 - -1)*(3 - i) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 34, -7 in ascending order.\nAnswer: -7, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 2*q + 559 + 2*q - 662.\nAnswer: -4*q - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 723*v + 760. Let t = 8 - 1. Suppose -n + 18 = -x, 8 = t*x - 3*x. What is the remainder when q(-1) is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577602 equal to 1577537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + 7*o)*(4*o - 4*o - o)*(-16*o**2 - 9*o**2 + 233*o**2).\nAnswer: -416*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2)**2 + -3 + (-1*sqrt(17)*3 + (2*sqrt(136))\/sqrt(8))**2.\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6)\/y)**(-1\/21)\/(y*y\/((y\/y**(4\/7))\/y)*y**(2\/19)\/y) assuming y is positive.\nAnswer: y**(-3805\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2407 * -117\nAnswer: 281619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28 - 75642*s + 2 - 357697*s + 4 + 17. Suppose 0 = -2*n - 2*i + 2 + 10, -6 = -2*n - 4*i. Let p be x(n). What is p rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - 317c?\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqqqpjjjqljqpqppql. What is prob of sequence djq?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.9879 litres to millilitres.\nAnswer: 697987.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1409*r = -1436*r + 972. What is the highest common divisor of 558 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wvqcwvqqwzf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7266 divided by -3\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60\/17 (b) -2\/15 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492 is divided by 74?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 19 - 39*r**2 - 9 - 10.\nAnswer: -39*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -214.1 - -236. Let y = -22 + f. Let i = 91\/396 + 2\/99. Sort i, y, -2.\nAnswer: -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1797851 - -0.5?\nAnswer: -1797850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223100 (base 4) in base 2?\nAnswer: 10101011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/32611 or 0?\nAnswer: 2\/32611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102658*z = 102667*z + 117 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-210)*4)\/(4\/478). Let u = v + 35\/3. Which is the second biggest value? (a) u (b) -0.1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1.388\nAnswer: 0.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -147155923 rounded to the nearest one million?\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612095446 to the power of 1\/2, to the nearest integer?\nAnswer: 74914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4735 is divided by 526.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/4*7\/((-140)\/(-48)). What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 177?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i + 331 - 349. Which is smaller: i or 91\/125?\nAnswer: 91\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*b - 36, 4*b + 1995 - 1012 - 1003 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733010281 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 4*m - 4 = -25*h, m + 1 = -3*h. Suppose -b + 2*w + 3*w + 9 = 0, -5*w - 15 = 5*b. Suppose 3*p + 10 = 1. Put h, b, p in ascending order.\nAnswer: p, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) -0.5 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-15) - 124\/(-10). Let a be ((-9)\/12)\/((-1)\/y). Suppose 5*k - 54 = -5*r - a, 41 = 5*k + 4*r. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(4 + -10 - -8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2)\/sqrt(4) + (sqrt(19) + -1)*-3 - sqrt(1216)*-3*6)**2 + -1.\nAnswer: 858*sqrt(19) + 388539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, r: 3, w: 3, n: 1, d: 5}. Give prob of picking 1 d and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 376, 428, 536, 718?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5 = 3*k, 2*o + 2*o + 15 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/(6\/(-10))*216\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from lelplvevet?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, 85, -9, -1\/9 in descending order.\nAnswer: 85, 1, -1\/9, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121073821 to the power of 1\/2, to the nearest integer?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120121010211 (base 3) to base 15\nAnswer: -60e77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 124. Let o = -95 + 65. Is 28 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + 2)*-3 + -5*-4*sqrt(1573))*-2*-6*-2 + 3)**2.\nAnswer: -1319472*sqrt(13) + 261869481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 13*u - 10. Let i be z(-14). Suppose 99 + 5 = i*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t - 4. What is the third derivative of t*d - 2*d**4 + 14*d**2 + 13*d**4 - 2*d wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4851 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -10, -135, -402, -859, -1554, -2535, -3850?\nAnswer: -5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -462867 - -462508.761. Let v = d - -3.339. Let s = 335 + v. Round s to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 - j**4\/12 - 6*j**2. Determine k(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6. Let i be (-1 - 0)\/(y\/3). Suppose -i*s + 10 = -8. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let z(a) = -962*a. Determine z(f(o)).\nAnswer: -962*o + 1924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 12 = -26*o. Suppose 30*w = o*w + 1003401. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4)\/y*y**(4\/3)*y)\/(((y\/(y\/((y\/y**(3\/4))\/y))*y)\/y)\/(y**(-1\/11)*y)) assuming y is positive.\nAnswer: y**(74\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 3*n + 1 + n - 88*n**2.\nAnswer: -88*n**2 - 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9863*j + 19739. Calculate t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 93*k**8\/56 - k**7\/21 + 31*k**4 + 2*k + 41. What is the third derivative of q(x) wrt x?\nAnswer: 11160*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzttttttbtt. Give prob of sequence tttt.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(176))\/((sqrt(12)*-4)\/sqrt(6)) + -4 + -2.\nAnswer: -6 - sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4444, -8889, -13316, -17719, -22092, -26429, -30724?\nAnswer: -34971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5748 and 28.\nAnswer: 40236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (0 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -443 < -866\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 + 6*z + 6. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 5 (c) 0.07 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r - 1. Suppose 0 = 8*w - 5*w + 3. Give b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (10\/(-75) - (-1209)\/585)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 701560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + -7649. Let o = g + 7702.5997. Let w = 0.6 - o. Round w to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxnv when four letters picked without replacement from {t: 1, o: 1, v: 2, x: 1, n: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5525 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6780 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-830)*(-3)\/6. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/138 and -5\/1158?\nAnswer: 26634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12.92 * -13\nAnswer: -167.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from xxuxxuzuzu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420003 + 3011244?\nAnswer: 3431302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -2\/4921, -0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871844.2km to meters.\nAnswer: 871844200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 - 10*d + 2. Let u be c(-5). Suppose 4*l - 15*x + 19*x = 1296, 3*l - u*x = 957. List the prime factors of l.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*f - 34, 23*r - 27*r = 1 + 3 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/14 + 26*(-8)\/364?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by -142.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(4 - ((1 - -5) + -2)). Suppose 0 = 5*l - 10, -238 = -2*k - z*k - 5*l. Suppose -k*r + 50 = -113*r. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 at least 198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2346 is divided by 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l. Let n(u) = 4*u. Let k(s) = 3*n(s) + 8*x(s). Let r be 2\/4 - (-54)\/4. Let f(b) = -b + 16*b**2 + b - r*b**2. Give f(k(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 390555866 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 - 182*l**2 - 176*l + 360 = 0. What is l?\nAnswer: -90, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117108, 234173, 351190, 468159, 585080?\nAnswer: 701953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 376 = 4*d. Suppose d = 3*r - 8. Let o be 0 + 68 + 1 + -1. What is the greatest common factor of r and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 636501106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 602 in -0.1, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*h + 28 = 0, -b + 42 = b - 3*h. Suppose i - b - 366 = 0. List the prime factors of i.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2873807650893 from -28.\nAnswer: -2873807650921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 887648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**3 + 1. Let k(r) = -5*r**3 + 1. Suppose 0*g - 3*g = 3*x, -12 = -x + 3*g. Give x*k(i) - 2*o(i).\nAnswer: -3*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 321773317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2913 + -2935. Sort -3, x, 0 in increasing order.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6)*4\/3. Suppose 4*n - 42 = 4*i + c*n, -34 = 3*i + n. Let k be -3 - -9 - 2 - i. Solve -h = 2*h - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*d + 513. What is the units digit of (d\/12)\/(6\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 68. Put l, 4\/3, -2\/7 in decreasing order.\nAnswer: 4\/3, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/22, -8, 0?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 22*v**2 - 6*v + 2. Let t be h(1). Solve -3*n = -0*s + 5*s + 4, -5*n - t = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.062462 or 3\/8?\nAnswer: 0.062462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 + -90. Suppose 2*v + g = 5*v - 3*h, 2*v + 3*h - 37 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5329 plus 16417?\nAnswer: 21746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570 divided by -114.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010000 (base 2) in base 14?\nAnswer: -4da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2604163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 65\/7 (b) -1.9 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -125. Is -1\/17 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 312362 or 624723\/2?\nAnswer: 312362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 201*f**3 - 1457*f**2 - 201*f + 1456 = 0. What is f?\nAnswer: -208, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 6. Let i be z(0). Solve 0 = 5*j + u + 2*u - 10, -u + i = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/3761148 and -31\/612.\nAnswer: 11283444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from uooooououooooooouuu.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -10*d + 77 - 39 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - 36*b**2 + b + 4. Let c be k(-9). Let g(y) = 3*y**2 - 7*y + 6. Let d(m) = 2*m**2 - 6*m + 5. Calculate c*d(r) + 4*g(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -3.24. Let s = y - -3. Let x = 0.05 - s. What is the closest to -14 in 0.5, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 301 = 145. Let y = -122 - -81. Let p = y - s. Which is the biggest value? (a) 0.4 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 - 17*u - 33. Calculate the remainder when 397 is divided by l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50862 is divided by 140.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7070319 (base 11) to base 6.\nAnswer: 1123555541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/102 - 8645\/(-42) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027406 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-28)\/(-8))*18. Suppose 14*t - 160 = z*t. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*a**2 - 685*a**2 + 291*a**2.\nAnswer: -104*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 27*v**8\/28 - 9*v**4\/4 + v**2\/2 + 4*v. What is the third derivative of i(d) wrt d?\nAnswer: 6480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7581 + -1?\nAnswer: -7582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*q - 17 = -2, 2*x = 3*q + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 6:54 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7937808 and 27110.\nAnswer: 39689040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six thirds of a century in months?\nAnswer: 30400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/10 - 501*k + 1255005\/2.\nAnswer: (k - 2505)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4122 = -18802. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*y = -81*y - 1400. Solve -41*k + y*k - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let u = -17 + 26. Suppose 7 = -n - l - 3*l, 4*n - 3*l = -u. Let s be -9 - n*12\/9. What is b(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235288973?\nAnswer: 353, 666541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a - 1. Let v be (6\/21)\/(4\/28). Suppose -2*d + 4 = -v. Determine h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 41*h + 11 + 4 + (1 + 3 - 1)*(3 + h - 3) - h - h + 0*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 6. Let k(m) = 2*m - 5. Suppose 5*b + 20 = 0, -4*j - 1 = -b - 29. Determine j*k(n) - 5*l(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 1336*k**2 - 3*k - 7 + 5*k**4 - 2*k**4 + 1335*k**2 to o*k**4 + s + l*k**2 + i*k**3 + v*k and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 + 1)) + 0 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -31 + 7. What are the prime factors of -3*(2 + (-16)\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22\/5 + 5. Put y, 3, 0.3, 2 in decreasing order.\nAnswer: 3, 2, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 - 12 = 0. Suppose 8 = -2*k - 3*f, k + 16 = -3*k + v*f. Let h = 6 - 7. Which is the closest to -0.1? (a) h (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 6*g. What is s(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 108845841 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139619 is divided by 2321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/5 + 5*i - 136\/5 = 0.\nAnswer: 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -0.3 (c) 3 (d) 1 (e) 17.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -454\/3 - -392\/3. Suppose 4*r + 4 = -4. Find the common denominator of b and r\/18*801\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1 - 5*d + 3 - 6. Let j(t) be the first derivative of 0*t**2 - 1\/3*t**3 + 0*t + 90. Give j(v(p)).\nAnswer: -25*p**2 - 20*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2197 - 2203. Let a = 15 + -16. Sort i, 4, -4, a in decreasing order.\nAnswer: 4, a, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*m + 5 - 5 + 622*m + 586*m - 1616*m.\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3330 divided by 449.\nAnswer: 3330\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -29. Let s(p) = -p + 1. Let g(z) be the first derivative of z - 1. Let r(y) = 3*g(y) - s(y). Give r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*g + 22*g - 4 - 39*g - 2*g**3.\nAnswer: -2*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2320*c**2 + 162398*c\/7 - 20\/7.\nAnswer: 2*(c + 10)*(8120*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by (-111)\/(-6) - (-3)\/(-12)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 a when four letters picked without replacement from {m: 2, a: 7, p: 3}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 1\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 7}. What is prob of sequence ggp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*c**5*j**2 + 182*c**2*j**2 - 105*c*j + 4*c + 2*j**2 - 76*j wrt c.\nAnswer: 640*c**3*j**2 + 364*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-12)*(-4)\/56*2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**5)\/(((s*s**(-2\/11))\/s)\/s*s)*(s*(s**(-1)\/s)\/s)**(-1\/20)*s*s**3*(s**(-2\/3)\/s*s)\/s*(s*s**(2\/5))\/(s*s**3\/s*s) assuming s is positive.\nAnswer: s**(397\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6545 by -5265.\nAnswer: -1309\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 > -6695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*p + 0*p = -4, -1 = -p. Suppose 2*v + 4 + 2 = u. What is the closest to 1 in 0.3, v, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/331 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 4*i - i)*(-296 - 460 + 145).\nAnswer: 1833*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -1197?\nAnswer: -11ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 times 32.75?\nAnswer: -2685.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 15 + 26 - 9)*(0 + 2 - 1).\nAnswer: 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006136 to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 958.6254\nAnswer: -2875.8762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009474681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 631408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 7)*(-3*v**4 - v**3 - 3*v**4 - v**3)*(2 - 2 - 4).\nAnswer: 192*v**4 + 64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let p = 100 - 100.2. Which is the nearest to t? (a) p (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 + 0*k**4 + 2\/3*k**3 - 7\/120*k**6 + 0*k**5 + 7*k**2 + 0*k. Differentiate w(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -325, -641, -991, -1375, -1793, -2245, -2731?\n\"Answer: -17*s**2 - 265*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 4. Suppose -15 = 4*u - u - 3*g, 0 = 3*g - 12. Let o be u\/((-1)\/49) + 2. Let k = o - 56. What is y(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*z - 8*z + 34*z + 4*z - z - 2*z - 3*z + 2*z + 2*z + (-1 + 5 - 2)*(-2*z - 3 + 3) + 256*z + 10268 - 10268.\nAnswer: 214*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -5.85. Let l = -25 - -24.95. Let u = r + l. Sort u, 0, -0.1.\nAnswer: u, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 4. Suppose 11*d - 13*d - 19 = -5*r, -5*r = d - 13. Calculate o(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*g + 992 = 0, 2*a - 5*a - 5*g + 602 = 0. What are the prime factors of a?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125.76 + 123. Let v = 4132697.239873 + -4132700. Let r = x - v. What is r rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/52*((-2)\/280)\/(6\/(-96))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150781 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 + 514 = -8*g. What is the nearest to 2\/937 in 1\/5, g, 1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 8 = 10*p - 22, -s + 3*p + 16 - 18 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6281.526ml?\nAnswer: 6.281526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.76 less than -0.01?\nAnswer: 31.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -4080543 to the nearest 1000.\nAnswer: -4081000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 80*s - 8172. Determine h(102).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((9 + -19 - -44) + -6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 13837050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -50. Let y = -47 - b. Let s be (-276)\/(-7) - 8\/y. What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - c - 2497 = 0, -a = 3*a - 4*c - 3340. List the prime factors of a.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -132 + 144 + (-114 - (-3 - 2)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15922230, -31844460, -47766690, -63688920?\nAnswer: -79611150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -16*v - 7. Let b be ((-6)\/(-3))\/(4\/(-8)). Let n(c) = -16*c - 6. Let i(t) = b*n(t) + 3*j(t). What is the tens digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 65. Is w < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 4)\/(-3))\/(2\/14). Suppose t*x - 24 = 102. Suppose -22*w = -x*w + 1108000. Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-1 - 2\/(-1)). Let v be ((-2)\/12)\/(x\/4). Let f be 10\/4 + -2 - (-5)\/30. What is the nearest to -1\/4 in v, 2, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-27)\/(-90)*-14*5\/2)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 340457 - 340455. Find c such that 2\/5*c**3 - 2\/5*c + 2\/5*c**4 - 2\/5*c**y + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.41 - -27. Let m = -0.39 + d. Put m, 2\/5, 3 in increasing order.\nAnswer: m, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*((6*f - 7*f - 4*f)*(4*f - f - 2*f) - 2*f + 2*f - f**2).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 15*i**2 + 2*i + 27. Let y be n(-15). Suppose 4*d = 2*d + 4. Let o = d - y. Solve 0 = -o*p + 4*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -j + 99. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i**(3\/2))\/(i**(2\/13)*(i*i**7*i*i*i)\/i) assuming i is positive.\nAnswer: i**(-433\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, h: 10}. What is prob of picking 2 p?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {c: 11, w: 2, g: 6}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.10261559 less than -24714?\nAnswer: -24704.89738441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 69.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/23081 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1796\/8163 + -2\/907. Which is the nearest to -1? (a) 6 (b) y (c) 1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9812675 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - 30. Let x = -129 - a. Is ((-10)\/(-4) + -3)*x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 12*g**2 - 164*g + 28. Let x be a(8). What is the smallest value in x, 8, -3, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/3 + 478600*z\/3 + 28632245000\/3 = 0.\nAnswer: -119650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -168, -308, -484, -684, -896, -1108?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497012, 497015, 497020, 497027, 497036, 497047, 497060?\nAnswer: 497075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17458, 16577, 15696?\nAnswer: 14815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5080, -5096, -5124, -5170, -5240, -5340, -5476?\nAnswer: -5654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-180)\/5))\/(18\/240*4)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3425 + 3425 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -33101835295.\nAnswer: -33101835294.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120328857 to the nearest integer?\nAnswer: 10969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1298 in 2\/9, -16, -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.1, 18\/5, 261, 11, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/5)*a)\/a**(-3) assuming a is positive.\nAnswer: a**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + -18 - (83 + -85)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2 - 6 - 21*d - 30*d - 3. Let g be (1 - 5)*(0 - 9\/(-18)). What is the tens digit of k(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*z = 23, -116*s - 5 = -111*s - 3*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12984828, -25969781, -38954720, -51939639, -64924532, -77909393, -90894216?\nAnswer: -103878995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/9 - 461102*l**4\/9 + 1383414*l**3 - 12451050*l**2 + 37353636*l = 0?\nAnswer: -230578, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*d + 21, 4643*d - 2*r = 4642*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42868 > 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-2)\/28*(-756)\/144)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/6 + n**3\/2 + n**2\/2 - 14*n. Let c(y) = 3*y**2 - 101*y - 31. Let g be c(34). Determine t(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 w when three letters picked without replacement from mmmbmwwbwmwb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -128170, -513573, -1155906, -2055169?\n\"Answer: -128465*r**2 - 8*r + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/51 + (-1)\/9*-141?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36365 = -3995*r + 3585 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:29 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3619.\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 231b (base 12) to base 13\nAnswer: 1a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 69. Let c = -21 + p. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-195)\/675)\/13)\/((-162)\/540).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8250519943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -3360\/421 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -2. Suppose 2*w + 2*w - 156 = 0. Suppose -4*d = w - s. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-1*4 + sqrt(156))\/sqrt(12).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 - 2*s**2 - 1\/6*s**4 + 0 + 4\/3*s = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 1464?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5 (c) 2 (d) 0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h*h\/h**(-1\/5))\/(h**(-5)*h**0) assuming h is positive.\nAnswer: h**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2872867.\nAnswer: 127, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/10*((-5200)\/78)\/40 + 1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-4)*(-4)\/(-6). Let f = -4.145 + 0.145. Which is the nearest to 0? (a) f (b) s (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -24*c**5 + 16587*c**4 - 2858652*c**3 - 2514036*c**2 = 0.\nAnswer: -7\/8, 0, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*y = -5, y + y + 19 = 3*p. Sort -2, p, -3 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7091392 and 463232.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*b + 46 = 57, -z - 4*b + 14 = 0. Solve -3*c = 5*q + 29 + 2, -4*q - 16 = -z*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:43 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689380702?\nAnswer: 2, 17, 23, 79, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -50. Let v be (z - 6)\/((-4)\/(-32)*-6). Solve -3*h - 2 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 12, f: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p. Let j(b) = 15*b**2 + 2*b**2 - 11*b**2 - 10*b**2. Give h(j(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 2\/3, 97\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 8 + 43\/3*v**2 + 58\/3*v - 1\/3*v**4 + 8\/3*v**3 = 0. What is v?\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8848 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 26, -11, 1795 in descending order.\nAnswer: 1795, 26, 7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 76\/266*21\/(-3). Let g(k) = 3*k**2 + k - 1. What is g(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2 - -4.6. What is the third biggest value in -0.2, m, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**2 - 32. Let l(w) be the first derivative of -w**3 + 46. Calculate b(l(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 107537, 214318, 321105, 427898, 534697, 641502?\n\"Answer: 3*j**2 + 106772*j + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**4 - 55965*h**3 + 56050*h**2 + 895620*h + 1119400 = 0?\nAnswer: -11194, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -98*w**2 - 127*w**2 + 86*w**2 + 2. Let b(r) = -r**2. Determine b(v(c)).\nAnswer: -19321*c**4 + 556*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1561706.\nAnswer: 12493648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -27, -33, -39, -45?\n\"Answer: -6*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 - -231. Suppose 0 = 4*o + 4*k - 24, -5*o + o - 3*k + 25 = p. Solve i = 3*v + 12, 0*v - o = -i + 2*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - 6*a**2 + 13*a - 85. Let o = 1932 - 1923. Give g(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**7\/70 + t**6\/10 - t**5\/4 + t**4\/4 + 2*t**2 - 5*t. Let y(j) be the first derivative of h(j). Solve y(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/113344 and 83\/3214?\nAnswer: 182143808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (-1*sqrt(1088))**2) + -5 - sqrt(153)\/((sqrt(90)*2)\/sqrt(10))) + 0 + 3.\nAnswer: -1090 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 402*p - 398*p - 32. Let x(o) = -15*o - 16. Let w(z) = 3*z + 3. Let u(d) = -22*w(d) - 4*x(d). What is the least common multiple of u(-2) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62)\/93*(0 - (21 - 0)). Let a be (-13)\/(78\/(-36)) + j. Solve -i - a = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/36*-9)\/(13\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Let k = 4 - 1. Put k, 1\/5, u in decreasing order.\nAnswer: k, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**2 + 14*b**2 - 3*b - 6*b**2 + 10*b**3. Is j(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h**2 - 61*h**2 - 53*h**2. Let a(p) be the first derivative of p**2\/2 - 45339. What is b(a(l))?\nAnswer: -91*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v + 50. Let a be y(7). Suppose 3*w = -a + 33. What is the third derivative of 9*s**2 - 1079*s**w + 1123*s**6 - 30*s**2 wrt s?\nAnswer: 5280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.9, -5, 0.4, 1\/663, -2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 273*x - 3028. Determine r(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 0) + 18 + -1 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-25) - ((-2)\/(-10))\/(1*(-19)\/3382).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1255, 1957, 2659, 3361?\n\"Answer: 702*n + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c**2 + 5*c**2 - 2*c**2)*(c**2 - 2*c**2 + 2*c**2) - 4*c**4 - 3*c**4 + 4*c**4)*(c - 5 + 5).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 803\/438 + ((-2)\/1 - 0)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -144, -179, -226, -291, -380?\n\"Answer: -q**3 - 28*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 59 = n, -528*n - 75 = -4*p - 533*n for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqammamnamncay. What is prob of picking 1 m, 1 a, and 1 n?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 11*m**2 - m + 13. Let c be s(11). Suppose 3*n + 2*y = 16, 0 = -n - c*n - y + 14. Solve -22 = n*q - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 1 + 24 - 28*z wrt z.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-364)\/(-6) + 294\/126 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 161?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*r = -11*r + 332 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -11. Suppose 22*t = 50*t. Solve t = -k*q + 2*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/137309 and 45\/2167.\nAnswer: 1510399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((25\/(-125))\/(2\/5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -35*f + 102. Calculate y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 42 = 91. Suppose a*t = 14*t. Is t at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.030763\nAnswer: 0.092289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6386 - -6833. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-10))\/(12\/30). Calculate the highest common factor of 48 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 1377 = -17*x - 40*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -3 - -4) + -3 - (-6 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 92*s + 105. Let h be d(-30). Is h < 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5864 divided by 1466.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-6))\/(1\/6))\/((-1845)\/19065)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 8*c**3\/3 + 214. Let r(w) be the first derivative of -2*w**3\/3 - 1. What is r(b(p))?\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -4)*(27\/6 - 2). Let t be 0*((-45)\/10 - f). Solve t = 4*a - 4*w, -5*a = -0*a - 3*w + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*v + 2, 3*p + 26 = 7*p - 5*v. Sort 1\/5, p, -0.2, 4\/3 in ascending order.\nAnswer: -0.2, 1\/5, 4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 1088 - 333 = 259. What is the greatest common divisor of w and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - -454. Let p = -102 + u. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 14*d + d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:27 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -419430 divided by -165\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 423724153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2905*h**3*j**3*l + 12*h**3*l**2 - h**2*j**3 - 67*h**2*j**2 + h*j**3*l**2 - 6*j*l**2 wrt h.\nAnswer: 17430*j**3*l + 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*n + 3*n + 758 = 0, 4*y = -5*n - 3100. Let b = -448 - y. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*q - 346, -2*u + q + 249 - 18 = 0. Suppose 3*f - u = f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 7*l**2 - 11*l + 7. Let d be w(8). Let k = d - -16. Let u(q) = q**2. Let g(o) = o**2 - o. What is k*g(c) + 2*u(c)?\nAnswer: c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 179*i - 519. What is the least common multiple of y(3) and 1290?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 4380?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*x = -y - 17, -5*y + 35 = 5*x. Let n be ((-2)\/y)\/(5\/(-20)). Let j = -3.6 + 4. What is the smallest value in j, 5, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2 - t + 1. Let a(z) = -2*z**2 + z - 1. Let u(n) = 3*a(n) + 3*j(n). Let i(f) = -f - 7 + 7. Determine i(u(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/6)\/(q\/((q*q*q\/(q*q\/q**(-21)))\/q*q)))\/((q*q**(-2\/39)*q*q)\/q**(-4)) assuming q is positive.\nAnswer: q**(-757\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.62 + -22.02. Let x = 19.8 + f. Which is the biggest value? (a) -70 (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3) + (4 - 4). Suppose b = t - r - 2*r - 929, -4709 = -5*t - r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 36\/(3 + -1). Suppose 17 = 3*u - o. Let h be 2*(1 - (1 + -26)). Calculate the highest common divisor of h and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84600676.\nAnswer: 2, 4253, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*l = -l - 42, -3*p - l - 24 = 0. Suppose 0 = j + j + 6, 0 = -5*m + 2*j - 9. Is m < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1383c4 + -4?\nAnswer: -1383c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1864*m*s**2*w**3 - 2*m*s*w**3 + 140*m*s*w - 3*s**2*w**3 - 20*s - w**3 wrt s.\nAnswer: -3728*m*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*q + 6672, -3*v + 2*q + 5806 + 4218 = 0. Calculate the highest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92176, -92274, -92368, -92458, -92544, -92626, -92704?\n\"Answer: 2*z**2 - 104*z - 92074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqpehlhlehpepqp. Give prob of sequence hqq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 185, 180, 173, 164, 153, 140, 125?\n\"Answer: -z**2 - 2*z + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101336638?\nAnswer: 2, 13, 43, 90641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35116057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-9)\/3 + 42\/(-8 - -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2011 and 2149.\nAnswer: 4321639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59399666 a multiple of 2006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539178 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 10*r + 4*g - 4, 2*g - 7 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/15 - 208*z**2\/5 + 11264*z\/5 - 507904\/15 = 0. What is z?\nAnswer: 32, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -360*q**3 - 4*q**2 - 10*q. Let j(z) = 362*z**3 + 3*z**2 + 8*z. What is 3*g(d) + 4*j(d)?\nAnswer: 368*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75)\/(4\/(-5))*(-3151)\/(-137)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -792 + -41. Let h = 835 + w. Suppose -g + 6*g = 30. Solve -h*o = o + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (46\/3)\/2 - (553 - 547). What is the nearest to -2 in y, 88, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7619\/220464 - -1\/6124. Let h = -116409 + 16762891\/144. Calculate the common denominator of h and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 10*n**2 - n + 11. Let f be v(10). Let p = 59.6 - 3.6. Let u = p - 48. Is u smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 - 8*z + 2. Let x be o(-4). Suppose 0 = -4*a + 12, -x*p + 4*a + 64 = -56. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-16)\/3)\/8). Let t(i) = -i**2 - 2 - i + i**2 + 2*i**2. What is the remainder when 55 is divided by t(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118850467 a multiple of 1467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-3))\/(25\/120*2). Let s(b) = -b**2 + 7*b - 6. What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5*(-4101)\/(-66). Let u = k + -117\/10. Let g = 5272 + -52839\/10. Calculate the common denominator of u and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134770251, -134770246, -134770241, -134770236?\nAnswer: -134770231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 3*r**4 + 3*r**4 + (4*r**3 + r**3 - 8*r**3)*((-3 + 2 + 0)*(0*r + 2*r + 0*r) - r + 3*r - r + 84 - 84 + 3*r - 3*r - r - r).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 423*p**2 - 947*p - 199. Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -968, -7715, -25970, -61469, -119948?\n\"Answer: -956*j**3 - 18*j**2 - j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/5)\/(950\/(-40375))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -4. Let x = -784\/117 + 90\/13. Let k = 4.5 + -0.5. What is the second smallest value in k, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (86 - 62)*20\/6. What is the highest common factor of q and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 0.2, -54, -2, -0.35 in descending order.\nAnswer: 0.2, -0.35, -5\/3, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 10:20 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21)*742\/1060. What is the biggest value in l, 0, -139\/2, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78716 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/5)\/y*y*y**(2\/3)*(y*y\/(y*y**(1\/3)))**35 assuming y is positive.\nAnswer: y**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18*(-4)\/32)\/3)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30 = -2*l + 3*l, -3*l - 36 = -3*h. Solve -4*m = -d - d - h, 2*m + 5*d - 25 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 18, c: 2}. What is prob of picking 2 q and 2 c?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*290\/116)\/((-30)\/(-276)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*j + 533, 105 = 2*r - 4*j - 97. Suppose -3*q - 78 = 3*v - v, 4*q + 3*v = -r. List the prime factors of (16\/q)\/(4\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 3*m**5\/20 + m**3\/6 - m**2 - 10*m. Calculate the remainder when 94 is divided by x(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let w(r) be the first derivative of h - 4*r**2 + 6*r - 2*r + 0*r**3 + r**3 + 0*r. Factor w(z).\nAnswer: (z - 2)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.1125 minutes in microseconds?\nAnswer: 16926750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -6\/11 (b) -1\/4 (c) -1\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474016 divided by -4?\nAnswer: -118504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/7 + 2925*r + 40938\/7 = 0.\nAnswer: -6823, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 760.73 + -754. What is f rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 1 - c - 4*c - 19*c + 10.\nAnswer: -29*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(70)\/(sqrt(100)\/sqrt(40)) + (sqrt(7) + (4 + sqrt(112))**2 + sqrt(7) - sqrt(35)\/sqrt(5)*-5).\nAnswer: 33*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -61.77 (b) -0.4 (c) -6 (d) 0.0255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*((-1*sqrt(539)*-4 + sqrt(539))**2 + (1*sqrt(539)*-5)**2).\nAnswer: -404250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 5, h: 2, y: 2, r: 2, q: 2}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -140*i + 20. Let l be g(-7). Round l to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78654 by -26218.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10311 + 11?\nAnswer: 10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:11 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - s = 218, -6*s + 160 = 4*i - 2*s. Let c be (21 + -5)\/((-2)\/(-4)). Let g = i + c. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/6)\/5*6. Let k = 10 + -8. Solve -k*i = i - a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*s + 34, s - 50 + 10 = -4*b. Let p(l) = 4*l - 1. Let y be p(b). Solve 4*o + y = -3*f, -4*f - f = -3*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*m**2 - 2 + 15*m**2 + 0 - 39*m**2 to the form l*m**2 + c*m + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*2*3\/(-4). Let p be (1\/(-2))\/(v\/342). Let l(n) = 19 + 2*n**2 - p. Let o(u) = 4*u. Determine l(o(b)).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 0, 3 in descending order.\nAnswer: 11, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o + 3 + 2 - 3.\nAnswer: 27*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.649173254 minus 145?\nAnswer: -145.649173254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 51. Let j(q) = -13*q**2 + q + 153. Let y(d) = -3*j(d) - 8*p(d). Differentiate y(x) with respect to x.\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 7\/6, 1\/4, 1\/9, 47?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.068, -9145, -5.\nAnswer: -9145, -5, -0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/2, -27, -3\/2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 213.7 - 213.2. Sort y, -0.07, -0.2 in decreasing order.\nAnswer: y, -0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -84417.\nAnswer: -11818.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7295603 weeks?\nAnswer: 122.5661304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b + 5. Let i(h) = h**3 - 5*h - 9. What is 5*a(y) + 2*i(y)?\nAnswer: -3*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36395511 to the power of 1\/2, to the nearest integer?\nAnswer: 6033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.11 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84851699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 90*z + 675.\nAnswer: 3*(z + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468492.\nAnswer: 2, 367123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b - 544*b**4 + 4*b**3 - 3*b**3 - 2*b**3 - b**3 + 543*b**4 + 2 in the form t*b**4 + q + v*b**3 + l*b**2 + d*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.9 + 16.4. What is n rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 17*m - 5*k - 30, -5*m = 4*k + 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 36 in ascending order.\nAnswer: -10, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 - 12*k**3 + 8*k**2 + 48*k + 32 = 0. What is k?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/3 - 25909*l\/3 + 51814\/3 = 0.\nAnswer: 2, 25907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-33))\/(45\/(-270))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3156, -6394, -9758, -13242, -16840, -20546, -24354?\n\"Answer: z**3 - 69*z**2 - 3038*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4080 - 636 = 0. What is the remainder when m is divided by 125?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3569 is divided by 81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 973830 divided by 33.\nAnswer: 29510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 766*g**3*w - 22*g**2*w**3 + 2184*g*w**3 - 3*g*w**2 - 18*w wrt g?\nAnswer: 4596*g*w - 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 15*k**2 + 24*k - 23. Let v be r(12). Let q = v + 181. Do 2\/3 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - p - 4*p - 118, -5 = -5*p. Suppose 0 = -y - 2*j + 19, j - f = -4*y - 0*j. Let t(r) = -r**2 + 10*r + 5. What is the units digit of t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/459912 and -53\/3771.\nAnswer: 578109384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - m = 39, 4*y - 4*m = m + 27. Let z = 13 - y. Solve -z*f + 25 = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(30)*1)\/sqrt(10) - -6*(3 + -2*sqrt(3))) + (3*sqrt(9)\/(sqrt(12)\/sqrt(4)*-1))**2 + 1.\nAnswer: -16*sqrt(3) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 372*i**3*k - 15*i**3 + 399688*i**2*k**3 - 56*i**2 - 1030*i - 60 with respect to k.\nAnswer: 372*i**3 + 1199064*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1125)\/(-100))\/9)\/(-206*(-40)\/64)?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -20?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572 (base 9) to base 13.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 152973720 divided by 3\nAnswer: 50991240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5.6. Let v = 2.8 + -1.6. Let h = -0.2 + v. What is the nearest to 1 in -4, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3\/2)\/((-4)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 556? (a) -2\/3 (b) -1 (c) 96 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 270, 546, 824, 1104, 1386, 1670?\n\"Answer: g**2 + 273*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216780 = 4388*g + 19320 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39787 = -i + 3*l, -4*l - 119409 = -3*i - 7*l. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**3 - 29*y**3 - 23*y**3 - 34*y**3.\nAnswer: -130*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -1\/12*s**4 + 0 + s**2 + 0*s**3 + s. Differentiate y(l) with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, k: 5, y: 13}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.81 - -24. Let y = -10.09 - -10. Let v = y + g. Sort -0.2, -0.4, v.\nAnswer: -0.4, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d - 2597 - 2421. What are the prime factors of (3\/(-3))\/(1 - d\/(-384))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -3*(sqrt(209) + sqrt(209)*2) - (sqrt(209) - -5*(sqrt(209)*2 - sqrt(209))))\/(5*(sqrt(11) + sqrt(11) + (sqrt(220)\/sqrt(4))\/sqrt(5))))**2*5.\nAnswer: 3724\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1133*q + 2*q**2 + 2262*q - 1127*q - 211 - q**3 to g + t*q + x*q**3 + i*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-28))\/(((-87)\/2)\/29*-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(27) - (sqrt(108)*2)\/sqrt(4) - sqrt(27))\/(6*sqrt(144)) + 3).\nAnswer: -18 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p + 19 + 492 = -521 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:16 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/10)\/(6\/(-15)). What is the third biggest value in 4, a, -2, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21052191?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 172*k + 1046. Give w(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 - 4*y**5 - 3*y**5 - 1 - y**5 + 1 + (1 - 1 - 2*y**2)*(0*y**3 - y**3 - y**3))*(10 - 22 - 26).\nAnswer: 76*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryeryryrrre. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68482 (base 9) to base 5.\nAnswer: -2424341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 1. Let f(r) = 7*r + 1. Let p(c) = -4*f(c) - 9*m(c). What is the lowest common multiple of (8\/(-5))\/(2\/(-10)) and p(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/7*4\/12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*q = 0, 0*i + i = 4*q + 25. Suppose 0 = -2*u - 5*z + 340, 5*u + 56 = -i*z + 906. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:59 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 551580413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133261?\nAnswer: 1133261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 1. Let y be z(1). Let k = 7 - y. Suppose k*c = -3*t + 69, -6*t + 27 = 2*c - 3*t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/45 and 23\/235.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45257 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = t. Let k(u) = 23*u + 1. Let l(f) = -20*f - 16. Let q(p) = -3. Let c(n) = -l(n) + 5*q(n). Let a(w) = -7*c(w) + 6*k(w). Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*1)**2 + sqrt(2) + sqrt(8)\/sqrt(16).\nAnswer: 3*sqrt(2)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 77, 85, 73, 41, -11?\n\"Answer: -10*n**2 + 58*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -467 + 975. Let y = 4570\/9 - v. Which is greater: y or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 8*i**2 - 6*i - 8. Suppose -o + 8 = w - 13, 0 = 5*o + 4*w - 101. Let j = -8 + o. List the prime factors of a(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15332958 - 6163843561\/402. Let l = -68\/67 - r. What is the common denominator of (-110)\/(-4)*13\/((-195)\/(-10)) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -6. Let w = 121\/60 - 7\/20. Which is the third biggest value? (a) w (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.3011 + 11.25. Round k to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 2752*f**3 - 470584*f**2 + 949440*f - 476100 = 0. Calculate f.\nAnswer: -345, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -3, 2, -0.5, 10\/11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5082114?\nAnswer: 2, 3, 41, 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17366356 to the nearest integer?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/444083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44315\/6 + -7402. What is the common denominator of 53\/27 + (0 - 0) and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 713 = 1477 - 621 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073499 rounded to 3 decimal places?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 15*l - 200. What is the remainder when 104 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -20 - 7*v + 2*v + 2*v - v**2 + 25*v. Let w be h(21). Solve 3*k - w = -f + 3*f, -5*k + 2*f = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2160269372 - 2160270410.999329. Let h = -1039 - u. What is h rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45161?\nAnswer: 45161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -15, -2, -707, 2, -4 in descending order.\nAnswer: 2, -2, -4, -15, -16, -707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 610 + -836. Put -4, i, 1\/3, 3 in descending order.\nAnswer: 3, 1\/3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 8, w: 4}. Give prob of picking 2 s.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*m - 53, -54 = -3*r + 5*m + 84. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*w - 15937 = -9749 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -1\/6*x**3 + 12*x - 4*x**2 + 0 + 13\/12*x**4. List the prime factors of w(3).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Let f = u + 3. Let p(r) = -r**3 + 3*r**2 + 4. Let g be p(f). Solve 4*x - 4 - g = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 (base 12) in base 8?\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1 + -1 + 8. Suppose -3*f = -a + 1. Factor -1\/2*v**3 + 0 - 2*v - f*v**2.\nAnswer: -v*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 21*n**2 - 263*n - 739. Give t(15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6724.248mm?\nAnswer: 6.724248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410407.\nAnswer: 97, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from hbbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 0. Suppose 2*w - 6 = -3*c + g, 3*w + 3*c - 18 = 0. Suppose 0 = -0*t + t + w, 3*u = 4*t + 119. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9723.904t?\nAnswer: 9723904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.1 + 66. Let o = k + -11. Sort o, 0.2, 1 in increasing order.\nAnswer: o, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 163*d**2 - 8632*d - 921. Calculate u(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(117) + sqrt(117)*5)\/sqrt(9)*-2.\nAnswer: -12*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i - 24*i + 12*i - 7*i**2 + (-i + 3 - 3)*(0*i + i + i) + i - 2*i**2 - i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + h = 319, -7*h = 3*x - 12*h - 917. Suppose -23*p + 22*p + x = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-159)\/(-4) + 3\/12. Let d = 62 - t. Suppose 4*w + o - 62 = 0, -3*w - 5*o = -33 - d. What is the greatest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:50 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -584 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsllloslollsllsllls. Give prob of picking 4 l.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239\/964 + 1\/482. Which is the nearest to y? (a) 4 (b) 0 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-45))\/7*36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 672\/1375 - 27\/125. Let r(q) be the second derivative of w*q**2 + q - 4\/33*q**3 + 1\/66*q**4 + 0. Factor r(i).\nAnswer: 2*(i - 3)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7068*i**2 + 70*i**3 + 3 + 94*i**3 - 7066*i**2 to q*i**2 + g*i**3 + r + a*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15306305 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6. Let r(v) = -274*v + 875 - 874 + 275*v. Give r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11725031*k**4 - 23697281*k wrt k?\nAnswer: -140700372*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 50 = 3*x, 5*m - 5*x + 3*x = -45. Suppose 0 = -z - 4*w - 44, 5*w + 55 = -5977*z + 5973*z. Sort m, z, -3, 3 in increasing order.\nAnswer: m, -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 2. Let a be u(-6). Suppose 2*v - a*v = 0. Solve -3*k + 8*k - 10 = v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f - 30 = 0. Suppose -f*c = -453 + 447. Solve i - c = -3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992341.\nAnswer: 7, 17, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.94047234009 + -790538.05952125991. Let n = l - -790543. Let j = 3 - n. Round j to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 144 = -34. Solve -4 = 3*m - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 + 590. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 - 59*k + 5754\/5.\nAnswer: (k - 274)*(k - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 2, 1.68, -2 in ascending order.\nAnswer: -4, -2, 1.68, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.82, 4, 0.5, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1064*m - 15027. Give h(16).\nAnswer: 1997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24720218*n**4 - 1337277*n**2 - 3*n wrt n.\nAnswer: 593285232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -41?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5370841 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 34*j + 29. Is k(-11) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)*o)**(2\/13)*o**(-1\/3)*o**(-9))**32 assuming o is positive.\nAnswer: o**(-11552\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 87143185 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-7) - -4)\/((20\/(-36))\/((-305)\/(-1464))).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1\/(-8))\/((-5)\/35). Put g, 3\/5, -0.5 in decreasing order.\nAnswer: 3\/5, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(-5)\/(-60)*(-12)\/42. Sort 4, -163, -3, m in ascending order.\nAnswer: -163, -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/6)\/((-3)\/18) and -4*(-1 + 0 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s. Suppose -2*w + 12 = 2*w. Suppose -w*p = p. Let q be d(p). Solve 0 = -3*f - q + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81100 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, -5 in decreasing order.\nAnswer: 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 9. Let p(l) be the second derivative of l**5\/15 + 9*l**2 + 65*l. Let f(z) be the first derivative of p(z). Determine f(g(n)).\nAnswer: 36*n**2 + 216*n + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 1 - g**3 - 6*g**2 - 2*g**3 + 3*g**3. What is the units digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from {g: 4, b: 3, r: 1, l: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 128 = 76. Suppose 5*h = -8 + l. Suppose 2*z - 14 = -5*w, 3*w - w = -4*z + h. What is the highest common factor of w and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 7*y - 12. Let c be m(-2). Let n(d) = 47*d + 59. What is the hundreds digit of n(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -0.4 (b) -6.7 (c) -0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63106872?\nAnswer: 2, 3, 41, 59, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-25)\/(-2). Let t(c) = c - 1. Let r be t(3). Suppose 5 = r*f - v. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 6*n. Is (n\/3)\/((-20)\/2910) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2 - 60*i + 10. Let q(h) = 10*h**2 - 61*h + 12. Let p(b) = 6*g(b) - 5*q(b). What is the second derivative of p(y) wrt y?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 8. Let v = k + -33.06. Which is the closest to v? (a) 1 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 30 = 3*z. What is the greatest common factor of 105 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -51, -59, -47, -9?\n\"Answer: i**3 + i**2 - 32*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -922, 63, 5, 3, 1, -2 in descending order.\nAnswer: 63, 5, 3, 1, -2, -922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j + 165*j**2 - 163*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2770 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -767*d. Let k(a) = a**2 + 9. Determine k(n(b)).\nAnswer: 588289*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w + 43*w + 162 = 185*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 + 2878*g**3 + 217114*g**2 - 442870*g + 222876 = 0.\nAnswer: -1359, -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137659935.\nAnswer: 3, 5, 7, 1311047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -64*r - 206. Give h(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(40) - sqrt(280)\/sqrt(7)) - sqrt(40))\/(sqrt(968)*1) + 0)*6)**2*-6 + 3.\nAnswer: -717\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27267 or -27080?\nAnswer: -27267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (46\/(-206))\/(5 + 2 + 90\/(-15)). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14336329?\nAnswer: 7, 43, 47629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-14)*(-8)\/24)\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:50 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00659901 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9873.528 to the nearest 10.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(2\/3))**(21\/8)*(a**0)**37 assuming a is positive.\nAnswer: a**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = -p, -9*p = -5*i + 7409 - 7348 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtrrggrre. Give prob of picking 1 e, 2 g, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:27 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o + 45. Suppose 7*z - 6*z = 5*m + 83, 5*m + 93 = -4*z. What is the least common multiple of l(m) and 4?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 17*v + 19*v - 38 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 9:33 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291083*k**3 + 745*k - 252*k - 248*k - 245*k.\nAnswer: 291083*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u - 20. Let j(a) = 2*a. Give -5*j(s) + y(s).\nAnswer: 2*s - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Suppose -k*i + 12 + 3 = 0. Solve 0 = -i*p + 3*p - b - 3, -2*b + 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and -35.4.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 23*w + 2. Let q(l) = -23*l - 3. Let j(x) = -4*b(x) - 3*q(x). Let d be j(-1). Suppose -4*i + d = -0*i. What is the highest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 + 2*z**3 + 2*z**3)*(5*z - 4*z + z) - 66*z**3 + z**4 + 3 + 149*z**3 + 73*z - 81*z**3 to the form k*z + q*z**2 + m*z**4 + l*z**3 + w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (5*(sqrt(136) - (-2*sqrt(136) - sqrt(136))) - sqrt(136))) + 4*sqrt(136)*4)\/(1*sqrt(32) - (sqrt(392) + (-4*sqrt(392) - sqrt(392)))).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*f - 585*f = 4*d - 32, 5*d - 2*f = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + -51*24\/(-198). Which is the closest to -7? (a) -1\/4 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2366 = 4*r, -5*r + 5*s + 4177 - 1232 = 0. Let i = -598 + r. Let w(a) = -3*a**2 - 20*a. Calculate w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.02 - -1.8. Let y = -0.705 + 0.9239. Let o = g + y. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*w - 31*w - 3 - 22*w.\nAnswer: -134*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/6*(96\/10)\/4. Suppose p*r - 141 = 39. What is the highest common divisor of 120 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 78472351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288087 - -10390. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 28)\/(2\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + (-2*sqrt(147)*3 - (5 + sqrt(147)*-1)) + -3))**2.\nAnswer: 10080*sqrt(3) + 60096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/19983379 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22535, -22536, -22535, -22532, -22527, -22520?\n\"Answer: f**2 - 4*f - 22532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*z + 16 = 0, 2*f + 31 = -4*z - 15. Let l = f + 36. Suppose 25 + l = 4*t. Calculate the least common multiple of t and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 0 + -337 + 371?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 474 = 4*r, 5*n - 3*n + r = -459. Let j = -114 - n. Suppose -4*c = -3*c - j. List the prime factors of c.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640282779.\nAnswer: 3, 61, 388757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 9*l**2 - 11*l + 10. Let j be q(10). Solve j = -6*y + 4 - 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-1)))**(-9\/2)\/(((b*b*b*b**(2\/15)*b)\/b)\/b**(-4)) assuming b is positive.\nAnswer: b**(-242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4))\/m*m**5*m*m*(m\/m**(-6))\/(m*(m\/m**(-4\/9))\/m*m))\/(m\/m**(3\/7)*m*m\/(((m*m**(2\/5)*m)\/m)\/m))**(-13\/4) assuming m is positive.\nAnswer: m**(7123\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.1, 0, 1, 11, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**2 - 1 - 1\/3*k**3 - 18*k. Let j(y) = 5*y + y + y. What is z(j(a))?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 12. Let p be a(-9). Let i = 62 - p. Calculate the highest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3548861 and 33278.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4*13412\/35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -73. Which is greater: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 108*i + 11382. Determine p(-104).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - (13 + -11 - 35 - -7).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 13885*q - 13741. Give u(1).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 17*n - 29. Give l(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0527509 rounded to 3 decimal places?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/230 and -45\/8.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24620 and 22.\nAnswer: 270820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 3:10 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11624 divided by 2\nAnswer: 5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916 = -37*h - 322 + 368 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {p: 3, r: 1, z: 5, w: 1, a: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (154\/66)\/(3\/12591) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -400.64 and 71334723?\nAnswer: 71335123.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17. Suppose 40 = -3*s + u, 3*s + 41 = 2*u - j*u. Let t = 13 + s. Solve -3*o + t*o = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:40 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 2. Let l = 4 + -4. Let d be y(l). Put -5, 1, d in decreasing order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 26*g - 197. Let n be l(-32). Sort 2, 19, n.\nAnswer: n, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Let g = 7 - 3. Suppose r*b + v - 71 = 0, -2*v + 18 + 40 = g*b. What is the highest common factor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:43 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 955979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let o(s) = -529436*s. Determine o(f(r)).\nAnswer: -529436*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p. Let m(g) = -2*g**2 + 5*g**2 + 0*g**2. Give m(o(n)).\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4161 + -4134. Let o(b) = -b**3 + 28*b**2 - 27*b + 9. Calculate o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007700708 to 5 dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11817.\nAnswer: -2\/11817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 - 7*m + 3. Let y = 26 - 19. Let k be b(y). Does 12 divide 672\/14*k\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 29*m + 8. Let u be 17 + (-24)\/4 - (1 - m). Suppose u*v + 10 = 3*v. Let b(g) = -g**3 - 6*g**2 - 4*g - 3. Determine b(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*v - 13*v + 49*v - 2 - 121*v.\nAnswer: -178*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -13. Suppose 6 = -g*p - 3*l, 5*p - 2*l + 5 = 30. Suppose x = -p + 5. Sort 3, x, -1 in descending order.\nAnswer: 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 111*t - 4420. Let i be z(42). Solve 3*b + 248 = i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10780873 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 2, -0.9, 8.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from lxxxxxxxl?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*j + 5*u - 2 = -264*j, 0 = -2*j - 5*u - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -479, -1940, -4375, -7784, -12167, -17524, -23855?\n\"Answer: -487*f**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 140 = 4*k, 3939*k + 224 = 3944*k + 6*c for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -h. Suppose 0*s + h*g = -2*s + 24, 4*s = -3*g + 20. Factor 2*d - s*d**4 - 6*d**2 + 6*d**3 + 4*d**4 - 4*d**4.\nAnswer: -2*d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 3*v - 20*v**2 - v + 0*v**2 to the form j*v + w*v**2 + c and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-4) + 1\/4. Suppose -4*i = b*q - 4*q - 2, 10 = 2*q + 2*i. Differentiate 4 + p**3 + 2*p**3 - 2*p**q with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 89*c**4\/6 + 75*c**2. Let j(i) = 2*i**2. Give m(j(n)).\nAnswer: 712*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-634)\/2219)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 298 + 66 = 0. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103970991 to 6 decimal places.\nAnswer: -0.010397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-6)*6 - 117. Let z be j\/30 + (-62)\/465. Let r(t) = -t**3 - 4*t**2 + 4*t + 1. Give r(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2245016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**2 + 102*w - 280. Let h(p) = 13*p**2 - 77*p + 209. Let y(v) = -13*h(v) - 10*k(v). Give y(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*0.00587.\nAnswer: 0.14675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-2 + (-20)\/(-8)) + 13. Let v(x) = x - 9. Let j be v(q). What is the highest common factor of 18 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 180959 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 640549 to the power of 1\/2, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, 1 u, and 1 f when four letters picked without replacement from huhijffshjfuisisj?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 70. Suppose 8*n = 6*n + 12. What is the smallest common multiple of (4\/n)\/(-5*4\/(-240)) and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 215 = -6. Suppose 5*f = l + 6. Suppose 3*t - f*t = -60. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*v**4\/5 + 13402*v**3\/5 + 2496492*v**2\/5 + 155474424*v\/5 + 12869712.\nAnswer: 2*(v + 186)**3*(12*v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251344 by 2732.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*(-5)\/35 + 624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(20\/9))\/y*y*y**(-8\/5) assuming y is positive.\nAnswer: y**(-127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201330 (base 4) to base 2.\nAnswer: -100001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:16 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 21*k - 51. Let j = 402 - 384. Let u be f(j). Solve -u*c = -c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31716*d - 63437*d + 29*d**2 + 31721*d.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/39, 5\/2, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3704*1\/(-644) + 3*-2 and 32\/207.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 419450 and 0.083?\nAnswer: 34814.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(6\/11)*z\/z**(-24)*z assuming z is positive.\nAnswer: z**(303\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1533919 - -10716081. Round o to the nearest one hundred thousand.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 22248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 53925?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*c - 134*c + 426 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 3 - 3 + (-28 + 8*s + 28)*(-45 + 23 - 15) + (-1 + 1 - 2)*(-6 + 2 + 2)*(-9*s - 21 + 21).\nAnswer: -330*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -102 + 77 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 612725 divided by 20\nAnswer: 122545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -5*y**3\/2 + 2*y + 27. Let k(i) = -14*i. Calculate k(z(o)).\nAnswer: 210*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-10) + (45\/(-2))\/(-5). Let m be (2 + 0\/b)\/(4\/6). Sort m, 1, 7, 2 in descending order.\nAnswer: 7, m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-161)\/140)\/((-8)\/(-10)). Let g = h - -5\/16. Find the common denominator of -44\/3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/40 - t**5\/15 - 8*t**2. What is the third derivative of q(x) wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 4. Let s be i(-9). Let v = 313 + -325. Which is the biggest value? (a) v (b) s (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643130877, -643130875, -643130873, -643130871, -643130869, -643130867?\nAnswer: -643130865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 12*y + 18 + 60 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*o - 3*o = 50, -f + 5*o = -30. Which is the third biggest value? (a) f (b) -0.4 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -19*l + 152. Let f(i) = 86*i - 684. Let n(b) = 2*f(b) + 9*u(b). Let v(z) = 2*z + 8. Let y be v(8). Suppose y = 4*h - 0. Calculate n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 24*k**2 + 3*k + 81. Give j(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 10)\/(-3*(-4)\/(-6)). Is 3\/2254 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(140) + (sqrt(140) - ((sqrt(140) - 5*sqrt(140)*2) + sqrt(140))))\/sqrt(10)*-3)\/((3*(sqrt(14) - sqrt(224)))\/((sqrt(10)*1)\/sqrt(5))).\nAnswer: -2 + 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28.9 times -5\nAnswer: -144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 + 14*r**2 - 21*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -330.5 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-2 - 3)*-1 + -4). Let o = 5461\/2 - 4898519\/1794. Is o at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 129. What is the remainder when 29 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11474*s - 5345. Let w(m) = -7649*m + 3563. Let n(z) = 10*k(z) + 16*w(z). What is the first derivative of n(y) wrt y?\nAnswer: -7644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-16)\/(f*((f\/(f\/((((f\/(f\/((f\/(f**(-1)*f))\/f)))\/f)\/f)\/f*f*f)))\/f)\/f))\/(((f**(-3)\/f)\/f)\/f)**(-3\/5))**(-6) assuming f is positive.\nAnswer: f**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 156 = -2*j + j, j - 4 = 0. Suppose -o + b = o. Suppose 0 = -11*x + 10*x + w + 1, 4*w - 16 = -x. What is the greatest common factor of o and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/405 and 35\/2553.\nAnswer: 344655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*m**3 + 533*m**3 + 764*m**3.\nAnswer: 2218*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a486 + -56?\nAnswer: -a4dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002695 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-31)*(-4)\/(-3).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 0 + 6 - c. Let p be i(-4). Differentiate -p + o**3 + 6*o**3 - 4*o**3 wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 4*l - 21 = 0. Suppose -13*g - l = -94. What is the third derivative of 21*j**2 - g*j**2 + 19*j**2 - 32*j**5 wrt j?\nAnswer: -1920*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 2*o - 75 + 70, r - 3*o = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/261 and (-2)\/(-3) + 2592\/7047?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + -5. Let n = 45 + r. What is the remainder when 43 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*j - 1206, -v = -2*j - 0*v + 483. What is the greatest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -76*k + 518 - 146. Let v(j) = -j**3 + 4*j**2 - j - 1. Let s(m) = 4*m**3 - 17*m**2 + 5*m + 5. What is k*s(i) + 18*v(i)?\nAnswer: -2*i**3 + 4*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g**2 + g - 2*g + g**3 + 1 + 14. Let w = 1377 - 1362. Let n be t(w). Solve 0*k - 3*u - 30 = -3*k, 5*k - u - 30 = n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6437045498 to the power of 1\/3, to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 3108.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -166591 from -102349137.\nAnswer: -102182546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304 + 614. Suppose i = 11*r - 9*r. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(5 + -4 + sqrt(147)) + -3*2*3*sqrt(147))*5)**2.\nAnswer: -25200*sqrt(3) + 530100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 84. Suppose -2*t + 3*t - n*s + 14 = 0, -3*t - 10 = -4*s. Solve -3*m - 8 = -2*m + t*f, -m - f = 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*h - 144 = 614*h - 314*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9166.8 less than 200319765?\nAnswer: 200310598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103772*x**4 + 1057*x**2 + 18*x wrt x?\nAnswer: -2490528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -457? (a) 0.07 (b) 25 (c) -0.3 (d) 5 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-21)*21\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272*t**4 + 165*t**2 + t**6 + 29*t**4 - 5508*t**2 - 116*t**2 - 1000*t**2 wrt t.\nAnswer: 120*t**3 + 7224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -179341\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -2, 3, -49, -3 in decreasing order.\nAnswer: 49, 3, -2, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:12 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 421 + -5051\/12. Let w(l) be the second derivative of 0 + 5*l + 0*l**2 + 0*l**3 - u*l**4 + 1\/10*l**5. What is the third derivative of w(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69346, 68891, 68436, 67981, 67526, 67071?\nAnswer: 66616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(252) - (4 + sqrt(252) + -2)**2) + 4)*-1*-3.\nAnswer: -2268 - 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7))**(2\/25)\/((n**0\/n)\/(n\/n**(-22))) assuming n is positive.\nAnswer: n**(4202\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20201 + 3?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 5, -1, -7, -13, -19?\n\"Answer: -6*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3112350 (base 7) to base 16.\nAnswer: 5b11f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.629709 or 0.06?\nAnswer: 2.629709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 minus 4.9103563?\nAnswer: -13.2103563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -11 - 12) + 4 - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 201 + 0*u - u - 12*u.\nAnswer: -21*u + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 + 4. Let l = 60 - 65. What is the smallest common multiple of 2 + 4\/6*3 and q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347.000697 + -347. Round p to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1083\/4 - 272. What is the smallest value in -2\/5, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.064 (b) -1\/5 (c) -0.4 (d) 0.2 (e) -1591 (f) -2 (g) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 - 4 + (-1 - 3 + 5)*(2 + 2 - 3) + 0 + 2 - 3)*(-180*t - 17*t - 96*t) - 3*t + 3*t - t.\nAnswer: -1759*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-20) - 4\/(-10). Let g(i) = -i**2 + i + 2. Let w be g(q). Suppose 4*s - 4 + 0 = w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -160\/3. What is the closest to y in 0.4, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/343914 and 3\/301.\nAnswer: 2407398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b + 0*b)*(-2 - 10*b + 2) - 81*b**2 - 49*b**2 + 154*b**2 + 2*b.\nAnswer: -6*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2b9?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 30. Let g = 30.2 + n. Which is the smallest value? (a) 4 (b) g (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (6 - (-2 + 1) - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1982, 2023, 2090, 2183?\n\"Answer: 13*a**2 + 2*a + 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**4 + n**2 - 1. Let q(d) = -686*d**5 - 3620*d**4 - 5628*d**3 - 2398*d**2 - 304*d + 6. Let r(u) = -12*a(u) - 2*q(u). Find t such that r(t) = 0.\nAnswer: -19\/7, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 44*s - 131*s + 39*s + 46*s - 259350.\nAnswer: -3*s**2 - 2*s - 259350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 5*l - 6*f, 9066 - 9063 = l + 3*f for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33386246 is divided by 247?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 313 - 935 + 307 + 315 - 4*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -894 times -0.009?\nAnswer: 8.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 36, 2110, -2, -1, -18.\nAnswer: -18, -3, -2, -1, 0, 36, 2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423433271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1932*549\nAnswer: 1060668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 115 - 111. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13744068 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.837 + 0.137. Let m = d - -61.7. Let g = 60.76 - m. What is the third smallest value in 2, g, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 469329, 938629, 1407919, 1877193, 2346445, 2815669?\n\"Answer: -r**3 + r**2 + 469304*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 75 - 33. Solve 5*m - c = 2*m - 4*l, -l + 13 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = 9*v - 5*v. Let y = -113 - v. Suppose -3*k + 163 = -o + 2*o, 0 = k - 5*o - y. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -473 - -469. What is the third biggest value in -0.3, r, 9, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r + 6*r + (r - 4*r + 5*r)*(4 + 3 - 5))*(2*r**2 + 3*r**2 - 2*r**2).\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 450513.7ml in litres?\nAnswer: 450.5137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4829 = -433*l + 872*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, -21, -5, 0.524, 0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = -0*q. Let w be (q\/6)\/((-4)\/(-16)). Find the second derivative of 31*d**2 + 15*d**w - 32*d - 16*d**2 wrt d.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 12126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 75. Let v = y + 65\/2. What is the third smallest value in -0.1, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p = -3*f - 250, 0 = -5*f - 10. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15313 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 3*y**2 + 15*y - 1. Calculate the remainder when l(-5) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632427.3 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(0 - 1 - 1 + (0 + 0 - 2)*(-3 + 1 - 3) + 2 - 5 + 1)*(4750 - 4684 - r + 0*r).\nAnswer: 6*r - 396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3. Suppose -t + 4 = v. Sort 4, t, 0.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(((-32)\/(20736\/27))\/(3\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (286\/(-33) + 7)\/((-1)\/(-3)). Suppose 0*v = 4*v - x - 1, 0 = 3*v - 4*x + 9. Sort -0.2, t, v in increasing order.\nAnswer: t, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c5 + c688e?\nAnswer: c6e64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*q = y + 6, 0 = -2*y + 4*q - 8. Let t(f) = 90*f**2 + f + 2. Let u be t(y). Suppose 31*r - 27*r = u. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2282 by -11.\nAnswer: -2282\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 9*f**2 + 3*f + 22. List the prime factors of g(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 + 4025*d**4 + 12105*d**3 + 12115*d**2 + 4040*d.\nAnswer: -5*d*(d - 808)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -9) + (-2 - 3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 170751875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y + 6. Let l be w(0). Let f(d) = 3*d**2 - 7*d + 12. Let j be f(2). Let i = j - l. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2. Let v = -19 + 18. Calculate y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 5*n - 1. Let b(j) = -4*j**2 + 2*j + 1. Let t(o) = 5*b(o) + 3*y(o). What is t(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*y + 5*x, y - 5*x = -y - 29. Let t = -4 - y. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -2*d - 1\/3*d**3 + 1\/5*d**5 + 2\/3*d**4 - 1\/21*d**7 - 2\/15*d**6 + 24 - 2*d**2. Let p(x) = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 2 + sqrt(931).\nAnswer: -2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19877a (base 11) to base 7\nAnswer: 2405320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)\/l**(-2\/5)*(l*l\/(l*l*(l\/((l**4\/l)\/l*l))\/l))\/l**6 assuming l is positive.\nAnswer: l**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 1215*f - 40161. Calculate s(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -281 - -25?\nAnswer: -25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1842.\nAnswer: 184.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 1 + 4)*(3*c**5 + 3*c**5 - 4*c**5).\nAnswer: -88*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277434192 to the nearest integer?\nAnswer: 16656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/12 + n**3\/6 + 2*n**2. Let h be g(1). Suppose -c = -h*c - m - 4, 5*c = -2*m - 11. Sort 0, c, 2 in ascending order.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219207 is divided by 894?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37163*o + 37180*o + 476 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.90714 and 2862 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-3))\/(28\/12))\/((-3)\/(-42))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1046857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -8*b**2 + 0*b**5 + 0*b**4 + 0*b + 0*b**3 - 1\/160*b**6 + 0. Factor v(x).\nAnswer: -3*x**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**2 - 2*n - 2. Let y be p(-2). Suppose 23*s + 3135 = 8747. Suppose -40*k = -y*k + s. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*z + 5*n, -z - 5*n = 3*z - 15. Suppose 15*g - 20*g = z. What is the second biggest value in g, 0.3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 22*r - 185 = 0, 5*z - 4*r + 202 + 151 = -2*r + 468 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 5*k)*(1 + 4 + 5 - 15).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -98388, -98389, -98390, -98391, -98392?\n\"Answer: -c - 98387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*m - 10*m - 95*m)*(2*m - 2*m**3 + 0*m**3 - m**3).\nAnswer: 477*m**4 - 318*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let r(q) be the first derivative of q**3\/3 + 2*q - 5. Calculate 2*d(b) + r(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Is ((-2)\/3)\/(o\/(-375)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*a**3 - 675*a**3 - 389786*a**2 + 389786*a**2.\nAnswer: -849*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 2, b: 3, c: 1, t: 1}. Give prob of picking 1 b and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.93 + -10.63. Let u = -59 + w. Which is the closest to 1\/4? (a) -5 (b) -17 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/211 (c) 4202 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 63*h**2 - 575*h - 1155. Calculate a(-2).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*s**5 - 73*s**3 - 2974*s**2?\nAnswer: 600*s**2 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 334, 336, 340, 346, 354, 364?\n\"Answer: t**2 - t + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose l = c - 4. Differentiate 0 + 12*m - 3 + c with respect to m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-77))\/(242\/(-11)). What is the nearest to b in 1\/4, -1\/2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.02 (c) -3\/14 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20370.135 minutes to hours.\nAnswer: 339.50225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2)*(-1018*i**3 - 9904 + 9904).\nAnswer: 5090*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -265, -12, 4 in increasing order.\nAnswer: -265, -12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + t - 47*t - 2*t + 51*t + 1386.\nAnswer: t + 1386","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01479 in 3\/16, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b**4 + 12318*b**3 - 21240*b**2 + 6528*b = 0.\nAnswer: 0, 2\/5, 4\/3, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:00 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 + 5*p**2 + p - 4. Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328246.3 millimeters in nanometers?\nAnswer: 328246300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1319698.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-27)\/8 + 15*(-7)\/(-35).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (8\/(-6) - 120016\/12480)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 20*v - 31. Suppose 29*f - 8*f - 378 = 0. Let d be g(f). Solve 0 = d*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972275182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 996\/54) + (-7924)\/(-252) + -31?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 6*t**2 - 2*t - 6. Let o(u) = u**2 + u + 1. Let p(g) = -4*o(g) - v(g). Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 11*x**2 + 13*x + 16. Let k be m(-12). Let z be k\/(-12)*(-12)\/14. Which is greater: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -605?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/150 + 2*w**4\/3 + 61*w**3\/45 - 779*w. Find h, given that z(h) = 0.\nAnswer: -1, 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620, 6508, 14652, 26052, 40708, 58620?\nAnswer: 79788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 208 - 208. Suppose -d - 3*c = -q*c + 2110991, -d = -5*c + 2111015. What is d rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33198 - 37800162\nAnswer: -37766964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37540721?\nAnswer: 31, 79, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/57, 4\/5, -3 in descending order.\nAnswer: 4\/5, 0.5, 1\/57, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301 + -523?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 156*b - 151*b + 235, -5*i + b + 47 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5837 is divided by 951.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + y + 1 = 0, -y + 0*y = i - 2. Let t = 3 + i. Find r, given that -32\/7*r**3 + 10\/7*r**4 + 0 + 8\/7*r**2 + t*r + 2*r**5 = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(12\/80) - -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 40.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 74?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 - 76434*s**3 + 152883*s**2 + 76434*s - 152880 = 0 for s.\nAnswer: -25480, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32179.\nAnswer: 7, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 + 4 = 0. Let x be ((-68)\/6)\/(y\/(-9)). Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0)**(-43) assuming l is positive.\nAnswer: l**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28561.64 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3619, 4, 0.5.\nAnswer: -11, 0.5, 4, 3619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u + 12 = 0. What is the second derivative of u*j**3 + 5*j - 16*j**2 + 8*j**2 + 8*j**2 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 20. Let x be i(8). Suppose -5*r + 2 = 4*a - 2*a, -3*r - a + 2 = 0. Solve -2 - x = r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163335858.\nAnswer: 2, 3793, 153353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2100 and 10675?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 5*f - 6. Let t(r) be the second derivative of -r**3\/6 - 664*r - 3. Calculate -5*t(l) + v(l).\nAnswer: 3*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 5, 0, 2 in decreasing order.\nAnswer: 5, 2, 0, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -620, -2245, -4856, -8441, -12988?\nAnswer: -18485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2664*i + 308*i + 1962*i - 2726*i.\nAnswer: 2208*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/5)\/(m*(m*m\/m**(1\/6)*m)\/m)*m**(-5)\/((m**(-2)\/m*m)\/m)*(m**(-2\/3))**(1\/11)\/(m**(-1\/4))**(-44) assuming m is positive.\nAnswer: m**(-5443\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*q + 1907792, -63*q + f - 2861739 = -66*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 146 + -32. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -484.09 + 491. Let t = i - 7. Which is the second smallest value? (a) 2\/3 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 30 = -11*h. Let f(v) = -v + 29. Calculate the remainder when -1 + ((-70)\/(-2) - -1) is divided by f(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 j when four letters picked without replacement from {i: 1, j: 2, m: 2, p: 1, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20411143 - -110?\nAnswer: -20411033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c*c)**(-2\/51)\/(c**(1\/20)\/c**5) assuming c is positive.\nAnswer: c**(1013\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8346789 and 3894.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*a - 96*a + 2770850 + 686941 = 0. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 - 3*b**3 + 12*b**2 - 13*b**2 + 14*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1501368.99 - -1501387.9899986. Let q = 26.51 - 7.51. Let r = s - q. What is r rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(3 - (-9)\/(-2)). Suppose 5*y - 303 = -c*z + 122, -3*z + 2*y = -397. Suppose 2*o = -3*o + z. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*c**2*z**5 - 3*c**2*z**2 - 1825*c**2*z + 6*c*z**2 wrt z.\nAnswer: -360*c**2*z**3 - 6*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65 - 0)*66\/(-55). What is the smallest common multiple of (-26)\/(-65) - y\/5 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 162\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2534349*p**3 + 11691*p**2 - 11691*p. Let s(t) = 1301*t**3 - 6*t**2 + 6*t. Give 2*d(j) + 3897*s(j).\nAnswer: 1299*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*2)**2 + ((sqrt(81) - (sqrt(81) + sqrt(81)*1)) + sqrt(81))\/sqrt(3).\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/9)\/f)\/f*f**0*f*f*f*f**(-3\/11)*f\/(f*f*f*f\/(f\/f**(3\/5))*f) assuming f is positive.\nAnswer: f**(-1642\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2829, 5491, 8153, 10815, 13477?\nAnswer: 16139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 84. Let o be j(0). Let c be ((-67)\/((-2077)\/186))\/(3 + 45\/(-6) - -5). What is the greatest common factor of c and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 45. Let g = -9 + d. Suppose 3*r = 3*f - g*f, -r + 6 = f. Solve r*a = -8 + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -65, 0.09, -1 in decreasing order.\nAnswer: 2, 0.09, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 23757 = 3*b, 2*b - 14368 - 15311 = -5*n. Suppose 0 = -20*o + 17*o + n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -6. Which is the biggest value? (a) p (b) 3 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 35, -0.15 in descending order.\nAnswer: 35, -0.02, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + (-1*sqrt(297) - sqrt(297)) + sqrt(33))\/sqrt(11))**2 - (sqrt(192)*1 + 0)**2 - -2*(sqrt(3) + sqrt(3)*-3*-3 + -2*sqrt(3)*2).\nAnswer: -180 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 611 - -58?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (11 + 1 + -5 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/9, -0.5, 5, -401, -0.1?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*(d*d**(-8\/5))\/d*d)\/(d**5\/(d**(-1\/3)\/d)) assuming d is positive.\nAnswer: d**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*o**2 + 14694*h*o + 3*h + o**2 - 2772 wrt h?\nAnswer: 2*o**2 + 14694*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(10\/(-4)) - -140. Let a be (g\/(-4) + -2)*-6. What is the common denominator of 2 + a\/(-27) + -1 and 91\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*n**3\/7 - 276*n**2\/7 + 12*n\/7 = 0. Calculate n.\nAnswer: -2, 0, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 2*q, w + 3*q = 20. Let z(f) = -9*f - 13. Calculate the remainder when z(-3) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 18*r + 5 - 1 - 2 - 2*r**4 - 2*r**3 - 2*r**2 to j*r + m*r**3 + s + u*r**4 + g*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.57798mm to nanometers.\nAnswer: 92577980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 29, 3, -11 in descending order.\nAnswer: 29, 3, 2\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1651*d - 2635*d + 1657*d.\nAnswer: 673*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1182, 2438, 3720, 5028, 6362, 7722?\n\"Answer: 13*t**2 + 1217*t - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1123 = 3*v, 0*v - 3*b + 1891 = 5*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303323400 (base 5) to base 2\nAnswer: -100101100010000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 5. Let l be h(-4). Let q be 1\/l + (-19)\/(-5). Suppose -1 = -r + q. Solve r*c - 4*c + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-11))\/(a\/(a**3\/a)))**(7\/6)*((a\/(a\/a**(1\/8)))\/a**(1\/2))**(-38) assuming a is positive.\nAnswer: a**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - y**2 - y + 2. Let w(p) = -19*p**3 + 17*p**2 - 4*p - 20. Let z(l) = -6*r(l) - w(l). Calculate z(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -4 + 4)*3\/(-9). Let r be (0 + -14)*j\/4. Suppose -r*i = -6*i - 199. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101110122120 + -12?\nAnswer: 101110122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or 7?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 13, a: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3445 - -0.4.\nAnswer: 2.7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107575634*y**4 - 2*y**3 + 14*y**2 + 7*y + 4107 wrt y?\nAnswer: 2581815216*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7*k + 1080 = 0. Let w(v) = 2*v**2 + 3*v - 2. Calculate the remainder when k is divided by w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 2*p + 2. Let x(v) = -13*v**2 + 4*v - 5. Let z(i) = 5*h(i) + 2*x(i). Let o be z(1). Solve 3*n + 15 = o*m, -4*n - m + 0*m - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-24)*204\/(-187).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + ((sqrt(190) + (sqrt(190) - -1*sqrt(190)))\/sqrt(5) - sqrt(38)))\/(sqrt(14)\/(sqrt(28)\/sqrt(4))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 0, 22, 5, -12, -16 in descending order.\nAnswer: 28, 22, 5, 0, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*o - 5, -17 = -4*t - 3*o - 6. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1088, 1088, 1090, 1094, 1100, 1108?\n\"Answer: n**2 - 3*n + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47032837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275350?\nAnswer: 2, 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11000000000111 (base 2) to base 12\nAnswer: 7147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 103 + 4*x - 3*x - 103. Let o(i) = 1141*i**2 - 2 + 2 - 1128*i**2. Calculate g(o(k)).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6.3?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -84, -1\/6, -0.4, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 30 - p**3 + 6*p**2 - 90 + 33 + 31 - 5*p. Let s = -4 + 8. What are the prime factors of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12641 is divided by 2103.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/226 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*m - 3*o + 4*o, 0 = m - 5*o - 27. Let i = 34 + m. Let z = 137\/3 - i. Which is the third smallest value? (a) 2 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5 + 6*b**2 - 10*b**2 + (-2*b + b + 0*b)*(b - b + b).\nAnswer: -5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d + 9. What is b(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -28209*v - 281980. Determine b(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 1\/2*i**4 + 0*i + 1\/5*i**5 - i**2 - 1\/3*i**3 + 21. Determine y, given that d(y) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 77*a**3 - 16028*a**2 + 1428204*a - 5451696.\nAnswer: (a - 102)**2*(a - 4)*(a + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:35 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (-27)\/((-270)\/(-40)) - (-4018)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 35. Let o(u) = -3*u + 79. What is y(o(g))?\nAnswer: 6*g - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (106\/(-212))\/((-22194)\/(-22196) + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1686671.01650106 - 118317999.98342794. Let m = n + 120004531. Let h = m + 140. What is h rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 + (6 - 3) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -21*y**4 + 48*y**3 - 81*y**2 + 39*y - 12. Let c(q) = 5*q**4 - 12*q**3 + 20*q**2 - 10*q + 3. Let g(l) = 9*c(l) + 2*j(l). Find z, given that g(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -17. Let v be 1\/22*(4 + i). Which is the biggest value? (a) 0.4 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 13 + 3)*(2*p + 5*p + 3*p)*(0*p - p + 3*p).\nAnswer: 220*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -706 - 2*q - 4157 + 565 to the form s*q + r and give r.\nAnswer: -4298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1797.4.\nAnswer: -539.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Suppose f + 3*i = 3*f - p, 4*f = 5*i + 11. Suppose -5*z - 3*a + 2 = -20, 12 = -2*z + f*a. Solve -1 = m - z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from bahwhbaqhbweaeqa?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from {g: 2, y: 4, j: 8, w: 1}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 + -229.7. Which is the nearest to -1? (a) -0.14 (b) k (c) -1\/10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 2*l - 1. Suppose 2*s - 35 = -3*s. Calculate the remainder when n(s) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3059522472 and 3628.\nAnswer: -3059518844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -102*p**3 + p**2 - 3*p - 1. Let v be h(2). Let t = 1810 + v. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9652 * -0.24\nAnswer: 2316.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -23*h**3 + 118*h**2 - 109*h + 14. Let n(d) = -47*d**3 + 235*d**2 - 217*d + 29. Let l(u) = -7*f(u) + 4*n(u). Determine r, given that l(r) = 0.\nAnswer: 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11323922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*a - 106 = 18, -a = -2*f + 248. Calculate the highest common factor of f and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kusu when four letters picked without replacement from kbebeosssooukuoo.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102220301 (base 4) in base 7?\nAnswer: -12363426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11330310331011 - -30?\nAnswer: -11330310330321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 440*y**2 + 425*y + 870.\nAnswer: 5*(y - 87)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 524.\nAnswer: -3\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 14, -3\/5, -7, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15120485?\nAnswer: 5, 19, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -59*(2 - (-159)\/(-81)). Let r = x - -1027\/297. Let s = r - 13\/11. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 - 29 = 42*p - 351 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6943492 centimeters to meters.\nAnswer: 0.006943492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 2*r)*(598*r - 773*r + 3494*r).\nAnswer: -16595*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31335?\nAnswer: 3, 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -22*s**3 - s**2 + s - 1. Let r(i) = 95*i**3 + 7*i**2 - 103*i + 5. Calculate 4*q(u) + r(u).\nAnswer: 7*u**3 + 3*u**2 - 99*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 68. Determine m(-15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 1) + (71 - 54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quuq when four letters picked without replacement from {q: 4, u: 14}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t + 8 - 8 + (6 + 5 - 3)*(6*t + 2*t - 4*t) - 2*t - t + t - 2*t - 3*t + 3*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:29 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -92178 divided by -23\nAnswer: 92178\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**3*n*r**3 + 9035*m**3*n*r**2 + m**2*n*r**3 - m**2*r**3 - m**2 + 1192*n*r**3 + n wrt m.\nAnswer: -36*n*r**3 + 54210*n*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 3*a**3 - a - 10. Suppose -5 = -q - 4. What is the units digit of x(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327314 is divided by 65452.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-135)\/(-2))*330\/(-24)*(-2)\/3?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/31)*w*w**(1\/3)*w*w*w**(-1)*w**(-5\/2)*(((w\/w**0)\/w)**43)**(-1\/3) assuming w is positive.\nAnswer: w**(-43\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -572436 != -4007042\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.43 - 4.83. Put 0.5, k, -11, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.5, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (7 - 2) + (-5 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:38 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**7*x)\/x)**(1\/29))**(-4\/7))**(-9\/7) assuming x is positive.\nAnswer: x**(36\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:58 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 4*u**2 + 9*u - 16. Does 11 divide x(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**6\/6 + 47*y**5\/4 - 265*y**4\/4 - 2275*y**3\/6 - 625*y**2 + 4871*y. Suppose w(m) = 0. Calculate m.\nAnswer: -50, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose -w - d*w = -9. What is the third biggest value in -5, w, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009250289 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3168)\/990 - (-2 + (-8)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754120342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1702492875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.16 + -11. Let m = x + 3.84. Which is the closest to -2? (a) 2\/9 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 - 11*n + 9. Let x(s) = -13*s**2 - 16*s + 13. Let y(q) = 7*k(q) - 5*x(q). Calculate the remainder when 18\/45 + 98\/5 is divided by y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.01 times 335.611\nAnswer: -4701.91011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 9*d - 13. Let v(n) = 28*n - 39. Let w(r) = -4*v(r) + 11*y(r). Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, -0.1, 2\/5, 12\/391, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/15, -1.4, 0.3 in descending order.\nAnswer: 0.3, 1\/4, 2\/15, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psxp when four letters picked without replacement from {s: 5, x: 4, p: 5, u: 1}?\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, x: 5, n: 6, p: 1}. What is prob of sequence nxxn?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233 + 103. Let x = -62 - o. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 708 - 770. Let q = -9149517 - -9149578.999928. Let d = q + r. Round d to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/40 - 11*k**3\/6 - 16*k**2. Differentiate c(s) with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = -4*a, -3*a + 26 = a + 5*b. Suppose p = 3*p - a. Factor 0 - 10\/7*q**p + 8\/7*q**3 + 2\/7*q.\nAnswer: 2*q*(q - 1)*(4*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -4*f. Let v be (-6)\/(-9) + (-2)\/(-6). Calculate the greatest common divisor of v and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/72 + 19*p**5\/120 - p**4\/3 - 9*p. Let d(c) be the third derivative of w(c). Is d(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -461*h**3 - h**2 - 138 wrt h?\nAnswer: -2766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*g = g + 8, -3*a - 4*g = -15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17415 + 699194265?\nAnswer: 699176850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -151e + 3f5?\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11*(-2 - -1) - 0. Let h(v) = 4*v + 5*v**2 - 4 - 2*v**3 - 7*v**2 + 3*v**3. Let q be h(4). What is the greatest common divisor of r and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212906 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 >= -5436537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 588 and -0.71.\nAnswer: 587.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9476 + -5.866. Which is smaller: -0.07 or b?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(27\/(-675))\/((-9)\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4800?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6614 + -1190519\/180. Let y(h) be the third derivative of 0*h - 19*h**2 + 0 + p*h**5 + 1\/36*h**4 + 1\/18*h**3. Let y(t) = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 10. Let g = 11 - 9. Suppose g*d = -0 + 2, d = v - 53. What is the greatest common divisor of v and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**7\/840 + 7*w**6\/360 - w**5\/15 - w**4\/3 + 28*w**3\/3 - 17. Let n(f) be the third derivative of k(f). What is n(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1882 + -1864. Solve 8*t = s - 58 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/11 - 16*d**3\/11 + 510*d**2\/11 - 2252*d\/11 + 160 = 0.\nAnswer: -22, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/99 (b) -10\/11 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 35 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 7*g = 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.775 and 53.57945.\nAnswer: 54.35445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 209610 divided by -69870\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 7. Let o be (-1)\/((-69)\/(-195) + 10\/(-65)). Give t(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/51 and 9\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6588 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 1. Determine u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1183 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18 - 40 + 43*i + 22. Let n(a) = 3*a. Give w(n(t)).\nAnswer: 129*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18301 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 - 19 = 0. Suppose p*m = -m + 44. What is the smallest common multiple of -1 - 1 - (-3 - 3) and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 138.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*w - 5, 4*s = w + 2*w - 18. Let u(d) = 3*d**2 + 13*d + 64. Let h be u(-5). What is the second biggest value in h, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:51 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - d = -5*k + 2*d, 4*d = -16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r - 120 + 283 + 2*r**3 - 24*r**2 - 163 to the form j + u*r**2 + h*r + c*r**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 74. Suppose -5*a = 40 + 25. What is the smallest common multiple of 7 and h(a)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**3 - j - 1. Suppose -v = 2*v - 36. Let t be (-2 + 28\/v)*-3. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12554389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9 + 15. Let s(z) = -8 + 6*z - 3*z**2 + 0*z**2 + 2*z**2. What is s(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 1560 = -31*z. Let s = 101 + z. Solve 60*u - 2 = s*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 + 1056*z**3 - 2124*z**2 + 1064*z = 0 for z.\nAnswer: -266, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 44*h**2 - h. Let q be l(-2). Differentiate q*s**3 - 3 - 16 - 191*s**3 with respect to s.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -63 - (0 + -1). What is the units digit of (-4 - (-20)\/6)*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.3, -110051, 0, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1728 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(99)\/sqrt(144)) + (-5*(sqrt(1700) + 0) - sqrt(1700)).\nAnswer: -56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139767 + 773066.\nAnswer: 912833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + 0.42. Which is the smallest value? (a) x (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*a - 9*a + 113*a**2 - 13*a**2 - 138 + 343*a**2 + 30*a wrt a.\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:35 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 - 6*v + 2. Let l be g(7). Let u = 11 - l. Suppose 0 = u*d + 3*d - 90. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 9*s**2 - 7*s - 3. Let x be i(8). Suppose -2*b + 24 = 3*f - 5*b, 0 = -3*f - x*b. Suppose -3*u = -f*u + 64. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l. Let f(x) = 5*x - x - x. Give v(f(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -478 (base 15) to base 3\nAnswer: -1101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1088) - (sqrt(1088)*2 - sqrt(1088))*-6) + -5) + 5)**2.\nAnswer: -23520*sqrt(17) + 1920457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 18 + 3 = 4*i. Put 4, -427, i in increasing order.\nAnswer: -427, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 6*c**2 - 5*c - 5. Calculate g(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 - 338. Let p(n) = -n**2 - 8*n + 4. Let z be 1 - -2 - (-77)\/(-7). Let k be p(z). Which is the closest to s? (a) -0.1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -1458826?\nAnswer: 1458825.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-36)\/(-66)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289 by -111222.\nAnswer: -289\/111222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.9612*-0.5.\nAnswer: 25.9806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.66 - -2.65998762. What is a rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 75 - 3. Suppose 0 = -6*b + 3*b - f. Let p = b + 27. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 14. What is m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23585667*m**2 + 43972266.\nAnswer: 47171334*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1644720894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33231143?\nAnswer: 11, 37, 81649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -183876\nAnswer: -183881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 8) in base 11?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = 4*y, -2*l - y - 1 = -0. Let q be (-10)\/(-2) + (-4)\/(-2). Solve q = -2*f + l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -166. What is the hundreds digit of (c\/(-15))\/(-4) + (-14156)\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 - 2628.23.\nAnswer: -2577.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/12 + 4\/(-24). Suppose y - 20 = -3*v, 4 = y - d. Solve 2*o - v = l - 14, 2*o = -5*l + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*v = -16 - 11, 5*w = -5*v - 10. Let y = 76\/5 + -72\/5. Find the common denominator of y and w + (1001\/(-6))\/11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/8820 + v**6\/630 + v**5\/140 - 19*v**4\/24 - 30*v**2. Let j(t) be the second derivative of z(t). What is s in j(s) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 3*v. Let l be n(-2). Is 46\/l - 1 - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((38\/(-72))\/(-19))*29\/87\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 6, r: 3, h: 4}. Give prob of picking 1 r and 1 j.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*f + 22 = -3*f, 4*f = 16. Suppose -2*t + 2181 = -o*t. Let m = t + 1062. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i - 4299 = -7449 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -790 + 1312. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.75949552 + -0.63.\nAnswer: -4.38949552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -26. Let r(i) = 4*i**2 - 11 - i**2 + 10 - 2*i**m. Give r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 54649*r**3 + 746874178*r**2 + 6718425120*r + 13434883200.\nAnswer: (r + 3)*(r + 6)*(r + 27320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 117633.\nAnswer: 1411596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13122, -25315, -36576, -46905, -56302?\n\"Answer: 466*q**2 - 13591*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11514109, -11514121, -11514133?\nAnswer: -11514145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32450, -32455, -32460, -32465, -32470, -32475?\nAnswer: -32480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416 + -415.99999791. Round f to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 4*l + 2. Let y be j(3). Let n be 50399993\/(-42) - y\/(-6). Round n to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6859, -6858, -6857, -6856?\nAnswer: -6855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 238*s**5 - s**3 + 184*s**2. Let r(l) = -l**5 - l**3. Let t(n) = g(n) - r(n). What is the third derivative of t(w) wrt w?\nAnswer: 14340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 5*s - k - 16, 5*s - 2*k = 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/15)*j\/((j*j*j\/j**5*j)\/j))\/((j\/((j**(-9)\/j)\/j))\/j**(-2\/9)) assuming j is positive.\nAnswer: j**(-409\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26533 - -32069. Calculate the greatest common factor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13558524 and 1008.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-5\/3)\/p)*p*p*p*p\/((((p\/(p**(10\/3)*p))\/p)\/p)\/p)*(p**(1\/9)*p*p)\/((p\/(p**(1\/4)*p))\/p))**(2\/31) assuming p is positive.\nAnswer: p**(625\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12086*c**2 + 5*c**3 - 12086*c**2 - 3*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63281, -124533, -185787, -247043, -308301, -369561?\n\"Answer: -g**2 - 61249*g - 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m*m*(m\/m**(-17\/2))\/m*m*m*m*m)\/m)\/m)**(3\/2) assuming m is positive.\nAnswer: m**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 839957508 to the power of 1\/2, to the nearest integer?\nAnswer: 28982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/((sqrt(42)\/sqrt(3))\/sqrt(2)) - ((sqrt(468) - (2*sqrt(468) - sqrt(468)) - sqrt(468))**2 - (2*sqrt(468))**2)) + -3.\nAnswer: sqrt(13) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187.4 + 211. Let r = 24 - v. Which is the nearest to 2? (a) r (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 295 - 300. Sort k, 2, 16, -4 in ascending order.\nAnswer: k, -4, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 112 = 2*y, -4*y - 123 = -3*g + 47. Suppose -s + 4*s = g. Calculate the remainder when 33 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 4 - 3 - 6) + (-36 - -13) + 20\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7))**(7\/13)*(h\/h**4)\/((h*(h\/(h*h**(3\/5)\/h*h*h))\/h*h*h)\/h)*((h**(-4)*h)\/h*h**0)\/(h**(-1))**(-1\/14) assuming h is positive.\nAnswer: h**(-6029\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 + t + 2. What is o(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269 = 80*i + 520 - 75 + 1206 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -264694 + 457067. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 589?\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/11 and 131\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*u**3 - 2*u**2 - 213*u**3 - 189*u**3 + 2*u**2.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3632, -7182, -10736, -14294, -17856?\n\"Answer: -2*s**2 - 3544*s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17358200 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.228932555 + -0.108947405. Let o = n + -3.12. What is o rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(0*g + 2*g + 0*g)*(-2128 - 224 - 1628) to the form i + o*g and give o.\nAnswer: 15920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3348783.96785806708 - -0.03098193292. Let k = 3348726 - u. Let o = 58 + k. Round o to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 + 44 = 0. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19310.33 years in millennia?\nAnswer: 19.31033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 15, 3*f + 6 + 15 = 2*k. Suppose -32 = -3*c + 2*z + k*z, -c = -2*z - 12. Solve -c*g = -3*u - 23, -g = u + 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20168336 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 2*q - 5*q - 4*q to h + m*q and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524063601?\nAnswer: 3, 6469921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrorl. What is prob of picking 2 r, 1 l, and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-2)\/((-72)\/26). Let f = h + -2\/9. Let g = 0.17 + -1.17. Which is the smallest value? (a) g (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) -44 (d) -54 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430113 and 27368?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 25. Let m(u) = 3*u - 8. Let o(v) = 4*c(v) + 14*m(v). Let n be o(6). Let q = n + -9. Solve -2*d - d + q = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*10\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let o = -1 + t. Let f = 2\/57 - 65\/228. Which is the closest to 0? (a) f (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -15, 1\/23?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 104 times 0.6\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 92\/22 - (-6)\/(-33). Suppose 7 + 5 = q*v. Suppose -3*m = -4*m. Solve m = 2*s - 3*o + 13, 0*o + 5*o = v*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - h - 5)*(3*h - 3*h - 1 - h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1730011*u**5 - 19*u + 307 wrt u?\nAnswer: -34600220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*f**2 - 1\/5*f**3 - 1\/5*f - 16\/5*f**5 - 24\/5*f**4.\nAnswer: -f*(f + 1)**2*(4*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 - 8*h + 2. Let i(z) = z**2 + z. Let t(y) = 2*i(y) + n(y). What is t(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7, j: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58135)\/104643*(-438)\/(-10).\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)\/sqrt(2)*3 + (sqrt(15)\/(2*sqrt(5)) - (sqrt(36)\/sqrt(3) - sqrt(12) - sqrt(12))))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*l - 2, -3*o = 2*l - 141 + 145 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, f: 5}. What is prob of sequence fuf?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5166*w**4 - 10587*w**3 + 510*w**2 = 0.\nAnswer: 0, 85\/1722, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -380 + 25459\/67. Let r = -926749\/1207876 - -21\/9014. Let y = q - r. Which is the second smallest value? (a) y (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 36 = 13*i. Let a be 20\/(-4) + (6 - i). Suppose 5*w - 715 = a*z, -3*w + 0*z + 4*z = -437. What are the prime factors of w?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-45))\/(4\/5320). Suppose 4*h + 0*b = -5*b - 487, 2*b - 230 = 2*h. Let z = h + u. What is the biggest value in -5, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 60 = 5*d - 9*z, 2*d + z + 12 = 0. Let l be (84\/10)\/(1*d\/(-20)). Let t = 205 - 16. What is the highest common factor of l and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2326.5 + -2326.8. Which is the second biggest value? (a) 0 (b) 2 (c) q (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31339 by -7.\nAnswer: 4477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 6*g**5\/5 + 2*g - 7. Find the first derivative of h(r) wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-7)*b**3 assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -17*k**6\/360 + k**4\/24 + 41*k**3\/2 + 6*k**2 - 2*k. Let u(a) be the first derivative of d(a). Let j = 1 - 2. What is u(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from mmdhvwvn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.717809mg?\nAnswer: 0.008717809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*s*v**2 - f*s + 4*f*v**3 + f*v**2 - 16*s*v**3 - 35*v**3 wrt s?\nAnswer: f*v**2 - f - 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*u = 184*u + 10864 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 27*g**2 + 50*g + 18. Let b be u(-25). Let i = -103 + 184. Calculate the highest common divisor of b and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29609, -64418, -99227?\nAnswer: -134036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1964 is divided by 128.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-4)\/(-10)) + -1. Suppose -64 = -0*g + r*g. Let h = -11 - g. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/30446830 and -101\/10745940.\nAnswer: 182680980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + d + 13, g = -0*g - 4*d - 13. Let k be (0 + -38 - 0)*-1. Suppose -g*n - 3*u + 82 = u, -n + 4*u = -k. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1 - 20\/(-9). Let z = -0.03 - 0.1. Let v = z - -5.13. What is the second smallest value in v, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**5 + 57*m**4 - 12*m**3 - 240*m**2 - 192*m + 48.\nAnswer: 3*(m - 2)*(m + 2)**3*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 207*i**2 - 97*i + 433. Determine u(-104).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = 0. Suppose 4*u - 2*u - 8 = s. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 6*o. Suppose -4*u - 4*v + 6*v - 56 = 0, 70 = -5*u + 5*v. Let y = 20 + u. Give t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*z**3 + 0*z + 30*z**4 + 15*z**4 + 1 + 2*z + 38*z**3 - 4*z in the form g*z**3 + h + s*z**4 + i*z + r*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - -1) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*d - 77 + 14, 2*q = 5*d + 35. Let p = -722 - -504. Let a = 317 + p. Calculate the remainder when a is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116930 and 69970912?\nAnswer: 349854560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 25*v**4 + 235*v**3 - 1015*v**2 + 1960*v - 1372.\nAnswer: (v - 7)**3*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(242) - sqrt(162)*2 - (0 + sqrt(2) + -1 - (1 + sqrt(128)))) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -3 + 17. Solve n*x + 6 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 880714, 1761455, 2642196, 3522937?\n\"Answer: 880741*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 18*k**2 + 15*k - 30. Let v be c(-17). Suppose -v*t = 137449639 + 167350361. Round t to the nearest 1000000.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30238, 59137, 88036, 116935?\n\"Answer: 28899*m + 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -20, -31, -58, -107, -184, -295?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 106*i + 2404. What is s(-100)?\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 182\/5 - 1\/5*h**2 - 1\/5*h = 0.\nAnswer: -14, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a68a (base 12) in base 10?\nAnswer: -101194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 49181839 divided by 7\nAnswer: 7025977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 17. Suppose -2*l + 22 = -2*g - 0*g, 0 = g + 5*l - 19. Let c be (-3)\/(g\/8) - -18. Suppose -4*w - 10 = c. Calculate q(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s. Let g be i(1). Let b = g - -69. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 6, j: 3, i: 1, p: 3, r: 1}. Give prob of picking 2 i and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.02, -2\/7, -6, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 46*l - 35. Let q(c) = -46*c + 36. Let r(j) = -5*f(j) - 4*q(j). What is the tens digit of r(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169 + 4?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*b - 3*b + 9, 3*b + 4*r - 9 = 0. Suppose 0 = -b*v - 7 + 34. What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 2.5. What is the third smallest value in -3\/7, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.0726 + 7615.\nAnswer: 7604.9274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-514)\/257)\/(1*1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l**2 + 9*l - 9. Let r be y(-7). Let u be r\/24*9\/5. What is the highest common divisor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*0.15.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-1)\/(-2)*2*2). Differentiate -i**2 + 13 - 16*i**2 + 4*i**q + 6*i**2 with respect to i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529+11356234.8\nAnswer: 11356763.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 146630 divided by 6665?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/11)\/(1155\/(-38115))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/5)*c*c*((c**(-1)\/c)\/c*c)\/c)**46 assuming c is positive.\nAnswer: c**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, -64 in decreasing order.\nAnswer: 5, 0.1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9\/4)*d*d**(-24)\/d*d assuming d is positive.\nAnswer: d**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 827999\/72 + -11499. What is the common denominator of 71\/48 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/2 - 10*w**3\/3 - 3*w**2\/2 + 7*w + 119. Let f(z) = z**3 - 5*z**2 - z + 3. Determine 7*f(n) - 3*l(n).\nAnswer: n**3 - 5*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -3. Let o(f) be the second derivative of f**6\/720 + f**5\/60 - 5*f**4\/4 + 11*f. Let i(w) be the third derivative of o(w). Calculate i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d**2 - 2300*d + 220 = 0 for d.\nAnswer: -22, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1184584, 2369170, 3553754, 4738336, 5922916, 7107494?\n\"Answer: -m**2 + 1184589*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48809 = 42*d - 204*d + 83545. Solve 13 = f + 3*i, -822*f + d*f + 32 = 4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c + 2492. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -26, -50, 1 in descending order.\nAnswer: 1, -5, -9, -26, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044703 rounded to 6 dps?\nAnswer: -0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 27120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 132, -23, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -186, -212, -202, -156?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 3*t + 11. Determine g(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 11*o**2 - 3*o**3 - 3*o**3 + 2*o**2 - 2*o**2.\nAnswer: -6*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -489890*a**3 - 586 + 489891*a**3 - 158 + (5 - a - 5)*(-a + 3*a**2 + a) to j + h*a + q*a**2 + g*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2230173183 divided by -85027.\nAnswer: 26229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.926172 micrograms to grams.\nAnswer: 0.000008926172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-165))\/((-8)\/44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*k. Suppose 107349 = u - k*f, 4*f - 2050 = -u + 105293. Let p = u - -92653. Round p to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 2\/5 (b) 2\/39 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 19*n + 28. Let l(b) = -15*b + 1. Let h be l(-1). Suppose 4*p = 4*m + h, 5*p - 6*p + n = -3*m. Sort -17, 0, p.\nAnswer: -17, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/6))**(-22\/9)*(r\/(r*r*(r**(-3)\/r)\/r*r*r*r*r)*r)\/(r*(r*r**(8\/7))\/r) assuming r is positive.\nAnswer: r**(-601\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06752693 + -1110.14407307. Let d = 1058.211571 + u. Let b = 52 + d. What is b rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 1218\nAnswer: -14616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -2.3. Is m at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*i - 20, 0*q - 4*i - 29 = -3*q. Let y = 7 - q. Solve -3*h = 4*f + h - 32, y = h - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3568 and 24392632.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18506 = -2317*f + 1343*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 80 - 100 = 0. Solve q + 20 = -y*k, k + 20 = -3*q - 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 + 7*i**2 + 8*i - 13. Let p(g) = 10*g**3 - 13*g**2 - 17*g + 27. Let q(s) = -7*h(s) - 3*p(s). Find d such that q(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a4 (base 12) to base 5.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*o, 21 = 5*i + 3*o. Suppose -f + i - 2 = 0. What is the highest common factor of 7 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122292 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let o(h) = 3*h - p*h - 4*h. Let s(l) = -2*l**2 - 4*l - 4. Let q(v) = v**2 + v + 1. Let t(n) = 4*q(n) + s(n). Give o(t(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131364 is divided by 223.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 353 = 3*k, 129*w - 133*w = -4*k + 468. Calculate the highest common divisor of k and 5152.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2625556, 2625559, 2625564, 2625571?\nAnswer: 2625580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/4 (b) -2 (c) -1\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*p**4 - 68316*p**3 - 12420*p**2 = 0. Calculate p.\nAnswer: -2070, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -807991121\/95335500 - 5938\/63557. Let y = -19\/125 - j. What is the common denominator of y and -2 + 2\/((-88)\/34)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 + 25678*z**2 + 894780*z - 19206000 = 0.\nAnswer: -12804, -50, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 819965664 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/120*j**6 + 0*j**3 - 41*j**2 - 1\/4*j**5 + 0 + 2*j - 85\/24*j**4. What is the second derivative of t(k) wrt k?\nAnswer: 6*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2 - 7*g**2 + 4*g + g**3 + 0*g**3 + 1. Let o be x(5). Is o\/(-3) - (-6)\/9 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80880 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o*o**(-14))**(-1\/2)\/((o\/(o*(o**1\/o)\/o*o*o))**(-10)\/((o**(1\/3)*o)\/o**(-5\/3))) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -4, 3523, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -7866\nAnswer: 283176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 267184*n + 534367. What is z(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345581100.\nAnswer: 2, 3, 5, 17, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 + 3. Let b = -0.6 - n. Let s be -2 + (0 - 2 - (-14)\/7). What is the third smallest value in -5, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55435284 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 5*z + 3. Let k be l(4). Let t(j) = -j**3 - 4*j**2 - 3*j - 4. Let f be t(-3). Let u = k - f. Calculate the remainder when 6 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71974.\nAnswer: 2, 7, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3135820 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 678 = -362. Let y be (-10)\/4*o\/(-20). Is (247\/y)\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(1584)) + sqrt(1584) + 0.\nAnswer: 2 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1483, -5941, -13371, -23773, -37147?\n\"Answer: -1486*b**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 1, o: 2, d: 2, t: 1, m: 1}. What is prob of picking 2 d and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37149083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + o - 7 = 2*o, 2*o = -2*w + 16. Suppose 0 = -11*d + 31 + 2. Solve d*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2666, -2980, -3294, -3608, -3922?\nAnswer: -4236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5 + 194*h - 6 + 10 + 193*h.\nAnswer: 387*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let g(i) be the second derivative of 0 - 37*i + 0*i**2 - 7\/6*i**3. What is g(k(t))?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653685 is divided by 1436.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1892, -5986, -17102, -38750, -74440, -127682, -201986?\nAnswer: -300862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/9)\/p)\/p*p)\/(p*p*p**4*p))**(-14) assuming p is positive.\nAnswer: p**(1036\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 r when three letters picked without replacement from prptptttt.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20a42 (base 15) to base 7\nAnswer: 610634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2027*t + t**2 + 1020*t + 7 + 1013*t. What is c(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92, 109, 140, 191, 268, 377, 524?\n\"Answer: b**3 + b**2 + 7*b + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176 + 1269*f - 640*f - 633*f)*(2 + f + 1 - 5).\nAnswer: -4*f**2 + 184*f - 352","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 515, 823, 1199, 1667?\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8041 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -596, -1190, -1782, -2372?\n\"Answer: n**2 - 597*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279*x**3 - x**2 + 38726*x - 38726*x)*(3*x - 1 + 1) + x - x**4 - x to the form v*x**3 + u*x**4 + r + s*x**2 + w*x and give u.\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1681.99998729 + 1682. What is b rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - 3) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 22. Let v = a + -4. What is the nearest to 0.1 in 3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. Let v = 1 + p. Let d = -18 - -18. Which is the second smallest value? (a) d (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 2529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m**6)\/((m\/(m\/(m\/m**2*m))*m)\/(m\/(m\/(m*m\/((m*m*m**(1\/4))\/m)*m)))) assuming m is positive.\nAnswer: m**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -197 - -174. Let l(v) = -v**3 - 23*v**2 - v - 23. Let k be l(w). Solve k = -6*i + 8*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2 - 471\/30)*-15. Round i to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 81374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*z - 21. Let t(g) = g**2 + 24*g + 89. Calculate the remainder when t(-20) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, -38, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + m)*(4 + 1 - 3) - m + 1 - 1 + 2*m - m + m - 2*m - m + 4*m + 0 + 2*m + 0 - 5*m + 115 + 82 - 417 to the form a + r*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*o**3 + o**2 - 1\/2*o - 1 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 20*q**3 + 118 + 17*q**3 - 37*q**3 - 114 + 19*q**4 as k*q**3 + g*q + r*q**2 + l + y*q**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiyr when four letters picked without replacement from yjeeiyr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 5*u**2 - 6*u**2 - 16*u**2)*(1569*u**3 + 8603*u**2 - 8603*u**2).\nAnswer: -45501*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 14*b - b + 8*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 7\/4 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 441483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2567.1 + 2456. Let m = -111 - v. Suppose 3 = y + 5*i, 0 = 2*y + 5*i - 3 + 2. Which is the biggest value? (a) y (b) 0.02 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4756, -9639, -14522, -19405, -24288, -29171?\nAnswer: -34054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 71 = -32. Solve -2*d + 3*b + 0 = -1, h*b + 9 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = 0, -36*a + 2 = -z - 37*a. Let y(r) = 8*r + 1 - 3*r + 7*r. Calculate y(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 3*r + 3)*(3*r**2 - 3*r**2 + r**2 + (2 - 3 + 2)*(-2*r + 2*r - 2*r**2) + 18*r - 18*r - 13*r**2).\nAnswer: 28*r**3 - 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299)*1 + sqrt(2299))*-3 + -2*(3 + sqrt(2299)*1 - sqrt(2299)))**2.\nAnswer: 2376*sqrt(19) + 744912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/6 - 1993*s\/3 + 1278383\/2 = 0 for s.\nAnswer: 1623, 2363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1374 - 16342 - x + 318 to a*x + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/7)*v))**(10\/7))**(-1\/66))**1 assuming v is positive.\nAnswer: v**(10\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3949 and 61\/1100.\nAnswer: 394900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.7 + -13. What is the third biggest value in 0, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - g - 1955. Let w = 484 - 684. Let n = g + w. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 5*x**2 - 3*x + 6. Let t be 8\/(-5)*(-4 - 1). Suppose -2*h + 4 = -t. What are the prime factors of a(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576039077.\nAnswer: 576039077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600426?\nAnswer: 2, 23, 56531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - -8.3. Let u = 1398.7337 + -1389.74. Let k = l - u. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 11\/4, 8, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 10326?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1486, 2987, 4488, 5989?\nAnswer: 7490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91527883 + -0.01903.\nAnswer: 91527882.98097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 23*n - 13*n - 878 + 956 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprcepcecphepc. Give prob of picking 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 100 and -7739.\nAnswer: -7639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 18*i**2 + 2*i. Give o(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 1. Let z be l(-2). Let t be ((-2)\/z)\/((-4)\/(-20)). Suppose t*c - 6*d + 7 = -d, 0 = -5*c + 2*d + 14. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 times 1.7?\nAnswer: 3262.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t + 1. Calculate l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667 is divided by 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -14 + 20 - ((7 - -6) + -4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {e: 1, v: 3, q: 3, a: 7}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 5. Let s(i) = -i + 2. Let z be s(0). Let y(x) = 95 - 6*x - 219 + 98. Calculate z*y(m) - 11*u(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**5 - 11410*r**4 + 125085*r**3 - 408860*r**2 + 181360*r + 726720 = 0?\nAnswer: -1, 4, 2271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {q: 1, p: 3, w: 2, z: 9, n: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -85*c - 366. Determine u(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 4\/15*k**3 - 4\/5*k + 1\/5*k**2 - 40 - 1\/10*k**4. Suppose z(g) = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 28 = 4*c, -4*c + 20 = 3*t - 5. Let i be c + 2\/4*-2. Factor 1 + i + r - r**2 - 2.\nAnswer: -(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 5353.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 72*y**2 + 14*y + 1032. Determine i(-72).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21551791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1547, 1843, 891, -1315, -4781, -9513?\nAnswer: -15517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 61528161\nAnswer: -2\/61528161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 20376*i**2 - 259*i - 1182. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -188*u**2 - u - 27 + 0*u + 66*u**2 + 59*u**2 + 62*u**2. Let g(b) = -b**2 + 4. Let j be g(-2). Determine i(j).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51245, 102562, 153951, 205412, 256945, 308550?\nAnswer: 360227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 + 4093 = 37*p. Let v = -234 - -122. Let b = v + p. Is -9 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336303351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)\/c**(-4\/3))\/((c**(3\/2)*c)\/c**(-7)) assuming c is positive.\nAnswer: c**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - c = 33, -g + 2*c - 9 = 10. Let q = g - -61. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**4\/24 - z**3\/6 + z**2. Let k be n(-4). Let p be 3\/(-6) - k\/(-2). Solve -2 = m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*153\/17*12\/45.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -245517 (base 8) in base 13?\nAnswer: -2c7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.2 (b) -2 (c) 5 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/10050241 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 - q**2 - 3*q + 4. Calculate k(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180190139, 180190141, 180190143?\nAnswer: 180190145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -114 (c) -8 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r + 66. Let y(v) = -v**3 - 6*v**2 + 25*v - 11. Let p be y(-9). Does 9 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2937)\/22)\/((-57)\/4) + -9)\/(6 - 7).\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 18*a**2 - 10 to b*a + n*a**2 + d and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4885 and 200702179?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -160, -130, -62, 56, 236?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5976 - 4*r - 5978 + 7*r**3 + 0*r - 15*r**2 to the form h*r**2 + a + w*r + u*r**3 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4)\/(2\/8). Let f = 972 - 975. Sort f, b, -1.\nAnswer: f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14916?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 4538756143157?\nAnswer: 4538756143160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 87. Let u be (459\/(-12)*-2)\/(j\/(-12)). Let l = u + -74. Calculate the remainder when 54 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9 + -967*2\/209 and 83\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 10*n**2 + 10*n - 9. Let d be r(-11). Let x be 35\/5*d\/7. Suppose -5*z - 4*j + 1 = 0, -x*z = -3*z + 2*j + 3. Which is smaller: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 34. Solve 0 = 2*x + 5*z + g, 2 + 13 = 5*x - 3*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456703 is divided by 1630.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1000010111100?\nAnswer: -1000011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 - 7*o**2 + 7*o**2 + (-o - 3*o + 5*o)*(-4*o**2 + 0*o**2 + 3*o**2) - o**3 + 3 - 3 + 1346390 - 28*o**3 + o + 5*o**2 - 1346390.\nAnswer: -34*o**3 + 5*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57231 and 16749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 + 117 + 7*w + 11*w in the form h + f*w and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.94753074 rounded to one dp?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1111001001010010 (base 2) to base 10\nAnswer: -62034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -53 - 9. Suppose -3*m = -9, -z = -u - u - 5*m. Factor u*k**2 + 7*k**2 - 14*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/108 + 62\/6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2543 + -1623. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 10*c**2 + 18*c**2 + 23*c**2 + 21*c**2.\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x. Let i(r) = -424*r**2. What is i(b(f))?\nAnswer: -6784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910 and 2470.\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 199*p - 76*p + 213*p + 9204 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2\/11*j + 2\/11*j**2 - 12\/11 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13519 + -54073\/4. Let x = 1.12 + -1. Let d = x - -0.08. What is the nearest to 0 in m, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 3, 1, -5, -15?\n\"Answer: -2*o**2 + 8*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from {s: 3, x: 17}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461019?\nAnswer: 3, 13, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = 2*m - 8, -2*c + 14 = 4*m. Suppose f = m*f - 94. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.726815 weeks to microseconds.\nAnswer: 4673177712000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**2 - g - 1. Determine o(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let b(z) = -z**3 - 3*z**2 + z. Let x be b(g). What is the units digit of 3\/(x - (-54)\/16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/9)*y**(-12)*y)\/(y**(-2)*y\/(((y\/(y\/(y**(7\/4)*y*y))*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-277\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1188.4244 and 102.1?\nAnswer: 1086.3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 102*z**2 - 142*z + 52331. Determine a(98).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 4*j + 7*j + 0*j + 11*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.3 >= -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o - 10. Let x(r) = -11*r - 7. Suppose -15 = 41*m - 44*m. Let a(h) = m*f(h) - 7*x(h). Determine a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 64.64663.\nAnswer: -2.5858652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -3, -3*q + 3*v - 12 = 0. Let p be (-24)\/14*(-14)\/q. What is p rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 666*q + 711 - 352 - 359 to the form x + c*q and give c.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1232 + -572. Suppose 8*o - y = 2*o. List the prime factors of o.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2198*d - 5. Let v(c) = 3*c - 40. Let n be v(14). Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14089\/2430 - -1\/486. Let j = s + -27\/5. Let p = 233\/45 + -27\/5. Which is the nearest to -2\/9? (a) p (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*n - 46*n - y + 10, -5*n = -y - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 - 5. Let r = -8\/7 + 31\/21. Let g be (-4)\/10*5\/(-9). What is the smallest value in r, g, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 3. Let q(b) = -6*b**3 + 11*b**2 + b + 16. Let n(z) = 6*q(z) - 33*x(z). What is the units digit of n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, x: 5}. Give prob of sequence uxux.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 4538?\nAnswer: 95298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 63 = 69*g - 224 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, e: 1, f: 2, p: 2}. What is prob of picking 2 f and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*m**2 - 299*h**3*m - 8*h**3 + 16*h**2*m - 8*h**2 + 5307484*h*m**3 wrt m?\nAnswer: 4*h**3 + 31844904*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 4*z**5\/5 + 19*z**4 + 152*z**3 + 512*z**2 + 640*z + 1733. Factor q(u).\nAnswer: 4*(u + 1)*(u + 4)**2*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.2 and 4080342 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 128 + 472. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881?\nAnswer: 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 32. Let y = z - 16. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 + 2*w**2 + w**2 + 9*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1174243030?\nAnswer: -1174243025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b, 143515468 = -3*g - 5*b - 282724502. What is g rounded to the nearest 1000000?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 + -1.8. Let i = -7 + d. Which is greater: i or -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1275*t - 74*t - 3089*t)*(3*t - 2*t + t).\nAnswer: -3776*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -10, -180, -510, -1054?\nAnswer: -1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 119892071 from -0.0121.\nAnswer: -119892071.0121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.57 - -0.43. Let p = k - 16. Put -4\/3, p, -0.1, -1 in decreasing order.\nAnswer: -0.1, -1, -4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/63 - 379\/(-7). Let c = l + -52. What is the highest common factor of c and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/18 - (-2 + -154). Suppose 3*o = 5*q + 176, -3*o + 3*q + 14 + m = 0. Calculate the remainder when o is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 100610135?\nAnswer: 100610124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + (-3 - 6) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 0*c**2 - c**2 + (-4 + 2 + 1)*(2*c**2 - 4*c**2 + 3*c**2) + 4 - 4 + 2*c**2 + (c + 3*c - 2*c)*(-c + 0 + 0) + 5 - 4*c**2 - 1767*c + 887*c + 886*c.\nAnswer: -7*c**2 + 6*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116, -286, -456, -626, -796?\n\"Answer: -170*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*(-3)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 823 + -469. Is (-5)\/3*(-14)\/35*k a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.877108km in nanometers?\nAnswer: 8877108000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {c: 15, i: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 50 = 2*t. Let v(r) = 3*r**2 + 3*r + 2. Suppose 0 = -5*q + 12*q + 7. Let y be v(q). Solve -y + t = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/6, 0.2, 11\/4 in descending order.\nAnswer: 11\/4, 0.2, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.8166822 and -1.5887?\nAnswer: 5.4053822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1073 in 0.056, 2, 4, -1\/3?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 - 364*p + 19. Let s be k(-12). Solve -11*j - 3313 = -s for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175167281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 8) to base 5\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16 - (-2)\/4)*555\/(-1295)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.157099 litres?\nAnswer: 2157.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, -57, -527 in descending order.\nAnswer: -3, -23, -57, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6*24\/(-16). Let n be 4\/8 - (-146)\/t. Suppose -5*f + 53 + n = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 53\/6*t**4 + 1\/2*t**3 + 31\/2*t**2 - 33*t - 1. What is the second derivative of p(x) wrt x?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 17 = 13*i. Let r be i\/((-25)\/30) + 0. Solve -t + r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*b**3 + 0*b**2 + 0*b**2.\nAnswer: -385*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*z**2 + 119*z**2 - 93*z**2 + 150*z**2.\nAnswer: 443*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -851893 by -121699.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-1)\/4). Is 6\/4 - (-43)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 4. Let i be o(3). Let n = 11 + i. Let u = n - 8. Calculate the greatest common divisor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 5*l**3 - 59 + 238 - 4*l - 41 as x*l**2 + p*l**3 + q*l + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12387653?\nAnswer: 12387653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = q - 5. Suppose 4*z = -z - q. Let y be 39\/21 + 0 + (-348)\/406. Which is the closest to 0? (a) z (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:04 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 40 - 32. Solve -h - 3*h = c, 3*h = -4*m - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1476.0909 - -1476. Let c = -0.085 - p. What is c rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 12, 0.3, -1\/30, -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 4*p**3 + 4*p**3 - 5*p**3 + 6*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nesl when four letters picked without replacement from {a: 1, v: 2, e: 2, n: 1, l: 1, s: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14 + 10 = 4*m, 5*m = 5*h. Let s be h + -2 + -1 + 4. Suppose s*g - 2*g - 15 = 0. Solve -1 = -g*i + 3*u - 5, u - 2 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -644632565?\nAnswer: 644632543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*20*45\/(-120). Suppose -3*s - 57 = -2*v + 15, -2*v + 5*s + 80 = 0. What is the highest common divisor of v and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(121)*-1)\/(2*sqrt(11)*4).\nAnswer: -5 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddgddcdfdfgcgcqgsfcc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnjjnnnn. Give prob of sequence jjn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 69*r**2 - 763*r + 45. Let c be q(11). Let y(v) = -v - 7. Let j be y(-4). Let m be (-1 + 4)*(-4)\/(-3). Put 5, c, j, m in descending order.\nAnswer: 5, m, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -37. Let b be 1166\/2 - (6 + o). Suppose 82 = 6*y - b. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/10)\/(16\/(-80)). Let p(o) = 8*o - 3. Let a(m) = -9*m + 4. What is i*p(y) - 5*a(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 3*o**3 + 2*o**3)*(2 + 2 - 3)*(-o + o + 3*o**2).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 10*x**2 + 10*x - 10. Let o be j(-11). Suppose 0 = -5*k + 5*y - o + 26, -3*y = -2*k + 12. Solve 5 = k*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.9 - 39. Let d = u - 2. Let w = -379\/450 - -2\/225. Which is the closest to d? (a) -2 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075 is divided by 511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -23*f - 3*f. Calculate the remainder when 198 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - 1 - (-1 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 4 + 4 + (-r**2 + 0*r + 0*r)*(-2*r**2 + 4*r**2 - r**2) - 27 + 12*r**4 - 13*r**4 + 9.\nAnswer: -5*r**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40007 - -39885) + 2 + (29 - -1).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rguguuuugr. Give prob of picking 3 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**4\/r)\/r)\/r*r**14)\/(r*r**0\/r)**(2\/61))**(-14\/15) assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -693*m + 35. Is x(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11 - 7\/((-63)\/90). Which is greater: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yod when three letters picked without replacement from ydyyddqnoyyodyq?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*z - 685, 5*s - 3*z = 984 - 100. Let a = 105 + -72. Let l = a - 8. What is the highest common factor of l and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868528 + -8.51188\nAnswer: -868536.51188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1317 - 5?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -53 (c) 2\/11 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.084*0.0763.\nAnswer: -0.0064092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284834227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*z + 0*z = 27, 22 = 2*w - z. Let q = -9 + w. Solve 2*l + b = -3, 2*l - 8*b = -q*b + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsywyysnywnv. What is prob of picking 1 w and 1 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1319 and 1?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-1 - 0)*2. Let f be -3*(-2)\/30 - 8\/40. Put 3, f, y in ascending order.\nAnswer: y, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5886221km?\nAnswer: 588.6221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12947419 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 16*u + 1. What are the prime factors of n(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let f = v + 3. Sort -5, -0.4, f in increasing order.\nAnswer: -5, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -6. Let v = u - 5. Let i = -18 + 19. What is the biggest value in -3, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 19*n**2 - 21*n + 10. Let b be s(13). Let k be (-22)\/88 + b\/(-4). Let m = k + 345. What are the prime factors of m?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6591 divide 1863077970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 + b**2 + b + 2. What is the remainder when 127 is divided by z(2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65229*m**2 - 19926 with respect to m.\nAnswer: 130458*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 10, 13*m = 8*m - c + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 15. Let d be z(-11). Suppose -d*o + 81 = -3. What is the lowest common multiple of 3 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2. Let n be (250 - 0) + 0\/2. Let s(b) = -2*b + n - b - 250. Calculate s(l(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 443\/44 - 108\/11. Let z(b) be the third derivative of 3*b**2 + 0 + s*b**4 + 0*b**3 + 1\/20*b**5 + 0*b. Determine x so that z(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 = -2*r - 9, 0 = -2*r - 3*v + 18. Let t = r + -4. Let b(y) = y**3 - 5*y**2 + 5*y - 2. Let z be b(4). Solve -t*q = -0*q + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3980550 and 255?\nAnswer: 3980550","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -155013, -154955, -154897?\n\"Answer: 58*r - 155071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.19. Let f(x) = -x - 3. Let q be f(-4). Let n = q - -1. Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38760, 76544, 114318, 152076, 189812, 227520, 265194, 302828?\n\"Answer: -s**3 + s**2 + 37788*s + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/3)\/(((-1)\/5)\/(12\/(-60)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*b - 3*c - 41, 2*b = -5*c - 30. Put -0.4, b, -0.5 in descending order.\nAnswer: -0.4, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let h = d + 5. Let x = 0.5 + -0.6. What is the closest to h in 0.1, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 486 and 13?\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -256, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - 8 = 0. Let l(a) = -22*a - 129. Let v be l(-6). Solve v*k + 16 = -s*c, 4*k = 5*c + 2*k + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003744 and 2968.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (62 - 59) + 4 + -19\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9) + -2 - 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 2. Let u be n(3). Suppose -4*v + 2*v = -28. Let b = v - u. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42390727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 55*a - 26. Calculate g(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 - 10*y - 5. Let g(v) = -8*v + 2 + 7*v + 2*v - 1. Let k(u) = -b(u) - 5*g(u). Factor k(p).\nAnswer: -5*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*b*d**3*s - 5*b*d*s*u - b*d*s + 2*b*d + 8*d**3*s - 218662*d**3*u**2 + d*s wrt u.\nAnswer: -5*b*d*s - 437324*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 439659.2 litres?\nAnswer: 439659200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353453*b**3 + 7*b**2 + 4070665*b.\nAnswer: -2120718*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0681 from 94.\nAnswer: 94.0681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -381, 26, -5, 5, -1.\nAnswer: -381, -5, -1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssesqbqsb. Give prob of sequence sc.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/20)\/((-2)\/5). Let l = 2.5 - 10.6. Let q = 8 + l. Which is the closest to 1? (a) u (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 30 = 5*m, 196*d - 77*d - 124 = 106*d - 3*m - 38 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 1\/12*c**4 + 0 - 13\/6*c**3 + 1\/60*c**5 - 7*c**2. Let r be n(3). Solve t - r = 0, i + 5 = 5*t - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 21*u**2 + 84*u + 18. Let r(z) = -11*z**2 - 40*z - 9. Let o(q) = -4*k(q) - 9*r(q). Factor o(l).\nAnswer: 3*(l + 1)*(5*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 20, -292 in descending order.\nAnswer: 20, 5, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 3. Let d be (-1)\/(-3) - 10\/(-6). Let y be m(d). Suppose -5*h + 2*c + 19 = 0, 0*h - 5*h + 3*c = -16. Solve -h*l + y*l = 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1)*(-p + 2 - 2 + (4 - 4 + 3*p)*(-1 - 2 + 4)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*i + 119*i - 25545 = -72*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, n: 3}. Give prob of picking 1 u and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380275 is divided by 957?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 32) + 1124 + -1082?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 478*j + 5014. Give b(228).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 34*n - 48 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141330 (base 5) to base 7.\nAnswer: 23012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10511\/100 + -841\/25. Is -140 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {b: 3, g: 1, z: 1, o: 2, e: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 64*u**2 - 9 - 94*u**2 + 54*u**2 + 69*u = 0.\nAnswer: -3, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2270 times -3.29645\nAnswer: -7482.9415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 401 - 387. What is the remainder when 24 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1112*g**3 - 4065*g**3 + 2188*g**3 - 4675*g**3.\nAnswer: -7664*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95475*x + 95401*x = -231 - 509 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21831\/(-3591) + (-42)\/54 - -14?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = -1. Let s(l) = -12*l. Let r be s(m). Let u be 8\/r + (-14)\/12. What is the second biggest value in 0.1, u, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzxzzzzxzzzx.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20122121 (base 3) to base 14.\nAnswer: -1aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k**2 - 77*k + 2078. Determine s(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -3*t - 0*t. Suppose 0 = w - 4*w - 30. Is t\/w*4\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:34 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2397 = -2*p - 8291, -3*s - 2*p = -8016. Let x = 4323 - s. What is the remainder when x is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563 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: Four letters picked without replacement from {z: 5, q: 6, m: 2, d: 1, h: 2}. Give prob of sequence mqhz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 0.03 (b) -7 (c) -0.5 (d) -5 (e) 1 (f) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 2*i**2 - i + 93*i**3 + 2 - 98*i**3 to n*i**3 + s*i**2 + m*i + z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(3\/4*1). Which is the second biggest value? (a) 15 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 6. Let m = 60 - 85. Let v = -22 - m. Let h(q) = q**2 + 3*q + 5. Give v*n(l) - 4*h(l).\nAnswer: -4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 108*f = 392*f + 8424 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(42)\/sqrt(6) + sqrt(70)\/(sqrt(90)\/sqrt(9)))*2)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41789*t - 29572*t + 59327*t.\nAnswer: 71544*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54177*a**2*r**3 + a**2*r**2 - 4*a**2 + 264*a*r**2 wrt r?\nAnswer: -325062*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1314641813, -1314641807, -1314641799, -1314641789?\n\"Answer: w**2 + 3*w - 1314641817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25176303*u**3 - 17405*u**2 + 78*u - 8.\nAnswer: 151057818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 54, 63, 72?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 538 and 3487585?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -66*m + 2769. Calculate the least common multiple of c(41) and 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1149 = -5*i, 6*w - 2*w + 683 = 3*i. Let d = -133 + i. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 117, 167, 215, 261, 305?\n\"Answer: -g**2 + 55*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346.02 + 335. Let l = 0.02 + t. Let n = -7 - l. Which is the biggest value? (a) 2 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 8*k + 6. Suppose -26*s = -24*s - 8. Let h(v) = 9*v + 13*v - 11 - s*v**2 - 7*v. Calculate -6*h(u) - 11*q(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 667 divided by 177028\nAnswer: 667\/177028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 495964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3689, -7382, -11075?\nAnswer: -14768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -83*a + 2. Suppose -w - 4 = 0, -2*f + 4*w = 3*w. Let i be k(f). Let z be 1\/(-2)*i\/(-6). Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3383, 6770, 10157, 13544?\n\"Answer: 3387*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -451 - -441. Let z(n) = 2*n**2 - n**2 + 18 + 10*n - 8 - 7. Give z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 0)\/((-10)\/(-15)). Solve 7*u - r*u = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*32\/(-84)*-7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -169\nAnswer: -38.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 2*l + 1. Let f be h(1). Suppose 5*d = -f*t + 25, -3*t + 2*d = -2*d - 15. Suppose 0 = -t*w - 0 + 70. Put 2, w, -2 in ascending order.\nAnswer: -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59140 is divided by 275?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3*21\/14. Suppose -2*r - j*q = q - 27, 0 = r - 4*q + 19. Suppose 0 = 4*t - 2*u - 1586, -4*u = 11 + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-6*22\/(-4). What is the least common multiple of (6\/(-7))\/(4\/(-56)) and (8\/3 - 2)*o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 655*m**2 - 33*m - 3. Let w(r) = -1964*r**2 + 88*r + 9. Give -8*s(o) - 3*w(o).\nAnswer: 652*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5315704 divided by -7.\nAnswer: 5315704\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from cgdcgog.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:14 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o - 5*z, -2*o = 3*z - 4 - 6. Let c = 4 - o. Suppose 5*f - 4*b - 4 = 0, 2*f - c*b - 3 = -1. Solve f = -2*h + 1 + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.34 - 0.66. Let y = -4066.0008 - -4061. Let i = y - v. What is i rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612167 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3966 times 6\nAnswer: -23796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.59406*-0.02\nAnswer: 0.0318812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, a: 2, k: 3, b: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-2)\/(-4 - 0)). Let w = r + 0. What is the closest to 0.1 in w, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 6*w**2 + 4. Suppose 35 = z - 4*y - 41, 8 = -2*y. Suppose 7*p - z = -3*p. Let u be o(p). Solve 8 = u*x - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/7591648 and 109\/1415392?\nAnswer: 83508128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 976638 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275491 divided by 758497?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) + (-6)\/21. Suppose k = -0*z - 2*z - z. Solve 4*l - 2*m - 4 = z, l + 4*m - 4 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -709584*o**3 + 25*o**2 + 91985868*o wrt o.\nAnswer: -4257504*o + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729512 = -12198*d + 12247*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 66*b**2 + 8*b + 52. List the prime factors of y(-7).\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 - 6 + 15*l + 12*l - 5. What is the remainder when y(4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/1177 and -77\/1798563.\nAnswer: 19784193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.27 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -130*k**4 - 8*k**3 - 242*k**2 - 2. Let d(i) = -i**4 - 2*i**3. Let o(r) = 4*d(r) - n(r). Find the third derivative of o(w) wrt w.\nAnswer: 3024*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14 + 43 + 2*j - 13. Let n be k(-6). Solve -8 - n = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17916469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*q = 101054 - 23633. Calculate the remainder when q is divided by (-1)\/5 + (-2317)\/(-35).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(55)\/(sqrt(44)\/sqrt(16)).\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1171*w**5 - 14*w**3 - 38333*w.\nAnswer: -23420*w**3 - 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 7. Let b be c(5). What is the third derivative of -2*f**2 - 3*f**5 + f**2 + f**5 - 2*f**b wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1764879*v**2. Let p(i) = -3*i**2. What is p(z(b))?\nAnswer: -9344393653923*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 48, -0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11211 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -18. What is the common denominator of -41\/10 and ((-255)\/12)\/(-5 + g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357.8437 kilograms to grams.\nAnswer: 357843.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1508*f + 54457. What is h(36)?\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27138 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w = -s + 45, s + 5*w - 49 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4567 + -3.5433. Sort -0.23, k, -5, 8.\nAnswer: -5, k, -0.23, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -556, -548, -538, -526, -512, -496?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -1 - (-211 - -200)) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 137 = 3*t. Let g = 13 + t. Let a = 142 + g. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04148 and -106.78.\nAnswer: -106.73852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.31200102 - 17.2119997. Let z = -54.9 + 50. Let o = z - m. What is o rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*962\/(-37)*316\/316.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.0342 + 1.1972. Let c = 5.8 + h. Let j = 0.537 + c. Do j and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {o: 1, i: 1, g: 1, x: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*j**2*s*z + 2*j**2*s - 120151*j**2*z - 75*j*z - 926069*s*z wrt s?\nAnswer: 8*j**2*z + 2*j**2 - 926069*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -1579\/19. Which is the second biggest value? (a) 0.5 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u. Let q(b) = -b**3 - 2*b + 1655. Is q(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(40\/50)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**4 - 220*n**3 + 251 wrt n?\nAnswer: 4*n**3 - 660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1898 and 34\/185731.\nAnswer: 27116726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieieuiiuuieui. Give prob of picking 1 e and 3 i.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0092 + -28.5692. Let q = g - -28. Let f = q - -0.5600141. Round f to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Suppose -4*f + o + 19 = i, 3 + 4 = f - o. Suppose 4*m + 6*t + 12 = 2*t, -4*m + f*t = 20. Is 1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + -1)*-2*5.\nAnswer: -30 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 + 2*w**3 - w**2\/2 + 10*w - 16. Give m(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76850 divided by -53\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, 53, 2, 0.224, 0.1?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.92 and 0.2.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1380604 or -1380669?\nAnswer: -1380669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 1 + 2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 70 = 32*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*q - 103, 5*t + 4*q = -0*t - 266. Is (-81)\/t - (-4663)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147, 40, -255, -834, -1793, -3228?\n\"Answer: -16*u**3 + 2*u**2 - u + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 + 783*q + 56714. Give s(-96).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-48)\/4)\/(1 - (-14)\/(-8)) and 4 - 8\/12*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + v - 1\/4*v**4 - 1\/2*v**3 + 3\/4*v**2 = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 5*t + 3. Determine r(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 560.90005373 - 560.9. What is p rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s + 3*v, 0*s - 2*v - 8 = -4*s. Suppose -4*n = 20, s*w + 12 = -0*w - 4*n. What is the least common multiple of 10 - (-3 + 1)\/(-1) and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1507 and 198.\nAnswer: 27126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4602951*q**2 - 332*q + 2647.\nAnswer: -9205902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-283*b**4 + 664*b**4 - 283*b**4)*(-2 - 2*b + 2).\nAnswer: -196*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -2 + q**2 + 3\/2*q**3 - 5*q. Let c(s) = -19*s - 5. What is -4*c(l) - 9*g(l)?\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1625099*z + 8417. Let v be f(-17). Round v to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (4 - (5 + 0)) + -2 + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {q: 5, p: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -14. Which is the nearest to 1? (a) l (b) -0.07 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 5702*q**3 - 5714874*q**2 + 2262560850*q - 251815877676.\nAnswer: -2*(q - 891)**3*(q - 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.934 + -0.034. Let p = -11.1 - o. What is the biggest value in 4, 0, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*d**2 + 135301846*d - 135301846*d.\nAnswer: -4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.5894 * -65.\nAnswer: 1013.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = i + 3*i - 175, 230 = 5*i - 4*k. Let f = 197\/4 - i. Which is the biggest value? (a) f (b) 5 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5370 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 19 - 8 - (-2 + 19) - -32\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1955*j**2 + 1955*j**2 - 46*j**3 + (-3*j**2 + 0*j**2 + 0*j**2)*(0*j - 4*j + 3*j).\nAnswer: -43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - 6) + 3 + (-17 - -9 - -16) + 1?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023147541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366aba (base 13) in base 14?\nAnswer: 25bc06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*57.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let t(b) be the second derivative of 1123*b**4\/6 + 1392*b. What is t(a(r))?\nAnswer: 2246*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 26. Suppose y - 3*k + 6*k = 156, -h*y + k + 277 = 0. Let r = y + -8. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -2 + (-136)\/35. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-1)\/(-6)). Suppose -r + 18 = f*r. Let o = r + -4. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/324 and -61\/118314.\nAnswer: 709884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g + 1. Let k be w(-1). Suppose -4*y + 2*b + 7 + 3 = 0, 0 = -y + 3*b. Suppose 3 = l - y. Which is smaller: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, g: 4}. Give prob of sequence mmmg.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*l - 3 = 0, -3*b - l + 0*l = 19. Let w be (12\/(-10))\/(2\/b). Suppose w*y - 2*y = 34. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 times 3801\nAnswer: 1710.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 257 = 153 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, n: 3, q: 1, h: 8, e: 3}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 265157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109732567601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 942 - 941.83. What is the second smallest value in -0.5, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*j + 7. Suppose -23 = -d - 5*r, -5*r = -2*d - r - j. Suppose -6*g = -d*g - 105. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9883, 10162, 10441, 10720?\nAnswer: 10999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y - 3*y**2 - 63*y + 35*y - 9 + 2*y**3 to c + n*y + j*y**2 + z*y**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y - 8. Let z be x(-6). Let d = 252066 - 252066.05. What is the closest to z in -5, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67636081?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 5. Let s be r(8). Suppose 4*i = 2*m + 666, s*i - 255 = 5*m + 234. What is the remainder when i is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s + 19 - 25*s**3 + 10*s**2 + 48 - 11 - 2*s**2. Let t be h(-24). Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x + 0)*(62*x**2 + 25*x**2 - 22*x**2).\nAnswer: 65*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -3 (c) 1.23 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 1. Let w be j(-1). Suppose x + 4*x = -25, -3*z + 3*x + 24 = w. Differentiate 6*a**z - 6 - 5*a**3 + 2 with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*h + 32258 - 12089 = -447*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.17, 216, 5, -1, -2\/5, -2\/17, -0.27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-420)\/(-1064)*50\/(-750)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -152\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1310 - 28167\/2620. What is the common denominator of z and 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -75780 divided by 8?\nAnswer: -18945\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 2420 = 152*y - 372 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-2 - 16\/(-4). Suppose 5*s - 1 = -p*v, -3*s - v = s + 1. Which is bigger: 6\/17 or s?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 4*b**3\/3 + 8*b**2 + 16*b - 1. Factor y(w).\nAnswer: 4*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*t - 8, -19*t = 4*k - 23*t + 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91, -290, -489?\n\"Answer: -199*d + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7557042 is divided by 2518991?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, h: 3}. What is prob of picking 2 s?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -11 + 31 + -14 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3243 (base 12) to base 7\nAnswer: -22050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11674, 23349, 35022, 46693, 58362, 70029, 81694?\nAnswer: 93357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24616 and 6596.\nAnswer: 2387752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*f + 317 = 1339 + 119 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.237 - 598862?\nAnswer: -599247.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 1 - 4*t**2 - t**3 + t**2. Let m(i) = i**2 + 1. Let w = 15008 - 15007. What is w*o(n) + 3*m(n)?\nAnswer: 3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -268*w + 22153. Determine a(84).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373183574 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1583 + -1 + (-7)\/1. Which is smaller: -1592 or v?\nAnswer: -1592","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 118.994, 0.01, -0.3, 1.\nAnswer: -0.3, -2\/13, 0.01, 1, 118.994","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 31687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:44 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 171*z - 3. Let q be y(6). Let h = q - 711. Suppose -4*o + h = -2*s + 6*s, 4*s = -3*o + 312. Calculate the remainder when s is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {f: 1, h: 1, e: 2, s: 1, k: 2, m: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h - 172. Determine v(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 23*y + 73. Let q be i(3). Calculate the greatest common factor of 143 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 185.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35286?\nAnswer: 2, 3, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:06 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = h - 3*h, 2*h - g = -7. Let c be 1\/(0 + -1 - -2). Put h, 0, -4, c in descending order.\nAnswer: c, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -19*q - 4. Suppose 340 = 3*h + q*l, 4*h - 130 = 3*h - 4*l. What is the common denominator of 700\/h - 8\/2 and 17\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 10*m + 10. Let u(k) = 2*k**2 + 10*k + 8. Let t(g) = g**3 - 4*g**2 + 10*g - 35. Let i be t(4). Let o(b) = i*u(b) - 4*f(b). Factor o(w).\nAnswer: 2*w*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 356 = 219. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 79 = -7. Suppose 2*l = 3*l + r, -5*l + g = -4*r. Let a(p) = 217*p + p**l - 217*p. Let j(f) = 3*f. What is j(a(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65, -77, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/10863887 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 481 + -406. Let h(l) = l**3 + 4*l**2 - 2*l - 6. Let g be h(-4). Suppose 9 = g*s - j. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ab2 - 3?\nAnswer: -ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/60 - 11*n**4\/36 + 28*n**3\/9 - 10*n**2 - 131*n. Let g(q) = 0. What is q?\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -0.22, 1062, -4 in descending order.\nAnswer: 1062, -0.22, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/49 and 44\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4742, 14764, 24796, 34838, 44890, 54952, 65024?\n\"Answer: 5*l**2 + 10007*l - 5270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -765\/2 - -432. Let d = 49 - y. What is the third smallest value in d, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f*f**3*f)**(-3\/34) assuming f is positive.\nAnswer: f**(9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 15. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22613 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 54 = -b - 3*t, -5*b + 234 = -2*t. Let n = 47 - b. Sort n, -4, -3, -2 in descending order.\nAnswer: n, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6 and 65\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3, -102, -2, -12, 0 in decreasing order.\nAnswer: 3, 2, 0, -1, -2, -12, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m + 8*m**2 + 2\/9*m**3 + 0 - 1\/180*m**6 + 1\/12*m**4 + 0*m**5. Determine u, given that v(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1363 - 1366. Let v = 273 - 275. Is v at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*c + 20, -4*s + 12 = -4*c + 5*c. Suppose -c*z = -8*z - 12. Let w = 121\/3 - 41. Put -5, w, z in increasing order.\nAnswer: -5, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3610*b - 4112*b = 38152 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172348488503\/99 - 1740816290. Let x = h - 77527. Let o = x - 58\/9. Which is the closest to 1? (a) o (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**4 + 34*r**4 - 869*r**4 + r**4 + 3*r**3 - 3*r**3 + (3*r**4 - 5*r**4 + 3*r**4)*(0 + 0 + 1).\nAnswer: -824*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 18\/(-5). Let n be ((-3)\/(-14))\/(-1 - g). Let p = -1\/14 - n. Put p, -3\/7, 5 in descending order.\nAnswer: 5, p, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12675369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28146 or 56293\/2?\nAnswer: 56293\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o + 12. Let f be c(-6). Suppose -8*w + 2*w + f = 0. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 12*i + 2530. Give h(-31).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -441*s + 510. Give t(3).\nAnswer: -813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3527, 3520, 3501, 3464, 3403, 3312, 3185?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -251 + 250. Is u less than or equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 4, l: 6, y: 3, e: 2, t: 4}. What is prob of sequence lyl?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170103, 170165, 170237, 170313, 170387, 170453, 170505, 170537?\nAnswer: 170543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x. Let z(l) = 9*l**2 - l - 1. Let f be z(-1). Suppose -5*y + 1 = -f. List the prime factors of o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2986 in 2, 256, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w\/w**(-2\/13))\/w))\/(w\/w**2))\/(w**7\/w*w*((w\/(w**(-11)*w))\/w)\/w))**(-8\/5) assuming w is positive.\nAnswer: w**(1576\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - 8.09. Let w be 5\/(-60)*-2*4\/(-3). Put v, 0.3, w in decreasing order.\nAnswer: 0.3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 - h. Let u(k) = 5*k - 37. Let w be u(7). What is d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1 - 1 - 69*f + 4 + 2. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 9. Let r(v) = -3*v**3 + 2*v**2 + 2*v - 3. Let f be r(2). Let m be p(f). Suppose 5*x - 3 = z, 3*z + 51 = 6*z - 3*x. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199520 is divided by 927?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 68*f + 5. Is q(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13076103 (base 8) to base 3\nAnswer: 12111010011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 17862237.\nAnswer: 71448948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 183943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 21. Let u be (-24)\/p + (-2)\/(-3). Suppose 14 + 5 = s + 5*j, 12 = -4*s + 2*j. Which is bigger: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9937.\nAnswer: 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - 12*n**5 - n**5 - 13*n**5 + 28*n**5 + 13*n**5 + (-n**3 - 2*n**4 + n**3)*(0*n - n - n).\nAnswer: 19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983.883 minutes in seconds?\nAnswer: 299032.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11338926*r + 1582734 wrt r.\nAnswer: 11338926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l - 2*l + 0*l + 0*l - 12. Let n be m(5). Let z = n + 10. Calculate the remainder when 22 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2223*y**2 + 2170*y - 50. Determine i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4703f7 (base 16) in base 8?\nAnswer: -21601767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118408*l**2 + 11017*l**2 + 375704*l**2.\nAnswer: 505129*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9758 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45111 = -2*z - 17*g - 44846, -g - 5 = 2*z - 2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1921, 13450, 34579, 65308, 105637?\n\"Answer: 4800*n**2 - 2871*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 8*t - 2670000. Round t to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 60. Is 11 a factor of 28\/(-21)*(s\/(-1))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 3*f - 48 = 0, 0 = 28*f + 35*f - 66*f - 42 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let o(m) = 5*m**2. Let t(c) = 16*c**2 - 76*c - 18. Let x be t(5). What is x*o(b) + 14*j(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*f + 43, 4*n = 4*f - 121 + 45. Calculate the remainder when 131 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 7.6, 0.4, -3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464719170.\nAnswer: 2, 3, 5, 15490639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*b - 168*b - 3*b**3 + 2*b**3 - 83*b - 2 to o*b**3 + q + f*b + c*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -160 - 1172*d - 365 + 1200*d. Let x(r) = -5*r + 105. Let m(y) = -4*n(y) - 22*x(y). Differentiate m(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h. What is the units digit of k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 475 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -338040357586081 and 2.\nAnswer: -338040357586079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfaa when four letters picked without replacement from zzzazazffaza?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 7940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 + 1\/1. Let v be (-1 - 1)\/(4\/g). Suppose 0 + 2*i + v + 0 + i**2 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452787644 plus 4?\nAnswer: 6452787648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sasagalalgsss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*z - 1 = 19, -2*z - 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from opomyhpyop?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 a factor of 105343655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13 + 8 + 3 + 4 + 6*x + x**2. Let u(d) = 3*d - 1. Let m be u(-2). List the prime factors of q(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/480 - 7*l**5\/240 - l**4\/96 + 7*l**3\/24 - 50*l**2. Factor a(n).\nAnswer: (n - 7)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(931)*-5 + -5)**2 + (sqrt(684)*3*-1)**2.\nAnswer: 350*sqrt(19) + 29451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0483, 1, -3\/22, -2\/5, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -795214.\nAnswer: 159042.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*o = -2*o - 1052, 0 = 3*o - 6. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z + 2. Let k be 30\/(-7) - (-4)\/14. Let c be j(k). Suppose c*b + 18 = -t, 2*t - 3*b + 36 = 2*b. Is -18 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 - -368. Let v = n - 109. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 88887.5?\nAnswer: 88887.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.1 (c) -0.2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7*(7 + -14). Suppose -y*w + 160 = 3*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 676\/130 + (-2)\/10 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004442 to four dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -684 - 86. Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 1860.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 55927*i - 3127829329\/2.\nAnswer: -(i - 55927)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-132)\/(-12) + -9)\/(-17 - -11). Let u be (1\/7)\/(2\/(-6)). Let f(j) = j**2 - 6*j + 4. Let d be f(5). What is the second biggest value in u, m, 2\/3, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 29 = -10 + 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 210 = -4*a. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*d + 192. Suppose 4*f - 12*f = -d. Suppose 166 = 2*m + 132. Solve -m = f*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus -85521?\nAnswer: 85560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 28, -123, -0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 23*a - 153. What is k(-29)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**3 - 3*v**2 - 3*v + 3. Let u(c) = -9*c**3 - 5*c**2 - 5*c + 5. Suppose -2*a - 6*g + 2*g = 22, 3*a + 5*g = -30. Calculate a*k(b) + 3*u(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139*z - 285*z + 95*z**3 - 80 + 146*z wrt z?\nAnswer: 285*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/35*(-21)\/6. Let o = 2 + 0. Suppose 0 = -p*u - o*u. Which is the nearest to u? (a) 0.5 (b) 2\/17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:24 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 + 1 - 1 + (-2 + 0 + 4)*((-3*i + i + 4*i)*(-5 + 1 + 3) + 4*i - 5*i + 2*i)*(-3*i**4 - 5*i**4 + 4*i**4).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/6 - 43*x**4\/6 + 47*x**3\/6 + 127*x**2\/6 - 109*x\/3 + 44\/3.\nAnswer: -(x - 1)**3*(x + 2)*(x + 44)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1587112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 143336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/15)\/((-8)\/(-18)) + (-80106)\/(-316). What is the greatest common factor of z and 30600?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*p = 34, 2*p - 14 = -2*b + 3*p. Let x be 4\/b*(-72)\/(-4). Suppose -k - k = -x. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172191527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-10))\/((-3)\/30). Let g be (-2)\/42 + 2\/t. Is g smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 65. Let a(r) = -120*r - 18. Let f(s) = 61*s + 10. Let u(y) = b*f(y) + 5*a(y). Let v(w) = 2*w**2. Determine v(u(j)).\nAnswer: 5202*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - 3*h - 1. Let y be c(-2). Let g be 4\/(-28) - (45\/(-21) - -2). Suppose 2*q = -g + 4. Solve r + q = -y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 451702143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79401 and 3781.\nAnswer: 79401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9124 + 9078.476. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*n = -83 - 12, 5*n = -z - 11. What is the tens digit of 6\/z - 500\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -3*k**7\/7 + 29*k**6\/15 - 12*k**5\/5 + 2*k**4\/3 - 159*k. Suppose q(s) = 0. Calculate s.\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2066*j - 37489. What is t(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -82 + 0*b**2 + b - 431\/3*b**3. Let h(m) = 2*m**2. Give f(h(w)).\nAnswer: -1724*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 - 4*l. Let t(v) = -v**3 + 3*v**2 + 5*v. Suppose -3*m + 6*m - 5 = -2*y, -m + 30 = -5*y. Let r(f) = m*x(f) + 4*t(f). Solve r(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3121, 12699, 28737, 51235, 80193?\n\"Answer: 3230*d**2 - 112*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g**(-12)\/g*g)\/g)\/g*g*g**(5\/4)*g)**30)**(-50) assuming g is positive.\nAnswer: g**13125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568544059?\nAnswer: 568544059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377350358*0.1.\nAnswer: 37735035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f**(-4\/21))\/f)*f**(33\/4)\/f)\/((f*f*f**(-8)*f*f*f)\/f)**(-23) assuming f is positive.\nAnswer: f**(-7103\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:31 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = 0. Let l(d) = -d**2 + d + 5. Calculate l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*x = -20*x - 682 - 144 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**26 assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3745896232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1976 and 67792.\nAnswer: 881296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(2\/3))\/c)\/c)**(-1\/9))**(-13) assuming c is positive.\nAnswer: c**(-65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 - 5*m + 1. Let u be g(-4). Suppose -u*q - 9 = 106. Let j = -5 - q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10470 - 4?\nAnswer: 10468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5*-4)\/((-70)\/25).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.3, 0.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2611047445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c + 3. Let p be ((-24)\/72)\/((-1)\/(-2))*-6. Suppose -3*k = 6, 1 = 2*x + p*k + 5. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.515 + -1.515. Which is the biggest value? (a) y (b) 4 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 4. Let l = -5 + 3. Let b be l\/((-21)\/(-9) + -3). Suppose -o = 5*z + b*o + 20, 4*o = 0. Calculate j(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 + 1. Let l be j(-1). Let s(m) = -m**3 - 7*m**2 - 5*m + 8. Let a be s(l). Suppose -3 = -3*f + a*f. What is the nearest to f in -1, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -70)\/7*3\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13105087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l = 7*q - 541, -4295*q = -2*l - 4297*q - 46 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 716, 567, 418, 269?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t. Let h = -8 + 5. Let s(p) = p**3 + 2*p**2 - 4*p. Let r be s(h). Let a(j) = j - r + 3. Give a(y(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.7 + 61.6. Let q = f + -22. Let a = q + 2.46. What is a rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*x - 71 - 280 - 25 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*v - 28 = 0, -y - 2*y = v + 42. List the prime factors of -1*(y\/1 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005421 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -79. Let l be (-4 - -410)*(-5)\/2. Let x be b\/6 + l\/(-3). What is x rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 105*b**3 + 175817*b - 175817*b - 130*b**3.\nAnswer: -25*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2040983)\/(-28)*-17)\/25. Let f = 49566 + s. Calculate the common denominator of f and -107\/12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931884879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3*r + 1)*(0 - 1 - 1) + 7*r - 3*r - 7*r)*(-4 + 2 - 1)*(-7*r + 14*r - r) to the form d*r + a + u*r**2 and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/3*4. Suppose 2*a - a = 3*u + n, 0 = 3*a + 2*u - 50. What is the remainder when 55 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 + 18 = j, -2*x = 6. Suppose 0 = 3*p - j + 3. Let c(o) = 13*o - p - 17*o + 0*o. Let l(k) = 5*k + 10. Calculate -7*c(g) - 6*l(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 501 = 1369. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24105 is divided by 5988.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.26, 113 in decreasing order.\nAnswer: 113, -0.1, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -19*x**6\/15 + 35*x**4\/12 + 131*x + 70. Let g(j) be the first derivative of h(j). Find the third derivative of g(p) wrt p.\nAnswer: -912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-99)\/44 + (-6)\/(-24). Let l = 237 - 236.03. Let x = l + 0.03. What is the third smallest value in n, x, -8\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97601, 195183, 292767, 390353, 487941?\nAnswer: 585531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 8. Suppose 3*a = 13 + 62. Let r(v) = -4 - a*v - 2 - 1 + 23*v. Determine -6*l(j) + 7*r(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, -0.5, -0.533?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 30*u + 16. Let a be v(-9). Calculate the greatest common divisor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -16. Let j(s) = -14 + q*s**2 + 14. Let w(i) = -i**2 + i - 1. Let a(m) = m - 1. Let h(u) = a(u) - w(u). Determine h(j(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108591.96554 plus 7?\nAnswer: 108598.96554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + -3*-1*sqrt(68))**2.\nAnswer: -60*sqrt(17) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-702)*4)\/(12\/(-520))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 396*q**2 - 3993*q.\nAnswer: -3*q*(q - 121)*(q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-41082)\/1804)\/(-167))\/(15\/33)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 + -165. Suppose -5*s = j - 4886, -o*s + 19459 = 12*j - 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i + 123. Let t(x) = 11*x - 370. Let c(n) = -8*p(n) - 3*t(n). What is the hundreds digit of c(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21143484?\nAnswer: 2, 3, 137, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r + 5. Let c(j) = -20*j + 15. Suppose -12 = -2*k + w, 2*k - 4*w + 153 = 177. What is k*c(a) - 11*s(a)?\nAnswer: -3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.056 + -0.048. Round j to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1179*b - 200092 = -687*b + 1894*b + 102930 for b.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.1059+1910003\nAnswer: 1910007.1059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4134 + 8392 - y**2 + 4678*y - 4258 to w*y**2 + h*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852 take away 4?\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0 + 6 - 16 + 7 - 114*h. What is the hundreds digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/24)\/(2\/(-4)). Which is the closest to p? (a) 3 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 6414360*y - 25657376.\nAnswer: -4*(y - 1603586)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 12. Let f be v(6). Suppose 0 + f = n. Calculate the remainder when 55 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:15 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*n + 752, n + 1 = 2*n. Suppose 5*h - m = 4*h. Round h to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 44*i**2. Let g(q) = -27633*q**2 - 2*q + 12. What is g(m(z))?\nAnswer: -53497488*z**4 - 88*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Suppose 0 = 19*f - 25*f. Let q(a) be the third derivative of 0*a + f*a**3 + 0 + 4*a**2 + 5\/24*a**4. Calculate q(z(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17290 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -743 and -10558.\nAnswer: 7844594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.182 - 32. What is j rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + f - 28, 0 = 4*a - f + 58. Let k = -15 - a. Suppose 5*g + k*g = 35. What is the highest common divisor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -j + 331 - 335, 3*z = j + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242 - -542. Let q = -296 + w. Solve 2*l + q*l = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 i when four letters picked without replacement from {i: 2, q: 4, f: 2, k: 3, n: 8}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a**2 + 3*a - 1. Let w(q) = -3*q**3 + 2*q**2 + 17*q + 7. Let r(x) = 2*m(x) - w(x). What is the units digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -228? (a) -0.122 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 317353577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/29 at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1)**2 + (((-2*sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(180)) + sqrt(180))**2 - -5*sqrt(45)\/sqrt(81).\nAnswer: -61*sqrt(5)\/3 + 1326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.67 + 673.67. Let k = u - 788.1. Let n = k + 126. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10 (b) 1 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -2, -7, -14, -23, -34, -47?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 2*h - 13*h**2 - 21*h**2 - h + 29*h**2. Let d(w) be the third derivative of -w**5\/60 + w**4\/24 - 3*w**2. Calculate -3*d(z) + t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*r - r + 4*j, -3*j = 2*r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219939987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 - 2*l**4 + 4*l**4 + (-3 + 1 + 0)*(2*l**4 + 1 - 1) - 3*l**4 - 3*l**4 + 3*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/65 and -89\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.582102 rounded to three dps?\nAnswer: 0.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102624 and 18?\nAnswer: 307872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*u + 614 = -155, h - 156 = 3*u. What is the greatest common divisor of h and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 + w**4\/12 - 2*w**3\/3 + 3*w**2. Let m be l(-4). Factor 4*n**2 - n**4 - 4*n**2 - n**2 + 2*n**m.\nAnswer: n**2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 44*z + 173 - 182. Solve 0 = w + x - z, 5*x - 2 = 4*w - 16 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127600 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133141 + 263870. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-10)*((-50 - 22)*1 - -25 - -22)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 27. Find the third derivative of r*z**2 - 2*z**2 - 8*z**5 + 7*z**2 wrt z.\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103346103 (base 7) in base 2?\nAnswer: -10111100100110000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 119. Let q = -63 - s. What is the greatest common factor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.01503 + -0.01503. Put l, -2, -1\/9, 3, 5 in ascending order.\nAnswer: -2, -1\/9, 3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 200 = -2*i. Is 28368\/i - 2\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 538557.3 millimeters?\nAnswer: 53855.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -22.2. What is f rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315472*m**2 + 282480*m?\nAnswer: 630944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3681 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7754, -7806, -7896, -8042, -8262, -8574?\nAnswer: -8996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -337 - -333. Let n = -0.04 + -0.46. Let y = -1.5 + n. Which is the third biggest value? (a) o (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.71 - 87.81. Let s = 0.15 + 2.25. Let v = n + s. Which is the smallest value? (a) v (b) -22\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*a + 38, -2*c - a - 22 + 6 = 0. Let i be ((-3)\/c)\/((-2)\/(-936)). What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*l**3 + 6060*l**2 + 438*l**3 + 5*l**3 + 6 - 6059*l**2 in the form p*l**3 + d + c*l + y*l**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336488842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8789 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 23*k. Let c(y) be the first derivative of 5*y**2\/2 + 95. Give p(c(o)).\nAnswer: 115*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*f + 15, -2*f - 5*b + 43 = 21. Let q(k) = -30*k + 2. What is q(f)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(4 + -3))\/((735\/(-6))\/7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = 4*u + 10, -2*u = 4*y - 8. Let i be (-22)\/(-18) - 2\/9. Let l = 2 + i. Solve -2*r - l = -y*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w - 20. Let r = 4 - 3. Put -3, w, r in decreasing order.\nAnswer: r, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-72)\/(-30). Let f(b) = -5 - 5*b + 0*b**2 + 22 - b**g. Let j be f(-7). Solve -q + j*s = 5 + 12, 2*q + 22 = 3*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -811 + 924. Let f = -13 - 4. Let p = d - f. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*2*sqrt(11) - sqrt(11)))*-1 - (((sqrt(11) - sqrt(77)\/sqrt(112))**2 - sqrt(11)) + ((sqrt(330)\/sqrt(6) - sqrt(55)) + sqrt(55))\/sqrt(5)).\nAnswer: -19\/16 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 922*x**4 - 889*x wrt x.\nAnswer: 11064*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -580516 divided by 290258?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 1 - (-19 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016005 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 37*u**2 + 8*u - 63. Is r(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-208)\/(-39))\/16)\/((-5)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 12. Let v = p - -7. Let y be (-10)\/(-4)*(-8)\/30. What is the third biggest value in y, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 3:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 0*h**3 + 2*h**2 - 2*h**3 + 59 + 6*h**3 in the form w*h**3 + b*h + f + n*h**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b = -7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 2\/4. Let n(j) = -6*j + 3*j + 20 + 2*j. Let k be n(18). Which is the nearest to 0? (a) k (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2\/2) + 1. Let f = k + -2. Is f equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 3*u**2 - 13*u**2 + 8*u**2 + 47*u**3 - 8*u**3 to the form p*u**3 + g + y*u + f*u**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*l**3*o**2*x**3 + 778*l**3*o*x**2 - 216*l**2*o**2*x**3 + 2*l**2*o**2 + 37*l*o*x**3 + l*x**3 + o*x**3 wrt l.\nAnswer: 432*o**2*x**3 + 4668*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 77*n + 1. Let b(g) = -1258*g - 5 + 5 + 1259*g. What is o(b(p))?\nAnswer: 77*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2*b + 2. Determine h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1182704 by 73919.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85140.49 nanograms to tonnes.\nAnswer: 0.00000000008514049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24 = -5*w, -5*c + 5*w = -2 - 28. Suppose c*s - 15 = 0, 5*n - 74 = 4*s + 6. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:01 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*i + 191.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 77472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -35. Let b = 241 - 6265\/26. Is b > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*z + 2*z - 50, -5*m - 5*z - 30 = 0. Let o(w) = -w - 3. Let j be o(m). Solve -15 = -j*c + 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = 67. Suppose -d = -30 - a. Let u = d - 46. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(2 + (-2*2*(2 + sqrt(567)))**2))*-4.\nAnswer: 13824*sqrt(7) + 219308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4686 - -4?\nAnswer: -4682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6560 less than -378762?\nAnswer: -385322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/17)\/y*y)\/y**23)\/(y*y*y\/(y\/(y*y**8)))**(1\/13) assuming y is positive.\nAnswer: y**(-5244\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 7608 = -9220. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1092*j**3 + 535*j**3 - 2*j**2 + 525*j**3 to the form s*j + h*j**3 + r*j**2 + d and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - 29. Let n = -42 - z. Solve -5*r + 15 = -n*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let v(q) be the third derivative of -q**6\/360 + q**3\/2 + q**2. Let s(l) be the first derivative of v(l). Calculate f(s(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-2)*(585556\/(-12))\/(-1). Let h = -2823890 - a. Round h to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u**3 + 96*u**3 - 32*u**3 + 5.\nAnswer: 16*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 6*u - 5. Suppose o - 7 = -0. Let l = o - 2. What is n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 68, -5, 502 in descending order.\nAnswer: 502, 68, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6395889058.\nAnswer: 2, 13, 43, 89, 64279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - 2. Let w be v(-9). Suppose 10 = o + 2*f, 0*f = -4*o + 4*f + w. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1341 + 1101 - 887)*(-w**2 + 3*w**2 - w**2).\nAnswer: 1555*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7828 + -7830. Sort 75, 26, m in increasing order.\nAnswer: m, 26, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (((-37)\/222)\/(4\/6))\/((-15)\/11940)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 215 + 134 = 5*d - 227, -5*d + 96 = -4*d + h for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161, 670, 1497, 2630, 4057, 5766, 7745?\n\"Answer: -2*h**3 + 171*h**2 + 10*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 160, 174, 242, 370, 564?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.1 - -1.9. Let x = 21 - g. What is the biggest value in 0.3, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.222 - -0.2220093. What is b rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:23 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229560209?\nAnswer: 59, 3890851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6492\/(-5410))\/(-1 - 96434\/(-96440))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 498*i + 3.\nAnswer: 498*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 3620 = 63*k - 1489. Calculate the greatest common factor of 14781 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*f - 2)*(-7 + 2 - 1) + 3*f + 2 - 2 + (-3*f + 2*f + 2*f)*(-1 + 7 - 4) + f - f + 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 divided by 10?\nAnswer: -249\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/9*(4\/41)\/(1428\/4182)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 - ((-8640)\/(-2016))\/(42\/49).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6771*-6.83.\nAnswer: -46245.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**3 - y**2)*(-8 - 13 + 14)*(7*y + y**2 - 7*y).\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4019132 and -1508649.2.\nAnswer: 2510482.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232940921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**9\/20160 - v**8\/6720 + v**5\/60 + v**2. Let s(t) be the third derivative of x(t). Find the third derivative of s(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13411 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 143.117 milliseconds?\nAnswer: 143117000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2)*(-3 + 2). Let x be -40*2\/(-8)*2. Suppose -4*b + 0 = x. What is the closest to -1 in b, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:00 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -124 + 46 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-255)\/36))\/(13\/65)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -5.9. Let v = -15.551 + j. What is v rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 7*j**2 - 9*j - 10. Calculate o(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 974\/9 - 108. Let z = 29 + -28.6. Sort z, x, 4 in descending order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4919027090 divided by 5.\nAnswer: -983805418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 206563 (base 7) in base 15?\nAnswer: a9c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98452 and 32?\nAnswer: 787616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16794479?\nAnswer: 13, 1291883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(528))\/(sqrt(11) + sqrt(11)*-4*6) + -5.\nAnswer: -5 + 4*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 8*w - 2. Let q be z(-5). Suppose -q + 13 = 4*u. Let s be (-1 - 2) + 2\/(-3). Which is greater: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 14963771 + 13536229. What is l rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2580 and 11183440?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 436581 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 9*q**2 - 14*q + 4. Calculate r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273790519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 27 + (32 - 61).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 110 = -5*o, 81*o + 3*y = 83*o + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*s**2 + 15 - 3*s**3 - 72*s**2 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1500.5 * -8290.\nAnswer: -12439145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4431768 by -3.\nAnswer: -1477256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 - 2*a - 14. Let b(u) = -3*u**2 + u + 10. Let j(d) = -7*b(d) - 5*i(d). Let q(x) = -3*x**2 - 8*x. Give -8*j(m) - 3*q(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pol when three letters picked without replacement from {l: 5, f: 11, p: 1, o: 2}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(11 + (-287)\/28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39970 is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = o, -2*o = -5*v - 0 - 20. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16568 is divided by 319.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**2 + v**2 + 48*v - 48*v.\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + 0.09. Let g = 0.14 + t. Which is the nearest to -2\/15? (a) 5 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3227 + -458. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.27 + 10. Let i = -0.17 - q. What is the third smallest value in -1\/6, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 133*q**4\/24 + 19*q**3\/3 + 5*q**2 - 3. Does 16 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*l + 43. Let n = l + 39. What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/10)\/(2 - 3). Let g = -47 - -234\/5. What is the smallest value in -3\/5, g, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201034387, 201034388, 201034389, 201034390, 201034391, 201034392?\nAnswer: 201034393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -60*j**3 - 16*j**2 - 41*j - 72. List the prime factors of q(-10).\nAnswer: 2, 43, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Let k = r - 0. What is the second derivative of 4*u + 2*u - 4*u + k*u**5 wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7882815 years to millennia.\nAnswer: 0.0007882815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 10*p + 101 + 11*p)*(0*p**4 + 0*p**4 - p**4).\nAnswer: -21*p**5 + 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403.8 + -404. What is the nearest to -0.2 in -2\/15, h, 0, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 0.6, 25.7, -0.0323, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3945000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 379894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 326\nAnswer: -52\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 312839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 78463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -234510500 to the nearest 1000000.\nAnswer: -235000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 834191 (base 10) in base 8?\nAnswer: 3135217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 25*l**2 - 28*l - 38. What is z(-26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 5*z - 2. Let j be b(3). Let k(c) = -2*c - 1. Calculate the least common multiple of k(j) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382759192 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 14*d**2 + 10*d - 6. Let t be o(-10). Suppose 3*n + 3 = 0, l - n = -0*l + t. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*c**4 + 352*c**3 + 1636*c**2 + 1928*c - 1056 = 0. Calculate c.\nAnswer: -11, -4, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 + 46*s - 42. Let t be i(-13). Let u be (-16304)\/t + (-11)\/(11\/(-2)). Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(90)\/sqrt(3)*-5)\/(sqrt(10)*1*-2).\nAnswer: 4 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 0)\/((-19 - 1)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29005, 116357, 261943, 465763, 727817?\n\"Answer: 29117*x**2 + x - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t. Suppose 14*g - 10*g + 28 = 0. Let c(u) = 10*u + 7. Let v(b) = 6*b + 4. Let h(q) = g*v(q) + 4*c(q). Determine n(h(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12863998 is divided by 4287993?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2034643401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5)*80\/2. Let h = -8800 + 8880. What is the greatest common divisor of y and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 96 + 467*t - 180 + 239*t)*(18*t**3 - 31*t**2 + 31*t**2) in the form p + r*t**2 + v*t**3 + a*t + i*t**4 and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4083 - -1.4083. Is 6\/1661 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34818 + -1b?\nAnswer: -34836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 164829 divided by -987?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 1683*p**3 + 99801*p**2 - 104835*p - 202950 = 0.\nAnswer: -55, -1, 2, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 125976.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -12. Find the common denominator of 43\/8 and (-4)\/3*54\/i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l - 526 + 5558 = 263*l - 1139 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1294600 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -1 + (2 - -5). Let z(p) be the first derivative of -p**4\/8 + p**3\/6 + 3*p**2\/2 + 2. Let b(t) be the second derivative of z(t). What is b(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 630 + 5958 = 0. Let c = k - 429. Suppose -7*y + 33 = -c. Calculate the greatest common factor of 120 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -8. Let s(y) = y**3 - 7*y**2 + 6*y. Let m be s(v). Is (m + (2 - -9))\/1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 70*o + 821. Calculate a(-28).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33021 (base 4) in base 6?\nAnswer: -4253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9498?\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 4:04 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-4*-6*2*sqrt(3800))\/(-3*(sqrt(96)\/sqrt(32) + sqrt(12))\/(sqrt(18)\/(sqrt(48) + sqrt(3)))))**2.\nAnswer: 311296\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjxxjjjxjjjxxjj. Give prob of sequence xxjx.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 132132031 (base 4) to base 11\nAnswer: 85857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002812 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2772982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 307179296?\nAnswer: -153589648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose -2*o + 64 = 4*p, -5*p + 4*o + 80 = -n*o. Suppose -2*j + 2*i = j + 2, 4*j + 2*i = p. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/14 - (-11)\/7. Let w(u) = 4*u**3 + u**2 - u + 1. Is w(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:20 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3292 less than -6006?\nAnswer: -5991.6708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.244046 or 0.1?\nAnswer: 0.244046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -13.97 in decreasing order.\nAnswer: 6, 5, -13.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -5*k + 130, 3*c = 3*k + 366. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 16*j. Let q(c) = 3*c. Let m(z) = -7*z - 20. Let i be m(-6). Let a(x) = i*q(x) - 4*h(x). Let d(l) = 2 + 2*l - 2. Give d(a(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2*6))\/((-5655)\/585)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:42 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*z + 586*z + 756 = 0. Let h(w) = w**3 + 4*w**2 - 3*w + 4. Calculate the remainder when z is divided by h(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72052744*o*s**2 + 412*o*s + 11287*s wrt s.\nAnswer: 144105488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*x + 10, h = 3*x + 14 + 10. Calculate the greatest common factor of h and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-4 - -1) + 1). Suppose -r*j - n = n + 9, 0 = -3*j - 4*n - 11. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-21 + 3 - 0). Which is the nearest to q? (a) 3\/10 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 146\/5 (c) 0.5 (d) 0.2 (e) -0.02 (f) -320\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 3531 = 25*m. Let u = 32 + m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 39*h + 920. Give c(-26).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224 by -32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -632 smaller than -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + -1*-2*sqrt(24) + sqrt(24))\/(-3*sqrt(24)\/sqrt(3))*3.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592, -371, 4, 539, 1240, 2113, 3164, 4399?\nAnswer: 5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y + 8. Let i(z) = z**2 + 10*z - 9. Let s(a) = -6*i(a) - 7*t(a). What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293243780 rounded to the nearest 1000000?\nAnswer: -293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 3692.\nAnswer: 3692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 5 = -67. Let o(m) = -m**3 - 11*m**2 + 11*m - 10. Let s be o(v). Factor 0*w**s - 3*w - 4 - 4*w**2 + 3*w**2 - w.\nAnswer: -(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180 or 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 4*k**3\/27 - 8*k**2\/9 + 16*k\/9 + 24. Suppose p(h) = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttttstt. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 23.2, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -736931, -737176, -737583, -738152?\nAnswer: -738883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 23*t - 9. Let z be c(7). Solve 4*m + 2 = z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f + 3*w + 10, -f + 4*w + 11 = 0. Let j = -63\/19 - -1323\/38. What is the common denominator of (243\/(-6))\/(f - -3) and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37 - -0.13. Let n be 6\/2 + (85\/(-30))\/1. What is the closest to -0.1 in r, n, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 179, 268, 359, 452?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.33 (b) -1700 (c) 2\/23 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -24*f + 25*f - 276, 218 = 4*w - 2*f. Solve -33*l = w + 44 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8608.877 millilitres in litres?\nAnswer: 8.608877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - 4*z**4 + 2*z**4 + (226 - 506 - 413)*(z**2 + z**4 - 1121 + 1114 - 2*z**2) in the form f + a*z + k*z**3 + n*z**2 + g*z**4 and give g.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 - -461?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 60 = -15. Suppose -4*v + t = -v. Let m(g) = -g - v + 4 + 3 + g**3. Give m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*j + 63 + 62 - j**4 + 2*j**3 - 124 to w + p*j**4 + i*j**3 + v*j**2 + g*j and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 24, 26, 30, 36, 44?\n\"Answer: z**2 - 3*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064620493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/(8\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -90)*-2 - -3*1. Calculate the highest common factor of v and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/162905 and 41\/5.\nAnswer: 162905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 2*f**2 - 3*f - 1. Let h be n(0). Let v = 4 - 0. Suppose 0 = 2*i - 7*i + k - 23, 12 = v*k. Put h, i, 3 in decreasing order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 174*l + 712. Determine v(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (546\/(-364))\/(22\/(-16)*6). Which is the nearest to 2? (a) 0.3 (b) 6\/5 (c) y (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 26*p**2 - 31*p - 80. Let o be u(-27). Suppose -3*a + o*i - 23*i = -12, 0 = 2*a - i - 8. Solve -a*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56418\/19 - -11006488\/3705. Let y = -2\/195 + s. Factor 0*r**2 + 0*r + 0 + y*r**4 + 1\/3*r**3.\nAnswer: r**3*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 10, -5*t = 3*m - 32. Suppose -c - 5 = t*c. Is (-4 - -2 - 885)*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*4 + sqrt(875))*-5)\/(sqrt(63)\/(sqrt(9) - sqrt(18)\/sqrt(2)*6)).\nAnswer: 625*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 divided by -58?\nAnswer: 211\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 9*b**2 + 8*b + 9. Let f be a(-8). Let n = -4 + f. Solve -4 = 2*i + 3*d, -8*i + 4*i - n*d = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53099, -50783, -46937, -41567, -34679, -26279, -16373?\nAnswer: -4967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a2 (base 11) in base 14?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 r when three letters picked without replacement from sdhsrhhbllsrl?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 469 - 164 - 154 + 21*u.\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 10:05 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -201, -230, -187, -48, 211, 614, 1185?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 3*t + 3*h - 1430, h = -3*t + 1070. What are the prime factors of t?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -217*z + 49. Let m(a) = 9*a - 2. Let i(j) = 18*j - 4. Let f(o) = -3*i(o) + 7*m(o). Give 49*f(r) + 2*h(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpsrlppplplplpl. What is prob of picking 1 r and 1 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -36. Let z(n) = 4*n**3 + n**2 - n + 1. Let v be z(b). Solve -d = 2*p - v, d + p - 8 = -4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192) - sqrt(108)*4 - ((sqrt(21) - (sqrt(84)\/sqrt(4) + sqrt(21))*-1)\/(sqrt(567) + sqrt(63) + sqrt(63)))**2)*3.\nAnswer: -96*sqrt(3) - 9\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103014023 (base 6) to base 11.\nAnswer: -1034795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*x + 2 = 0, -4*m + 0 = -2*x - 4. Suppose -c - 3 = -5. What is the third derivative of 0*o**c - m*o + 2*o + o**2 - 4*o**4 wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1160\/(-6)*(-99)\/(-22). What is a rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5\/2)*0. Suppose p - 4*p = k. Solve p = -3*y + 4*q - 19, 4*q - 1 + 2 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 8, -180*g + 179*g = -3*o - 29072. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 13. Let w = p + 4. What is the tens digit of -1 + (-4 - -3) + w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1243 is divided by 41.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31710.63mg to kilograms.\nAnswer: 0.03171063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 446898.09 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wws when three letters picked without replacement from {s: 5, w: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*b + 19 = q, -3*q + 112 = b. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 697 in 61, -0.5, -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -40?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -5. Let s = i - -5. Let p(c) = -c**3 - 14*c**2 + 57*c + 405. Let w be p(-16). Solve -5*d + w*m = -s + 10, -4*d - 12 = -2*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018259 to four dps.\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 0. What is the common denominator of (-6)\/o - (-542)\/220 and (-117 - -10)*-2*2\/24?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27316*t**3 - 80*t**2 - t + 71?\nAnswer: 163896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -15*t + 10. Solve -3*f - 4*r - 14 = -f, -t = 5*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-120) - (-73)\/(-6). Let z = b - -7. Let i be 1*(-3)\/(z*3). Sort i, 5, 1\/6 in ascending order.\nAnswer: 1\/6, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -569*j**3 + 7*j**2 + 6*j. Is l(-1) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.722 + 153689\nAnswer: 153689.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -55033?\nAnswer: -55031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:35 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1265\/(-69))\/11)\/(10\/(-12)). Put -7, u, -16 in descending order.\nAnswer: u, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1156957 in -0.08, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**8\/84 + u**6\/20 + u**5\/30 - 17*u**4\/24 - 53*u**2. What is the third derivative of g(k) wrt k?\nAnswer: -240*k**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/6 + 13*f**2\/2 + 33*f. Let c be y(-13). Let p be (22 - c) + 0 + 8\/4. Is 23 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:16 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23156201 - 66?\nAnswer: -23156300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, and 1 b when three letters picked without replacement from blblrbbrlrblrr.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-2\/27))\/t)\/t)\/t**(-1))\/(t*t**(-1\/4)*t*t**(16\/3)) assuming t is positive.\nAnswer: t**(-757\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2722550 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 10 + 9*h - 6*h + h**3 - 5*h + 0*h**4 to s*h + t*h**4 + q + y*h**2 + x*h**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + ((-400)\/175)\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 - 6*o + 6. Let k be (4*(4 - 2))\/((-4)\/(-2)). Let c be b(k). What is the common denominator of -61\/10 and 731\/c + -3 + (-1 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121.031 or -7482?\nAnswer: 121.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -h - 2246 + 918, -2*a + 650 = -4*h. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*o = 0, 5*o - 39 = m - 5*o - 9*o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4.3, -499, -2\/5, 1\/5 in descending order.\nAnswer: 4.3, 3, 1\/5, -2\/5, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.483 - -0.017. What is the nearest to -0.1 in -1\/7, i, -10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 9*i**2 - 8*i - 7. Does 5 divide u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*a**2 - 21 + 19 + 12*a**2)*(2 + 0 - 3) + (27*a + 22*a - 61*a)*(-a - 2*a + 2*a) in the form v*a + p*a**2 + i and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, 0.02, -1, 0.0156, -0.4, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-39) - 1166\/(-26). Suppose 2*r = 3*s + 32 + 61, 0 = r - 2*s - v. Let a = r - 29. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26661638 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/9 - 38592832*w\/9 - 372351670445056\/9 = 0 for w.\nAnswer: -19296416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312723.\nAnswer: 17, 37, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27052 bigger than 27052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 34 + 75 + 30*h**2 in the form w + b*h**2 + m*h and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4*y, -3*o + 113*y = 117*y - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 4. Let d be w(-3). Suppose 5*j + 8*j = 156. Suppose -t + j = 5*t. Let i(b) = 4*b + 2. Let a(m) = -12*m - 7. Give d*i(g) + t*a(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 9*n**2 - n + 9. List the prime factors of i(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 - 3) - (-1 - -17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 7:19 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (-89 - -41) - -18.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-14)*d)\/d**(-1)*(d\/d**(-1\/6))\/d**(-21) assuming d is positive.\nAnswer: d**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 12\/10987, 0.5, -4\/3?\nAnswer: 12\/10987","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 604 = -284. Suppose -3*g = -214 + j. Solve h + 0*h + 11 = 4*p, 4*h - 5*p + g = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8*i + 148. Give z(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010215 to 6 decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 + 17 - 17)*(-12 - 7*a + 12).\nAnswer: -63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01186218 rounded to 5 dps?\nAnswer: -0.01186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/2, -188.7, 1\/7, -1\/7, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 571\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*r + 56 = 0, 3*r - 12 - 23 = -2*o. Suppose -5 = -3*t + o. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/12, -1, 3, -0.09, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3099203602 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i. Let s = -188 - -188. Let y(j) be the third derivative of s*j + 0*j**3 + 3*j**2 + 0 + 0*j**4 - 1\/30*j**5. Determine y(z(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Let g be (136\/6)\/((-14)\/105). Let t = g + 2212\/13. What is the smallest value in -1, t, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - f**2\/2 + 154*f. What is z(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105, 217, 341, 483, 649, 845?\n\"Answer: x**3 + 105*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-5 - -4) + 4 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35397 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-3 + 1 + 3). Suppose -5*z = m*z - 16. Solve -i - z = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)\/((-14)\/70). Solve -a*h - 3 = -23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*v + 335139*d - 136496*v**2 + 2 wrt v.\nAnswer: -d - 272992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 12776.026384.\nAnswer: 12774.026384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944653917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -3*c**7\/280 + 29*c**6\/160 - 21*c**5\/40 + c**4\/2 + 132*c**2. Solve x(q) = 0 for q.\nAnswer: 0, 2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrjccrcjcuju. Give prob of sequence ujj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 1145637*j + 334 - 35 + 1145637*j to the form a*j**3 + r*j**2 + o*j + i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 1709420.\nAnswer: -205130.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 1805\/6?\nAnswer: 1805\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 84.5. What is n rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1805 less than -0.2?\nAnswer: -1805.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -19*y - 292 + 38*y - 290 + 582. Let t(a) = -12*a - 3. Let g(h) = 35*h + 8. Let i(j) = -3*g(j) - 8*t(j). Give f(i(z)).\nAnswer: -171*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*d - 175, 11 + 9 = 5*d. Let n = 33 + s. Solve 6*m - m = -b, n*m = -2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 139*h - 3. Let i(s) = -s**2 - 2*s - 16. Let p(u) = -5*u**2 - 9*u - 72. Let y(b) = 18*i(b) - 4*p(b). Calculate y(w(d)).\nAnswer: 38642*d**2 - 1668*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.072467ng?\nAnswer: 0.000000001072467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z + 7. Let l(w) be the second derivative of w**4\/12 + 11*w**3\/3 - 15*w**2\/2 - 22*w. Let f(a) = -5*i(a) - 2*l(a). Factor f(y).\nAnswer: -(y - 5)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 11*j**2 + 4*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - v + 9 = 8, -2*v = 3*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6*y**3\/7 + 10432666*y**2\/21 - 16228558*y\/21 + 1931970\/7 = 0.\nAnswer: 5\/9, 1, 579591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by 17.\nAnswer: 212\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 195, 1688, 4485, 8586, 13991, 20700, 28713?\n\"Answer: 652*y**2 - 463*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242 - -535. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12407866 and 1324?\nAnswer: 24815732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-36)\/8. Suppose z*l - 360 = l. Calculate the greatest common divisor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 92 = -376. Let g = v + 281. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -1091801706745.\nAnswer: -1091801706755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p - 27*p - 12530 = -45*p. Sort p, -3, -4 in descending order.\nAnswer: -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from grrrrgrrrrg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842 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: Let c(w) = -5*w + 6. Let k be c(4). Let m = k - -24. Let i be (-16)\/40 + (-46)\/m. Let t(z) = 2*z + 2. Determine t(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/18*(-28)\/2. Suppose 0 = -4*o + o + j. Solve o*y - 4 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1907687, -1907612, -1907535, -1907456, -1907375, -1907292, -1907207?\n\"Answer: q**2 + 72*q - 1907760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 20. Let c = 49 - 24. Let w be o(c). Is 6\/10 + (-2057)\/w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + (-250)\/2. Let a = -1878 + 1528. Let o = y - a. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4450315us?\nAnswer: 445.0315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 13*r**2\/2 - 21*r - 2891. Let u(k) = -3*k + 5. Determine 9*u(g) + 2*w(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -51*r**2 - 257*r + 20. Let f be n(-5). Solve -17*w + f + 55 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 + 0*n**2 - 10 + 6 - 5*n + 3*n**2. Suppose -2*z + 20 = -3*r - 6*z, -18 = 4*r + z. Determine f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v**1)))\/v*v**(-3\/7))\/((v*v**(-3))\/v**6))\/(v**(-2\/11)\/(v\/v**(-2\/19))*v\/v**(-6)*v**(-1\/5)) assuming v is positive.\nAnswer: v**(22373\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**5\/20 + 7*w**4\/12 + w**3\/3 + 11*w**2\/2 + 2*w. Let o be k(7). Solve -6*y = -y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 14\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/6*(-6)\/(-7). Suppose -d*s - 71 = -7*s. What is the common denominator of s*1\/6*-1 and 85\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r + 42. Let d(o) = -6*o + 43. Let h(u) = 6*d(u) - 7*g(u). What is the remainder when h(6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-365)\/(-11680)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5338 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 326 (b) 5 (c) -0.2 (d) -4 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/21 and ((-4)\/(-8))\/(-3 + (-945)\/(-348)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**42\/h*h)**(-3\/25) assuming h is positive.\nAnswer: h**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(130) - 4*sqrt(130)*-1) + sqrt(130) - (sqrt(130) + -4*sqrt(130)*3))\/(6*1*(sqrt(250) - sqrt(250)*2)))**2.\nAnswer: 6457\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let v = -6 - s. Let h = 0.3 - 4.3. What is the biggest value in v, -5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 3:53 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43438596?\nAnswer: 2, 3, 3619883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2199 - -2211. Let a be (-8)\/(-5) + 2\/5. Suppose 5*y - m = -w, a*y - 123 = -4*w + 7*y. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 20. Which is greater: 8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 10*v**2 - v + 9. Let f be z(10). Let s be (f\/(-5))\/(126\/(-15)). Let x = -27\/7 - s. What is the common denominator of 11\/7 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 7. Let o(s) = -s**2. Let r(b) = 4*b**2 - 6*b + 3. Let f(m) = -3*o(m) - r(m). Let p be f(4). Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1001111011100?\nAnswer: 1001111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:17 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.476.\nAnswer: -1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 21*s + 1296. Let c = s + 676. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*o = -69, -3*o - 33 = -4*t + 54. Is 17 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583 divided by -586.\nAnswer: 583\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, -69, 16, -97.\nAnswer: -97, -69, -37, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 17823 + 4*h**4 + 147*h**3 - h**4 - 2*h**4 + 17822 to the form i*h + y + o*h**3 + q*h**2 + t*h**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -417103 (base 11) to base 14\nAnswer: -13578a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -5*v**4\/2 - 17*v - 17. Find the first derivative of t(d) wrt d.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 2d2f?\nAnswer: -2d2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x - 5*x**2 + 6*x**2 + 4*x + 5 + 2*x**2 - 5 - x**2 + x**2 - x**2 - 2*x**2 - 4 + 4 + (-2*x + 0 + 0)*(2*x - x + x) + 1 - 1 + x**2 - 2*x - 2*x**2 + 2*x.\nAnswer: -5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*r = 79*r - 5*d + 20, 16 = 3*r + 4*d. Which is smaller: r or -3\/11236?\nAnswer: -3\/11236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 3*s + 78, -32 = -62*s + 57*s + 3*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25286592 by 64.\nAnswer: -395103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 9*t**2 + 2*t + 5. Let w(z) = -z**3 + 10*z**2 + 2*z + 5. Let b(o) = 4*s(o) - 3*w(o). Let k = 102 + -96. What is b(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/256*(-132)\/(-2))\/(1\/(-1)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3\/8 - 2061*l**2\/4 - 1559547*l\/8 - 24008457\/2 = 0 for l.\nAnswer: -649, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 45 - 30 = -48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-423)\/(-18) - (21 - -1))*(-40)\/630.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:37 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-20)*((-297)\/(-495))\/((-3)\/10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2142)\/4284*138\/(-4))\/((-3)\/(-8))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaao when four letters picked without replacement from oaaaaaohhhaahaao?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, v: 1, t: 1, l: 2, z: 1}. Give prob of picking 1 t, 1 a, 1 u, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 14 = -10*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 18*m**2 - 308*m - 3459. Let j be o(-12). Is j >= 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3244867 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42900?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30266698 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c - 8 = 0. Let f = 1 - -1. Let r(j) = 2*j + j**c + f*j + j + 2. Determine r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-28)\/r)*r*r\/r**(-32))**22 assuming r is positive.\nAnswer: r**1408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 852*x**4 - 2*x**3 - x + 77 wrt x.\nAnswer: 10224*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/3 + 25688*r**4\/3 - 77200*r**3 - 539224*r**2\/3 + 6302380*r\/3 = 0 for r.\nAnswer: -6431, -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -4788, -16149, -38274, -74751, -129168, -205113?\nAnswer: -306174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 545\/6 + -349\/3. Let s = l + 26. Let d be 6\/9 - (-7)\/12. Which is the third smallest value? (a) d (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67682638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(-1)*(-50)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1660570.4099945 + 1660570. Let a = 80 + -80.41. Let v = a - g. What is v rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 - 4*q - 9. Let m(v) be the second derivative of -15*v + 0 - 5\/2*v**2 - 5\/12*v**4 - 1\/3*v**3. Calculate -7*m(j) + 4*r(j).\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -212200 (base 3) in base 2?\nAnswer: -1001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 668*x**3\/3 - 14. Let g(w) = -w**2. Give v(g(r)).\nAnswer: 668*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - 2 - (19 + -4 + -41)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27527248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97540, 195197, 292994, 390961, 489128?\nAnswer: 587525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 994*q - 5998. Let n be o(6). Let b(k) = -2*k + 8. Let x(y) = y. Let g(t) = b(t) + x(t). Let d be g(6). Solve 2 = n*w - d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*a + 12, -2*p + 2 = 3*a - 8. Is 1681\/2 + (-27)\/a + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.26527709 - -45.265. What is v rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h - 18*h + 4479 = 2*h + 3153 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*w - 599*w + 1211*w - 13*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 6. Let o be -5*((-2)\/(-1) + t). Suppose 3*l - 13 = -0*u + 2*u, -5*u + o*l = 25. Is -2\/3 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257453 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 5*q + 12)*(-2 + 0 + 13*q - 5*q).\nAnswer: 40*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 5401?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -432.9 - -416. Let n = z - -17.3. What is the third biggest value in -0.4, -6\/17, 4, n?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27436 and 4560.\nAnswer: 1646160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:11 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*x**2\/2 + 564483*x\/2 - 24543.\nAnswer: 3*(x + 8181)*(23*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 6. Let a(c) be the third derivative of -c**3\/6 + 30*c**2. Give -6*a(f) - p(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b = -77*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 77. Let t = -4 - -9. Suppose -25 - 10 = -t*c. What is the remainder when d is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Suppose 4*r + 0*r = -5*f + 115, n = 5*f - r - 115. Is f a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4033344 + -23?\nAnswer: -4033422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -1.2. Let v = -195.979 + 183.97. Let r = v - -0.009. Is k < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 55 + 119 = -4*u, 0 = 2*i - 3*u - 70. What is the least common multiple of i and 492?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 455648 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 less than -86581.361653?\nAnswer: -86518.361653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20697768 divided by 3402\nAnswer: -6084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -17 - 10) + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -61*y - 3854. Let n be u(-63). Let p(q) = 6*q + 72. Give p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-3) + -5 + (-1)\/3. Let l(x) = -x**2 - 2*x - 6. Let p be l(h). Let f be (-3)\/((9\/(-4))\/p). Is f > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-16))\/3*4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/560 and -169\/4500.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1397*w + 244 - 424*w - 215*w + 373 + 116 wrt w?\nAnswer: -2036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(7\/((-91658)\/4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*b**4*t + 839*b**3*r*t + 520*r - 3*t - 1 wrt b.\nAnswer: 40*b**3*t + 2517*b**2*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + q - 1. Let o(s) = s**3 - s**2 - 1. Let k(c) = -4*c**3 + 3*c**2 + 3. Let y(z) = -k(z) - 3*o(z). Give 2*l(m) - 3*y(m).\nAnswer: m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from ggmggemggmrmgggge?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**4 + 249*u**3 + 2 - 123*u**3 - 125*u**3 to the form v*u**3 + w*u + z*u**2 + m + g*u**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) - 2*sqrt(75)*1))**2*-3 - ((sqrt(300) + (sqrt(300) + 0 - sqrt(300)) - sqrt(300)) + -2 + 2)**2.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 + 244. Let w = b + -43. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0 (c) 1\/5 (d) 1.92514 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 + 609*j**3\/2 - 3*j**2\/2 - 1825*j\/2 + 609.\nAnswer: (j - 1)**2*(j + 2)*(j + 609)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*k + 5*k - 10, -3*k = 6. Suppose 5*q + 2 = -7*o + w*o, -4*q - 12 = 5*o. Let m(v) = 8 - v**q - 3 - 5. Let t(i) = 11*i**2. Give t(m(d)).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*o - 68, -2*o + 63 = 2*p - 61. Let l be (54\/p)\/(9\/14). Factor l*w + 4\/3*w**2 + 1\/3*w**3 + 0.\nAnswer: w*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 7, p: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 429. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -23.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j - 90 = -330. Solve -2*a + j = 0, -3*y - 23 = 3*a - 5*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 5*z**5\/21 - 10*z**4\/21 + 8*z**3\/21 - 4*z**2. Factor g(f).\nAnswer: 4*(5*f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 30. Let a be (7\/14)\/(1\/f). Calculate the common denominator of a*4*(-36)\/128 and 1\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.057165831 + -1377457\nAnswer: -1377457.057165831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -291*r**5 + 2364*r**5 + 850*r**5 + (3*r - 2*r + 0*r)*(0*r**4 - r**4 + 2*r**4).\nAnswer: 2924*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 + 57.408. Let y = l - 0.4. Round y to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/79 (b) 126 (c) -18.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 13?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u + 960 = 22*u - 49*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-38)*(-11305)\/510.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 2*v - 1. Let j be q(-2). Which is bigger: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/2052841 + 4099523003\/486523317. Let f = r - 3\/316. Calculate the common denominator of f and 47\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)\/u*u**(2\/13))**(-4\/11) assuming u is positive.\nAnswer: u**(56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -33. Calculate the smallest common multiple of z and 2 - (-6 - (2 + -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 11 = 41. Solve 0 = -5*b - 5*m + 10, u*b + 4*m + 0*m - 5 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z + 2*z = 4, 2 = 2*t + 5*z. Find the common denominator of ((-54735)\/20)\/(-89) + -17 and t\/5*(-74)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -117, -121, -125, -123, -109, -77?\n\"Answer: d**3 - 6*d**2 + 7*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from iikkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 3*a**2 - 3*a - 3. Let i be s(-3). Let u(z) = -3*z**3 + 10*z**2 + 22*z + 2. Let t be u(-2). Let r = t - i. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/63*-6*42\/(-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4845665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -3.83?\nAnswer: -3.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 118*r**2 + 78*r - 207. Is x(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(5 - 36\/6). Let d(q) = -q. Let m(s) = 7*s - 2. Determine r*m(n) - 5*d(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.172298 * 22.\nAnswer: -3.790556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90674 is divided by 167.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 133*o**3 - 2451*o**2 - 10967*o + 13552 = 0. What is o?\nAnswer: -112, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487737, -486318, -484899, -483480?\nAnswer: -482061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 164. Suppose -5*t = 7 - h. Let r(f) = -8*f - f - 3*f**2 - 7 + 2*f. Let d(o) = 2*o**2 + 4*o + 4. What is t*r(v) + 5*d(v)?\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 5*m, o + 4*o = -10. Factor -1\/5*t**4 + 0*t - 1\/5*t**3 + m*t**2 + 0.\nAnswer: -t**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*d - 3*u, -3*d + u + 21 = -2*u. Let f be d - 6 - 18\/(-1). Let r be 2\/(-5) + f\/40. Solve p = -r*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92253226 - 10\nAnswer: -92253236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(7\/4)*((g*g**(-4\/15)\/g*g*g*g)\/g)\/g)**(-8\/17))**3 assuming g is positive.\nAnswer: g**(-298\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339860?\nAnswer: 2, 5, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*h**3 - 92*h**3 + 191*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932643.4nm to millimeters.\nAnswer: 0.9326434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(539\/105*(-108)\/252)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413868347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000011100010001010 + -1010?\nAnswer: -110111000011100010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f**2. Let h(b) = -3*b**2 - 226*b. Calculate h(o(g)).\nAnswer: -588*g**4 + 3164*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -1, 2\/17, 0.06, 3, 2\/479 in descending order.\nAnswer: 3, 2\/17, 0.06, 2\/479, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9357404.65 rounded to the nearest one hundred thousand?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_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: Round -0.0008149 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2315*i - 1629. Let m(x) = -1161*x + 815. Let d(b) = -2*a(b) - 5*m(b). Find the first derivative of d(s) wrt s.\nAnswer: 1175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**3 - 3*w**3 - 4*w + 3*w - 1 + 3*w - w**2. Suppose 6*p = 2*p + 12, 2*p - 4 = 2*f. Let y be r(f). Put 1, 5, y in descending order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2397)\/282 - (-13)\/((-52)\/(-40)))*(-6)\/33?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let k(q) be the third derivative of -5*q**5\/12 + q**2 - 25. Determine l(k(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0678555538 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 9, e: 2}. What is prob of sequence be?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 1, s: 2, n: 1}. What is prob of sequence tt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -319 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -134100 (base 6) to base 14\nAnswer: -4816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*p = -272*p + 640 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 o when three letters picked without replacement from {i: 1, o: 2, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10439, -9971, -9235, -8267, -7103?\nAnswer: -5779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-9) - (-4)\/(-12). Factor 4*t**2 + 2*t**2 + 2*t - 2*t**2 - 5*t**a.\nAnswer: -t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 158*x**3 - 5*x**2 + 96*x + 194. Calculate w(-2).\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 5*m + 1. Let w be z(-5). Suppose -3*p - p = 0. Suppose p*y - 4*y + 8 = 0. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 2. Let n be h(3). Suppose z = n + 4. Suppose c = 2*u + 86, 460 = z*c + 4*u + u. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-31))**(-22) assuming j is positive.\nAnswer: j**(1364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*w**3 + 3*w**2 + 1146*w**3 - 373*w**3 - 3*w**2 - 380*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/1129 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 1. Let s be y(-4). Let l = s - 5. Let z(b) be the second derivative of b**4\/12 + b**3\/6 - 5*b**2\/2 - b. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 1 - -3 - 56000007. What is f rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r + 1. Let n(y) = -4*y**2 - 4*y + 2. Give -2*n(c) + 7*t(c).\nAnswer: c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-120)*(-1)\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1457 or 1371?\nAnswer: 1457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.92 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 - -3. Which is bigger: 3\/2 or f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 84 = x. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17 - -2 - (3 + 0). Let k(y) = 19*y. Let t be (-8)\/6*(-3)\/2. Let n(i) = 2*i. Calculate f*n(s) + t*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -68, -119, -208, -347, -548?\n\"Answer: -2*r**3 - r**2 - 8*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*h + 10, -3*b + 44 = -5*h + 18. Suppose 5*l = -4*x + 6*x - 26, -b*x - 2*l - 2 = 0. Solve x*q - 2*j + 11 = 0, 0 = 2*q + j + 3 + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 o, and 1 v when four letters picked without replacement from aavvvvllvvccvvolvaa.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-131)\/(9170\/(-120)))\/((-5)\/((-210)\/8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 2, s: 11}. Give prob of sequence ts.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2*(-2 - -1). Let r(l) = -4*l**2 - 11 + 29 - 27 + 3*l**2 - l**3. Give r(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11714354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1 + (-13)\/(-78) + 152\/(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = 8*i - 137. Let g = i + -88. Solve -d - 2 + g = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -212100?\nAnswer: -212031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z + 24. Let o be k(-6). Find the third derivative of 182*l**o - 59*l**2 - 32*l**2 - 109*l**2 - 4*l**6 wrt l.\nAnswer: 21360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*x = -483*x + 3916. Suppose 25*m + x = 26*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 95819 in decreasing order.\nAnswer: 95819, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 30 + -6 + -8 + -1 + -13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q. Suppose q = 2*v + v + 3. Let m = 0 - -1. Put v, m, 3 in decreasing order.\nAnswer: 3, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.892 * -945\nAnswer: -4622.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95.04302 tonnes?\nAnswer: 95043.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-6*-2*30*30\/(-1500).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 9*p - 8. Let r be a(5). Suppose 4*j + 2*q - r = 5*q, -12 = -4*j - 3*q. Let n be 6*(0 - (1 - 2)). Solve -b = -j*b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91507 != 91159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = -60. Let u = -1937 + 1983. What is the remainder when u is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2809597\/640 - 4390. Is z greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1 - -2) + 19. Let b = 14 - y. Is 10 a factor of ((-2)\/b)\/(6\/636)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 702 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = x - 5*x. Let o = 10 + x. Suppose 0*y - o*y + 44 = 0. Solve -8*n + y = f - 5*n, 0 = -3*f + n + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -3\/2, 11, 2.9, -109?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 5. Suppose f + 1 = j - v*j, 0 = -j + 5*f - 28. Let n(t) = 11*t**2 + 7*t + 12. List the prime factors of n(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 - 4*f + 7. Let o be d(-5). Let m be (-7 + 12)*o\/(-5). Is m less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6631*q - 33131. Let z be v(-5). Let w(f) = -4*f**2 - 2*f - 1. Let c be w(-1). Put -2, 13, z, c in decreasing order.\nAnswer: 13, z, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 - 5*q - 2. Suppose -2 + 22 = 10*t. What is the least common multiple of k(-3) and (4 + t)*(-8)\/(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s. Let n(j) = 7*j. Let z(w) = -5*g(w) - 6*n(w). Let a(l) = l + 3. Let c(d) = 7 - 2 + 0*d + 3*d. Let f(k) = 5*a(k) - 3*c(k). What is z(f(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*g - 6*q - 4, 5*q = -2*g + 4. Let j(p) = p**3 + 6*p**2 + 10*p + 7. Let h be j(g). Solve -3*n - 9 = -2*v, 0 = -3*n - 3*v - 28 + h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-375)\/(-100)*(-4)\/(-3). Let d(z) = 18*z**2 - 11*z + 37. Is d(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4166 + 4110. Which is smaller: k or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5\/10 - b**4\/10 - 3*b**3\/10 + b**2\/2 - b\/5 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225.95 - -4.05. Let p = -234.87 + z. Let t = 0.13 - p. Sort -1, 3, t in decreasing order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -534\/263867 + -73046008907\/14248818. Let m = x - -15373\/3. What is the common denominator of -14\/9 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18097, 16494, 14889, 13282?\n\"Answer: -v**2 - 1600*v + 19698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - j + 407*j + 42*j - 20*j + 0 + 0 - 2*j + (4*j + j - 4*j)*(-1 + 3 - 3) - 3*j + 4*j + j - j + 4*j - 4*j + j + 5 - 5 as u*j + m and give u.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1 - -5) + (108 - -501)*2\/18?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5033608, 5033607, 5033606, 5033605?\n\"Answer: -q + 5033609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -5)*4\/6*-4. What is the second derivative of 0*p - 2*p - k*p**2 + 8*p wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-11 - (-5 + 1)) + 7 + -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395399 is divided by 2972.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 6*z\/5 - 864\/5.\nAnswer: 3*(z - 18)*(z + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462362179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**8\/6720 - q**7\/2520 - q**4\/6 + 2*q**2. Let l(u) be the second derivative of a(u). Factor l(p).\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:26 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(13) - (sqrt(13) + sqrt(91)\/(sqrt(14)\/sqrt(2)))**2) - (sqrt(13) + (sqrt(1300) - 1*sqrt(1300)) + -1) - (-6*2*sqrt(1300)*-3)**2*6.\nAnswer: -10108850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.05, 0.1, -23.\nAnswer: -23, -0.05, 0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9847 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = 3*v + 2*u, 0 = v - 5*u + 5. Suppose -v*r - r = 702. Let f = -60 - r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -0. Suppose -5*h - g*t = -64, 4*t + 40 = 4*h - 0*h. Is 16 a factor of 2\/(-8) - (-387)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 + 4*k**3 - 24*k**2 - 16*k + 32.\nAnswer: 4*(k - 2)*(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423550 + -3820882\/9. Let y = 989 + m. Find the common denominator of y and 9\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -58, 5.\nAnswer: -58, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 5*q + 30, 2174*x - 2170*x + 60 = -5*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 246*c**3 - 3321*c**2 - 5892*c - 2820.\nAnswer: 3*(c - 94)*(c + 1)**2*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1512211.\nAnswer: -4\/1512211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -2*c - 2*c, c - 2*a = 2. Is 4 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)*(v*((v**(2\/67)\/v)\/v)\/v)\/v)\/(v**(-4\/9)\/v**(-1\/12)) assuming v is positive.\nAnswer: v**(-24229\/12060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + 5*b + 7. Let i be j(5). Suppose 0*c - 4*c = -i. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26022b7 (base 13) to base 12.\nAnswer: 3b92756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 361*z**5\/20 + 11*z**4\/6 + 10*z + 23. What is the third derivative of q(r) wrt r?\nAnswer: 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158760 and 198?\nAnswer: 1746360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 9, -f = 5*n - 2*n - 47. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 54*t - 118. Is 3 a factor of s(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(242)*-1 - (-3 + sqrt(2) + -2*sqrt(2)))**2 + 4.\nAnswer: -54*sqrt(2) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 11*t + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4843*w - 2231 wrt w.\nAnswer: -4843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*l**3 - 466*l**2 + 683*l + 23?\nAnswer: -120*l - 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*g**2 + 11*g**2 - 3*g + 2*g + 88 + 14*g**2 - 137 to x*g**2 + m + i*g and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1 - 6*(sqrt(11) + -2))*-2 + ((sqrt(33) + sqrt(1188))*-4)\/sqrt(108))**2.\nAnswer: 608*sqrt(11) + 21068\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddzdzzdzzzd. Give prob of sequence dzdd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = o + 49820, -3*g + 29880 = -3*o. Suppose -7562 - g = -17*y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 6*z**2 + 23*z**2 + 2*z + (-2*z + 0*z + 3*z)*(0*z + 2*z + 0*z) to the form k*z**2 + c*z + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3771 (base 8) to base 11.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 379, 953, 1719, 2677, 3827, 5169?\n\"Answer: 96*g**2 + 286*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*q**3 + 17480434*g*q - 299*q**3 - q**2 + 1646*q - 9 wrt g.\nAnswer: q**3 + 17480434*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*j - 341*j + 5448 = 0. Suppose 5*c - j = 4*r + 3087, -3*r = 3. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(8\/28 + 26\/(-140)). Solve -3*m = -2*g - 15, -5*g - 4*m + z + 0 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1393 - 1361. Suppose p - 12 = -3*p. Suppose -n - 24 = -3*m, 4*n - 16 - 8 = -p*m. Calculate the lowest common multiple of t and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*h**3*l - 442*c**3*l + 2*c**3 - 4*c**2*l + 2*c*h**3 - 6 wrt l.\nAnswer: c**3*h**3 - 442*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6656.829 nanograms to kilograms.\nAnswer: 0.000000006656829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-354 + 354 + 47*l)*(2 + 2*l + 4*l - 5*l) + 5 - 5 + 2 - 3*l**2.\nAnswer: 44*l**2 + 94*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.076351+61353\nAnswer: 61352.923649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/15 - 6*z**2\/5 - 18*z\/5 - 18\/5.\nAnswer: -2*(z + 3)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.33 - 4.33. What is the third smallest value in -2\/3, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/((-118)\/(-120)) - 20) + 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/15 - 3)*205\/(-82).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.2687 litres to millilitres.\nAnswer: 804268.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 - 67*q**3 - 70*q**2 + 32*q**3 + 70*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -595 - -596. Sort -4, r, 2, -6 in ascending order.\nAnswer: -6, -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30 + -1 - (58\/(-6) + (-264)\/(-72)). What is the highest common factor of s and 6265?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - ((0 - -1) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.98 times 13?\nAnswer: 5251.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.258 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 2. Calculate g(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 7*b**2 - 9*b + 15. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2520?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 13*u - 9. Let g be v(-12). Suppose g*w + 5 = -19. Is 2 a factor of ((-1)\/2)\/(2\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593660 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3079?\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -55. Let k(f) = 3*f**2 + f**2 + 16*f - 8 + 24. Let v(l) = -l**2 - 5*l - 5. Give g*k(m) + 10*v(m).\nAnswer: 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*10\/(60\/18). Let m be g\/((-2)\/6*15\/20). Let o be 2 - -4*(-4)\/m. Solve -4*p = -4*c, -3*p + o*p = 5*c + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64, -167, -270, -373, -476?\n\"Answer: -103*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -2. Let p = -1 + 1.1. Let r = -0.1 + p. Sort -3, z, r in descending order.\nAnswer: z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 * -2.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4962 and 69\/3308?\nAnswer: 9924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - n = -20, 0 = -m - 4*n + 1292 - 1282 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14185 + 3092337\/218. Is -1 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 9 + 2 + 6. Give o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w**2 + 2*w**3 + 20 - 38*w + 15*w**2 + 5*w**2 + 9*w**2 = 0. Calculate w.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 10*g + 0*g)*(-g**2 - g**3 + g**2) + 2*g**4 - g**4 + 0*g**4 - 8*g**4 + 9*g**4 + g**2 - 3*g**2.\nAnswer: -8*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 137. Which is the nearest to -16? (a) 3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 858091387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 297143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -g - 3*l, 0 = 141*l - 138*l + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51590953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {c: 1, n: 1, b: 2, m: 1, s: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6924*t - 29015 = -6931*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174011*l**2 + 403*l + 15.\nAnswer: 348022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v. Suppose v = 5*p + 3*c - 78, -21 = -3*p - 4*c + 28. Calculate the remainder when 3*9 + (1 - 0) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1011341 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3377, -0.4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (8 - 3) - (0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60*(-8)\/36)\/((-14)\/(-63)). Let f = o - -63. Let g be 1 - 1 - 0 - 0. Solve -2*q + 3*q - f = g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159ea8 (base 15) to base 4.\nAnswer: -3333122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)*m)\/((((m*m**(-3\/13)\/m)\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(255\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 35*d + 276. Let b be q(35). Calculate the greatest common factor of b and 1173.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 602.\nAnswer: 3\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1456 and 233\/4591860.\nAnswer: 18367440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 0*l**2 - l**2 - 22*l + 2 + 20*l to the form v*l**3 + g*l + a*l**2 + x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 289, 272, 245, 208?\n\"Answer: -5*n**2 - 2*n + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3868, -7462, -11006, -14476, -17848?\n\"Answer: 4*u**3 + u**2 - 3625*u - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 75*z**2 + 69*z - 399. Give w(-74).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -26\/7, 5, -1\/4, -3 in increasing order.\nAnswer: -26\/7, -3, -1\/4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99832 and 9448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 6*w - 6. Let m be u(-4). Suppose m*s - 4 = -2*i + 12, 10 = 2*i. Factor s*d**3 + 16*d**2 + 10 + 6*d**3 + 2 + 33*d + 14*d**2.\nAnswer: 3*(d + 1)**2*(3*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*p**3 - 1\/2*p**4 - 60552 - 59856*p - 14444*p**2.\nAnswer: -(p - 174)**2*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 32247*w - 225684. What is z(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -502?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 4*h - 28, -4*h + 0*h + 4*s = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 15, -35 - 19 = -5*u + 3*i. Find the first derivative of u*a**2 - 7*a**2 + 0 - 3 wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 5. Let r(b) = 4*b + 3. Let m = 6 + -9. Let j be r(m). Let g be t(j). Solve 0 = -0*d - g*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 1\/4, 6869, 0, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 33693?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3*a - a + 7*n = -0*a - 34, -4*n - 4 = -10*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12045.2 + 12045. What is the nearest to f in -1\/54, -0.5, 4?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k\/(k*k\/((k\/(k*k\/(k**(-2\/7)\/k)))\/k)))*k)**(3\/37)\/(k**2\/k**(-1\/8)) assuming k is positive.\nAnswer: k**(-2843\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1854\/4*(-8)\/12. Let u = -92 - i. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267808 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 30. Let i = x - 8. Suppose a - 12 = -i. Solve -4*q - a*b = -7*q + 9, 5*q + b - 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/19, 0, 64, -0.6, -7\/8, 5, 2?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177\/4 - 44. Let o = -17 + 17.4. Which is the second biggest value? (a) 3 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-t + 25 + 13 - 35).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173 + 593?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Is (-1)\/((-291)\/144 + l) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 38. Suppose 5*n - 8*n - y*o + 34 = 0, 3*n + o - 31 = 0. Solve 2*l + 11 = -l + 5*w, 2*l = 4*w - n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26969 or 26922?\nAnswer: 26922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2052 (base 9) to base 16\nAnswer: 5e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9*o + 6*o - o**4 + o**2 - 5 to c + f*o**2 + t*o**3 + u*o**4 + d*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 2 - 5 - 72*u - 2*u**2 + 46*u to x*u + n + r*u**2 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 34*u + 84)*(2*u**4 + u**4 - 2*u**4) - 5*u**5 + u**5 + 2*u**5.\nAnswer: 32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) -0.3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 87163 times 69\nAnswer: 6014247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 2911?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 8*u + 695. Give m(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 21 = -2*f. Suppose -7*b - 13 = 1. Calculate the least common multiple of (0 - b\/4)\/(7\/140) and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -122, -883, -2950, -6977, -13618, -23527, -37358, -55765?\n\"Answer: -109*q**3 + q**2 - q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -153 + 161 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 5*o + 30. Let c(b) = 7*b**2 + b - 11. Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*i + 31*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*n + 10*n**3 + 0*n**3 - 29*n**3 + 10*n**3 - 16*n in the form k*n**2 + p + x*n + a*n**3 and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 11*k + 18. What is the remainder when r(-10) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 2*x**2 - x - 2. Suppose -2*r = 2*r - 12. What is the remainder when i(r) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = -i + 9, -g + 3 = 0. Suppose 23 = -i*u + 233. Solve 4*h - u = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (5 - 76))*1. Let l = -51 - q. What is the remainder when 51 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/8)\/((-1)\/(-4)). Let h be 3\/(-6)*(u - -3). Let w(y) = y**2 + 2*y - 2. Let d be w(-3). Sort -2, h, d in descending order.\nAnswer: d, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 67 + -87 - -44?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*o**3\/4 - 1520043*o**2\/4 + 6734502*o - 29828479 = 0. Calculate o.\nAnswer: -31039, 62\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdqd. What is prob of picking 1 r, 1 q, and 1 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and (-196)\/(-6) - (-9)\/(-189)*-7?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-14))\/((34\/4046)\/(20\/1020))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4500))\/sqrt(9).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 115. Let x = 19273 + -19273. Is x at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:40 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (850\/493)\/25*-1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 - 4*b**2)*(17664 + 149*b - 17664) + 3*b**3 + 2*b**3 + 0*b**3.\nAnswer: -889*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrr. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/2)*d*d)*d)**(1\/59)\/(d\/d**6*d*d**(2\/3)) assuming d is positive.\nAnswer: d**(1183\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let c(f) = 166*f + 1. Give c(g(m)).\nAnswer: -332*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 1. Let c = 32 - 9. Suppose 0*o - o = -2*j - 8, o = 5*j + c. Calculate l(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177152922*x**2 + 432*x - 28356 wrt x?\nAnswer: -354305844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 - 34*g**4 - 177*g**3 - 252*g**2 = 0. Calculate g.\nAnswer: -28, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*n**3 + 37*n**3 + 47*n**3 - 179 + 36 - 9 wrt n.\nAnswer: 381*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 90. Let v = 97 + p. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40395 (base 11) to base 9.\nAnswer: 88870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -111 (b) 1\/7 (c) -11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451160747 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by ((1890\/(-33))\/(-7))\/((-6)\/(-44))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**2 + 2*s**2 + s**2 + (-12*s + 12*s + s + 160*s**2)*(0 + 1 - 3).\nAnswer: -324*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 46, 233 in decreasing order.\nAnswer: 233, 46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = -5*h. Let g be 3164\/8 - h\/(-4). Suppose -27*r + g = -21*r. Calculate the highest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**2 - 20*z - 464. Determine f(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Let r = 26 + -79\/3. Which is the third smallest value? (a) g (b) -0.02 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 81*o**2 + 421*o - 5. Give r(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y - 12. Let i(u) = -13*u + 12. Suppose 4*r - 5*k = 23, r - k - 4 = 1. Let l(p) = r*x(p) + 3*i(p). Is l(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4) - (-8)\/((-224)\/35). Let s be (-5)\/2*(-6)\/(j - -5). Let q be (-4 - (-15)\/s)\/(-1). Which is smaller: q or 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -6*y**5\/25 + 21*y**4\/5 - 96*y**3\/5 - 42*y**2\/5 + 294*y\/5 - 341. What is n in k(n) = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173 - -177. Solve -3*l - 26 = 4*b + 2*l, f*b = l - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 7*h + 2. Let u be m(6). Let o(d) = d**3 + 5*d**2 + 4*d + 2. Let j be o(u). Suppose -3*s - j*s + 385 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -81331?\nAnswer: 81346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*s = 23, -2*o - 3*s + 21 = o. Suppose 3*f = o*f. What is the units digit of 1 - (-2 + (f - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Suppose 36*a = 70*a. Let q(x) be the first derivative of -4 + a*x - 1\/2*x**2. Give k(q(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127226686.\nAnswer: 2, 3, 13, 367, 74311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 0, -m = -3*u - 5*m - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/(-33))\/((-14)\/(-63)). What is the nearest to -4\/7 in 0.4, -1\/4, a, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11 - 330*o - 321*o + 967*o + 8*o**2 - 324*o. Let g(w) = 7*w**2 - 7*w + 10. Give -5*a(b) + 6*g(b).\nAnswer: 2*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 2 i when four letters picked without replacement from szesseissizzesssz.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150*b = 56338 + 68362 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (2 - 7) + (-21 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 40*x - 11 + 4 + 3*x. Let s be f(1). What is the greatest common divisor of 54 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -821?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 11*g = -198475 - 30077. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674932512 divided by -121917?\nAnswer: -5536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 + -158. Suppose -n = -3*i - i + 4*h, 4*h - 16 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 15. Let f be ((-3)\/(-1))\/((-71)\/(-142)) - 21. Let x(l) = -4 + 0*l + 0*l - 3*l + 4*l. Calculate f*x(q) + 4*b(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4, -6, 9 in descending order.\nAnswer: 9, 5, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 200. Solve -4*m = -l*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let r = 11 - 13. Let v(i) = -4*i. Let s(f) = -f. Let y(j) = r*v(j) + 9*s(j). Give y(n(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 9*x**2 - 11*x - 6. Let d be c(-10). Let u = 1 + 1. Let v = -1 + 1.2. What is the smallest value in d, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:24 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.057, -1\/6, 15312, 3\/4?\nAnswer: 15312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 58. Let q be l(-14). Suppose 0 = 8*r - 4*r - q, a - 18 = -4*r. Solve 2*p - 3*p + s = -5, -a*p - s = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*i - 75, -5*o + o + 48 = 4*i. Let m(d) = 12*d**2 + d - 1. Let p be m(-2). What is the greatest common factor of p and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 113*m**2 + 4*m - 7. Let g(u) = -76*u**2 - 3*u + 5. Determine 7*g(z) + 5*r(z).\nAnswer: 33*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 + -119 - (6 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.161 - -22.5. Let b = p - 0.139. Put b, 0.01, -0.2 in decreasing order.\nAnswer: b, 0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 292 + -269. Let u be ((-7)\/3 - -1)*-3. Suppose -2*j - 3 = -g + 5, 46 = u*g - j. Calculate the remainder when m is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqjj. What is prob of picking 1 q and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -3. Suppose 71 = d*v + 8. Let x be (-2)\/v + 282\/54. Solve 0*g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1525 + 0.3475. Which is the nearest to -6? (a) 0.4 (b) -2\/9 (c) 4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2302238 - 2?\nAnswer: 2302236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6 = 3*s, -2 = 249*s - 252*s - 5*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100850369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmp when three letters picked without replacement from {c: 4, i: 2, p: 1, m: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -816299, -1632623, -2448945, -3265265?\n\"Answer: i**2 - 816327*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2213131 (base 6) to base 3\nAnswer: -12122002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 742, 4, 23 in descending order.\nAnswer: 742, 23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28466, -56958, -85480, -114038, -142638, -171286?\nAnswer: -199988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggfgggff?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3911688 and 77.\nAnswer: 27381816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 65 - 190. Suppose k + 125*l - 61 = 124*l, -4*k - 5*l + 254 = 0. What is the remainder when k is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -7.07. Let m = -3 + 12. Let o = m - w. Sort 0.3, o, 0.1 in ascending order.\nAnswer: 0.1, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 526.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 33001*i\/2 - 445392.\nAnswer: -(i + 27)*(i + 98976)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/3, 1075, 2\/5, -3, -2, 0.5 in increasing order.\nAnswer: -19\/3, -3, -2, 2\/5, 0.5, 1075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*3 + (4 + -3 - 0). Suppose -b*c + 16219 = -0*c. Is c 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 appzctza. What is prob of picking 2 z and 1 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 + 428*v - 22898 = 0.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4271\/8 - 535. Find the common denominator of y and (-346)\/60 - 6\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 14. Let j be 4 + ((-12)\/i + -3)*0. Suppose 7432 = 3*y - 3*s + s, 4*y - 9936 = -j*s. Round y to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162700201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59\/18 + -7\/2. What is the closest to -2 in 5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.08 * -0.11\nAnswer: 1.5488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308\/(-77)*(-1)\/((-16)\/84).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(112)*2 + ((1 + sqrt(112))*6)**2.\nAnswer: 296*sqrt(7) + 4064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242531 + 2114?\nAnswer: 245045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*d - 486, 0 = d - 0 - 2. Suppose -2*b = -378 + y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 25, 36, 65, 118, 201, 320?\n\"Answer: u**3 - 8*u + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(7\/4))**13)**(-20\/9) assuming z is positive.\nAnswer: z**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 11:16 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/5 - (-6)\/(-30). Suppose o*d + 0 = 6. Let -2*s**d + 5*s**2 - 8 - 4 = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10871*s = 10870*s + 416567. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -13. Suppose 2 - i = -x. Let y(t) = -1200*t. Let a be y(x). What is a rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 757908 and 2664.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let l(n) = n + 222. What is l(o(m))?\nAnswer: m + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 16. Let w be ((-8)\/(-6))\/(d\/9). Let o = -5 + w. Sort -4, o, 0 in descending order.\nAnswer: 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 837652966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:49 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9588213um in nanometers?\nAnswer: 958.8213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.6 (c) 2 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x - 1. Let s(m) = 40*m + 3. What is -7*c(b) - 2*s(b)?\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:57 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 - -1 - (-904)\/(-48) and 81\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)*l*l*l**(-1\/2))\/(l**0\/l**(-1)))**35 assuming l is positive.\nAnswer: l**(-455\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/6)*f**(1\/6)*(f\/(f\/((f*f**(-1)*f)\/f)))**5 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3a215a (base 15) to base 8\nAnswer: -12514013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30)*-15)\/((-3)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a. Let x = a + 3. Suppose 2*h + x*h = 135. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384 is divided by 395?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142566, -285131, -427696, -570261?\n\"Answer: -142565*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r + 248*r - 30*r - 36*r - 46*r - 51*r - 43*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/3)\/c**(-21) assuming c is positive.\nAnswer: c**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-2)*(-16)\/(-4). Let h = -23 + l. Suppose -3*r + h = 5. Solve -r*b + 5 = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(6\/24*-2). Put -13, 3, -2, c in decreasing order.\nAnswer: 3, -2, c, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -19 + -2*(-1122507)\/63 + 2\/(-14).\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 9*q + 1. Let k be p(8). Suppose k = -4*f - 3. List the prime factors of (-15)\/f*112\/10.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2067882 and 642?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -301.826205 to 1 dp.\nAnswer: -301.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 29*z + 92. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096*b + 7552004 = 5*c - 1098*b, -3*c = -2*b - 4531204. What is c rounded to the nearest ten thousand?\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 3. Let r be i(0). Let l(c) = -2*c - r*c - 1 + 3*c - 3. What is the smallest common multiple of l(-6) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) + (2*sqrt(13))**2 + 1) - sqrt(39)\/sqrt(3)*-3.\nAnswer: -53 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooocoooooocooco. What is prob of sequence oo?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14302 (base 5) to base 6.\nAnswer: -5322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20150043*x**2 + 1530659009*x.\nAnswer: -40300086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = -4*i, 5 = 2*i - 5*f - 7. What is the remainder when 89 is divided by i\/(-3) - 184\/(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126718666?\nAnswer: 2, 3, 17, 772229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2\/3*b**3 + b**2 - 2*b - 1\/2*b**4 - 1. Let a(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214203119 and 9771?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 1. Let n(k) = -5*k**2 - 9*k - 1. Let w(x) = -n(x) - 6*z(x). Let i = -915 + 923. Calculate w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.68801241 less than -26814?\nAnswer: -26842.68801241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7539*u**2 - 7536*u**2 - 7532*u**2 + 30085*u**2 - 7477*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -83\/13 (b) 11 (c) -1\/28 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5123444 (base 6) to base 2.\nAnswer: -111011101011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(512) + (sqrt(512)*4 + sqrt(512) - sqrt(512)) - sqrt(8)) + ((sqrt(1100) + -3)*1 - sqrt(1100))**2.\nAnswer: sqrt(11)\/39 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33160, 131071, 294260, 522727?\nAnswer: 816472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 9. Let r(f) = -8*f + 27. What is -11*n(m) - 4*r(m)?\nAnswer: -m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72248*o**2 - 27777 wrt o?\nAnswer: -144496*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 55 - 27 + 188*r - 4*r + r + 5*r + (2 + 1 - 1)*(r + 3 - 3) - 1 + 2*r + 1.\nAnswer: 194*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 6*t + 3. Let y be u(5). Let k be y\/(-4)*-1*-62. Suppose 4*r - k = 2*d - 5*d, -4*d = r + 2. What is the remainder when 18 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 158 = -245. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08492182 to three dps.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -3, 267 in ascending order.\nAnswer: -5, -3, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 698960423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*f**2 - 112 + 112)*(-2*f + 2*f - 2*f)*(2 + 1 - 2).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - s**2 - 2*s + 1. Let i(r) = -7*r**3 + 5*r**2 + 117*r - 722. Let q(f) = 5*a(f) + i(f). What is the first derivative of q(n) wrt n?\nAnswer: 9*n**2 + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.74*-1936830.\nAnswer: -3370084.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:51 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 + x**2 + x - 1. Let t(z) = z**2 - 5*z - 5. Let f be t(6). Let p be a(f). What is the second biggest value in 1\/3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -7) + (2 - 14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-1 + -2)*-1. Let o be ((-6)\/5)\/((-12)\/40). Suppose o*c - 5 = 3*i - 7, 3*i - 38 = -5*c. What is the highest common factor of s and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4204177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + c**3 - 3*c**3 + 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366056472*t - 732112941*t + 134 + 366056470*t.\nAnswer: t + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 90\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 605 = -4*q + 949, q - 378 = -5*d. Let p = 1116 - q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thzsvzh. What is prob of sequence hh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 6*t + 11. Let i be q(2). List the prime factors of (144\/(-10))\/(57\/i - 4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 144 + 40. Let k = 247 - q. Let u = k + 499. What is u rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*y - 2 + 36, 0 = -y + 3*g + 6. Calculate the greatest common divisor of 126 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4410796244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1698 and -14\/2547.\nAnswer: 5094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0\/3)\/(-2))\/(-2). Let j = -1 + 6. Suppose y - 29 = -3*r, v*y = r - j*y + 1. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 30*f + 1069. Give h(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d + 52*d - 10 = 0. Let c(i) = -9*i - 3. Let n be c(-2). Suppose -d*h - 125 = -n*h. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 30 = 0. Let p be (-24)\/z + (-2)\/5. What is the nearest to 0 in -1\/8, -0.4, p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 279, 313, 349, 387, 427, 469, 513?\n\"Answer: l**2 + 31*l + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2334054 - 1656127. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 30\/9)*-3. Let o = w + -3. Let i(x) = 5*x + 6. Give i(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m - 3. Let d be n(-2). Let k = d + -9. Factor -2*y - 3*y - 4*y**4 + y**k + 5*y.\nAnswer: -y**2*(2*y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264939168 and 3096?\nAnswer: 794817504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((-6)\/4 + -1). Let r(i) = i**2 - 13*i + 40. Let x be r(8). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 359 + -1 + (-4)\/(-2). Find the common denominator of j\/32 - (2 + 0) and -19\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-1)*(-58)\/((-145)\/5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -30. Find x such that 2*x**3 + 1 - 3 + 2 - 6*x**2 + b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239070 and 396845.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a = -12739 + 2943. Let y(o) = 4*o**2 - 6*o + 2. Let m be y(4). Calculate the remainder when a\/7 - (-18)\/m is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/5 + 48*d\/5 - 46\/5 = 0. Calculate d.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -910016, -910019, -910024, -910031?\n\"Answer: -b**2 - 910015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 + 2*r**2)*(14 - 1 - 2) + (8 + 9*r - 8)*(-r + r + 2*r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/24 + 8*s**3\/3 - 64*s**2 - 23*s + 51. Let j(g) be the first derivative of y(g). Factor j(d).\nAnswer: -(d - 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 4*x - 2*x + (1 + 0 - 2)*(0*x + 8*x - 3*x) - 4*x + 3 + 3*x + 2*x to the form s*x + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/2 + 51235*m**2\/2 - 42361755*m.\nAnswer: -5*m*(m - 8174)*(m - 2073)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1590?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 30, 76, 160, 294, 490?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 20 - 16)*(0*d - 3*d + 2*d)*(88 + 107 - 2*d - 91).\nAnswer: -36*d**2 + 1872*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -67*b - 172. Is h(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**2 + 63803 - 63803.\nAnswer: 29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 3*h - 4. Let z be t(4). Let g be (-1699)\/(-9) + (-16)\/z. Suppose -5*o + 51 = -g. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66413, -132821, -199229, -265637, -332045?\n\"Answer: -66408*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(19)*1)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1410491 divided by -1\nAnswer: -1410491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1055901.3 months?\nAnswer: 87991.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 9485304.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -87, 1, -26, -1\/2 in increasing order.\nAnswer: -87, -26, -4, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45781?\nAnswer: 17, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0*d**2 - 4*d**2 + 9*d**2 + 0*d**2. Let v(k) be the second derivative of -k**3 - 5*k. Determine b(v(g)).\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/12 + w**3\/6 - 3*w**2\/2 + 7*w. Give d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1665\/455 + 2640\/(-770)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134791*v**3 - 232 + 232.\nAnswer: -134791*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 985598632 to the power of 1\/2, to the nearest integer?\nAnswer: 31394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1910609 and 177273?\nAnswer: 17195481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2994 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**4 + 2051*h**3 + 2*h**2 - 8188*h - 8.\nAnswer: -60*h**2 + 12306*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8276.6 - 8403.666. Let w = -127 - g. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477634 (base 11) to base 10\nAnswer: 756771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + 5. Let p(c) = 9*c**2 + 10. Let o(g) = 6*p(g) - 11*x(g). Find the first derivative of o(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62238 and 14883.\nAnswer: 684618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 6600350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2\/3 - 6008*u + 7800740\/3 = 0.\nAnswer: 485, 4021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s - 14. Suppose 3*z - 3 = 0, z = -s*r - 0*z + 13. Suppose -r*y - 3*t = -14, 4*y - 5*t = -t. Solve -5*h + y*g + 0 = 2, 2*h = 5*g - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 5*i + 13, -z - 4*i = 0. Let s(g) = 8*g - 5*g - 8 - g**2 - 2*g + g**3. What are the prime factors of s(z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11231472.\nAnswer: 2, 3, 7, 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 72. What is the fourth biggest value in -5, -1, f, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 9) in base 6?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (37\/(-8))\/((-23)\/(-46)). Which is smaller: b or -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9717381, 9717382, 9717383, 9717384, 9717385?\nAnswer: 9717386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8065 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/sqrt(4) - sqrt(6) - (4*(sqrt(6) + sqrt(6)*-4) - sqrt(6)))\/(((sqrt(45)*-1)\/sqrt(5))\/(sqrt(3) - 1*sqrt(243))).\nAnswer: 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2938 + 20564\/7. What is the fourth smallest value in 8\/15, f, -0.5, 4, -5?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:50 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79829 or 4.2?\nAnswer: -79829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:33 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6883 is divided by 147?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*h - 64*h - 7*h + (2*h - 2*h - h)*(-1 - 8 + 2).\nAnswer: -175*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*l*v**3*w + 6419*l*w - 112*v**3*w - v**3 - 211*v**2*w with respect to l.\nAnswer: 8*v**3*w + 6419*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - -32. Let c = -39 + j. Let l(g) = 7*g - 20. Let f be l(5). What is the greatest common factor of c and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r + 10*r)*((4 - 2 + 1)*(1 + 2 - 5) + 4 - 4 + 1)*(-2 + 1 + 2).\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 471.\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*t + 13, -3 = -3*a - 0*t - 4*t. Let o(j) = -4 + a - 2*j - 1. Let x(c) = 6*c. Determine x(o(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83715, -167393, -251039, -334653?\nAnswer: -418235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.085, 1\/4, 289 in descending order.\nAnswer: 289, 3, 1\/4, -0.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 243*i**2 + 4378*i - 27. Determine t(-18).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-300)\/275*22\/(-3). Solve 19*g + m = 23*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 6118012311 - 6118012311.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c - 2015 + 2016 - 18*c + c**2 as p + w*c**2 + i*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82820688*h**6 + 4*h**3*j - 4*h**2*j - 2060570*h**2 + 16*h*j + h wrt h?\nAnswer: -9938482560*h**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/7)*b*b**(-2)\/b*(b*b\/b**(1\/6))\/b**7 assuming b is positive.\nAnswer: b**(-319\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 n when four letters picked without replacement from {v: 1, q: 2, k: 5, j: 1, n: 2, m: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 39*i + 18. Let a(d) = 11*d + 5. Let z(w) = 18*a(w) - 5*b(w). Let o = -9 + 17. Let g(r) = -19 + o + 11 + 2*r. Calculate g(z(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2836 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x + 3*x - 5*x - 8 + x. Let i be a(-7). Does 16 divide i\/6 - 97\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, w: 2, h: 1, i: 1, d: 3}. Give prob of sequence iw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -54 + (-106)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*u - 139*u = -231*u + 12600 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91\/2 of a century?\nAnswer: 54600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 1 - 3*n - 5*n + n. Suppose 5*i + 33 = -2. Let q be t(i). Solve -r = -3*r - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*a + 36, -3*a - a + 2*r = 50. Suppose 0 = 2*l + 7*l + l. Let v = l - a. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(5\/13)*n)**11*n**(-9)\/n*(n*n**(-2\/37)*n*n)\/n assuming n is positive.\nAnswer: n**(14034\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1911 - -1981. What is the smallest common multiple of 345 and b?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3167228.5601048 + -3166765.56. Let k = 463 - z. What is k rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*a - 5*u, 27 = 11*a - 18*a - 2*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0488, -5, -2, -0.05474 in ascending order.\nAnswer: -5, -2, -0.05474, 0.0488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 476 - 476.4. Which is the second biggest value? (a) -42 (b) v (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + d**4\/4 - d**3\/6 + 45*d**2. Suppose -5*s = 10 + 25. Calculate x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36882\/(-59421))\/(6\/(-638))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -4 (c) -0.4 (d) 567\/43 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-54)\/(-4))*-3)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 96.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*c = 0. Solve c = 19*o - 20*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162\/73 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1 - 1\/1. Let a be (-47 - 1)*v\/3. Suppose -4*r + 44 = -a. What is the greatest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - -1.1. Which is the biggest value? (a) -1\/3 (b) -3 (c) l (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 49 = -5*m. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-20))\/(d\/(d\/(d\/(d\/(d**(3\/11)\/d))*d))) assuming d is positive.\nAnswer: d**(-212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57\/62 + -44\/31. Is b smaller than -2\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 165*k - 51. What is m(7)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k**2. Let u(t) be the third derivative of t**5\/60 + t**4\/24 - 5*t**3\/3 + t**2. Let i be u(3). Let r(b) = 0*b + i*b + b - 2*b. Give r(h(m)).\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 2\/3*j**3 + 0*j + 29 - 1\/2*j**4 + 0*j**2. Let r(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 44 - 187)*(-3 + 2*m + 3)*(168 - 168 + 15*m).\nAnswer: -4650*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 142, 702, 0.5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 1\/3, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w + 143. What is the hundreds digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -3e85?\nAnswer: 3e8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1760295 - -0.1\nAnswer: -1760294.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (sqrt(2057) + -3))*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 104896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**4\/8 - 183*y**3\/8 + 255*y**2\/4 = 0. Calculate y.\nAnswer: 0, 10\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80\/3 + -79\/3. Let v(b) be the first derivative of -d*b**3 + 5 + 3\/2*b**2 + 0*b. Find the second derivative of v(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.421 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10924 is divided by 512.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11001*q**6 - 1 + 7689*q**6 + 384*q**2 + 337*q**2 wrt q?\nAnswer: -397440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.052 - 0.318. Let q = 1.23 - a. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -12*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-6) + 3)\/6. Suppose -d = -0*d + 12. Let j be d\/(-4)*2\/15. What is the nearest to 1 in j, -1\/2, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*j - 63*j + 86*j - 89*j.\nAnswer: -253*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 + (-1 - 0) - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**5 + p**4 - p**2 + p - 1. Let y(f) = 6*f**5 + 54*f**4 + 63*f**3 + 27*f**2 + 12*f - 6. Let h(s) = -6*x(s) + y(s). What is d in h(d) = 0?\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**7\/4620 + d**5\/220 - d**4\/66 - 7*d**3\/3 + 7. Let k(l) be the third derivative of q(l). Factor k(t).\nAnswer: -2*(t - 1)**2*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**3*w**3 + 353*t**3*w**2 - 6*t**3 - 865*t**2*w**2 + 79*t**2 - 2*t*w**3 wrt t?\nAnswer: -6*w**3 + 2118*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15248.900271681 - -15248.9. What is q rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*2)\/((sqrt(81)*1)\/sqrt(9))*-5.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8929901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 8) to base 11.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 793259381 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5616 is divided by 2664?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-23 - 1) - -74?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1599 and 17\/30627.\nAnswer: 398151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98990.73um in centimeters?\nAnswer: 9.899073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10232.7254 to the nearest one hundred.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 21\/2 (c) 1\/2 (d) -2 (e) -220 (f) 44 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(190) + (sqrt(190) - (sqrt(190) - 6*(sqrt(190)*-2 - sqrt(190)))))\/(sqrt(70)\/sqrt(112)))*-2*6.\nAnswer: 24 + 816*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 - 370 - 496 = -41*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzhh. Give prob of sequence zzz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*o**5 - 1475*o**4 - 11*o + 5233?\nAnswer: 2900*o**3 - 17700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35.067 * -0.14\nAnswer: -4.90938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 993966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.81694 litres to millilitres.\nAnswer: 73816.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15040907 divided by 259.\nAnswer: -58073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 - 7 - (1345 + -1386)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 1, t: 2, o: 2, w: 1}. What is prob of sequence ao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*x - 1. Let q be 12\/(-16)*(-7 + x). Suppose 11*c = 6*c - 4*g - q, -5*c + 9 = -2*g. Let b(h) = -h**3 - h + 1. Determine b(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 60934096707*a + 60934096707*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497 divided by 17297.\nAnswer: -71\/2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7850437 and 7336?\nAnswer: 62803496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2614920*m**2 - 8580*m + 1430. Let x(p) = 5482*p**2 - 18*p + 3. Give -6*t(s) + 2860*x(s).\nAnswer: -11000*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118477 = 3*l + 4*d - 28800, 5*l - 245447 = -3*d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/9133959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d + 1. Let w(k) = 12*k - 1. Let z(g) = -t(g) - w(g). Let o(a) = -669*a**2. Give o(z(s)).\nAnswer: -669*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/528904 and -37\/66113?\nAnswer: 528904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 111000110000100011001000?\nAnswer: -111000110000100011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1197 greater than -1198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 79. Let z be h(25). Suppose 4*a - z*y = 2680, -2*y + 1478 + 1893 = 5*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*x + 22 = -0*x, 3*y = -5*x + 7 + 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v - 3*o - 73, v + 4*o = 33. Let k = 129 + v. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6630 divided by 117?\nAnswer: -170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 21*a - 32. Let i be x(-19). Let l be 15\/(-10)*(-40)\/i. Suppose w - 2*z + 7 = -8, z = -3*w - 10. Put w, l, 1 in descending order.\nAnswer: l, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -17. Let k = y - -10. Suppose -5*n + 5 = q, 2*n + k*q = 4*q + 9. Solve -4*s + s + 5*b = -20, -s + 3 = n*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a = 386*a + 4326 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88140 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/8653722 and 85\/21.\nAnswer: 8653722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9648 and 288.\nAnswer: 19296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142784, -142745, -142704, -142661, -142616, -142569, -142520?\nAnswer: -142469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-8)*-1*(-5)\/(-45)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7457536165 + 3.31?\nAnswer: 2.5642463835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/(-592))\/((-6)\/(-40)*-3).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 31103, 4, 2\/11, 3\/4, -5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24809398 - 9*t + 12404621 + 12404777.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52255914 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, 322, 1048, 2460, 4786, 8254?\n\"Answer: 38*o**3 + o**2 - o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -478 divided by -14\nAnswer: 239\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*w - 192 = -807*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/6*w**4 + 0*w**3 + 0 + 3*w**2 + 0*w**7 + 0*w**6 + 1\/168*w**8 + 0*w**5 + 0*w. What is the second derivative of f(o) wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3557634 - 24?\nAnswer: 3557610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*t - 50 = 138*t + 4*g, 0 = 5*t + 5*g + 40 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 3*v - 3*v + 18. Let z be b(-14). Calculate the common denominator of -43 and (-2)\/z - (-555)\/450.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247 - -246.999999826. What is d rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105.3 times 1\nAnswer: -105.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.021 and 0.42.\nAnswer: -0.00882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -0.2446?\nAnswer: -0.2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:24 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/(-42) + 2\/(-3) + -150. What is a rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 24 - 8 - 68?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 8*k**2 + 11 + ((2*k - 4*k + k)*(2*k + 2*k - 3*k) + 60*k**2 - 36 + 36)*(-2 + 5 - 1) as g*k + r + a*k**2 and give a.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.55381 millilitres to litres.\nAnswer: 0.09155381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {a: 4, p: 3, i: 1, l: 2, j: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 - 3746*m**2 + 6118.\nAnswer: -6*m**2 - 7492*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1061 + -1003.1. Let o = v + -55. Let g = -3.3 + o. What is the smallest value in -0.3, 1\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i - 183 = 0. Let r = i + -45. Calculate the remainder when 30 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 24. Let d be l(-18). Is d at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**10)*h)\/h**(-1\/16) assuming h is positive.\nAnswer: h**(-143\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**2 + m - 28. Is l(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 2:28 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3 - s - 1 + 2*s. Determine y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*d + 3*d = -12, -5*o = d - 20. Let m = 5 - 2. Suppose -a - m*s = -o*a - 6600009, -6599997 = 3*a + s. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 1. Calculate the least common multiple of b(3) and (-1)\/5 + 234\/45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -360*a - 68. Let t(i) = -3*i - 1. Calculate 4*h(w) - 272*t(w).\nAnswer: -624*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 - ((-990)\/770)\/((-18)\/60)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 184.8679 millimeters?\nAnswer: 0.1848679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifths of a millennium in years?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2417514, -0.05, 4, -5.\nAnswer: -2417514, -5, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-5 - -1*(sqrt(132) + (sqrt(132) - -3*sqrt(132))))\/(-2*sqrt(1200)*-2*4).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 108 (c) 4\/3 (d) -5\/3 (e) 4\/5 (f) 4 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1458*m**3 + 441*m**2 + 3016058*m?\nAnswer: -8748*m + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16280.8 millilitres?\nAnswer: 16.2808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -1\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -506 + 509. Let v be ((-12)\/32)\/((-3)\/2 + j). Which is the second smallest value? (a) 0.14 (b) 0.6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 12*v**2 + 2*v**2 - 5*v**2 - 189*v - 2*v**2.\nAnswer: 7*v**2 - 189*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 847657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 1)*(-3*n**5 + 4*n**5 + 0*n**5) - 2*n**5 - 3*n**5 + 4*n**5 + (4 - 2 - 3)*(3*n**5 - 3*n**5 + n**5) + 2*n**4 - 2*n**4 + n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008*q**2 - 11*q**3 + 1007*q**2 - 3021*q**2 + 1006*q**2.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2706577*t + 2706508*t - 7521 = 0 for t.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1339 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g**3 + 12*g**2 + 5*g - 324. Let m(h) = -2*h**3 - 3*h**2 - h + 2. Give -5*m(a) - q(a).\nAnswer: a**3 + 3*a**2 + 314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.4. Let m = -24 - -19. What is the smallest value in c, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 31, -7\/3 in ascending order.\nAnswer: -7\/3, 0.2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*h*p**4 + 382568*h*p**2 - h*p + 6*h + 332672*p**4 wrt p.\nAnswer: 5736*h*p + 7984128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23365*j - 4*n + 184 = -23363*j, -4*n + 172 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 14. Let w be b(-15). Let u(o) be the third derivative of 17*o**5\/30 - o**4\/24 + o**2. Is 11 a factor of u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.72975 - 13.71?\nAnswer: 1.01975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1094.8 - 1100.087. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 1, j: 2, m: 4}. Give prob of picking 1 j, 1 i, and 1 g.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*n - 1490608 = 67*n. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (8 - (-2 + 1)). Suppose n + 31 = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (41 - -15 - 25 - (9 - 1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {d: 3, i: 4, b: 2, f: 3, p: 6, v: 1}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 8*c**3 - 22*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*(-36 + 1). Let c = 365 - v. Is c - ((-4)\/(-4) - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44955 and 110889.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 - -161.9. Is -87 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -272*v**2 - 5*v - 5. Let q(r) = -1768*r**2 - 32*r - 32. Determine -5*q(p) + 32*y(p).\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 229 + 7?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/w**1)*w)*w)**(-12) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -92, -124, -136, -122, -76, 8, 136?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-22) - (-70)\/22. Let s be (2 - 3) + j - -2. Let r(k) = 4*k + 4. Let g be r(s). Calculate the greatest common divisor of 40 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 86 - 91 = 0. Suppose -13*p = -8 - j. Solve 9 = -2*c + p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + (2*sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152) + sqrt(152))*4)\/(sqrt(24)\/sqrt(3)*-5).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -509849 rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/270)\/((-96)\/(-120))*(-36)\/(-33)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12845.9 and -0.04.\nAnswer: 513.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + -1)**2 + (2 + sqrt(2448) - sqrt(2448))**2.\nAnswer: -10*sqrt(17) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.38. Let f = h - -4.6. What is the biggest value in 1\/5, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 82, 13 in increasing order.\nAnswer: -5, 13, 82","meta":{"dup_signals":{},"source":"comparison__sort_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: In base 13, what is -1 - 4506?\nAnswer: -4507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:29 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b**2. Let p(x) = -3*x**2 + 20. Calculate f(p(n)).\nAnswer: 135*n**4 - 1800*n**2 + 6000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3133328705 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.04, -2, -1\/11, -4\/7, -317, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7798 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaoott. What is prob of sequence oto?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - (sqrt(1008)*-2 + 0) - sqrt(1008) - sqrt(1008)) + sqrt(1008) + -1 + -4)**2.\nAnswer: -360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/20 - 7*y**2. Let x(b) = -8*b. What is f(x(i))?\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -3\/5, -0.08, 2\/19, 16, -18?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/3563613?\nAnswer: 2\/3563613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47719 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9429 * -2\nAnswer: -18858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 6)*(-5)\/3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2363*p + 129. Let w be a(-6). Let u = w + -5642. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 168, -2\/5, -11, 1\/11.\nAnswer: -11, -2\/5, 1\/11, 19, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3722239 rounded to one decimal place?\nAnswer: -43.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168\/2 - ((-36)\/(-6) + -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**2 + 0*f)*(2*f**3 - 4*f**3 + f**3) + (2*f**4 - 2*f**4 - 9*f**4)*(-5*f + 4*f - f) + 3*f**5 - 2*f**5 - 2*f**5.\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29a621a (base 12) in base 6?\nAnswer: 500401234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l + 0*l**2 + 3\/4*l**4 - l**3 + 3. Find the third derivative of f(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-20) - 281\/(-5). Let w be (-152)\/m - (-1 + -2). What is the nearest to 1\/4 in -2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-240))\/(768\/480)*(0 - 9)\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -746053+4\nAnswer: -746049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16184310, 16184311, 16184312, 16184313?\n\"Answer: o + 16184309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 128. Suppose 0 = -s - k + 7, -c*s = -4*s + k + 3. What is the highest common factor of s and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = -9. Let j = -2 - v. Let x = 13 - 7. What is the smallest common multiple of j and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 66\/(-12) - 9\/2. What is the closest to 38 in 2, 0.3, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7912 + 1791?\nAnswer: -6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and 10611?\nAnswer: 6472.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.057 - -11.257. Let w = j + -11.20000141. What is w rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87, -93, -99, -105?\n\"Answer: -6*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5530 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912 by -2.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 44 - 82 = 0. Let v be 15\/35 - 9\/t. Solve v = 5*f - f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2242.\nAnswer: -2\/1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 541*u - 34*u + 147*u - 62*u in the form o*u + m and give o.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 16 - -26) + -22 + 19 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*f + 9478 = 1758, 4*h = 5*f + 6149. Is h > 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.02 + 1.86. Let r = -0.16 - o. Let k = 462 + -11552\/25. Which is the nearest to -3? (a) 0.1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-8)\/j))\/j*(j*j\/(j\/((j*j\/((j\/((j**5*j)\/j))\/j))\/j*j)))\/j)\/((j**(-2)\/j)\/j*j)**(-8\/5) assuming j is positive.\nAnswer: j**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*t. Let a(r) = 4*r - 4*r + r**t. Let d(x) = -x**2 - 6*x - 6. Let g(j) = -j**2 - 7*j - 7. Let w(u) = -7*d(u) + 6*g(u). What is a(w(k))?\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 10*n**2 - 9*n + 6. Let h be r(-9). Let x = h + -13\/2. Which is the closest to -1? (a) 0.1 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132*(2 - 0 - 3). Find the common denominator of (-380)\/26*(-16)\/64 and -94*3\/y - 2.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0, 2\/7, -3753, -14\/387 in increasing order.\nAnswer: -3753, -14\/387, 0, 2\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 40600 = 4*m, 2*m - 1151*a = -1156*a + 20282. Does 40 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h = 65 + 262 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 2*x + 4. Let z be p(-4). Let r(s) = 4*s. Let h(a) = 5*a. Let i(w) = z*r(w) + 3*h(w). Let n(q) = 2*q**2. Give i(n(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 16. Let t(r) = -r. Let g(q) = -k(q) + 6*t(q). Calculate g(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 1713*w - 1703*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let h = 1.9 - s. Let l = -78 + 77.8. What is the third biggest value in h, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7594, -7608, -7610, -7606, -7602?\nAnswer: -7604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2809 - 2796. Solve -5*m = 5*f - m + j, 3 = f - 2*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 - -825\/4. Which is the biggest value? (a) 1 (b) 2 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:41 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 4492\/353?\nAnswer: 4492\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -190 and -0.070251.\nAnswer: -190.070251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.9? (a) 0.33 (b) -0.01 (c) 4\/7 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54352 = 6*h - 49*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (0\/(-1) + 0). Suppose 0 = 3*j - 7 - z. Suppose 29 = 2*r - j. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24542 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*t**2 + 0*t - 1\/3.\nAnswer: (t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 10 - 4*g**2 - 23*g + 4 to the form c*g + u + i*g**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597 - 85*x**2 + 2576*x**3 + 269 + 85*x**2 + 328.\nAnswer: 2576*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*h - 81. What is the remainder when h is divided by 21 - (0\/1)\/(0 - -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let m = -1.44 + 1.4. Which is the nearest to v? (a) m (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 11565*u**2 - 34674*u - 23112.\nAnswer: -3*(u + 1)*(u + 2)*(u + 3852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 582 - 405. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2763 + 58?\nAnswer: 27bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u + 4 + 3 - 8 + 12*u**2. Let w be m(1). Solve -4 = 4*c, -4*x - w*c - 7 = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 + 4*a. Let t(l) = -121*l**2 - 113*l**2 + 237*l**2 - 7*l - 4 + 7*l. Give c(t(s)).\nAnswer: -9*s**4 + 24*s**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/11*((-34485)\/228)\/55*-4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 333903.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 2*q**2 + q. Let s be m(-1). Suppose -t + 10 = -s*g, -2*g - 20 = -5*t + 4. Suppose 5*p + 0 = 25. Solve -p*c + t*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) 321 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-25200)*35)\/(22\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 (base 16) in base 11?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 63. Let r = -10 + q. Let h = -2 + r. Which is the third smallest value? (a) -2\/21 (b) 2\/19 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let x(u) = 11*u - 22*u + 16*u. Let n(j) = -11*q(j) - 2*x(j). Let i(g) = -2*g**2 - 19*g + 19*g + 0*g**2. What is n(i(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.76*-82.78.\nAnswer: -145.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -90. Let y = h + -7. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10656787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**3 + g**2 + 16*g + 15. What is f(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = -32*p - 693 - 462 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 9. Let b be n(6). Suppose -4*l = l + 5*v - 60, 4*v - 33 = -b*l. Let k(a) = 31*a**2 - l*a**2 - 14*a**2. Let q(p) = 3*p**2. Give k(q(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 611 + 288 + 302.\nAnswer: -p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - ((-10950)\/8)\/5. Suppose 2*c + 4*x = -0*x + t, x + 566 = 4*c. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*z + 273, -z + r + 4*r = 51. Let t be (-2850001)\/(-3) - (-22)\/z. Round t to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12636.15284 rounded to the nearest one hundred?\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 4. Suppose 5*z + r = -9, n*z + 7 - 2 = r. Let q(k) = -k**2 - 8*k - 7. Let f be q(-7). Is z bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720741034 to the nearest integer?\nAnswer: 26847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u - x, 0*x + x = -5*u + 11. Suppose -u = f - 4. Is 5 a factor of 0 - f\/(4\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*l - 17, -9 = -q + 3*l + 8. Solve -6*a + q*a = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 + 160*d**2 - 172*d - 328 = 0.\nAnswer: -41, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -1. Let v = 105 - 72. Calculate the greatest common factor of v and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-182)\/(-6))*(-7)\/(-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1\/2, 0.552.\nAnswer: 1\/2, 0.552, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159128003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.78 - 101.84. Let t = 15 + -15.7. Which is the biggest value? (a) k (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/((2\/40)\/((-72)\/45)) is divided by 75.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 530 + 262. Let m = -85 - g. Suppose 2*z - 2*h = 3*z - m, 4*z - 3*h = 34. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260916600 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 4 - 3*f**2 - 4*f**3 + 5*f**3 - 2*f**2. Let s be (-14)\/21 + ((-357)\/9)\/(-7). What is g(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 1b?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + (-1100)\/(-792)*9*4\/10.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6952 - 4213. List the prime factors of s.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20122312212 (base 4) to base 5\nAnswer: -1031112032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (126\/39060*279)\/((-30)\/4 + 0)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 2727*k + 69 - 16*k.\nAnswer: -2743*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose 9*n - 5*n - z = 0. What is the nearest to n in -1, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6818361 is divided by 7095?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1542346505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1140 (base 13) to base 2.\nAnswer: 100101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 63788.\nAnswer: -63788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k + 2. Let j = -152 + 150. Determine x(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9369 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let s be u(-1). Let d = 4 + -10. What is the remainder when 3 is divided by (1\/s)\/(2\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 = 15*i - 712 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -655*f**3*l**3 + 2*f**3*l + 278*f**2*l**2 wrt l.\nAnswer: -3930*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 407 + -2?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/5 - 143*(-198)\/(-1170).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/(v\/(v\/(v**0*v))))**(-26)\/(v*v**2*v*v*v*v*(v\/(v*(v**(3\/8)*v)\/v))\/v)*(v*v**0)**(-11)\/(v\/(v**(-4)\/v)*v*v\/v**(1\/6)) assuming v is positive.\nAnswer: v**(-2459\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + 3*y - 3. Let j = -160 + 154. Let u(o) = -o**2 - o + 1. What is j*i(z) - 17*u(z)?\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + -7fa60?\nAnswer: -7fa7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**4 + 19*y**3 + 10*y**2 - 73*y + 48. Let f(c) = c**3 + c. Let j(l) = 6*f(l) - 2*i(l). Factor j(b).\nAnswer: -4*(b - 1)**2*(b + 4)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5075 * -0.4\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t - 15. Let b be f(3). Suppose 0 = -y - y. Suppose b*w + 0*w = 5*l + 8, y = -w - 5*l - 4. Solve w = -4*m + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -839*g**2 + 12*g - 8. Let q(y) be the second derivative of -35*y**4\/2 + y**3\/2 - y**2 + 4*y. Let m(k) = 2*o(k) - 9*q(k). Is m(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, o: 2, n: 1, j: 1, p: 1}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 128. Let p = r - 60. Solve 4*n = 5*f, 2*f = 4*n + p + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13716, -54808, -123292, -219168?\nAnswer: -342436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.57522*0.3.\nAnswer: 1.672566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001133 (base 4) in base 15?\nAnswer: 4d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from llifbjp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 996 = -3*j, 249 + 1061 = 4*j - 2*s. What are the prime factors of j?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/16)\/(2\/104). Let l = 1436\/13 - o. Find the common denominator of -113\/12 and l.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = 0. Which is smaller: 2\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*a**3*v**3 - 3*a**3 - 3800*a*v**3 + 102*a*v**2 - 78*a + 3*v**2 wrt v.\nAnswer: -204*a**3 - 22800*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287569 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 0 - 1\/20*z**5 - 1\/3*z**3 - 75*z**2 + 0*z**4 + 0*z. Let n(j) = 4*j**2 + 3. What is 6*a(q) + 4*n(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1828*l - 23. Let a be q(-4). Let c = 10249 - a. Calculate the remainder when c\/(-32)*(-4)\/10 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789.9 * -3.14\nAnswer: -2480.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 45881 + 149*t**2 - 45881 + t in the form q*t + a + o*t**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*v + 118*v - 147*v - 206*v - 34*v.\nAnswer: -446*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 4:01 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + sqrt(600) - sqrt(24))*2 + sqrt(24))*-4)\/((sqrt(36)*-2*-2)\/sqrt(3)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3089 and 0.62?\nAnswer: -0.191518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343\/204 - -1\/68. Which is the nearest to -1\/3? (a) 0 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 51, 75, 99?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -161\/1820733?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2627*-26.34\nAnswer: 69195.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70175057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -17 - 1\/2*x**2 + 1\/3*x**3 - 2*x. Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - m + 1. Let q be (-1 - -2) + 1 + 2. Suppose q*f + 13 = 5*v - 12, -5*f = 25. What is the units digit of p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 42*b - 49*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/17)*x)\/((x\/(x*x*x**8))\/x) assuming x is positive.\nAnswer: x**(202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1149, 0, -3, 2, -6 in descending order.\nAnswer: 2, 0, -3, -6, -1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226 = 54*z + 24*z - 490 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 37 (b) 2\/3 (c) -1 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1120*r**2*v**2*y + 43*r**2*y + 4*r*v**2*y - 30*r*v**2 + 361*r*v*y wrt r?\nAnswer: 2240*v**2*y + 86*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:22 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - 11.3. Let d = g - -11.9999959. Round d to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334 divided by -3288.\nAnswer: 167\/1644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1038*l - 15602. What is g(15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-16 + -2))*(16 + 902\/(-55))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 859445 + 290945 = 0. Let y be 0 + (2*m)\/3. What is y rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6 + -15 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 - 21. 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 = 19.9 + -20.02. Sort 0, r, 0.8 in descending order.\nAnswer: 0.8, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776059594.\nAnswer: 2, 47, 18894251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a - 189. Calculate the remainder when 613 is divided by y(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*l + 26, -2*b - 2*l = -b + 2. What is the common denominator of -29\/3 and (-4120)\/(-576) + b\/18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -47*h. Let w(f) = -2 + 8 + 2965*f - 5933*f + 2966*f. What is m(w(o))?\nAnswer: 94*o - 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1322406 + -974.07?\nAnswer: -973.9377594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13320440 is divided by 1579?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60205.00000057282 - 60205. Round p to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a - 7. What is the remainder when (-3 + 5 - 1) + 1 - -17 is divided by b(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let h = 1226 + -1226. Suppose 1 = -q - 2. Let n be (h + -4)\/4 + q. Determine u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let h be j(-4). Suppose -r + 2*z = 3*r - h, 0 = 2*r - 2*z. Let b be 1*(3 - (r + 0)). Solve 0 = -3*i + 4*i - b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 133, 204, 277, 352, 429?\n\"Answer: d**2 + 66*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 5. Let r be o(5). Suppose a + 293 = r*a + 3*i, 0 = 5*i - 15. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 5)*140\/(-175). Which is the biggest value? (a) -41 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512607057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 2*u)*((-1 + 0 + 6)*(-5 + 1 + 3) - 1 + 5 - 3).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:03 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362972, 362973, 362974, 362975, 362976?\nAnswer: 362977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152938 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: Simplify ((s**(-2\/3))**(-2\/5)*(s\/((s**(2\/7)\/s*s)\/s*s))\/(s*s*s**(1\/5)))\/(s\/s**(-3)*s*s**(-1\/2)*(s\/(s**1*s))**10) assuming s is positive.\nAnswer: s**(899\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 300019, 300018, 300017, 300016?\n\"Answer: -u + 300020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 - 240*l\/7.\nAnswer: -3*l*(l + 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 5. Let l be t(11). Let c be 2\/(l\/15 + 0). Let i(o) = 3*o**2 + 4*o - 2. Is i(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.935473 centuries in months?\nAnswer: 5922.5676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 300 - 332 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) -2005 (b) -0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -233, 1, 66, 3, -3 in decreasing order.\nAnswer: 66, 3, 1, -3, -41, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 15) to base 11\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-649)\/(-59) + 374*3\/(-112) and -3\/1603?\nAnswer: 12824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:32 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyfbdnyv. What is prob of picking 2 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035600 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.5085 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183 + -2998962934?\nAnswer: -2998955751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -31*w + 100. Factor 136 - 2*y**2 + w*y - 28*y - 34*y - 2*y**2.\nAnswer: -4*(y - 2)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 615\/4 + -153. Let j = 26 - 26.3. Sort u, j, 0.1.\nAnswer: j, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 42. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x**2 - x - 5. Let j be p(5). Suppose -3*z - 2*q + 0*q = 1127, -3*z = q + 1126. Let c = j - z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 (base 11) in base 3?\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 3. What is the units digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460054724 is divided by 4805.\nAnswer: 4804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4, -6*c - 5*n + 24 - 29 = 0. Sort c, 2, -3, -18, -1 in descending order.\nAnswer: 2, c, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/351*-26)\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = b + 33, -3*b - 16 + 1 = 0. Let p be 5\/(-3)*(4 + q). Suppose 5*c = -2*h - 355, -6*c + c + p*h = 355. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*6 - 1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/288 and 29\/1100160.\nAnswer: 1100160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15975610.47 - -0.02?\nAnswer: -15975610.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 727 + 277. Calculate the remainder when (-1 + -1)*-44 - 0 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/100 and 71\/380.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/3)*v)**48\/(v**(-2\/5))**35 assuming v is positive.\nAnswer: v**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51*2\/(-30) - 6\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 34 - 89 = 0. Let j = 49 + i. Factor -12*x**4 + j*x**3 + 5*x**4 - 6 + 5*x**4 + 4*x**4 + 4*x**2 - 8*x.\nAnswer: 2*(x - 1)*(x + 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/1 - 1*-2919)\/((-314)\/(-2041)). What is v rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p + 994*p - 21255 = 8499 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g**2 + 74*g**2 - 35*g**2 to the form i*g + v + n*g**2 and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 15 = -0*l + l, -33 = 3*l + 4*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 8*v - 4. Let w = 19 - 11. Let b be l(w). Let i(c) = -5*c + 4. Let u(t) = 9*t - 7. Let j(g) = 5*i(g) + 3*u(g). Determine j(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/4 + 1 + 11. Let d be (-5)\/h*(-6)\/1. Suppose 0 = -d*s + 2 - 16. Let t(c) = -c**2 - 9*c - 9. Calculate t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*l**4 - 15*l**4 + 49*l**4 + (2*l**3 + 2*l**4 - 2*l**3)*(2 - 1 - 3) - 5*l**4 - 48*l**3 + 48*l**3.\nAnswer: 53*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -201 in -2\/11, -0.4, -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**3\/3 + 5*y**2\/2 + 3*y - 5. Let r be h(5). Suppose 2*u = u - r*v + 37, -v + 171 = 5*u. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(1088) - sqrt(1088)))**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*g**2*p**3 - 613*g**2 - g - 116428*p**4 + 408 wrt p?\nAnswer: 18*g**2*p**2 - 465712*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 13*l + 3*l)*(2 - 2*l + l**2 + 3*l - 3*l**2).\nAnswer: 24*l**3 - 12*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 0 = -144 + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 804184318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 235104 (base 6) to base 12\nAnswer: ba94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58065 divided by -21\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by 4.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5*5\/13. Let q = 1508.5 - 1509. What is the fourth biggest value in 5, g, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 0.4\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2 - 5 + 6)*(4*v**2 - 14 + 17 - 3*v**2) as m*v**2 + x*v + f + w*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8728.849ug to grams.\nAnswer: 0.008728849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649280 by -5.\nAnswer: 129856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -365, -1288, -2215, -3146, -4081?\n\"Answer: -2*d**2 - 917*d + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -0.4. Let h = l - -2. Let o = -4.7 - -5. What is the closest to -0.2 in 1, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15881.\nAnswer: 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 11. What is the second biggest value in 0.1, y, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 0*y + 2*y + (y - 3 + 3)*(1 - 1 - 1))*(5 + 18 + 11) to a + b*y and give b.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000372981 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -10.3, 18424?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -1 (b) -12\/5 (c) -0.0595 (d) 9 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + sqrt(80)*2 - sqrt(80) - (sqrt(80) + -2 + sqrt(80) + 1)) - ((4*sqrt(80) - sqrt(80)) + -1 + sqrt(80) + -2 + -1 + sqrt(80)))**2.\nAnswer: 880*sqrt(5) + 8121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(1*(2 - 1)). Let v = -15 + a. Which is smaller: 10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 + -4.7. What is the closest to 0 in 3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 88. Find the first derivative of 1 - 19*w**4 - 7 - r - 1 wrt w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035948.48 rounded to the nearest 10000?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-18) + (2455820\/(-765))\/62 - (-3 - -6).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-85)\/(-135) + -1)*(-1 + 8\/5). Which is the biggest value? (a) 1\/4 (b) -13 (c) 2 (d) g (e) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 3451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7388.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 6*n)*(0 - 1 + 3)*(0 - 9 - 4).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 106 = 2. Let d(t) = -t**2 + 13*t - 26. Let o be d(j). Sort 2, o, -3 in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388 * -0.1\nAnswer: 38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-52) + -1 - (-16420054)\/8. Suppose 0 = -0*m - m - 4*b - 410512, -2*b = 5*m + x. What is m rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*n - 2199 = 0, i - 677 = n + 48. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 178*a**2 + 2*a - 2. Let k be s(1). Let w = k - 121. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (sqrt(153) + (-2 + sqrt(153))**2 + sqrt(153) + sqrt(153))*6)*5*3)*-2.\nAnswer: -28176 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2505, -10282, -23249, -41412, -64777, -93350?\nAnswer: -127137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-369)\/6 - (-7 - -6). Which is greater: -61 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/33 and 97\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + 4*c - 5. Let q be n(2). Suppose v = -0*v + q. Suppose -3*o + 29 + v = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 2*v**2)*(3*v + 0*v - 4*v)*(v + 0*v - 3*v).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiooiioihhooiiioop. Give prob of sequence oh.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(75)*-2 - sqrt(75)) + sqrt(75) + 2).\nAnswer: -30*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469533.\nAnswer: 3, 156511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 6176?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40440183.9 rounded to the nearest 100000?\nAnswer: -40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1cb3 (base 14) to base 4\nAnswer: 1102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - 15360\/42. What is the tens digit of (3\/(-2))\/(3\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7521)\/(-460))\/109*4\/(-18)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 176572289 - 176572289 - 10*l**3.\nAnswer: -10*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:45 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from kkkkkkkkkkkkkkwkkkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 1554957?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 355, 377?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjb. What is prob of picking 1 j and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 84.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*v = 434*v - 27. What is the lowest common multiple of (0 + v)\/(15*1\/85) and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -80, -210, -474, -920, -1596, -2550?\nAnswer: -3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5442 + -5433. What is the nearest to 29 in -1\/3, a, 0.1, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 4 (c) -109 (d) 0.08 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-5)\/(-30))\/(231\/231)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -2, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 8 - (30 + -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8976 and 36442186.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3 - d**2)*(-d + 5*d + 0*d + (4*d - d - 2*d)*(5 - 6 - 1)).\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26929579 to the power of 1\/2, to the nearest integer?\nAnswer: 5189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -288543731 rounded to the nearest one hundred thousand?\nAnswer: -288500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 11059499.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from pvwnpmn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Suppose -r + 6*r + 80 = -o*t, t = r + 16. Let l be -2*4\/r*6. Solve -2*d - l - 3 = 2*z, -3*z + 4*d = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(1539) + -3 + sqrt(1539))**2 - sqrt(133)\/(1*sqrt(7)).\nAnswer: -115*sqrt(19) + 6868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -199481106*b - 1033836986 wrt b.\nAnswer: -199481106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11717807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15163839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 17700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 7 + (-15 - (-1 - 3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10413 + -14177?\nAnswer: -24612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-12)*-9 + 2. Let f(v) = -3*v + 6. Let a(r) = -r + 2. Calculate x*f(b) + 11*a(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/12 + 3*k. Let a(l) = -14*l - 2*l**2 - 20*l**2 + 14*l. Calculate a(w(t)).\nAnswer: -22*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -x + z, 0*x + 3*z = -x + 1. Let y = x + 1. What are the prime factors of (-28)\/(-2)*(-2)\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + ((8 - -3) + 12\/((-312)\/130))*-1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -121? (a) 3 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 28259 = -3*z, -4*c = 12*z - 7*z - 113036. List the prime factors of c.\nAnswer: 7, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 54 - 21. Let g be ((-18)\/27)\/((-1)\/3). Sort i, g, 8.\nAnswer: g, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**3 + 2*t - 2. Let u(v) = v**3 + v**2 - 1. Let i(h) = -5*u(h) + y(h). Suppose -3*q + 25 = 5*o, 3*q = 3*o - 2*q - 15. Let s = 9 - o. Give i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539701.55 + -0.2912.\nAnswer: 539701.2588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let z = 0.9 + -1.3. Which is the closest to q? (a) -3 (b) 3\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000134895504 to 7 decimal places.\nAnswer: 0.0001349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032195 rounded to five dps?\nAnswer: 0.00322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 66900 = 2*b - 100652. Is b a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j. Let l = 38 - 32. Let y(b) = -b. Let k(c) = l*z(c) + 17*y(c). Let r(s) = 1. Let g(w) = 2*w + 33. Let i(f) = g(f) - 4*r(f). Calculate i(k(q)).\nAnswer: 2*q + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvvhhhevvvvevehvevh. What is prob of picking 2 v and 1 e?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 128277567 divided by 4751021\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*l - 49*l - 28*l - 50*l + 175*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5055 + -0.5055. What is the third biggest value in 1\/4, 85, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 + 9 = -4*f, -2*n = 2. Suppose 1 + 1 = r. Let q(k) = 2*k**3 + 4*k + 8*k**r - k**3 - 2*k**2. What is q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15714461 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2448 = 435*k - 8538 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -102\/5, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k**3 + 3*k**2 + k + 20. Let q be l(-8). Let f be q\/252 + 4\/(-18). What is the greatest common factor of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -27, -7 in descending order.\nAnswer: 5, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -3*j**4\/2 + 15*j**2 + 24*j. What is the derivative of x(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o**3\/3 - 5*o**2\/2 + 2. What are the prime factors of t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121)\/(-2178)*4\/(-3).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*c - 2. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 = 0, f + 26 - 6 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 0*i - 4*i)*(-2*i + 0 + 0) + (-i - 3*i - 4*i + (-i + i - 2*i)*(-1 - 3 + 2))*(6*i + 6*i - 20*i) to the form q*i + c + p*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*h - 0*h + 28, 5*w + 3*h = 37. Suppose 13 = w*s - 17. What is the third derivative of 3*z**5 + z**2 - 3*z**5 - 3*z**s wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**7\/42 - m**6\/6 + 11*m**5\/12 + 25*m**4\/4 - 2*m**2 - 81. Solve t(c) = 0 for c.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1.7 (b) -3 (c) 10 (d) 11 (e) -2\/3 (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 862*p - 858*p - 16 - 1 + (0*p - p + 3 - p)*(1 + 1 - 5).\nAnswer: 10*p - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3 - 4 + 2 + a. Let d(t) = t**2 - 3*t - 2. Let m = -133 - -131. Let b = 2 + -3. What is b*d(i) + m*g(i)?\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141205 (base 6) in base 8?\nAnswer: 741405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.39999926 - 28.4. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -21.044. Let q = c - -9.744. What is q rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b**4 + 559*b**3 - 1365*b**2 - 4900*b = 0. What is b?\nAnswer: -35\/18, 0, 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9029*j**2 + 9027*j**2 - 18039*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from wrwwwxrxxrwrwxw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.7 - 14. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 12. Suppose 15*h + 36 = k*h. Let x(c) = h*c + 12*c - 16 + 16. Let v(u) = 2*u. Calculate x(v(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 - -3.54. Let i be ((-13)\/(-4) + -3)\/(2\/16). Let p be (i - 1)*9\/63. Which is the nearest to 0? (a) p (b) -1\/6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35)\/(sqrt(7)*2) - sqrt(5)) + (sqrt(5) + 0)*1)**2 - (sqrt(90)\/sqrt(2) + sqrt(80) + -2)) + 3.\nAnswer: -7*sqrt(5) + 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*x + 25, 10*x = 3*h + 5*x - 25. Suppose 2*u = -h*u + 60. Suppose 6*b - u = 3*b. What is the least common multiple of b and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366244044 a multiple of 4991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b3fa + 563?\nAnswer: b95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1064, 28, 2956, 8626, 17944?\n\"Answer: 151*s**3 + 12*s**2 - s - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91) - ((sqrt(91) - (sqrt(91) - 2*sqrt(91)*-4)) + sqrt(91)))*6)\/(3*-1*sqrt(448)*1))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 7. Let b(t) = 7*t**2 + 2*t + 1. Let i be b(-1). Calculate g(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 5. Let h be n(0). Let q = -3 + h. Suppose -106008 = -2*d - q*p, 0*p + 211992 = 4*d - 2*p. What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {l: 2, k: 1, h: 2, v: 6, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*j - 3*j = -1930, -5*w = -j - 1925. Is 64 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13638, -24596, -35540, -46464, -57362?\nAnswer: -68228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -3401022321?\nAnswer: -3401022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u + 4. Let p be x(-6). Suppose 0 = 4*j - o - p, -10 - 27 = -5*j - 2*o. Suppose 0 = -4*b + b + j. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*q + 382*q - 146*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -o - 13, -12 = 6*i - 7*i + 2*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -454, -3208, -10370, -24046, -46342, -79364, -125218?\n\"Answer: -351*a**3 - 98*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-410)\/33005)\/(4\/(-14))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 4*n)*(-4 - n**2 + 4) + n + 0*n + 2*n - n**3 as z + p*n**2 + c*n**3 + l*n and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - 2*r**4 + 0*r**2 + (2*r**3 + 2 - 2)*(r - 4*r + 2*r) + (0*r**2 + 2*r**2 + 0*r**2)*(38 + r**2 - 38).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-896)\/240)\/7*(-525)\/(-42)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:48 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -4, -271, 39 in descending order.\nAnswer: 39, 1, -4, -7, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 6 + -3)*(-17)\/34. What is the smallest common multiple of (1 + 25\/(-10))*(-1 + t) and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*i - 5*j, -i + 4*j - 127 = -151 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -867, -1299, -1731?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 1\/12*a**5 + 1\/90*a**6 + 1\/6*a**4 - 2*a - 4\/3*a**2 - 2\/9*a**3 + 0. Solve w(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 18 = -g, -16*g = -18*g - 4. Calculate the smallest common multiple of y and 298.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-330)\/(-275))\/(4\/5*2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = d. Suppose 3*z - d*z + 11 = -2*l, 0 = -4*l - 16. Let q be (2 - z) + (2 - 2). Solve -23 = q*k + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.32 + 0.58. Let a = n - 3. What is the nearest to a in 4, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-3*sqrt(10)\/sqrt(5)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -210?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 345, 1493, 3403, 6081, 9533, 13765, 18783, 24593?\n\"Answer: d**3 + 375*d**2 + 16*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 + -162. Suppose -55*u + 337 + 268 = 0. Factor -121\/2 - 1\/2*q**o - u*q.\nAnswer: -(q + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1735 or -14\/323?\nAnswer: -1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 2. What is o(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1711*q**2 - 13 - 3*q**3 + 2*q**3 - 1713*q**2 in the form u + v*q + r*q**2 + t*q**3 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8311\/18 - 4040\/9. What is the common denominator of u and (-4)\/(-18)*(-194)\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4004 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**3 - 6*l**2 - 18*l + 2. Let u(h) = -9*h**3 + 4*h**2 + 21*h - 2. Determine -2*p(d) - 3*u(d).\nAnswer: 7*d**3 - 27*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 719\/66 - 173\/11. What is the common denominator of d and (26\/(-3) - -8) + 28\/(-88)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16514.\nAnswer: 2, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11399*r**2 + 306*r - 15. Let x(l) = 5699*l**2 + 162*l - 8. What is 9*b(u) - 17*x(u)?\nAnswer: 5708*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - 9) + -8 - -67) + -2 + 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-24)*(-6328)\/339\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1 - (-1925)\/(-105)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 0.29, -0.3, -0.5 in ascending order.\nAnswer: -0.5, -0.3, 0.29, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5515.1206 rounded to the nearest integer?\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/55)\/(12\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.63. Let t = u - 0.33. Which is the second smallest value? (a) -8 (b) t (c) -4 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 248, 522, 752, 938?\n\"Answer: -22*j**2 + 340*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 19*t**2 + t. Let u be r(-1). Let x(q) = 2*q + 18. List the prime factors of x(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 30697920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(2)*-6 - -3*sqrt(8)) + -2)**2.\nAnswer: -6936 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let k(j) = -3*j**3 + j**2 - 5*j + 5. Give k(o) + 5*v(o).\nAnswer: -3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101001001000001?\nAnswer: 101001000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 4. Let h be p(-3). Let f(o) be the first derivative of -5*o**3\/3 - 3*o**2\/2 + 53. Calculate f(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 2. Let a be i(4). Let m = a - -2. Suppose -m - 29 = -3*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6896716, 6896625, 6896534, 6896443, 6896352?\n\"Answer: -91*m + 6896807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*j + 28, 0 = -j + 4*x + 26 - 9. Suppose -5*w + 37 = 12. Calculate the greatest common divisor of j and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/9 - 1)*10116\/(-4215).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2 + 15\/40*-4. Let n(x) be the second derivative of -1\/105*x**6 + 0*x**2 + 0 + 1\/294*x**7 + 1\/42*x**4 + 0*x**5 - w*x - 1\/42*x**3. Factor n(z).\nAnswer: z*(z - 1)**3*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -5\/2 (c) 73 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2. Let l(p) = -6*p**3 - 11*p**2 - 2*p. Determine 22*d(u) + 2*l(u).\nAnswer: 10*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314691 is divided by 661?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29707 + 46253. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 4:04 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j + 29. Is 48\/5 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 4, -0.25, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 2*g. Solve 4*k + g = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Suppose 0 = -2*s - 0*s - 6. Let d(m) = -95*m**2 + 3 + 49*m**2 + 53*m**2. Let t(n) = -35*n**2 - 14. Let p(j) = s*t(j) - 14*d(j). Give h(p(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 444*n - 2439. What is the tens digit of a(35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42344852 is divided by 42.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5018596 is divided by 702?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.2 - 1.8. Let m = 30.999979 + s. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711.6439km to nanometers.\nAnswer: 711643900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28.5 or -0.003?\nAnswer: -28.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhrhlxxxhlh. Give prob of sequence hrl.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, s: 2, w: 2, k: 2, n: 2}. What is prob of sequence xx?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1747276.2 to the nearest one hundred.\nAnswer: 1747300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72, 264, 590, 1056, 1668?\n\"Answer: x**3 + 61*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*c + 1. Suppose 112*m + 110*m - 242*m + 5060 = 0. What is the highest common factor of m and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(30\/(-42)))\/((-15)\/(-2)))\/(253\/1265)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137066580 divided by -21330\nAnswer: -6426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = 2*s, u - 3*u + 18 = -4*s. List the prime factors of (-111)\/(9\/6 + s).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 11557718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((3*(sqrt(1300) + 1) - sqrt(1300))**2 - (5 + ((sqrt(1300) - (sqrt(1300) + 0)) + sqrt(1300))**2)) + 1 + sqrt(1300) + 3 + -1).\nAnswer: 390*sqrt(13) + 11721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 21 - 85. Let s be ((-4)\/g)\/((-6)\/(-12)). Which is the closest to -1? (a) s (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2.09, -20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 7*g + 4. Let r(d) = -1. Let j(m) = -3*r(m) - t(m). Let u be ((-9)\/4)\/(2\/(80\/15)). Is j(u) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160485664 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. What is the units digit of 14\/3*(h - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, 1\/94, -0.3, 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 28 = -52. Suppose -d*q + 13*q = 755. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and 137224.\nAnswer: -4391168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, x: 4, b: 4, s: 3}. What is prob of picking 1 p and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 34*i**2 + 20*i - 30. Let g be a(-19). Calculate the greatest common divisor of 66 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8877\/16 - -555. Let d(f) be the first derivative of 7 - y*f**4 - 3\/4*f**2 - 3\/4*f**3 + 0*f. Determine u so that d(u) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 1457*j**5\/60 - 223*j**3\/3 + 1545*j**2. What is the first derivative of l(g) wrt g?\nAnswer: 2914*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8836 - 1.1?\nAnswer: -8837.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1 (b) 4.7 (c) -5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 8854*c - 8843*c. Solve 3*d = c*u - 9, -u - 4*d - 29 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**7\/42 + h**6\/6 - 3*h**5\/10 - h**4\/3 + 4*h**3\/3 + 120*h. Let y(f) = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1534, -506, -3, 2, -2.\nAnswer: -506, -3, -2, 2, 5, 1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 4*j**2 + 2*j + 3. Let u(d) = 3*d - 3. Let x be u(-4). Let y = -10 - x. Is m(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -78*c. Suppose -48 = -2*w + 5*w. Let r be h(w). Suppose -r = -3*p - 3*l - 135, -4*l = p - 365. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 483 - 247. Let m = y + -430. Is (m\/8)\/((-1)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 12*q - 28 = -5*i, 3*q = 2*i - 19. Suppose -i*t - 15 = 5*v, 2*v - 1 = -5*t - 4. Let u(h) = -1 + 1 - h. Determine u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -966? (a) 5\/3 (b) -0.67 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + 238. Let v = z + -127. Calculate the common denominator of (-3 - v\/(-56))*6 and -27\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w - 98. Let y be h(6). Let g(r) be the third derivative of 187*r**4\/24 - 5*r**3\/2 + 4*r**2. Is g(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - 109*r - 4*r**2 + 109*r + (32*r - 9*r - 3*r)*(r + 0 + 0).\nAnswer: 16*r**2 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ab4 + -2?\nAnswer: ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 2535*o**2 + 19915*o - 22455.\nAnswer: 5*(o - 1)*(o + 9)*(o + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4.85, 2\/9, 4.6, -0.5, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.3 and -5590588.\nAnswer: -5590567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 11*o**2 + 54*o + 13. Let p be l(-3). Which is the smallest value? (a) 7 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 2221330?\nAnswer: 2221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -30. Suppose 7*m - 42 = -0*m. Calculate the remainder when s is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u + 3*h - 11476, 4*u + 4*h - 11472 = 0. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -28.3.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000829 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 4, q: 1, p: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, y: 2, w: 2, q: 1, v: 1, b: 4}. What is prob of picking 2 w, 1 b, and 1 q?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/12)\/(2\/40). Suppose i = 2*z + 3*z. Solve 5 = -2*y + r, z*r = 3*y + y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/9 + 16472*f**3\/9 - 38402*f**2\/3.\nAnswer: -2*f**2*(f - 8229)*(f - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27331.6 rounded to the nearest one hundred?\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 13. Let d = i + 6. Let z = 177\/4 + -44. Which is the smallest value? (a) z (b) -4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/11, -0.0891, -0.5, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, c: 3, f: 1, x: 2, g: 8, e: 1}. Give prob of picking 3 h.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -47. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*w = -22465 + 15085 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 2, p: 1, x: 1}. What is prob of sequence nq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 370592742?\nAnswer: 370592742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-8))\/(915\/(-120) - -8). Solve m*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 - 2*v**2 - 3*v - 3. Let d(a) = -8*a**3 + 3*a**2 + 5*a + 5. Let w = 1211 + -1216. What is w*c(r) - 3*d(r)?\nAnswer: 4*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-4)\/15*-3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 s, and 1 u when four letters picked without replacement from smtmcumhthh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4683993*f**2*j**2 - f**2*j + 101992*f**2 + 29*f*j**4 - 437*f*j wrt j.\nAnswer: 9367986*f**2 + 348*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41101830?\nAnswer: 2, 3, 5, 7, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 4, h: 1, n: 3, d: 4, s: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224702.\nAnswer: 2, 283, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -1, -0.3, -3\/41, -0.02, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 0, -3*f + 630 = c - 6*f. List the prime factors of c.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5984f2 - -2?\nAnswer: 5984f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.028826978 + 283.027336978. Let a = 283 - c. What is a rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29668842 and 3230.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-118)\/(-2)*(-1)\/(1\/(-2)). Suppose 4*m = 6*m - t. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + -54*2\/14. Let i be (-7 + (-3784)\/(-32))\/(1\/a). Round i to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2668\/17 or 156?\nAnswer: 2668\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 739\/40?\nAnswer: 739\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 2*o + 2. Let u = 38 + -35. Suppose -q + u*a = 2*q - 24, -5*a = 4*q + 13. Give j(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 2183895?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3 and -55\/747.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 - (0 - (-2 - -4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3466 = 4*v - 3*v, 3*p - 3468 = 3*v. Let m(y) = 1155 - p + 3*y. Let u(g) = -21*g. What is u(m(w))?\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/8 - 7*y\/4 + 49\/8 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 551 (base 6) to base 14\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.2 - 1.3. Let j = 5.12 - 0.12. Let v = o - j. Which is the nearest to v? (a) 5 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 + 47. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1892 + -692. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2 - 26354*c\/7 - 292916.\nAnswer: -2*(c + 91)*(21*c + 11266)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.58263254 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6 - 3 + y + 3*y**2 + 3*y. Let c be x(-2). Suppose 2*q - 3*j + 3 = c, -j = -q + 2. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45c5 + 4da?\nAnswer: 4ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/3)\/((-910)\/(-1001)) and -63\/2260.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2\/13, 0, -3 in descending order.\nAnswer: 0, -2\/13, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 5*v**3 - 4*v**3 + 11*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -461, -705, -951, -1199, -1449, -1701?\n\"Answer: -m**2 - 241*m - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -104, 7, -1058, -5, 0, -1.\nAnswer: -1058, -104, -5, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (1 - -6 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3000998 = -28999002. What is i rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*m - 105, -m - 1 = -5*u + 4. Suppose m*j = 22*j - 6. Suppose j*r = -0*r + 168. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4356 divided by -33\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + o - 2 + 0*o)*((-234*o + 565*o - 213*o)*(-3 + 3 - o) + 2*o**2 + 3*o**2 - 7*o**2) as k*o + s + m*o**3 + q*o**2 and give q.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 75, 3, 4 in descending order.\nAnswer: 75, 4, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 2523. Let j(w) = -3*w**2. What is j(t(r))?\nAnswer: -12*r**2 - 30276*r - 19096587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1. Suppose 317*f - 3 = 318*f. Is f\/(-2)*52 + h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 10. Let u be t(-5). Solve 4*h = -4 - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-3 + -2 + 4). Let c be (48\/10 - 6)\/(21\/(-15)). Let m = 0.3 - 1.3. What is the fourth smallest value in c, m, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5341502 and -6543.\nAnswer: -6543.5341502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 6*o = 5*w + 13100, 4*o + 4*w = 10496. Suppose -5*d = 5*t - 7*d - 4376, 0 = 3*t - 3*d - o. List the prime factors of t.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2768.42544 - 2768. Let a = -0.431 + y. What is a rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 4362*b**4 - 88332*b**3 + 159192*b**2 = 0. What is b?\nAnswer: -1474, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1598 and -1.3.\nAnswer: -1599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, j: 4, e: 2, z: 2}. Give prob of sequence zeq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -x + 127, 3*y - 28 = -4*x + 64. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h + 45*h - 21*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941374335 to the power of 1\/3, to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1307507 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -0.2 (b) 3 (c) 6 (d) -95\/12 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/38 in 0.3, 3, 0.4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -504757 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93, -78, -37, 42, 171, 362, 627?\n\"Answer: 2*p**3 + p**2 - 2*p - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620114245 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-2)\/((-128)\/(-96))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = -2*l + 3*l, -2*l = -5*a + 27. Let w be 3\/(33\/2) + (-766)\/(-22). Suppose 15*q = w + 40. Put a, -2, q in ascending order.\nAnswer: -2, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 52*w**2 + 3 + w - 2 + 0 as h + b*w + d*w**2 and give d.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, i: 2, j: 4, h: 4}. What is prob of sequence zjjz?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -4)*(-321)\/(-428)*(-8 - -2). Sort -2, -6, 7, o.\nAnswer: -6, -2, 7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42324.9137 rounded to the nearest ten?\nAnswer: -42320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-2)*(-2286)\/9144?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - (1480\/(-18) - -1). Suppose -2*q + 3*r = -c, q - 6*q = 4*r - 168. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39.86, -0.7, -1\/2 in descending order.\nAnswer: -1\/2, -0.7, -39.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 4, b: 3, k: 4}. Give prob of picking 2 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/380 and -10 + 15475\/1520 + (-2)\/(-16)?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 - 5 - 10*x**2 - x**3 + 4. Let j be z(-10). Does 2 divide 5*(j + (6 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooao when four letters picked without replacement from aoaoao.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112 and 4848.5?\nAnswer: 543032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43442\/(-2898) - (1 - -1)) + 12 + -3 + 8.\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10 + 532\/64*-4 and -15\/562.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let m(y) = -y - 1. Let h be m(v). Is h at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.81 + 1.9. Let p(n) = -4*n + 7*n + 3 + 14. Let z be p(-6). Which is the third biggest value? (a) z (b) x (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*w + 13*w + 78*w**4 - 8*w wrt w.\nAnswer: 936*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14843 - 14838. Let i be 1\/(-2) - (-15)\/29. Let r = 125\/522 - i. What is the third smallest value in h, -4, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298979151 divided by -1163343?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10505 and 53\/140767.\nAnswer: 703835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*u**3 + q**2*u**2*w + 12*q**2*u**2 - 5*q**2*u*w**2 + 487*q*w**3 + 2*u**3*w**2 + u**3*w + 3 wrt w?\nAnswer: -10*q**2*u + 2922*q*w + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 - 6*c**2 + 2*c**2)*(-4 + 2*c**2 + 4) + 0*c + c**4 + 0*c + c**4 + 5*c**4 - 8*c**4 - 4 in the form p*c**4 + u*c + v*c**3 + h*c**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24 - 103 = 17 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7733, 15551, 23369, 31187, 39005, 46823?\nAnswer: 54641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x + 23. Let p(y) = -y**3 + 3*y**2. Let u be p(3). Let j be l(u). Let a = 38 - j. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 69882190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 16) + (11 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o - 8 = 0. Suppose o*q = 3*q. Factor 1\/4*j**3 + q + 1\/4*j**2 - 1\/4*j - 1\/4*j**4.\nAnswer: -j*(j - 1)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.87 + 0.33. Let f = n + -4.20000034. Round f to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let t be 1*j*-4*-17. Suppose 4*a - 2*i - 58 = 0, 3*i = a + 56 - 58. What is the greatest common factor of a and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -944 - -949. Suppose -c = -b - 4 + 11, 3*c = 4*b - 29. Solve 4*j - 12 = -f, v*j - 2*j = -f + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*84\/(-24)*(-1)\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 5*g + 2*g + (2 + 4 - 4)*(-2*g + 2 - 2) + 5*g - 4*g + g - g + 2*g - 2*g - g + 1 - 1 + (3*g - 3*g + 2*g)*(2 - 4 - 1).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 38941.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, s: 5, j: 1, q: 5, c: 5}. What is prob of sequence iqqj?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 6. Let z be y(-6). Let s = 165 + -161. Solve 0 = 3*d - 2*h - z, s + 5 = 3*d - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -221*o - 16. What is the units digit of c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/20 and -47\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let k = -10275 - -10270. Let a(u) = -u**3 + 6*u**2 + 5*u + 10. Let l be a(7). Put g, k, l in increasing order.\nAnswer: k, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/7462 and -97\/1066.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4729493 by -4.\nAnswer: 4729493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2118 and -4.520406.\nAnswer: -2122.520406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 1. Let t(r) be the first derivative of -r**3 + 4*r - 42. Calculate -12*g(q) - 3*t(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 56. Let b(x) = -2*x + 114. Determine 3*b(k) + 7*f(k).\nAnswer: k - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11984841+37.084\nAnswer: -11984803.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2640\/(-297))\/((-122)\/549).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(32\/120).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7664980 (base 10) to base 3\nAnswer: 112102102101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3191 - 795. What are the prime factors of t?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + a3d42?\nAnswer: a3d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 4. Let m(u) = -u - 1. Let s(y) = c(y) - m(y). Let b = -3 + 12. Let q = b - 6. Determine s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s + 2. Let b(d) = -12*d + 3. Let j(c) = -4*b(c) + 5*i(c). Let v(y) = -6*y - 1. Determine -4*j(x) + 5*v(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = 0, -4*u + 2*d - 4 = 4. Put -4, -0.5, u in increasing order.\nAnswer: -4, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/3 - 6301*f**4\/3 - 188033*f**3\/3 + 608221*f**2\/3 - 137962*f = 0?\nAnswer: -6271, -33, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*z + 1 = 0, -6*b + b = 4*z - 29. Let j(a) be the second derivative of 0*a**b - 1\/10*a**6 + 0 + 1\/4*a**4 + 0*a**3 + a + 0*a**2. Factor j(q).\nAnswer: -3*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -9 - 12\/5*u**5 - 21\/8*u**4 - 1\/4*u**6 + 0*u**2 + 0*u**3 + 0*u. Factor h(b).\nAnswer: -3*b**3*(b + 1)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-5) - 437)*(-2)\/5. Let l be w\/42 - 1\/7. Suppose -6 = 2*b, -i - l*b = 3*i + 12. Solve i*n + 10 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 10*z - 20456 = 0. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3\/6 - 545*k**2\/6 - 6565*k\/3 + 2280 = 0. What is k?\nAnswer: -72, -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -80, -1, -4, 3\/403, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8874 = -18*h + 12*h. List the prime factors of h.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**4 + 3*c**2 + 31 wrt c.\nAnswer: -16*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u + 1, 53 = 5*b - 3*u. Solve -2*p + 6*p - d = b, 0 = -2*p + d + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/4 + 137\/36. Let r = 12 + -9. What is the second smallest value in r, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 9) + 1*3. Let p(a) = -2*a**2 - a**2 + 2*a**2 - 3 - 5*a. Let k be p(d). Solve -n = k - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 19*l + 35. Let w be v(27). Suppose 0 = w*o - 244*o. Factor -1\/2*p**5 + 5\/2*p**4 + o*p + 0 - 7\/2*p**3 + 3\/2*p**2.\nAnswer: -p**2*(p - 3)*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -2) + 0 - -6. Suppose 4*u - 5 = p, 2*u - s*u + 2*p + 10 = 0. What is the third derivative of 2*z**6 - 5*z**2 - 5*z**5 + u*z**2 + 5*z**5 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1650)\/250 - -9)*(0 - 15\/(-2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Let q = -4 + b. Let w be 27\/21 + q\/14. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50196299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w - 47. Give o(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1700) + -2 + sqrt(102)\/sqrt(6)*2)**2.\nAnswer: -144*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 84*q**2 + 399*q - 887. Let f(t) = -26*t**2 - 134*t + 296. Let c(o) = -4*a(o) - 13*f(o). Factor c(y).\nAnswer: 2*(y - 2)*(y + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.2 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -328523.\nAnswer: -328528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let p(o) = -5*o + 6 + 4*o - 2*o. Let f(g) = p(g) + 2*w(g). What is the units digit of f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5788 - -10227. Calculate the greatest common factor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132029236 to the power of 1\/2, to the nearest integer?\nAnswer: 11490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -41*h**2 - 21*h - 29. Let z(v) = -7*v**2 - 4*v + 1. Let s(g) = c(g) - 6*z(g). What is s(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003292698 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 122\/5 (c) 0.0312 (d) -4\/9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10446501 to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 16. Let c(w) = 1. Let x be (0 - 1 - -2)*-1. Let t(q) = x*l(q) + 10*c(q). What is the first derivative of t(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 49. Let w(a) = -11*a + 5. What is the tens digit of w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4602 (base 16) to base 15\nAnswer: -549c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 - 20117*k + 20143*k.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 699, 1578, 2817, 4596, 7095, 10494, 14973?\n\"Answer: 30*p**3 + 669*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564*u**3 + 0 + 1567*u**3 + 3 - 7.\nAnswer: 3*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*s**2*t**3 - 2*s**2 + s*t + 3*t**2*v + 55*v with respect to t.\nAnswer: -21*s**2*t**2 + s + 6*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 4, 2, -0.05, -7, -8, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - -0.5. Let v = 0.28 - 0.16. Let i = v - -0.88. What is the closest to 0.1 in r, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g - 4 + g**3 + 4.\nAnswer: g**3 + 79*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207, 411, 613, 813, 1011, 1207, 1401?\n\"Answer: -s**2 + 207*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 5 + 5)*(-21*w**2 - 22*w**2 + 227*w**2).\nAnswer: 552*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (7 + 5)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-24)*-3*(-1)\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -118, -176, -244, -328, -434?\n\"Answer: -x**3 + 4*x**2 - 59*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042753759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 2 = -9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/85668 and -149\/49560.\nAnswer: 5996760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a decade in months?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let h be d(5). Which is the third smallest value? (a) 5 (b) h (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(-1 + sqrt(288)) + ((sqrt(288) + 0 - sqrt(288)) + -1)**2)*6.\nAnswer: -36 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*z + 200*z = -4*v + 30, -5*v = -4*z - 65 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/(l\/l**(-2\/9)))\/(l\/(l\/((l\/l**(2\/3))\/l)))**(2\/7) assuming l is positive.\nAnswer: l**(187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/13240 and 11\/20.\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6465 + -155195\/24. What is the common denominator of 87\/28 and b?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**12)*u**(-8))\/(u\/u**12*u**6) assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (10 + -10 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 541.96 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4390 + 14578. Does 140 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2926087 centuries in months?\nAnswer: 351.13044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 862963 and 548?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -467832 less than -467830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191.1 + -201. Let h = -10 - c. What is the third biggest value in 1, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 56*u - 100 = -54*u, -4*f - u - 48 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -300 and 7?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 63, 147, 265, 417?\n\"Answer: 17*g**2 - g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 5*k + 10*h - 227, 2*k - 2*h = 110. Solve 115 = k*i - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/2, 1\/2, 123, 28, -9, 2 in increasing order.\nAnswer: -9, -3, -3\/2, 1\/2, 2, 28, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-21))\/(3\/((-81)\/(-31779)*77))?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 438987.1ng in kilograms?\nAnswer: 0.0000004389871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/3, -2\/13, 2, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*k + 95*k = -39. Let w be ((-20)\/25)\/((-3)\/75). Let l = w + k. Calculate the remainder when 63 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -7) + -12 - (9 - 6 - 10).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 9 + (-15)\/5. Put b, -2, -4, 1 in decreasing order.\nAnswer: b, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 11*g**4\/4 + 32*g**3\/3 + 11. Find the third derivative of r(a) wrt a.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/80 and 45\/112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 2*v. Let u(k) = k + 9. Let c be u(-7). Suppose 0 = -3*h - c + 8. What is z(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (4 - 4) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 divided by 12?\nAnswer: 437\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1590 by 3.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*w + 4*f + 1160 = -127*w, 0 = w + 4*f - 275. What is the second derivative of -194*n - 123337 + 123337 + w*n**4 wrt n?\nAnswer: 3444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let r(x) = x**2 + 15*x + 14. Let y(v) = -5*a(v) - r(v). Let g be 11\/((-726)\/(-36)) - 696\/66. Calculate y(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h + 229*h - 6589 + 289 = 31*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) -0.3 (b) -4\/5 (c) 1174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12655*r - 72. What are the prime factors of y(2)?\nAnswer: 2, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 3 - 0) + (1 + 11 - 9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064 minus -122813635230?\nAnswer: 122813634166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -8 + -4 - -13 - 0) + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 + 5 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6600351691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.87 + -1.13. What is the closest to 6 in d, 0.3, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = 2 + 63 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2870, -11471, -25808, -45881?\nAnswer: -71690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 2 + (sqrt(832) - (4 + sqrt(832) + sqrt(832)) - sqrt(832)))*-1.\nAnswer: -96*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12491 - 3462. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83673 greater than or equal to -83674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-2)\/(-18)). Suppose 420 = -2*s + 3*y, -5*s - 1004 = -z*y + 7*y. Let t = 301 + s. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*2 + sqrt(68) + 5*sqrt(119)\/(sqrt(28)\/sqrt(4)))**2 - -1*-5*(1 + sqrt(2448)*2).\nAnswer: -120*sqrt(17) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -6 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1111101?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -7. Let s = 2122 + -2118. What is the greatest common divisor of s and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1961, -1960, -1973, -2012, -2089, -2216, -2405, -2668?\n\"Answer: -2*j**3 + 5*j**2 - 1964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46100 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -844 and 1.\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(891) + -1 + -4 + (sqrt(891) - (sqrt(891) - (0 + (sqrt(891) - (-2 + sqrt(891)))))) + (-1*-2*sqrt(891) - -2*(-2 + sqrt(891)))) + 0)**2.\nAnswer: -5670*sqrt(11) + 200916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**4 - 15*a**4 + 35*a + 8*a**5 + 6*a**4 wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 3*g + 16, -98*d - g + 16 = -102*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.593 times -13\nAnswer: -20.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) 2\/5 (b) -1\/4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/68 - (-21)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 1*(1 - 0). Solve 0 = 2*x + 3*z - 10, j*x - 15 = x + 3*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 7*(-34)\/(-85)*(-5)\/(-7). Solve 17*g - 12*g + 5*i + 35 = 0, i + 3 = f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -526 and 0.183.\nAnswer: -96.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11544678, -11544677, -11544676, -11544675, -11544674?\n\"Answer: y - 11544679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.91 - -2.91. Which is the closest to 3? (a) 0.4 (b) -5 (c) 1\/6 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -122293.\nAnswer: -122292.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2\/4 + 46884293*v\/4 + 15628097\/2 = 0.\nAnswer: -15628097, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*q - 466 = -100*q. Let s = q + 237. Solve -s + 6 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -ac69?\nAnswer: ac6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3815 - -3815. Let r(p) be the second derivative of 22*p + 0 - 11*p**2 + 0*p**3 + 7\/20*p**5 + h*p**4. What is the first derivative of r(d) wrt d?\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 17*k**6\/120 - 7*k**5\/30 + 20*k**2. What is the third derivative of l(h) wrt h?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0 + 3 - 2. Let l(o) = -2*o + 7. Let c = -2647 - -2653. Determine c*g(q) - l(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 182128018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/2 + 143*y\/2 + 4114 = 0 for y.\nAnswer: -44, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -349*h**6\/2 - h**4\/2 + 11989*h**2\/2 + 3065. What is the second derivative of t(j) wrt j?\nAnswer: -20940*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:09 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -418 + 415. Let t = -1.58 + -0.12. Which is the third biggest value? (a) l (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x + 7*x. Calculate the remainder when -3 + ((-14)\/(-35))\/((-1)\/(-10)) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -36*p. Let h(f) = -12*f. Let v(r) = 16*h(r) - 5*j(r). Let n(k) = -2*k. Calculate n(v(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -14*p + 4769. What are the prime factors of p?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210691920*g**2 - 365821*g?\nAnswer: 421383840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 233, 348, 463, 578, 693?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5*a - a)*(1 + 0 + 0) - 28*a + 4 + 15*a + 17*a.\nAnswer: -3*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*d*f**3*i**3 + 1430*d*f**3*i - 3*d*f*i - 437*d*i - f**2 - f*i**3 wrt f?\nAnswer: 270*d*i**3 + 8580*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l + j + 522, -5*j + 2600 = 5*l. Suppose -l*z - 14 = -523*z. Solve 0 = -4*p + z*p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1415335708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 750*(1\/(-2) + (-1 - -2)). Calculate the greatest common factor of 25 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*u = 6, -m - 4*u + 2*u - 4 = 0. What is the third derivative of 9*l + 3*l**2 - 88*l**4 - 13*l**3 - l**m + 91*l**4 wrt l?\nAnswer: 72*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1316, -4326, -9332, -16334, -25332?\n\"Answer: -998*b**2 - 16*b - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 + 490816*o**2 + 30905532*o = 0 for o.\nAnswer: -122641, -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 16046.\nAnswer: 304874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1813622 and 28138.\nAnswer: 19949842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.356 + -0.034. Round y to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24345 (base 7) in base 4?\nAnswer: 1203102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -v. Suppose 4*t + 16 = -4*t. What is the closest to t in -0.4, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.14, 1, -23?\nAnswer: -6.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5*i = 0. Suppose n - 429 = -i*n - 4*j, -2*j + 419 = n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/13, 5, 0.06, 0.063, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10742 - -4.\nAnswer: -10738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -4 + -1 + 1. Let g = 17065 + -17066. Sort g, -5, v.\nAnswer: -5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 6. Let t(q) = -8*q + 7. Let j(d) = 7*c(d) - 6*t(d). Let i(o) be the second derivative of o**4\/6 - 3*o - 3. What is j(i(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18562\/15 - -1238. Let f = g + -6\/5. Which is bigger: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:46 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71285 in -1\/6, 1\/8, -3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**5\/20 + y**4\/3 - 2*y**2 + 5*y. Let m(f) be the first derivative of v(f). Find the second derivative of m(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*146\nAnswer: -10.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + -5 + sqrt(325) + -6*4*sqrt(325)) + 5.\nAnswer: -230*sqrt(13) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5901 + -2651. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1497 + 740 + 741 + 99*c)*(3 + c - 3).\nAnswer: 99*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11321120 - 10?\nAnswer: -11321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00184 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/(-18)*4456\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*p + 122*p = -5*a - 16, 3*p = 4*a + 19. Sort a, -5, 2, 1, 102 in descending order.\nAnswer: 102, 2, 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 40. Factor 0*u - 5*u**4 + u**3 + 0 + y*u**2 + 25\/4*u**5.\nAnswer: u**3*(5*u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/7 - 18*j**2\/7 + 2*j\/7 + 18\/7 = 0?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 38. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 236*q**2 - 81.\nAnswer: -236*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19865 is divided by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*8\/(-12) - 11. Let w(k) = 2*k + 1. Let c = 1 + -3. Let t = c - -5. Let f(v) = -1. Determine l*w(p) + t*f(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffbfffffffb. Give prob of sequence bff.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((sqrt(40) - sqrt(320)\/(-1*sqrt(8)))\/(sqrt(160)\/sqrt(5)) - (sqrt(245) + 1 + 2 + -6*(sqrt(245) + 0))**2).\nAnswer: -12268 + 422*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pge when three letters picked without replacement from {p: 1, e: 1, s: 1, g: 2, r: 4, f: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**2 + 34*r - 98. Let z be o(4). Let c = -188 + z. Calculate the remainder when 163 is divided by c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473 times -132.96\nAnswer: 62890.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:59 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -476*i + 327*i + 664 - 2452 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/5963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2. Let v(f) = 2*f - 25. Let c(h) = -v(h) - z(h). Let i(l) be the first derivative of -l**3 + 118. Give c(i(u)).\nAnswer: 6*u**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5890*x**4 + 20606*x.\nAnswer: 70680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -803, -1170, -1501, -1784?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Let y be 4\/3*(3 + 3). Suppose -5*i + 19 = 2*l - 0*i, 4*i - y = 2*l. Factor 4*x + 15*x**l + 9*x - 2*x - 5*x.\nAnswer: 3*x*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 8. Let f be q(2). Suppose -4*m - 2*w + 2 = 0, -f = 4*w + 6. Solve 4\/11 - 6\/11*o + 2\/11*o**m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/54 and 125\/198.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + sqrt(363) + (-2*sqrt(363)*-2 + sqrt(363))**2 + (sqrt(36)\/(sqrt(36)\/sqrt(3)))**2*5 + 5.\nAnswer: 22*sqrt(3) + 9095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(48\/(-2)) + (-781)\/88. Let n be (20\/(-3))\/(12\/(-18)). Let j be (1 - 2)*(x + n). Which is bigger: j or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-3)\/(12\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5835362, 11670719, 17506074, 23341427, 29176778, 35012127, 40847474?\n\"Answer: -u**2 + 5835360*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -1)\/(6\/(-4)). Suppose 298 = -175*k - 64*k - 897. Put k, r, 3 in descending order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1654 and 6471275.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 47 + 19 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13010*y + 988791. What is j(76)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*((-1008)\/548)\/12. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1015 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.212.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -232.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 592d + 3c?\nAnswer: 5969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 + 3 + -3 - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:19 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 639*k**2 - 255594*k + 10464480.\nAnswer: 3*(k - 169)*(k - 48)*(k + 430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qkqqqqqk?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 2*i - 2. Let l be h(2). Let d = l + 60. Find the second derivative of -d*q**2 + 41*q**2 + 13*q - 5*q**2 wrt q.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21223 + 3?\nAnswer: -21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 13*g + 4. Solve 3*b + 8 = 5*c, c + 4 = 6*c - g*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-171)*36*7\/(-28)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5.1 times 274.8\nAnswer: -1401.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 10 = 0. Let y be (2 - 2 - o)*1. Suppose t = -y*t + 51. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32038a (base 15) to base 5.\nAnswer: 1102131210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.185 + 140.815. Let k = t - 139.79. Let f = 0.71 - k. Which is the nearest to 1? (a) f (b) -4 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-4) - 4)\/(-4). Let t = -0.2 - -0.22. Let v = 3.412 + -1.412. Which is the closest to v? (a) t (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 4*o + o + (-3*o - 2*o - o)*(1 + 1 - 5) in the form a*o + v and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/7 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.97 + 14.96990712. Round f to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152265801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -82\/35 in ascending order.\nAnswer: -4, -82\/35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s - 4*t = -44, -3*t = -4*s + 92. Suppose -s*g + 724 = -16*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 76 = 96. Let s be (l\/(-12) + (-4)\/8)*-6. Solve b + 17 = -s*x, 4 = -4*b - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42914, -0.11, -2\/3, 4 in increasing order.\nAnswer: -2\/3, -0.11, 4, 42914","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1)\/(-12))\/((-3612)\/(-43344)) - 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40024 (base 7) to base 11.\nAnswer: -7258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 932 = 217. What is the lowest common multiple of 30 and r?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36060 and 13.\nAnswer: 36073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -183*x. Let v(g) = 2*g. Give j(v(s)).\nAnswer: -366*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47843432 or 47843437?\nAnswer: 47843432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215 + -1013\/5. Which is bigger: v or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168596?\nAnswer: 2, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/347 + -12453\/4511. Is q less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 7524.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*f + 6782, z - 5*f - 506 - 872 = 0. Is z a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2681 - -0.3681. What is the third biggest value in k, 6, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/111 and -35\/17797.\nAnswer: 53391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 - 2*u**2)*(4 - 3*u - 4)*(25*u - 13*u - 18*u)*(-9 + 5*u + 0 + 7).\nAnswer: -270*u**5 + 108*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4151)\/(-14) - 3\/(-6). Let v be (1 + 0)\/(9\/o). Suppose -30*c + 283 = -47. Calculate the greatest common divisor of c and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 672 - 641. What is the remainder when 771 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-24) + -10 + (-474)\/(-48) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.69568271 and -0.3.\nAnswer: -1.99568271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180869984311 - 0.05?\nAnswer: -2180869984311.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = -2*w + 19, 2*w + 18 = 4*b. Suppose -14 = b*s + 6. Let m(l) = -l**2 - 3*l - 3. Give m(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 4)*(16 - (-1356)\/(-84)) - 110\/56?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*l - 5 = l, 5*s = -3*l - 37. Let g = 8 + s. Let 0 + 0*q + 1\/5*q**2 + 1\/5*q**4 - 2\/5*q**g = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 8*b - 0*i - 103, -b + 35721 - 35716 = -3*i for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + r + 15 - 3, 3*n + 5*r = -8. Solve n*z - 3 = -15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3 + (sqrt(475) + 0)*-2)**2 - (-2 + (sqrt(95)*3*-3)\/sqrt(5))).\nAnswer: -51*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 31287*o - 20368150 = 0.\nAnswer: -31925, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = -66 + 66 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*b - b - 12, 0 = -3*q - 4*b + 9. Let v(g) = -g**3 + 4*g**2 - g - 4. Let f be v(q). Solve 0 = 2*t + 4*l - 14, 0*t + 4*l - 2 = f*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255482 = 3*h - 5*t, -17*h + 20*h + t = 255476. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q - 4. Let w be s(5). Let n be w\/((-9)\/12 - -1). Suppose n*x = -44 + 172. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/120 + u**4\/2 - 17*u**3\/6 - 7*u**2. Let t(w) be the first derivative of r(w). Let k(d) = -d**2. Calculate t(k(o)).\nAnswer: o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4267872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 180 = -t. Let b be -2 - (-4 + (t - 4)). Let y = b - 29. What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (513\/(-912)*(-1 + -1))\/((-9)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -856755, -1714780, -2572805?\nAnswer: -3430830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -76.99993. What is m rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -1.4 (b) -0.2 (c) -178.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 5. Let p be j(3). Suppose -4*u - p = 6. Is u greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02379 + -101722568492.\nAnswer: -101722568492.02379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5910.7 + 6565.979. Let u = -656 + v. What is u rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 17*r**4\/12 + 2*r**3\/3 - 2*r**2 - 684*r. Let k(d) = 68*d**2 + 17*d - 17. What is -4*k(i) + 17*x(i)?\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 134*d - 222. Is 71 a factor of m(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -237*s**4 - 7*s**3 + s**2 - 2*s + 482*s**4 - 12 + 0*s**2 - 241*s**4 as t*s + n + h*s**4 + l*s**3 + v*s**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 4 + -1 + sqrt(10)\/sqrt(50))*-1)**2.\nAnswer: 36*sqrt(5)\/5 + 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 3*m**2\/2 + 6*m + 1768. Let f be (-3)\/((-1)\/(4\/3)). What is the units digit of d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 - 0.28. Sort 1\/2, g, -0.5 in descending order.\nAnswer: 1\/2, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {e: 3, a: 1, h: 5, i: 4, u: 5, r: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -394\nAnswer: 27\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 61 = 25. Let x = 23 - 21. What is the least common multiple of 2 and (-2*1 - x)\/(9\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409.9 + 419.9. Sort m, -2, 0.3, -2\/5.\nAnswer: -2, -2\/5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-207))\/(2345\/(-4221)))\/(6\/(-8)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -44*b - 33. Let g(r) = 16*r + 12. Let o(i) = 17*g(i) + 6*j(i). What is o(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -956 by 25.\nAnswer: -956\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - 13*r - 36*r)*(-3 - 4*r + 3)*(0 + r + 0).\nAnswer: 156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 217*c - 7. Let i(f) = -216*f + 9. Determine 4*i(b) + 5*q(b).\nAnswer: 221*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5938, -17200, -35968, -62242, -96022?\nAnswer: -137308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 362*s**3 - 5*s**2 + 23*s + 17. Let v(i) = -121*i**3 + 2*i**2 - 8*i - 6. Let u(t) = 6*b(t) + 17*v(t). Find the third derivative of u(m) wrt m.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*z**2 + 34*z**2 + 22*z**2 to the form w*z + i*z**2 + q and give i.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 + 489930*q + 8330255 = 0.\nAnswer: -17, 98003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltlldddtlldxvvdvl. Give prob of picking 3 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176968*j**2 - 88425*j**2 - 88544*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.92 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + 172*q + 5*q to y*q + h and give y.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 4*t - 160, 2*t = -5*q + 200. Let r(x) = x**3 + 38*x**2 + 7*x + 206. Let p be r(-38). What is the units digit of (624\/q)\/((-9)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 3. Let h be q(4). Let p be h\/(-2*4\/32). Let r(i) be the third derivative of i**6\/120 - i**5\/15 - i**4\/8 + i**3 + i**2. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*13)\/(20\/2*(-2)\/(-20))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2841, 11496, 25963, 46242?\n\"Answer: 2906*f**2 - 63*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = -4*g. Let q = 14 - 13. Let h be (1 - q) + g\/2. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*n + 65 = 0, -c + 30 - 5 = -n. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1526, -3527, -5528, -7529, -9530, -11531?\n\"Answer: -2001*n + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 12*h**2 - 30*h - 35. Let k be u(-11). Suppose -k*p - 1513 = -175*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 43*l**2. Let t(n) = 4*n**2. Calculate y(t(w)).\nAnswer: 688*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 588 = 3*y, 5*o + 4*y = 4*o + 208. Suppose 3*w - o - 201 = 0. Suppose 317 = 7*f - w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k - 528 - 292 + 820 - 238*k + 121*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 10371761175.\nAnswer: 10371761175.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150161038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 5*p + 2*p + 0 + 29.\nAnswer: 10*p + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503836 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: Let v(c) = 66480*c - 1263109. Determine v(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 - 2*p**4 + (2 - 2 + p)*(-1 - p**3 + 1) + (2*p**2 + 0*p**2 - 3*p**2)*(-59*p**2 - 33*p**2 - 137*p**2))*(p - 3*p + 4*p).\nAnswer: 454*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -7*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18492666*w**2 + 30161349 wrt w?\nAnswer: 36985332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + -11663*(4 - (-20)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5201 + -5198. Put -44, -5, 1, m, 0 in descending order.\nAnswer: m, 1, 0, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(210))\/sqrt(10) + 4*-2*sqrt(21))*2)\/(-1*sqrt(432)*-1*-5))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 624587656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 158529*k + 9828808. What is w(-62)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/3)\/(1\/7). Suppose 0 = 4*y - s*y + 30. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -7*q**6\/720 + q**5\/20 - q**4\/4 - 7*q. Let c(u) be the third derivative of l(u). What is the tens digit of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + q**2 - 6*q**2)*(-3 + 0 + 5) + 3*q**2 - q**2 - 3*q**2 + (1 - 4 + 1)*(0 + 0 - 2*q**2).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18\/11)*t)\/t**(6\/17)*(t**(2\/23))**(-15\/2) assuming t is positive.\nAnswer: t**(-7060\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3848*h - 92363. What is m(24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 285. Suppose -3*j = -3*n - 60, -4*j + 0*j + i = -n. Suppose 4*t = 5*t - j. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5 + 15. Let o(h) = -1151*h - 4. Let r be o(d). What is r rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzpgcqg. Give prob of sequence qc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/374 + 65183\/16830. Let w = k - 18\/5. Which is the nearest to 0.1? (a) 0.1 (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 303949 = -30*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 35*d - 3 as o*d + w and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (408750\/3)\/((-1)\/(-8)). What is o rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 9*c + 2)*(0*c**2 + 2250 - c**2 + 145*c - 2252) in the form q*c**2 + x*c**3 + z + j*c and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1262 - 1262. Let z(o) be the third derivative of 1\/6*o**4 + c*o - 1\/6*o**3 + 0 - 2*o**2. What is the first derivative of z(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6815397 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1173.951282 + -1174. What is k rounded to four dps?\nAnswer: -0.0487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 434, 869, 1304?\n\"Answer: 435*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 3*f - 3*f. Let x(i) be the second derivative of -i**3\/3 + 2*i. Let k(y) = y. Let p(h) = 5*k(h) + 3*x(h). Calculate p(d(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*q - 18 = 0, 5*q = 5*k - 13 - 17. Let c = 3508\/7 - 17519\/35. Solve -h**2 + 0 + c*h - 2\/5*h**k = 0 for h.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 - 10 - (-62 + 3 + 0 + -3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 15. Let k be 1\/(-3) - (-48)\/9. Let r(y) = -y + 12. Let m be r(8). Put k, 7, m, w in decreasing order.\nAnswer: 7, k, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*c**3*s**2 + 6*c**3*s*u - 3*c**3*u + 6*s**2*u**3 + 24*s*u**3 wrt s?\nAnswer: 352*c**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51212.\nAnswer: 2, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 60*w**2 - 165*w + 168. Calculate p(-5).\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t. Let a(c) = -415*c - 422. Give n(a(o)).\nAnswer: 2905*o + 2954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(2*j**3 - j**5 - 2*j**3) - 182*j**5 - 6479*j**3 + 6479*j**3 + (0 - 2*j**3 + 0)*(j**2 + j**2 - 3*j**2).\nAnswer: -178*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -260647 + 260648.39983. Let m = x + -1.4. Round m to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 10*c**4 + 46 + 3*c - 47 - 5*c to the form o*c + b*c**2 + f*c**3 + z*c**4 + m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -13 - ((-2)\/1 - 0). Suppose 0 = -3*a + z + 1521, -j*a + 4*z + 1533 = -z. What are the prime factors of a?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-4.5.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15645 - 187811\/12. Find the common denominator of 0 - 0 - (-243)\/12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -50*x**2 - 13*x - 33. Let f(h) = 23*h**2 + 6*h + 16. Let o(v) = 13*f(v) + 6*k(v). Let l(s) = -13*s**2. Determine l(o(w)).\nAnswer: -13*w**4 + 260*w**2 - 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + (-2)\/4. Let x be -2 - (g - 6\/10). Let q = -71 + 287\/4. Which is the closest to -0.1? (a) -3\/5 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*((z\/((z\/(z\/(z*z*z**(-1\/4)\/z)))\/z))\/z)\/z*z)*z)\/(z*z**(2\/27)))\/((z**(1\/4)\/z)\/(z*((z*(z\/z**(-4))\/z)\/z*z)\/z*z)) assuming z is positive.\nAnswer: z**(347\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 + 41658323*m**4 - 4*m**2 + 32881*m - 9453.\nAnswer: -40*m**3 + 499899876*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3858 is divided by 3848?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 9 = 3*r - 0, -4*f + 4*r + 12 = 0. Suppose -h - 4 = -f. Let d = 1210 + -1259. Put d, h, 4 in ascending order.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(152)*2)\/sqrt(4))\/(-2*sqrt(36)\/sqrt(2))*-2.\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*i + 48384 = -97*i + 71*i for i.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127454, 509806, 1147058, 2039210, 3186262, 4588214, 6245066?\nAnswer: 8156818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 108. Find the third derivative of 23 + 31 - 78 + 198*l**2 - 83*l**h + 24 wrt l.\nAnswer: -1992*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:51 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2558*h - 38369. Determine x(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*u**2 + 59*u + 80313?\nAnswer: 144*u + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 13 (c) -1 (d) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71.501441 - 71.14144047. Let v = p + -0.36. Round v to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 18118282?\nAnswer: 18118283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.26 + 1.2962. Let s = h + -0.026. What is s rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 62) + 44 - -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w - 1. Let c be k(-2). Suppose v = 2*v - c. Suppose -v*n + 11 = 2*h, h - 2*n = -3*h + 34. Calculate the greatest common divisor of h and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 18. Suppose 427 = l - y, 10*l - x*l - 2*y = 1698. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.033 - -0.033. Which is smaller: 0.5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 1314*o - 598*o - 720*o + o**2.\nAnswer: -o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12029795 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210249523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 2*a - 24 - 3*a. Suppose -3*f + 9*i + 205 = 5*i, -350 = -5*f + 5*i. Suppose f = -28*c - 9. Let q(j) = -3. Calculate c*y(v) + 24*q(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996934977.\nAnswer: 3, 23, 59, 81629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvddvddvdddhhdddd. What is prob of sequence vvh?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 53. Suppose q*h = 18*h + 140. What is the highest common divisor of h and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109046, -218118, -327204, -436310, -545442, -654606, -763808?\nAnswer: -873054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + o + 7. Let g be n(3). Suppose -20 = -2*j - 2*i, -4*i = 3*j - g - 7. Suppose 24 - 9 = j*r. Solve -r*w - 3 = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 8. Calculate the remainder when 54 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0 + 22*b**2 + 0*b + 4\/15*b**5 + 3*b**3 + 0*b**4. Differentiate v(p) wrt p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(5)) - (sqrt(75)\/sqrt(3))\/sqrt(5))**2.\nAnswer: -84*sqrt(5) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**4 - 20*y**3 + 3*y + 18. Let v(k) = -k**4 - k + 1. Let p(j) = -d(j) - 5*v(j). Find the second derivative of p(r) wrt r.\nAnswer: 36*r**2 + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*l - 10488 = -133*l + 215*l. Which is the smallest value? (a) 0 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68907652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -588 + 566a7?\nAnswer: 5611c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.19908 millennia in decades?\nAnswer: 7119.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*h**3\/5 - 322749*h**2\/5 - 2823108*h\/5 + 725949\/5 = 0. What is h?\nAnswer: -26887, -9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.89510231 rounded to 2 dps?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 - 168*k**4 + 676*k**3 + 24240*k**2 + 40144*k - 64896 = 0.\nAnswer: -8, -3, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 9*a - 11. Calculate r(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2504*z**2 - 510*z = 0. What is z?\nAnswer: 0, 255\/1252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 7*l + 8 = -2*v, -l + 2*v = 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 322 = q, 0*z = 2*q + z - 679. Suppose 23*k - 29*k = -q. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118466 to the nearest one thousand.\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1541*p - 1540*p - 7008 = -3154*p for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13204, -13208, -13212?\nAnswer: -13216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295168 is divided by 3305.\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/((-182)\/126).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 32, -3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 54 - 142. Suppose 0 = b - 52 + 6. Calculate the remainder when s is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + -2 - (3 - -18).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*t - 108*t + 134. Let k = -23 + 25. Suppose 4*v + 5*w + 42 = t, k*w - 92 = -4*v. What is the least common multiple of 4 and v?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -29*n. Let x(b) be the first derivative of -b**2\/2 + 71. Give y(x(l)).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let s(l) = 99*l + 1. Let q(r) = 2*j(r) + s(r). Let b be q(1). Suppose b = -0*h + 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.08 (c) 2\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2\/2 - 33*r + 132132 = 0?\nAnswer: -308, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 369*j**2 - 6*j - 16. Let w(u) = -73*u**2 + u + 3. What is 6*i(z) + 33*w(z)?\nAnswer: -195*z**2 - 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144331259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -35, -60, -93, -134?\n\"Answer: -4*z**2 - 5*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, t: 5, e: 1}. What is prob of picking 2 d and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-72)\/16)\/((-2)\/4) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 53. Let k = z - -22. Let q = 0.21 + -0.35. Which is the third smallest value? (a) 1\/4 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 0, 1830 = o - z - 2214. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnvfnwnnvvtnfftwvn. What is prob of picking 1 n and 1 f?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*t + 5*d + 21, -4*d = 2*t + 44. Let a be (1 - t) + -7 + 6. Calculate the greatest common divisor of a and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349490047458.0819917 - -349488598680.02. Let n = u + 1448778. Let p = n + 0.062. What is p rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, m: 2}. What is prob of picking 2 m and 1 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 5*d - 3. Let o be b(-1). Solve 3*p = -6, -s - 4*p = o + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z + 15*z - 249 = 0. Solve -3*v = 3*a, -z*a = -6*a + v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120642 divided by -6?\nAnswer: -20107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854074.\nAnswer: 2, 13, 107, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) -0.3 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1881.\nAnswer: -5\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + y + 1. Let b be s(2). Let h be b - (3 + -4)*2. Find x, given that h + 3\/2*x**2 - 5\/2*x = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92671 or 12139725\/131?\nAnswer: 12139725\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a - 13*a + 25*a in the form h*a + p and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -4*h - 301. What is the highest common factor of 43 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 69\/(12\/(-4)))*-1. Let y(f) = -f + 3*f + 70*f**2 + 14*f**2 + 2. Let w be y(-1). What is the greatest common divisor of w and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -22, -12, -2, 8?\n\"Answer: 10*o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211554 and 2361870.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.019328 millimeters?\nAnswer: 4019328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 902\/2983 + -64\/157. Which is the fifth biggest value? (a) l (b) -1\/2 (c) 0 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*h + 6*h - 8*h + h + 1 - 1 + (h - 2*h + 0*h)*(-2 + 2 - 2) + 6*h - 6 + 10 - 5.\nAnswer: 21*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -204. Is n a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 u when three letters picked without replacement from {v: 2, u: 5, j: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*o + 180*o - 33*o - 43*o - 43*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7370 divided by 1\nAnswer: 7370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z = 98*z + 45*z - 6014 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 = 2*z - 0*z, -3*b = 5*z - 36. Calculate the remainder when 8 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -4*p - 107*m + 108*m, m - 156 = -6*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855 - -852. Put r, 0, 2 in ascending order.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + 10. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 10*r + 17. Determine g(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 433\nAnswer: -4.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/d)\/(((d\/d**(-4\/9))\/d)\/d)*d*d*d\/(d\/(d\/d**(-1\/5)))*d*d**(2\/5)*d assuming d is positive.\nAnswer: d**(259\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/10))\/(b\/b**(-2)*b))\/((b*b\/(b**6\/b*b))\/(b**4\/b*b*b)))\/(b**(-1\/5)*b**(-2\/9))**12 assuming b is positive.\nAnswer: b**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/5 and 33\/169.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5539, -11065, -16569, -22051, -27511?\nAnswer: -32949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 24 = -c. Suppose -a = -5*u + 78, -5*a = c*u + 276 + 56. Let j = -44 - a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 - 2*g + 6. Let r(z) = -2*z - 6 + 3*z + 0*z + z. Let l be r(6). Calculate i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 14*z**2 + 10*z - 31. Let c be n(-14). Let u be 2\/(-1)*(c\/2)\/9. Let l(i) = u*i + 18*i - 45*i. Let d(y) = y**2. Determine d(l(t)).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 9525, 2, -8 in descending order.\nAnswer: 9525, 2, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8673 divided by 52075\nAnswer: 8673\/52075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5))\/(((-342)\/75)\/38) + 4\/(-2). Let 0 + 212\/5*o**2 + 26\/5*o**x + 32\/5*o = 0. What is o?\nAnswer: -8, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 252*y - 7. Let n be t(4). Suppose -7*f = -3*f - b - n, 4*f - 995 = 3*b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16810 and 11223340.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147884 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -r. Let n(z) = 2*z + 11. Let d be n(r). Suppose d*w = w + 150. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 + a**2 - a + 2 + 6253*a**4 + a**2 - 6255*a**4 to g*a**2 + u*a**4 + m*a + b + p*a**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -17562*((-594)\/(-132))\/(6\/(-1*2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:30 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f - 2)*(-f + 4*f - 4*f) + 488*f**2 - 316600*f + 316600*f.\nAnswer: 490*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/20 - 4\/(-10). Let i = -3 - n. Suppose 5*j - 4*p - i = 0, -j - 5*p = -6*j. Solve -j*f - 4 = -3*c, -3*c + 36 = 4*f + 2*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -5 (d) -0.023234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 - 177. What is the remainder when q is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -73, -97, -141, -211, -313?\n\"Answer: -y**3 - y**2 - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 - 87*c + 8. Let a be y(-8). Let r be -2 - -1 - 14\/(-8). Factor a - 1\/4*i**3 + r*i**4 + 1\/4*i - 3\/4*i**2.\nAnswer: i*(i - 1)*(i + 1)*(3*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -753 - -782. Which is smaller: 2\/15 or v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 20*m - 53. What is the remainder when 43 is divided by d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 8*b - 3. Let s be n(7). Solve s*l - 3*l - y - 1 = 0, 4*y = 2*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12645 divided by 4215\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - (-8)\/3. Suppose t*x - 1 = -4. Let c = 3 - x. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727\/1251 + -19\/139. Solve 8\/9*p + 2\/9*p**5 - 2\/3*p**3 + d*p**4 + 0 - 8\/9*p**2 = 0 for p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 356*x**2. Let j(a) = -1147*a. What is r(j(l))?\nAnswer: 468356804*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 11*p**2 - 16*p + 21. Let f be l(-12). Let t = f + -69. Let m = 1\/56 + -43\/56. Which is the fourth biggest value? (a) 5 (b) m (c) t (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**3*u**3 + j**3 - 110*j*u - 17*u**4 wrt u?\nAnswer: -24*j**3*u - 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 85. Suppose -x = -4*o + 6. Calculate the remainder when 21 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 13*g**2 - 15*g - 7. Let m be j(-14). Let d(f) = 2*f**3 + 13*f**2 - 47*f - 14. What are the prime factors of d(m)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 1, j: 2, m: 7}. Give prob of sequence mi.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -160. Let x = -63.9993 - z. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -14) + -31 - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 4, w: 1, t: 5, r: 9}. What is prob of picking 1 r and 1 t?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 87*v**2 + 3*v + 11. Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/7)\/(-1))\/((-312)\/1008*24)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/5, 1.2, -920860, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*6.8.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-5 - ((0 - 3) + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 92340*q + 2131668900.\nAnswer: (q - 46170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306596 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76) + 4 - sqrt(76)*2*2) + (sqrt(190)*-3*-5 - sqrt(190))\/(sqrt(810) - (sqrt(810) - 2*sqrt(810))).\nAnswer: -47*sqrt(19)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6546 and 31?\nAnswer: 202926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2. Let d(b) = -1 + 1 + 7*b**2 + 6*b**2. Calculate z(d(x)).\nAnswer: 507*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:46 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43277885*k**5 - 64*k**2 + 199809*k?\nAnswer: -2596673100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/126*(-60)\/60?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*f - 5, 28*a + 7 = f + 31*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 40*q. Let c(j) = -219287*j. Calculate n(c(x)).\nAnswer: -8771480*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -587*j**5 - 2053*j**2.\nAnswer: -35220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*2 - (sqrt(153) - ((sqrt(153) + sqrt(153)*-2*-1 + sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153))))\/(sqrt(81)\/(sqrt(45)\/(-1*sqrt(5)))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyjyyyyjyjyj. What is prob of picking 2 j and 1 y?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Solve o + 5 = -5*u - 4*t, u - 3*t + 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -410, -615?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68170283 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 5, 0, 1 in decreasing order.\nAnswer: 5, 2, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 2 - (-636 - -612).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847273699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6104697 - -61404697. What is y rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -948739 (base 10) to base 8\nAnswer: -3475003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -11*r**4\/4 - 5*r**3 + 37*r**2\/4 - 3*r\/2 = 0.\nAnswer: -3, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12 and -13\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28108*g**4*i + 3593*g**3*i**3 + 152161857*g**2*i**3 - g**2*i wrt g?\nAnswer: 674592*g*i + 21558*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -470\/171 - -48\/19. Which is the closest to -0.5? (a) p (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*k - 5*w, 5*w + 19 = 4*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7269 + 7374. Calculate the remainder when 381 is divided by y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33, 158, 365, 654, 1025, 1478?\n\"Answer: 41*r**2 + 2*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4\/18 - (-50)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-8\/5)*(i*i*i\/(i**(1\/2)\/i)*i*i)**(6\/13) assuming i is positive.\nAnswer: i**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4057690*o**2 - 81536*o - 2048\/5.\nAnswer: -2*(3185*o + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -0.3 (c) 3 (d) 1.11 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57498, 57492, 57482, 57468, 57450?\nAnswer: 57428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -99004.205 - -77\nAnswer: -98927.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10606, 10592, 10484, 10234, 9794?\n\"Answer: -8*x**3 + x**2 + 39*x + 10574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588*-4.9.\nAnswer: 2881.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0022 + -0.3978. Which is the third smallest value? (a) 2 (b) -8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 63*d + 410. Calculate n(8).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1363 (b) 4\/15 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + 5 + -12 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81010490 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*88\/11*7\/2562.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10405 (base 6) in base 14?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5931095 to the power of 1\/2, to the nearest integer?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7809753 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l + 82676*l**2 - 120*l - 82679*l**2 - 111 = 0.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -271. Let a = -175 - h. What is the remainder when a is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5165628 and 24106264?\nAnswer: 72318792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.899794. Round s to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22048 and 8215.3076?\nAnswer: 30263.3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvnnnvvvvxvvv. What is prob of picking 1 x, 1 v, and 1 n?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 2341318156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {z: 2, v: 1, j: 3, t: 1, k: 3, g: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1144)\/12*9\/2. Let a = y + 785. What are the prime factors of a?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-17*c**4 - 34*c**4 + 37*c**4) + (3*c**3 - 3*c**3 + c**3)*(-c + 1 - 1).\nAnswer: -43*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/86*(-36)\/(-27).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**8\/560 - 3*w**7\/280 - w**6\/30 - 23*w**3\/3 + 4. Let h(c) be the third derivative of v(c). Factor h(d).\nAnswer: 3*d**2*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 2) + (-70 - -67).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 263 = x + 3*q, -5*x + 1344 = -4*q. Suppose -4*g = 4*o - x, 290 = 5*o - 9*g + 5*g. Let c(p) = 62 - 3*p - o. Let f(y) = -8*y**2. What is c(f(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 - 2*d**3 + 0*d**3)*(-4 + 4*d + 4) - d - d**4 + d + (6*d**3 + 1 - 1)*(-d + 0*d - d) as t*d + c*d**3 + g + s*d**2 + v*d**4 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2066768 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*x - 6651 - 6968 = -3155 for x.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzqtajkza. What is prob of picking 1 z, 1 q, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 12*t**2 - 19*t - 1. Let m be f(-13). Suppose m = -5*b - 3*o - 103, 4*b = -o - 151. Put b, -0.3, 2\/5 in increasing order.\nAnswer: b, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38048 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w + 4*w. Let p = w - 2. Differentiate -1 + p + 3 + x**2 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 526.696 - -0.304. Let q = -526.999603 + f. Round q to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*g = 2, -21 + 1 = -5*g. Suppose 14 = t*z - 11, -4*f + 4*z + 220 = 0. What is the greatest common divisor of f and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from looloooool. Give prob of picking 4 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513040584.\nAnswer: 2, 11, 61, 89, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2239 + 2239. What is the nearest to -2 in -1, 1, l, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5946360 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 10*w**2 + w - 1. Let n be j(10). Suppose g + 4*v = -2, -4*g + g + 16 = v. What are the prime factors of 3*1*(n - g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-1)\/4). Let x(d) = d**2 - d**2 + 6*d**s. Let q(y) = -15*y**2 + 4*y**2 + 12*y**2. Determine q(x(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 9*m + 19. Give a(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183786545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78715571?\nAnswer: 11, 7155961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/89, 7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 - 477 = -9*o. Solve -5*z = 4*g + 13, -2*g - 2*g = o*z + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(25*5\/(-15)))\/((-762)\/(-508))\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeseseekss. Give prob of picking 1 k and 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 105506000 to the nearest one million.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 223 + 593 = 0. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**5 + 153*w**4 + 965*w**3 - 2403*w**2 + 1277*w. Let j(m) = -m**5 + m**4 - m**2 - m. Let u(k) = -3*j(k) + l(k). Factor u(g).\nAnswer: 5*g*(g - 1)**2*(g + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0547, 3\/5, 6\/24209 in ascending order.\nAnswer: 6\/24209, 0.0547, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8*v)\/(v\/(v*v**11)))\/((v**7\/v)\/(v**(-1\/21)*v)) assuming v is positive.\nAnswer: v**(314\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*(sqrt(252) - 4*sqrt(252)) - sqrt(252) - sqrt(252))\/(sqrt(4) - (sqrt(4) + (sqrt(432)\/sqrt(9) + sqrt(48))\/sqrt(12))))**2.\nAnswer: 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 + 727537038*c - 44109178471817787 = 0.\nAnswer: 121256173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 14) + 20 + -10 + -22.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 4)*(19*y + 3*y + 0*y) + (3 + 0 - 5)*(2 - 2 - 2*y))*(1 - 1 - 6*y).\nAnswer: -684*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130894 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 + 66368308*p + 66368304 = 0 for p.\nAnswer: -16592076, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 - l**2 - 2*l**2 + (-l - 4 + 4)*(-2*l + 2*l - 2*l) + (-2*l + 0*l + 3*l)*(-6 + 8 + 18)*(-2*l - 11*l + 12*l) as c + p*l**2 + d*l and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*s = -50, -n + 35*s - 38*s = 30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 4*k, 8 = 4*k - 0*k + 2*q. Suppose 0 = 2*w + w - 48. Let d = -14 + w. Solve 0 = d*z - z - 4, -4*a + k*z - 16 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 (base 7) in base 9?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1395110*m**2 - 2*m + 2215639.\nAnswer: -2790220*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-14)*x**(6\/11) assuming x is positive.\nAnswer: x**(171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/20 + (-62)\/20)\/(2006\/(-2655)). Find c such that -16\/17*c**2 + j + 54\/17*c - 10\/17*c**3 = 0.\nAnswer: -3, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2246805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116408406 to the power of 1\/2, to the nearest integer?\nAnswer: 10789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjj. What is prob of sequence jp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002327799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2465*s**5 - 2475*s**4 + 867670*s**3 - 5547660*s**2 + 9088120*s + 36960 = 0.\nAnswer: -22, -2\/493, 3, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 3?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 518364497 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419776 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 3*i**2 + 1. Let w(g) = -9*g**3 + 12*g**2 - 268*g - 7. Let f(u) = -7*n(u) - w(u). What is the second derivative of f(j) wrt j?\nAnswer: 12*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {y: 2, c: 4, f: 2, v: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-4)\/12)*9\/2. Solve 2 = 2*r - 5*k, -2*r - c*k = r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183 - 1469*p + 176 + 37 wrt p.\nAnswer: -1469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 78*f + 3. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -1\/66*q**4 + 0*q**2 - 1\/33*q**3 + 4*q + 1\/110*q**5 + 0 + 1\/165*q**6. Factor u(p).\nAnswer: 2*p*(p - 1)*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3867*-0.02.\nAnswer: 77.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -52, -4 in descending order.\nAnswer: -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/6, -9\/5, 6\/5, 10.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56444 and 618.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + (33 - 40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(228) - (sqrt(228) + (-1*sqrt(228)*1 - sqrt(228))))\/(2*-5*1*sqrt(768)).\nAnswer: -13*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-1 - (-9 + 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1378c8 (base 15) to base 12.\nAnswer: 3921bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.2369 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50554 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:58 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 16) to base 2.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/28 + ((-138)\/(-126) - 1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 - 2.399979. What is v rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 167*r = 247*r + 23782 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3884.732 to the nearest integer.\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (36\/1230*41)\/((4\/40)\/1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.1. Let s = 127 + -132. Which is the third smallest value? (a) 2 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(3*1\/(-15)). Let y be (9\/15)\/((-3)\/h). Suppose 20 = 6*i - 2*i + 4*b, b = y. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 less than -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 2 - 11*d**2 + 8*d - d**3 + 11*d - 9*d. Let n be c(-12). What is the units digit of ((-22)\/33)\/(n\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from sjsjjsjjjjjjjjsjjj?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = b - 5*z, 19*b + 5*z = 21*b - 4. Let l = -83 + 121. Let q = l - b. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2388*u**5 - 49*u**2 + 254421*u?\nAnswer: 47760*u**3 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315393 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = 3*c, 3*a = 12*c - 15*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 6458*z**2 + 103712*z + 415360.\nAnswer: -2*(z - 3245)*(z + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 424181?\nAnswer: 424151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 1. Let o(j) = 88*j**2 - 77. Let l(n) = 154*b(n) - 2*o(n). Let v(m) = 2*m. Calculate l(v(x)).\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-36) - (-304)\/6. Let g = -35 + y. Suppose 28 - 12 = 5*n + 4*x, 4*x = g. Solve -c + 7 = -5*d - 13, -5*c + 25 = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804918293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {x: 5, r: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 755\/14238 - -2\/791. Find the common denominator of g and 2*(57\/(-44) + 2).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 906 * -13233.\nAnswer: -11989098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/4 + 728*r**3 - 2225625*r**2\/2 - 2227808*r - 4457071\/4 = 0?\nAnswer: -4019, -1, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + q**3)*(-3*q + 12*q + 3*q) + 11*q**4 - 2*q**4 + q**4 to the form g*q**4 + j*q + v*q**3 + s + f*q**2 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 119\/(-21) - 2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25861, -25860, -25859, -25858, -25857, -25856?\nAnswer: -25855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjldj. Give prob of sequence dl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7875, -31546, -71013, -126276, -197335?\nAnswer: -284190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 11. Let c = 4155 + -4160. What is the closest to r in c, 0, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1. Let j(v) = -20 + v - 2 + v. Let o be (-4)\/(-4)*-5 - -49. Let w(p) = o*h(p) + 2*j(p). Let x(g) = 2*g. Calculate x(w(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -13066 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*q + 3582 - 495, -6*a - 3*q + 6195 = 0. Calculate the greatest common divisor of a and 752.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650509 is divided by 342?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -42, -72, -118, -186, -282, -412?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/11, 540, 6, -0.3, 9.2.\nAnswer: -0.3, -0.1, -1\/11, 6, 9.2, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p - 3*h + 129, 4*h - 25 + 93 = 3*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -39. Let d = l + 27. Suppose -3*p = -d, 4*z - 4*p - 29 = 11. What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 234*i**2 - 1 - 97*i + 453*i**2 - 218*i**2 as d*i + q + o*i**2 + w*i**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**24\/d)\/(d**(-8)*d*d))**(-2\/19))**(9\/4) assuming d is positive.\nAnswer: d**(-261\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581126086 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**4 - 35*x**3 - 193*x - 19251 wrt x?\nAnswer: 4*x**3 - 105*x**2 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x**4 - 3708*x**3 - 30*x**2 + 11324*x + 7581 = 0.\nAnswer: -1, 133\/65, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 + 33*f**3\/4 - 31*f**2\/4 - 33*f\/4 + 8.\nAnswer: -(f - 32)*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 141*z**3 - 27*z**2 - 109*z + 2. Let i(s) = -71*s**3 + 12*s**2 + 49*s - 1. What is 9*i(t) + 4*k(t)?\nAnswer: -75*t**3 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 2. Suppose -3*c = 5*k + c - 156, n*c = -2*k + 61. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3 + 3 - 104*w**4 + 104*w**4 + w**5. What is the third derivative of q(y) wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34796228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15237817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1028*q - 9. Let h(o) = -511*o + 4. Determine -9*h(v) - 4*z(v).\nAnswer: 487*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160629, -160487, -160241, -159885, -159413, -158819?\nAnswer: -158097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(230\/(161\/7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 23*b + 47. Let w be l(21). Suppose 6*t = z + 7*t - 220, 0 = -w*z + t + 1112. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (13 - 16) - 3 - -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3)\/(2\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1.7, -4.4.\nAnswer: -4.4, 0.3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3099 + -3099.5. Sort -140, -5, h.\nAnswer: -140, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*n**2 - 652*n**2 + 185*n**2.\nAnswer: -254*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -66 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b + 16*b + 4*b as d + n*b and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-7))*f**(-2\/11))**22)**(1\/4) assuming f is positive.\nAnswer: f**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtenttntetttttxx. What is prob of picking 3 t and 1 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -142*i - 29*i + 53*i as a + z*i and give z.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 35 - 57. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klc when three letters picked without replacement from {l: 2, k: 1, z: 5, c: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164708227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 681611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(153))*3 + -1 + 3))**2.\nAnswer: 810*sqrt(17) + 12618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*f + 639 = 351*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21713.000053698 - -21713. Round b to 7 dps.\nAnswer: -0.0000537","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793.92109 rounded to one decimal place?\nAnswer: -793.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/3*-39*(-76)\/1729?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + v**2 + 0*v**2 + (3 + 2*v - 3)*(-v - v + 3*v) + 2*v**2 + 0*v**2 + 0*v**2 + (0*v - v - 2*v)*(-v + 4*v + v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 156, 233, 308, 381, 452, 521?\n\"Answer: -y**2 + 82*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 319*(-18)\/1584*8\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.854 - -0.546. Let r = k + -26.5. Which is the nearest to r? (a) -5 (b) -1 (c) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.3 + -24.2. Let b = l - 18.905. What is b rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/3380 and -63\/39208.\nAnswer: 196040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23307*3195\nAnswer: 74465865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p**2 + 8*p - 6. Let q(x) = 31*x**2 - 24*x + 17. Calculate -11*h(u) - 4*q(u).\nAnswer: -3*u**2 + 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228238.54 - -2?\nAnswer: 2228240.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -100601?\nAnswer: -503005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.19 - -0.19. Let x = -12 - l. Let s be (-2)\/2 + 3\/5. Which is the nearest to 0? (a) x (b) s (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -99 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -0.3?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - 11*q**2 - 6*q + 6. Let p(c) = -c**3 + c**2 + c - 1. Let u be -11 - (-1 + -10 + 6). Give u*p(m) - a(m).\nAnswer: m**3 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + 73*x + 233. Let p be k(-3). Which is the third biggest value? (a) -0.3 (b) p (c) -1615\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 5. Let k(w) = -9*w - 6. Let q(o) = -5*k(o) + 6*n(o). Let g(x) = -21*x + 6. Give q(g(h)).\nAnswer: -63*h + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2042, -4075, -6098, -8105, -10090?\nAnswer: -12047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4339 - -4339.10708. Let i = x - 0.099. What is i rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1323 - -1331. Solve -k - q = -3*k - o, -2*k - q - 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/108 and 3800\/96*(-6)\/(-20).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:10 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3540*h - 123167 = -406367 for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27268*o - 4 = -27269*o. Suppose -13*b = -12*b - 180. What is the lowest common multiple of b and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 51 = 165. Let j = y - -59. Suppose 5*i - 1959 = -u, -3*u + 447 = -j*i - 5396. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 3*w + 6. Let t(v) = -v**2 - 3*v - 5. Let d be 4 + (-238)\/(-56) - (-5)\/(-4). Suppose -3*o + 24 = 2*z, -z - 10 = -2*o - 1. Give d*t(c) + o*m(c).\nAnswer: -c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 4*v**2 - 17*v + 17. Let z(m) = 3*m - 6. Determine -4*p(i) + 11*z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u**3 + 123*u**3 - 50*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/84 - 23*q**3\/42 + 11*q**2\/7 + 376*q + 2. Solve c(o) = 0 for o.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121101202010112 - 11?\nAnswer: -10121101202010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -171358 and 997222.\nAnswer: 825864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35312730 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/182314 and -41\/215462.\nAnswer: 2370082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -250008 - 79\nAnswer: -250087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/((-8)\/40). Suppose d*x - 4 = -6*i + 3*i, -i = -3. Let m be -3 - -2 - (x + -4). Solve m - 9 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2173 divided by 41\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 17\/62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4823*h - 4117*h - 2 + 228*h.\nAnswer: -8712*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*v + 2*w, 2*v = w + 40 - 9. Let i(y) = -9*y + v*y - 13*y. Let o(g) = 2*g. Give i(o(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a70 - -66?\nAnswer: -a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12)\/(-3) + -2*(-2 - 5158)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0730813 rounded to three decimal places?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 193747*x - 12. Let s be l(-4). What is s rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:02 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let n = -32 - -35. Let t be n\/5 + (-513)\/(-95). What is the highest common factor of t and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9693.747l to millilitres.\nAnswer: 9693747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 136181927.14 to the nearest 10000.\nAnswer: 136180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 103 = -5*d - 53, 2*i - 5*d = -35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {t: 4, u: 8, b: 2, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3528050*c. Calculate j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 821 by -1.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 21*h - 10 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + r)*(0 + 5 - 3 + (-2 + 0 + 3)*(5 - 6 + 0))*(20*r - 12*r + 8*r + (0 + 0 + 1)*(-r + 0*r + 0*r)) to the form m*r**2 + g*r + b and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/28)\/((-2)\/(-14)). Let r(i) = -12 - k*i**2 + 12. Let s(m) = 0*m + 0*m + 2*m**2. What is s(r(u))?\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - 4. Calculate the common denominator of 29\/9 and 1758\/72 - j\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.005, -15\/2, 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 70.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 3. Let f = 81.2 - 73. Let o = f - t. Which is the nearest to -2? (a) -2\/3 (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.028 + 0.528. Let n(s) = -s + 4. Let q be n(3). Sort q, -0.02, p in decreasing order.\nAnswer: q, p, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s - 1\/3*s**3 + 1\/2*s**2 + 7. Solve r(b) = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3*l - a**3 + a**2 - 23195*a*l - 254*a + 53 wrt l.\nAnswer: 3*a**3 - 23195*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2*r - 40. Let t = 3 + r. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6000373.2 from 8.\nAnswer: -6000365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 9:25 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2)*r*r)*r*r\/r**(-1))\/(r\/(r*r*r**(-2)*r*r*r))**(-9\/7) assuming r is positive.\nAnswer: r**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 426*p**2 + 1702*p - 12. Let j be d(-4). What is the nearest to -7 in 4, -0.1, -8, j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 29 + 2*i**4 - i**2 - 18 - 2*i - 10 - 15 + 6*i as l*i + u + n*i**2 + z*i**4 + s*i**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204465 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.063 and 100.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12077 is divided by 285.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -7, -2, 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65166553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/((-3690)\/60)*4\/76?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.1, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let z = -0.246 - -116.246. Let i = -115.8 + z. Which is the nearest to d? (a) -0.3 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10071, 10046, 10007, 9954, 9887, 9806, 9711?\nAnswer: 9602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -48*l - 329. Determine x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let b be (r + 28)\/(3\/2). Suppose h = 2*h - b. What is the greatest common factor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.47*2.89\nAnswer: -30.2583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9867 divided by -39.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -692, -1040, -1388, -1736?\nAnswer: -2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 2, h: 1, j: 1, g: 1, w: 2}. What is prob of sequence yy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*r - 2*t + t + 15 = -934*r, -2*r = 7*t + 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence err when three letters picked without replacement from {r: 6, e: 1, k: 3, z: 1, i: 4, c: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*(2*sqrt(450) - sqrt(450)))\/(sqrt(90)*-1))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33300010 (base 5) to base 13.\nAnswer: -a2392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -i - 4*v - 62, -5*i - 7*v + 35 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51363833 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11379616, -11379603, -11379580, -11379547, -11379504, -11379451, -11379388?\n\"Answer: 5*a**2 - 2*a - 11379619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u. Let l(f) = -f**3 + 8*f**2 - 7*f. Let v(n) = 2*l(n) + 18*r(n). Factor v(j).\nAnswer: -2*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-72)\/42)\/((-4)\/14). Let j(h) = 0 - 5*h**2 - m - 6*h - 14*h**3 + 15*h**3. Determine j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -1\/150*r**5 - 1\/60*r**4 + 3*r + 3\/2*r**2 + 0*r**3 + 0. Let c(w) be the first derivative of z(w). Factor c(y).\nAnswer: -2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 628*g**2\/3 - 19210*g\/3 - 6612.\nAnswer: 2*(g - 29)*(g + 1)*(g + 342)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 8631?\nAnswer: -138096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 19*k**2 + 36*k - 25. Let z be (60 + -62)*17\/(-2). Let o be w(z). Solve -12*l = -o*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 57?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and -209.18.\nAnswer: -174.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*a + 4*p, a + 9 = 2*a + 2*p. Suppose 4*b = 4*v - 8, 0*v - 4*v + 15 = a*b. Let i = -10 + 16. Solve -g - i = -v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n + 7*n - 329289 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172241389, -172241391, -172241393, -172241395?\nAnswer: -172241397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + (5 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -74?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = 0, -i - i + 2 = 2*u. Let b be 2255\/(-25) - i\/(-5). List the prime factors of (-14)\/(-7)*((-2)\/(-2) - b).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvktikmkimtvm. What is prob of sequence mkv?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 558064 and 558050 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1102 + 5?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3 - 15. Suppose m*r - 7*r = 14. Put 0.4, -2, r in ascending order.\nAnswer: -2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-6)\/20*(-14)\/(-7). Solve 0 = -o*v + b + 6 - 16, -3*v - 3*b = 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308275 and 1109790?\nAnswer: 5548950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486217 and 3463813?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61660, 61414, 61166, 60916, 60664?\nAnswer: 60410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*h**2 + 16 + 2*h + 0*h + 0*h + 16*h**2 to the form g*h**2 + i*h + m and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 132 (c) 4.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**2\/2 - m. Let w(p) = -p**2 + 2*p - 3. Suppose -16 = 3*y - 13*y - 6. What is y*w(a) + 5*u(a)?\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.023 - 7.977. Which is the nearest to 0.1? (a) s (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4, 0.2, -1.448, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200326 and 856.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h - 10. Let i be b(-5). Suppose 19 = i*y - 1. Is 40 a factor of (-714)\/(-9) + y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19*j**2. Let k(t) = -77*t**2 - t + 2. Calculate 2*k(o) + 9*z(o).\nAnswer: 17*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*y**2 - 47*y**2 + 93*y**2 + 1 as u*y**2 + p*y + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72320 and 9280?\nAnswer: 2097280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -4, -0.057, 1.8, -1\/4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253481741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -482281 bigger than -482280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*f + 111 = -920*f - 978*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 - 48*c**3 + 204*c**2 - 272*c + 114 = 0.\nAnswer: 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 28*d - 26*d. Calculate the remainder when 6 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394874 is divided by 163?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3.18, 39, -2\/3, -0.4.\nAnswer: -3, -2\/3, -0.4, 3.18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330 is divided by 801.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 3. Let t be o(0). Solve 0 = f + 1 + t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588936 and 53?\nAnswer: 588936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -103.\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 28 = -r, -2*r + z + 86 = 5*z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 + 844*m**3 + 72598*m**2 - 73444*m = 0?\nAnswer: -301, -122, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.7, 3, -22, -0.2, -6, 0.32 in decreasing order.\nAnswer: 11.7, 3, 0.32, -0.2, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1897918477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042409.\nAnswer: 3, 680803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -88032 + 934050\nAnswer: 846018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 21\/10 (b) -4 (c) -16\/211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbrrnbovnvvnrnn. What is prob of sequence brob?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/45 + -12\/5. Suppose 0 = 9*k - 18 + 9. Let l be (k*-1)\/(8 + (-1 - 8)). Is l greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 2*b**2 + 2*b + 8. Let g(m) = -m**2 + 1. What is -2*g(w) + j(w)?\nAnswer: 3*w**3 + 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 2367 + 4398. Let o be q\/6*(2 + 0). Calculate the highest common factor of o and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + 3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(4*p - 2*p + 2*p - 9*p + p + 4*p + (4 - 1 - 1)*(0*p - 2*p + 3*p) + p - 5*p + 5*p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 4*t + 4*r + 81, -t - 7*r = -8*r - 5*r - 436 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299199953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 8*c - 7. Let u be t(7). Let p be ((-2)\/4)\/(1\/(-6)). Find l, given that u - 2\/9*l - 2\/9*l**p + 4\/9*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, i: 2, l: 3, m: 8}. Give prob of picking 2 l and 1 p.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 140*i. Let j(n) = 4*n - 9. Let v(l) = -3*l + 6. Let y(g) = 8*j(g) + 12*v(g). Calculate y(m(k)).\nAnswer: -560*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8225 + 8271. Solve a*t + 420 = 98 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*3*4\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 3*j - 7. Let p(q) = -38*q**2 - 13*q + 30. What is 9*n(u) + 2*p(u)?\nAnswer: 5*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106199 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -52 + 18*u + 36 - 75 - 81. What is the lowest common multiple of t(10) and 983?\nAnswer: 7864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -531*t**4 + 7646*t**3\/3 + 2729. What is the third derivative of v(c) wrt c?\nAnswer: -12744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409074 > 26589786\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 8.1 (b) 1\/4 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218765902 to the power of 1\/2, to the nearest integer?\nAnswer: 14791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30112203 (base 5) in base 7?\nAnswer: 2012061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2 (c) 0.2 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 18\/13 (b) -36 (c) -0.05 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -0*l. Suppose -4*c + 20 = -0*c. What is the smallest common multiple of l and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7)**23*(r**(8\/5)\/r)\/(r*r**(-2\/13)))**(-27) assuming r is positive.\nAnswer: r**(-282123\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13659*p = -13657*p - 2*k - 3*k - 33, 2*p - 2*k - 34 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 2 v when four letters picked without replacement from yvyvaayavvvyyaayayya?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 71*g + 438750 = 0. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 19*n. Let r(k) = k. What is r(j(a))?\nAnswer: -3*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (1 + 62)) + -3 + 34 + -16 + -18\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32707060 divided by 4.\nAnswer: -8176765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12379193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:55 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 127*u**3 + 6 + 8*u**2 - 128*u**3 + u. List the prime factors of r(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -120?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5868, -65 in decreasing order.\nAnswer: -3, -65, -5868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {c: 1, i: 4, h: 2, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*b**4*x**2 - 2*b**4 - 393*x**2 wrt b.\nAnswer: -336*b**3*x**2 - 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*n + 52, 0*n + n = y + 14. Let b(p) = -p**3 - 29*p + 9*p**2 + 0*p**3 + 23*p - 15. Determine b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*6*4.\nAnswer: 24 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058646 to seven dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.056 or 2\/13?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9510456 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -151. Solve -l = 4*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 9 (c) -2\/5 (d) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/60 - 11*r**4\/24 + 31*r**3\/6 - r**2 - 154. Determine s(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 2*w. Let a be q(4). Let f = 7 - a. Let m(i) = -i**3 - 18*i**2 - 23*i - 97. Let b be m(-17). What is the greatest common factor of f and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-1*(-27)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1326 and 23556?\nAnswer: 400452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -d, 5*x = -3*d + 3*x + 22. Suppose p = -p + d. Calculate the remainder when 8 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y. Let c(n) = 5*n - 11*n - 6 + 6*n - n. Determine c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4718*j**4 + 18*j**2 - 9*j - 1?\nAnswer: 113232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 9422 = 44*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.2 (c) 2\/11 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 121*r**2 + r + 115. What is v(-121)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -233. Calculate the remainder when q is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276232 is divided by 46034.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-25))\/1)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(6\/(-4) + 3). Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7540871994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = v - 1, 26 = -2*v + 5*b - 0. Let r be (-5)\/3*v - 2. Solve -r*a = a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1720?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(22840\/2856 + -8) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 41. Suppose y*j + 0*j + p = 172, -4*j + 5*p = -316. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (14 - 11) + 0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6298.27508 rounded to the nearest 10?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552 divided by 11.\nAnswer: 552\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10110 and 7.\nAnswer: 70770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 5*l**2 + 8*l - 9. Let z be k(6). Let b(q) = q**2 - 55*q + 548. Let h be b(42). Solve -25 = h*j + z*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**5\/40 + 13*a**3\/6 - 10*a**2. Let n(c) be the first derivative of b(c). Let w(o) = -2*o**2. Give n(w(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**4\/6 + 45*b**2. Let i(o) = 3092 + 16*o - 3092 - 2*o. Determine k(i(h)).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 23 = -n + 2, 3*f - 15 = 3*n. Solve -3 = -4*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*h = -150783 - 351994, 167597 = s + 4*h. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 13 = 2*s - 6*s, 3*m = s + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p**20)\/(p**(3\/5))**(1\/9) assuming p is positive.\nAnswer: p**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 17. Calculate l(-28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25019975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*r - 5, 61*f - 56*f - 4*r - 32 = 0. Sort 2, 135, f in increasing order.\nAnswer: 2, f, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 - 10*o - 2. Give z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8299 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 94*y**2 + 3*y - 153. Let h(r) = -42*r + 2 + 24*r + 21*r. Let t(b) = -h(b) + j(b). Differentiate t(k) with respect to k.\nAnswer: 188*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 25*j - 153. What is u(11)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -1161, 54 in descending order.\nAnswer: 54, 13, -3, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176145 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 5*r**4 - 3*r**4 + (-2*r**2 - r**2 - r**2)*(r**2 - 3*r**2 + 3*r**2) to the form k*r**3 + b*r**2 + d + i*r + h*r**4 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 10*i**2 + 2*i - 2. What is the remainder when 33 is divided by g(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -252, -64, 304, 912?\nAnswer: 1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*h - 391*h - 44400 = 0 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s)*(20 - 433*s + 671*s - 442*s).\nAnswer: 204*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - (-24)\/15. Suppose 20*h + 10*h = 69*h - 585. Suppose h*y - 51 = -a*y. Solve -y*g - 13 = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:52 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1191653 rounded to four dps?\nAnswer: 0.1192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 4, d: 1, j: 2, m: 6}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1268 + -125.1268. Let x = 80218.798 + -80344. Let y = c - x. What is y rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-212)\/(-81)*(-1)\/(-4) and ((-178304)\/525360)\/(3\/((-30)\/8) + 1).\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15258069471+-0.05468\nAnswer: -15258069471.05468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1137, 2269, 3377, 4455, 5497, 6497, 7449?\n\"Answer: -j**3 - 6*j**2 + 1157*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 1, -67, -139, -215, -295?\n\"Answer: -2*r**2 - 58*r + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121*l**4 - 5*l**3 + 15*l**2 + l + 536157 wrt l.\nAnswer: -484*l**3 - 15*l**2 + 30*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 37. Let t be a\/(-24) - 8\/(-6). Calculate the common denominator of -16\/57 and t\/(-6) - (-161)\/(-77).\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 1. Suppose -2*l - 2*v = 3*l - 8, 3*v - 12 = -2*l. Give j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 - 18*h**2 + 18*h + 12. Let r(q) = 2*q**3 - 18*q**2 + 18*q + 13. Let o(x) = -3*b(x) + 4*r(x). Does 7 divide o(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 32. What is the nearest to 2 in -4, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -433\/8 + 50. What is the common denominator of 511\/539 - 1\/(-7) and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 + 14 = 0. Suppose -4*l = -3*l + 5*n - 1, -4*n + 2 = 2*l. Calculate the smallest common multiple of l and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -33. Let k = x - -45. Let o = k - -47.99999982. What is o rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - (-3 - (-2 + -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.53*204.\nAnswer: 516.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292269 is divided by 447?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 3. Let p be s(3). Sort p, 1, -1 in increasing order.\nAnswer: -1, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2*(49\/(-7))\/98)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(48)\/sqrt(8)*6) - (sqrt(1573) - (-2*sqrt(1573))**2 - sqrt(1573) - ((sqrt(26)\/sqrt(2) + 2)**2 + sqrt(13))).\nAnswer: 31*sqrt(13)\/6 + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 12.01069513859.\nAnswer: 24.01069513859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6897) - sqrt(6897)*-2)*5*-1)\/((sqrt(192) - (sqrt(192) + -6*2*sqrt(192)))*-5).\nAnswer: 11*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.59*-0.083\nAnswer: 0.13197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 (base 9) in base 7?\nAnswer: -2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -4 - -6) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (154\/143)\/(-2 - -4). Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = -j, 0*q - 5*j - 14 = 3*q. Suppose 19 = -0*t + 3*t + 5*k, 3*k = 2*t. Put q, t, -3 in ascending order.\nAnswer: -3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9844 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = o - 5*v, 5*o - 28*v = -23*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10 - (3 - (-17)\/5). Let u be 107\/p - (-2 - (-12)\/7). Let c be 4\/(-54)*u\/25. Is -1 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-25))\/((102\/60)\/(-17)) + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovooooovooioo. What is prob of sequence oi?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 b when three letters picked without replacement from {o: 2, b: 1, i: 4}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 84 = -3*d, -111*h + d - 84 = -115*h. Solve 18 = 24*a - h*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513678 (base 14) to base 3\nAnswer: -12011001112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Suppose 2*w = q*d - 8, -5*d = w - 9 + 1. Suppose -d*z + k = 2*k - 94, -4*z + 3*k = -188. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1984*c**4 + 9*c**2 + 1809690?\nAnswer: 7936*c**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*4\/((-32)\/2). Sort -4, 13, i, 0 in decreasing order.\nAnswer: 13, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -170. Let s(o) = o**2 - 23*o + 66. Let h be s(a). Solve -j - 4*g = -21, -h*g = 5*j - 2*g - 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 + 3*i**2\/4 - 6*i - 9.\nAnswer: 3*(i - 3)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 0 + 4 - 3. Let g(x) be the second derivative of x**4\/12 + x**3\/3 + 3*x**2 - 2*x. Suppose 7*p - 7 = -0*p. Give p*g(v) - 6*m(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/18)\/((-12)\/18). Let j(f) = -f**2 - 2. Let m be j(2). Let w(o) = o**3 + 5*o**2 - 8*o - 8. Let x be w(m). Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - -15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 201890 = 820174. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -8. Let o = a + -33. What is the remainder when 29 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/3113 and -25\/1981.\nAnswer: 21791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28026899.\nAnswer: 47, 596317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/721 and -115\/482658?\nAnswer: 3378606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311 - 1?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7466*w**2 - 2520. Let r(u) = -2*u**2. Give q(r(b)).\nAnswer: -29864*b**4 - 2520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8. Let p(m) = -5*m**2 - 2*m + 1. Let z be p(t). Let w be z\/(-6) - 1\/1. Solve w = -o - 4, 2*u - 5*u + 3*o = -9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(6*(3*(sqrt(153)*-1 + sqrt(153)) - sqrt(153))*4 + -3).\nAnswer: 18 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 317 = 5*s, -2*j - 36 = 2*s - 190. Let l = j + -91. Let r = l + 63. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 63. Sort c, 2\/13, 5.\nAnswer: 2\/13, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -0.046, 1\/2?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 less than 2621\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + k = 5*k + 92, -87 = -3*o - 3*k. Suppose -3*w - 15 = 0, 0 = 4*y + 3*w + 131 - 32. Let m = y + o. Solve m*u = 3*g - 22, -4*u = -u - 5*g + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 6\/(6 - 3). Let d(v) = 15*v**2 - 4*v - 4. What is the units digit of d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -4 + -37 + (44 - 20)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*q + 55 = -133*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x. Let m be i(3). Suppose a = m*a - 28. Let b = 40 - a. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/(-8 + ((-575)\/69 - -18)). Factor u*x + 1\/2*x**2 + 0.\nAnswer: x*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c + 4*c - 7*c. Let k(w) = -4*w**2. Calculate v(k(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000694774 rounded to six decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:01 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:22 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79044278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -1001*s + 984*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3352 + 3354. Put -42, 0.2, -5, q in ascending order.\nAnswer: -42, -5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 25, -k - q = 2*q + 11. Let s = -4477 + 13426\/3. What is the closest to 1\/3 in k, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93 - 15003?\nAnswer: -15096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -824*p**4 + 16*p**3 - 202645 wrt p?\nAnswer: -3296*p**3 + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12007 * 1\nAnswer: 12007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-8)\/(-92))*-7. Calculate the highest common divisor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581383901.\nAnswer: 2581383901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z + 6*z - 26*z. Let a(b) = b. Calculate a(y(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 3:15 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydwyydyydddydwdyyw. Give prob of sequence dw.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 1 - 21 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 1456*z + 130560.\nAnswer: 4*(z + 160)*(z + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 83.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 430750, 861501, 1292252?\n\"Answer: 430751*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3*z + 2*w**3 + 34*w*z**3 + 1270*z**3 with respect to w.\nAnswer: -6*w**2*z + 6*w**2 + 34*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 3*z**2 + 3. Let m = 17 + -27. Let n(o) = 7*o**3 - 5*o**2 - 5. Let g = 23 - 14. Let y = 3 - g. Determine m*k(p) + y*n(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -366\/403 - -871101\/2015. Let j = d + -431. What is h in 6\/5 - j*h**2 + 4\/5*h = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 84*p - 1530. Let c be a(-57). Let o(v) = 35*v**3 + 4*v**2 - 9*v + 13. Let f(m) = 17*m**3 + 2*m**2 - 4*m + 6. What is c*f(s) - 4*o(s)?\nAnswer: 13*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6086785 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/12 and -0.0077789 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 + x + 11. Let m(z) = -2*z - 44. Let o be m(-24). What is the remainder when u(o) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 10 = 2*q, -4*q + 0*q = 3*y + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 10*c - 2*c - c. Let x be k(-3). Is 6 a factor of 2\/11 - 744\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 165 in ascending order.\nAnswer: 1, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:56 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 54*t + 2241. Let b be v(-20). What is the highest common divisor of 108 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 860732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 6. Let y be v(-3). Let z(j) = j**3 + 43*j**2 + 37*j - 117. Let t be z(-40). Suppose y = -3*u + t - 614. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**8\/4 + 9*v**7\/7 + 13*v**4\/12 + 3*v**3 - 1930*v. Find the third derivative of k(m) wrt m.\nAnswer: 1680*m**3 + 3240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1 + 5 - 34*p**2 + 37*p**2 + p. What is the tens digit of h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 39 = 109. Suppose 0 = -12*m - 70 + d. Let o(v) = -v**3 - 4*v**2 + 6*v + 3. What is o(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5210462 (base 8) to base 15.\nAnswer: 1c413d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.069 (b) -11.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22454 = -20*w + 14706. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*p - 64, 5*b + 43 + 21 = p. Let l = b + 12. Solve 5*i - 3*i = z, l = 5*z + 4*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503920 (base 16) in base 15?\nAnswer: 6dcba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*h - 5, -5*i - 2*h - 3*h = -25. Suppose 3*f = -i*x - 8, 0 = 2*f - 0*x - 2*x - 16. Solve 2*w + w - 3 = f*o, 4*o + 6 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-18)\/3 - -2). Let o(a) = -3*a + a**2 - 3*a - 8*a + m*a - 16. List the prime factors of o(14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/198912 and -191\/22200?\nAnswer: 4972800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813480 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 50248566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754.4 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 3 = 0. Suppose 2*q - 4*q - 4 = 0. Let j be 35 - (4 - (0 - q)). Calculate the greatest common divisor of v and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -43, -64?\n\"Answer: -21*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5 + 566*o**4 - 28561*o**3 + 471812*o**2 - 2224948*o - 2725888 = 0.\nAnswer: -1, 11, 22, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 0, 22\/7, 2, -329?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -103*t**7\/6 - 332*t**3\/3 - 849*t. Find the second derivative of a(u) wrt u.\nAnswer: -14420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10))**(-45)\/(c**13\/(c*c**(-2\/13))) assuming c is positive.\nAnswer: c**(-433\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584337 is divided by 23340.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-23 + 10 - -8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 9*f - 2. Let d(j) = j**2 - 9*j + 1. Calculate -5*d(p) - 4*s(p).\nAnswer: -p**2 + 9*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2111171 and -0.2?\nAnswer: 0.04222342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 16*b**2 + 13*b - 15. Determine f(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:13 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 98*s - 480. Let a be x(5). Calculate the highest common factor of a and 84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjbb when four letters picked without replacement from xppbppjpjjbjbjbjppb.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/((u*u**21)\/u))\/u*u\/(((u*u**(-20))\/u)\/u*u) assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 996205 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 378, 1 in descending order.\nAnswer: 378, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/((-22644)\/2590)*6?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 - 2*f**2 + 3*f - 4. Let d be u(4). Let l be 2\/(-9) - d\/(-27). Is (-279)\/6*(-28)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 1197, 3643, 8585, 16899, 29461, 47147, 70833?\nAnswer: 101395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 1887405030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -0.2 (c) -1\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/3 (b) 33 (c) 2\/11 (d) 46\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 30*j - 23. Let k(n) = -3*n**2 - 20*n - 15. Let o(l) = -7*k(l) + 5*u(l). Let m be o(11). What are the prime factors of ((-1)\/(-4))\/(m\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.44888 rounded to 2 decimal places?\nAnswer: 5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w**(-9)*(w\/(w**(-3)\/w))**(3\/2))**(-5))**(2\/95) assuming w is positive.\nAnswer: w**(13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98175 and 12716?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - ((0 - 3) + -3 + 0)) + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40111472?\nAnswer: 2, 853, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 8071292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.84 + 4.84. Which is the second biggest value? (a) 0.06 (b) 0.27 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1256*h**6*m**3 + h**6 + 6*h**2*m**3 + 13436*h**2 + 2 wrt h?\nAnswer: 150720*h**3*m**3 + 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1073.4*0.08497.\nAnswer: -91.206798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 divided by 1?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 6. Let v be (4\/(-5))\/(6\/(-60)). Suppose l*a + 2*a = v. What is the biggest value in 3, -1\/5, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f**3 + 510*f - 1043*f + 526*f to z*f + c*f**2 + s + w*f**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 321553 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -111. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(27).\nAnswer: -6 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*t - 5*f + 132 = -256*t, 4*t + 3*f - 56 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1 (c) -0.3 (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1134 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29153\/5 - -5831. What is the biggest value in -4, k, -411?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjgjjjgjrgjjzzgr. What is prob of sequence rr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2243 and -99.5.\nAnswer: 223178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*o - 31227 = -666*o - 99633 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 - -233. Sort v, -12, 15 in decreasing order.\nAnswer: 15, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 344?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226\/815 + -20\/163. Put -10, -4, -11, r, -0.1 in decreasing order.\nAnswer: -0.1, r, -4, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*u + 2 = 0, 3*f = -0*f - 3*u + 6. Put 3, -1, f in decreasing order.\nAnswer: 3, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/3*169632\/(-41664)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*q**2 + 16*m**2 - 8*m*q**2 + 14*q**2 - 3 wrt m?\nAnswer: 4*m*q**2 + 32*m - 8*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*g - 2070 - 648 = 0, -3*f + 4123 = 4*g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -30. Solve -o = y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 49*r + 2 - 48*r - 2. Let v(g) = 3*g - 6. Let y be v(4). Let w be d(y). Which is smaller: w or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 687304 + 404887.376.\nAnswer: 1092191.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-4*(-4)\/(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15039 is divided by 5012.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10203 + -121?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15260473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i - 3\/4*i**4 + 3\/4*i**3 + 0 + 3\/2*i**2.\nAnswer: -3*i**2*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7016730 = -5*n + 1691730. What is n rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 82. Let j = -0.068 + -3.932. Which is the nearest to 0.1? (a) d (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112021111 (base 3) in base 8?\nAnswer: 24250","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put 10, -65, -5 in decreasing order.\nAnswer: 10, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 684423182 to the power of 1\/2, to the nearest integer?\nAnswer: 26161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 3531392277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 2. Let r be (-24)\/16*(4\/6 - 2). Suppose o*k = -3*j + 48, -r*k - 80 = -5*j - 6*k. Calculate the greatest common divisor of j and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25 + 25 + 8*n**2)*(-5*n + 4*n - 3*n) - 2*n**3 + 2*n**3 + n**3)*(120 - 24 + 185).\nAnswer: -8711*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 544 = -2559. Let g = -398 + x. Solve -15 = -2*w + 5*w - 3*c, 0 = 5*w + g*c - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -g + 600893, -5*g = -8*g + 2*w + 1802703. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 229*t + 1356. Calculate j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2388, 2229, 1916, 1413, 684, -307, -1596?\n\"Answer: -6*l**3 - 41*l**2 + 6*l + 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - (-140)\/20)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 22. Let w be g(9). Let p = 29 - w. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 2*c + 3. Let a be m(2). Let z be 4\/(-26) - (-240)\/(-130). Let j = a + z. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/10 - (10\/4 + -2). Solve 3*t = p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -1225\/676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29547 - -49459. What are the prime factors of z?\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 20, 26, 32?\n\"Answer: 6*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 73. Let d = u + -59. Suppose 0 = -5*l - d*c + 639, -10 = -3*l + 4*c + 363. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -179, -781, -2415, -5597, -10843, -18669?\n\"Answer: -86*o**3 - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -570968 - 3407.44?\nAnswer: -574375.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 - k. Let l be z(1). Let y be 67\/10*2 - 10\/25. Solve 0 = -b + l*o + 14 + y, -3*b - o = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6 + 3*v**2 + 3*v**2 + 5*v**3 + 3 - 6*v**3 + 8*v. Let u be y(6). Does 10 divide u - (-3 + (-9)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k**2 - 29*k + 16*k + 13*k. Let l(b) = b**2 + b. Let z(q) = 75*q**2 + 50*q. Let n(m) = 50*l(m) - z(m). Give n(w(y)).\nAnswer: -3025*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3451066278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129 - -149) + -15 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 3554.\nAnswer: -11\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + ((-4*(sqrt(17) - (-1 + sqrt(17))))**2 - (sqrt(17) + 5 + (sqrt(272))**2)) + 4.\nAnswer: -254 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99559.962 + 5.32292.\nAnswer: -99554.63908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1*54\/6)\/((-19)\/(-836)*-12)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2*p + 0*p + (3*p - 6*p + 4*p)*(1 + 2 + 4) - 9*p - 24 + 24.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206537079*w**3 - 243963070 wrt w?\nAnswer: -619611237*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1\/3, 31334, -16 in decreasing order.\nAnswer: 31334, 3\/5, -1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665247249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 40.317?\nAnswer: -39.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -100432222?\nAnswer: -100432222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6066*z**2 + 7156 wrt z.\nAnswer: -12132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311, -21, -3, 2 in increasing order.\nAnswer: -311, -21, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*l + 953*l**2 + 936*l**2 - 2699*l**2 + 935*l**2 - 451*l + (-l + 5 - 5)*(-6*l + 2*l + 2*l).\nAnswer: 127*l**2 - 498*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1364 + 1559. What is the remainder when a is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6331.602 kilometers to micrometers.\nAnswer: 6331602000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*x**5 - b*x**3 + 17*b - x**5 - 6*x**2 - 2 wrt x?\nAnswer: -360*b*x**2 - 6*b - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -5507.\nAnswer: -2753.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 2\/(-8)*-4. Suppose 0 = 5*r + i*b, 5*r + b = -12 - 4. Put r, -6, -2 in ascending order.\nAnswer: -6, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -132?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 9952352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 33 = -v - v, -5*o + 37 = 3*v. Solve h + g = -1, o*h - 3*g = 3*h + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/5 of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6339044.\nAnswer: 2, 1109, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1424*f**3 + 3*f**2 - f + 16?\nAnswer: -8544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -293e?\nAnswer: -293e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 301\/(-42) - 2\/(-12). Calculate the smallest common multiple of 20 and 23 + y\/(14\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3 = 0, 2*f + 8*f = 2*u + 5*u - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 356758\nAnswer: -356758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -389 - -683. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -3*d + 4*d = 0. Let s = 0 - 0.5. Sort f, d, s in increasing order.\nAnswer: s, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 849*s**3 + 80 + 95*s**3.\nAnswer: 944*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-63)*6048\/(-120).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/70*35\/(-80)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*u - 0*g - 2, -4*u + 2*g = 4. Is 13\/3 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -278*z**3 - 5 - 5*z + 10 + 284*z**3. Let c(t) = -21*t**3 + 18*t - 18. Let h = -42 + 24. Calculate h*o(j) - 5*c(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 8 - (-18)\/(-4) - 9\/2. Is -93\/22 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/8*a**4 + 0*a + 231\/8*a**3 + 0 + 1323\/8*a**2 - 3\/8*a**5.\nAnswer: -3*a**2*(a - 9)*(a + 7)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 13*j - f - 328, -j - 5*f = -50. What is the greatest common factor of 923 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*i + 10*i - 7*i**2 + 2*i**3 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*c = 208*c + 206*c + 1353 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 19 (c) -3\/8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259 or -956?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607824963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/14)\/(-3))\/(1\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 10. Let s(z) = 5*z - 1 + c + 0*z. Let i = -3 - -2. Determine s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17477 divided by 1592?\nAnswer: -17477\/1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**8\/840 + r**5\/120 - r**3\/3 + r. Let o(s) be the second derivative of p(s). What is the second derivative of o(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -102, -179, -242, -291, -326?\n\"Answer: 7*h**2 - 112*h + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*p**3 + 35*p**3 + 51*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose 5*c + 7 = -2*k, -c - p = 1. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2198258, -4396519, -6594780?\n\"Answer: -2198261*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4 + 1171*o**3 - 80190*o**2 + 1785476*o - 13171576 = 0.\nAnswer: -1237, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.0122, 2\/5, -131?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*3)\/(sqrt(9)*1*1).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d - 56. Let f be r(3). Which is the third biggest value? (a) 0.3 (b) 1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -388, -388, -398, -424, -472?\n\"Answer: -t**3 + t**2 + 4*t - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205.28*-10.\nAnswer: -2052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + s = 7*s. Solve 4*j = -s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:22 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8 and -101\/211658.\nAnswer: 846632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/(4\/6). Suppose 3*q - 3 = -0*q. Sort q, s, -9 in descending order.\nAnswer: q, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50195 or 50194?\nAnswer: 50194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x = -3*j + 3, 12 = 4*x. Suppose -104 = -6*p + j*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 + 0 = 0, -775 = -5*j - 5*u. Suppose 5*q - 2*z + j = 0, -2*z + 4*z - 124 = 4*q. Let m = -28 - q. Solve 0*g - m = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 45*b - 75. Let r be m(43). Let u(t) be the first derivative of -3\/5*t**5 - r + 9\/2*t**4 + 15*t**2 - 12*t**3 - 9*t. Let u(x) = 0. Calculate x.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1752.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -716?\nAnswer: 1\/716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 11*g**2 + 19*g - 5. Let v be n(9). Suppose -v*d + 28 + 8 = 0. What is the remainder when (-6)\/(-8) + (-660)\/(-16) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10854 + 10854.8. Let g = 259\/1605 + -3\/107. What is the second smallest value in -0.1, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -0.2 (b) 3\/2 (c) -1051 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b**2)*(-6*b + 4*b + 3*b) + (-b**2 + 0*b**2 - 6*b**2)*(9*b + 28*b - 12*b).\nAnswer: -174*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 51*m = -47*m + 26, 5*c - 5*m - 45 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 - 48 + 7*r**3 + 95 - 2*r**2 in the form b*r + i*r**3 + l*r**2 + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 19. Let r be o(-27). Suppose 4*s + 187 = i, r*i - 2*s - 917 = 3*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2*3\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 - 4*s**2 + 2*s + 1. Give d(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -4.6?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4*23\/736*132.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27*3\/(-3))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from clc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let w = 175 - 170. What is p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**9\/15120 - y**5\/60 + y**4\/12 - 2*y. Let g(m) be the third derivative of f(m). Differentiate g(x) wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -127, -281, -497?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7149 and -0.39.\nAnswer: -0.278811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*l + 47, -4*l + 0*l = q + 3. Let z be (187\/(-4))\/q + -4. What is p in 9\/4*p**2 + 5\/4*p + z + 1\/2*p**4 + 7\/4*p**3 = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375407 smaller than 375383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = 4*q - 8, -2*q = 0. Let l(w) = 104*w + 121. Is l(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/91 + (-144)\/(-14). Let s(x) = -3*x - 39. Let b be s(-14). Put -2, b, i, 2 in decreasing order.\nAnswer: i, b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/53 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) + 156\/(-20). Let l be (2 - j\/(-5))*-125. Let o be l\/(-4) - (-2)\/4. Calculate the greatest common divisor of 117 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 1 + (sqrt(1053) - (sqrt(1053) + -2*(-2 + sqrt(1053))) - sqrt(1053)))*-5*3)**2*6.\nAnswer: -777600*sqrt(13) + 6031800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 3.6. Let d = 1 - o. Let q be (1 - 8\/5)*-5. Sort q, d, -1.\nAnswer: -1, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4803 + 3*n - 9596 + 4793.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92486463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**4 - 6*t**3 + 3*t**2 + 2. Let q(p) = -3*p**4 + 6*p**3 - 3*p**2 - 3. Let s = -17 - -15. Let z(i) = s*q(i) - 3*l(i). Factor z(u).\nAnswer: -3*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 12*n**2 - 11*n - 7. What is y(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 6) + -8 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.027 + -0.973. Let q = 249.2 - 250.2. Which is the closest to m? (a) q (b) 1\/3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24\/36*9\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -687\/4 < -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18772 + 2?\nAnswer: -18770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 7*d**2 + 2*d**2)*(-44 + 44 - 4*d)*(101 + 75 - 54) as p*d**2 + a*d**3 + o*d + x and give a.\nAnswer: 1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.328234mg to grams.\nAnswer: 0.009328234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -428.94 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:25 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12483\/1197 - 1\/7*3. Solve -i - 3*l = -0*l - r, -14 = i - 5*l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjrrrjyyrrjjjrjjrj. Give prob of sequence rryy.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = l + 32 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 5*h + 4. Let s be u(-4). Let z be 0 + s\/(-2) - -12. Let r = -30 + 78. What is the highest common factor of r and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051791 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 50. List the prime factors of 8\/((1\/2)\/((-44)\/j)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125261 or 125259?\nAnswer: 125261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*w = 256*w + 297*w - 1512 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -15) + (-88 - -65) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 36d5?\nAnswer: 36d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*y - 9, 21 - 14 = -3*n - y. Which is smaller: n or 4\/97?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 12*l + 24 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - v - v - 1939, 0 = -3*v - 6. Suppose -219 = -y - 2*k, 0 = -3*y - 4*k + k + n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/26544)\/(39\/1092).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13948 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 5*w. Let h(m) = -m + m**2 + 3 - 3. Let o(g) = -2*h(g) - z(g). What is the lowest common multiple of o(-3) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = 5*a - x, -69 = 2*a - 4*x + 47. Let f = 12 - 9. Suppose -108 + 288 = -f*w. Is w equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.56, 9, -0.22, -0.08, -8 in decreasing order.\nAnswer: 9, 1, -0.08, -0.22, -0.56, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28621763 - 28622257.84466. Let a = d - -7.60766. Let y = -487 - a. Round y to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, i: 2, e: 2, p: 9}. Give prob of picking 2 e.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 3. Let w(l) = 12*l + 10. Let x(r) = -6*p(r) + 2*w(r). Calculate x(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.917 - -10550.01.\nAnswer: 10543.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/35 and -4 - (0 - (-142)\/12).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 + 1)*(-5*g + 10 + 8*g - 11).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -52 + 44. Let f be 4\/k + 1 + -1. Sort f, 0, -8, 1 in decreasing order.\nAnswer: f, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -4 (b) 2\/9 (c) 89 (d) -5 (e) -1 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + -1 + (35 - (-72 + 88))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 32*g**7\/105 + 4*g**6\/3 + 17*g**5\/15 + g**4\/3 + 1466*g**2. Factor n(b).\nAnswer: 4*b*(b + 2)*(4*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -490*p + 492. Let y be j(1). Solve 7*g = 3*g + y*o - 22, -10 = -2*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 10. Calculate l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -95.143. Round o to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2\/7 + 83002194*w\/7 - 166004400\/7 = 0.\nAnswer: -27667400, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -371*k + 3. Let w(p) = -8*p + 1. Calculate h(a) - 4*w(a).\nAnswer: -339*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147153\/460 - -7230\/23. Calculate the common denominator of u and 47\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 15. Let a be w(16). Let l(k) = -k. Let d(x) = -11*x. What is a*d(c) - 6*l(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(0*c + 0*c - 2*c)*(5 + 0 - c - 3).\nAnswer: -2*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14) + 451\/861.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2092 - -2097. Sort t, 1, 0.5, 2\/7 in descending order.\nAnswer: t, 1, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w - 27. Let u(f) = -2*f + 4. Let k(a) = g(a) + 2*u(a). Calculate k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)*s*s)**(-28\/5)*(s**(3\/8)\/s)\/(s*s**(-1\/2)\/s))\/(((s**(-2\/3)*s)\/((s*s\/(s**(1\/6)\/s))\/s))\/(((s**(2\/3)*s)\/s)\/s)**(9\/8)) assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*k**2*o**2*y + 1055*k**2*o*y**2 - 9*k*o**2*y**2 - 24*k*o**2*y - 19*o*y**2 - 3*y wrt k.\nAnswer: -184*o**2*y + 2110*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.074 + -0.074. Which is the smallest value? (a) l (b) -2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = s + 4*u, s + 2*u - 1 = u. Suppose -3*x = 6, f + s*x - 2 = -7. Suppose 4*g + 8 = 0, g - 6*g = f*l - 20. Solve 3 = -d - j, 4*j + l = 4*d - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30524 = 5*j + 1449. Suppose 11*r = 16*r - j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 11*m - 4*y - 50 = 26*m + y, -25*y - 27 = 48 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (0 - (5 - 1)) + (-42 - -66 - 15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6318939.\nAnswer: 3, 11, 419, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170481 is divided by 107.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 8*i**3 + i)*(-5*i + 0*i - 2*i)*(3*i + 3*i - i).\nAnswer: -280*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-39)*(-2158)\/(-64740).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 + l - 7. Let p be f(0). Let y = 15 + p. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -j + 5, -3*d = -j - 7 - 0. Let b = -3374 - -3372. Sort d, -3, -5, b in increasing order.\nAnswer: -5, -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 1 (c) -4 (d) -2\/7 (e) -4\/697\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 93, 134, 175, 216?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-41)\/205 + (-2)\/(-10). Suppose -4*h - 16 = k, -5*h - 3 = -5*k + 42. Solve -3*w = 2*x - 3, q = -k*x - 2*w - 1 + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from zricm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5614 - -545?\nAnswer: -5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7062 times 5\nAnswer: 35310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 3:04 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 218*p - 215*p = 57672, q = 4*p + 11516. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-6))\/f**(-3\/14))\/((f**(-22)\/f)\/f*f**(9\/2)) assuming f is positive.\nAnswer: f**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 - f - 62. Let j be u(5). Solve -6*h + j*h + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23918.\nAnswer: 2, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, 5, 212?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 107*h + 2\/3 - 323\/3*h**2 = 0.\nAnswer: -2\/323, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1\/11 (c) 1 (d) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:44 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1635.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 691 and 31?\nAnswer: 21421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 23 = 3*n, -4*p + 7 = 23. Suppose -4*o + 3 = -f, -o = n*f - 6*o. Which is smaller: 2\/5 or f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*o**4 - 10149927336*o**3 - 158983065413070344*o**2 - 70659138679893888*o - 7851015353184768 = 0.\nAnswer: -31326936, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15f9 (base 16) in base 15?\nAnswer: -1a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 933 and 7153.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+723\nAnswer: 722.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brjr when four letters picked without replacement from brrjjbbjrrjjj?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, b: 2, v: 3, q: 7}. What is prob of sequence qvv?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 4)*4 + 0. Let j(m) = -m**3 + 2*m**2 - 4*m + 5. Let a be j(2). Let k be (a\/(-4) - 2)*u. Let d(z) = -z + 3. Calculate d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose 0 = z*k - 10 - 6. Let t(u) = 13*u - 1. Let q be t(k). What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*i + 149*i = -628*i + 11401 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-9)\/(-27)*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + x + 4. Let c(w) = w**3 + 5*w**2 - 5*w - 6. Let m(z) = -c(z) - 3*o(z). What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 44 - 22)*(-3*r + 1 + 2*r + 2*r).\nAnswer: 46*r + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {h: 2, u: 3, o: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 0.3 (c) -13 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-4394)\/(-234) - 8*-1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15 and -115\/432.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 22*w**2 - 100*w + 3. Calculate the remainder when 151 is divided by k(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/3 - 208066*r**3\/3 + 416114*r**2 - 624162*r = 0.\nAnswer: 0, 3, 104027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773 + 532*j**2 - 1546 + 773.\nAnswer: 532*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 4. Let c = 13 + s. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -82*z + 42. Let q(a) = 44*a - 19. Let h(t) = 6*p(t) + 11*q(t). What is h(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6927*3*2\/18. Let h = u - 23033\/10. What is the common denominator of h and 32\/40*(-160)\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185710 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**5 + 6*v**5 - 2*v**5)*(-66 - 133 + 112) + (7*v - 4*v - 4*v)*(5*v**4 - v**4 - 2*v**4) - 2*v**3 - 2*v**5 + 2*v**3 - 1 - 2*v**5 + 1.\nAnswer: -180*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 3*g - g)*(-29*g - 1833*g - 407 + 407) in the form v + t*g**2 + p*g and give t.\nAnswer: -3724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 3*v**2 + (0 - 2*v**2 + 0)*(1 + 1 + 1))*(-2*v**2 + 4*v - 4*v).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -202*(-2)\/10 - 76\/190. Factor -13 - u*g - 11 - 2 - 9 - 5*g**2.\nAnswer: -5*(g + 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 47*w - 27*w = -72 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*t + 9*t + 9*t + 6 in the form y + q*t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -i + 4*i. What is the remainder when 72 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -166*q**2 - 2*q + 4. Let d(h) = -167*h**2 - 3*h + 5. Determine 2*d(u) - 3*w(u).\nAnswer: 164*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -12, 1\/2 in descending order.\nAnswer: 5, 4, 1\/2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 32*k + 148. Let o be ((-15)\/(-3) - 7) + 8. What is the remainder when h(o) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6627 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214413652 < 214413652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i - 1. Let y(t) be the second derivative of -t**4\/4 - 2*t**3\/3 - 2*t**2 + 26*t. Suppose -2*q - 24 = -0. Give q*j(z) + 3*y(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/2 (b) 12.7 (c) -0.22 (d) 0.5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6591 is divided by 223?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1906*i + 947*i + 953*i.\nAnswer: -6*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.4, 0.08, -2\/7, -1.116, -1, -17?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -5.15023.\nAnswer: -108.15483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -310\/13 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*l = -40, l + 3*l - 60 = -4*b. Let m(u) = b - 10 - 2*u**2. Let j(r) = 3*r**2. What is j(m(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Suppose 5*g = 6*g + 1. Is q smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24504 and -0.7.\nAnswer: -0.45496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 135 = 45*i. Solve 4*w + w + i = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1507*u + 13. Let a(b) = 752*b - 6. Give 13*a(r) + 6*w(r).\nAnswer: 734*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110071 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let s(x) = -6*x + 5. Let k = -70 - -60. Let p(u) = -2*u + 1. Let t(g) = k*p(g) + 2*s(g). Give c(t(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:29 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (228*p - 225*p + 33 - 81)*(3 + 3 - 1) as r*p + q and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4282403 + -10\nAnswer: -4282413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/26*((-2002)\/65 + 31)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = 3*d, 0*q - 2*q = d - 9. Suppose d*i - 12 = 0, 0 = 5*l - 9*i + 4*i - 230. Suppose 46 = n + 5*m, -108 = -5*n - m + l. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 6\/(3 - 6) + 28. Solve -q + 3*q - 2*i = -2, 5*q = -i + n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15753*m - 150 = -15738*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6) + (0 - -7) + -236 + 222 - 18.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-270) - (-32)\/(-30))*(-2)\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24334 and 1334.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - -142)*2 - 3. Let p = l - 278. Calculate the greatest common divisor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4121487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15a (base 15) to base 4\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 12 = -26*o + 277 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*w - 4. Suppose -4*n + 3*c - w*c = -51, -4*n - 5*c = -57. Let u = 47 - n. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 14114142101?\nAnswer: -14114142131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-24))\/((-16)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by (254\/(-6))\/(5\/(-9)) + (-140)\/(-175).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**4\/24 + 2*c**3\/3 - 8*c**2. Let d be r(-2). Is ((-2)\/4)\/(d\/(-6492)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1131 - 41845\/37. Which is the smallest value? (a) -0.03 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144153 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 1) + 10 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 4. Let v be k(-9). Let t(f) = -f - 10. Let x be t(v). Suppose -2 = -n - 4. Put x, -1, n in decreasing order.\nAnswer: -1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4280 - -6353. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179875 - 68688. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -382 + 0\/(-3 - -5). Let w = -367 - k. Solve w*t = 7*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254821321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2606265 divided by 15.\nAnswer: 173751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/162*9 + 108\/(-10). What is the fourth biggest value in 0.1, -1\/6, 1, -1562, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/8 - (7 + -9). Let k = 377.1 + -376.1. What is the closest to k in -2\/13, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 8. Let f be r(0). Suppose -16*x - 135 = -263. What is the highest common factor of f and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20512727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3 - 5. Let o = b - 6. Let a = -2 - o. Put -2, 2, a in descending order.\nAnswer: 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 2. Let i be z(-2). Suppose -109 = -b + 4*x, 0*b - b + x + 94 = i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:02 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/21 - 2948*p\/21 - 1086338\/21.\nAnswer: -2*(p + 737)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let o be h(2). Put 2, 3, o, -2 in ascending order.\nAnswer: o, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-225)\/(-20))\/(-1*(-2)\/(-232)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.5 (c) 3 (d) 143.5 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqg when three letters picked without replacement from {k: 2, m: 3, q: 2, g: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -93, -100, -109?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 13834053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 10467.\nAnswer: -19\/10467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.086491 micrograms in kilograms?\nAnswer: 0.000000008086491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 8\/1245.\nAnswer: 8\/1245, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**3 + 2*b + 1. Let r be l(2). Let p be 4\/(-18) + 235\/r. Suppose -p*y + 150 = -5. Which is smaller: y or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:14 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-75)\/60)\/((-1)\/4). Let p = 0.5 - 0.3. What is the closest to p in 1\/10, v, -0.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50051.\nAnswer: 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 3*u**2 + u + 5. Let k(q) = -4*q**3 - 6*q**2 + 2*q + 11. Let p(c) = 7*h(c) - 3*k(c). What is the units digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678471.6mg in tonnes?\nAnswer: 0.0006784716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-75)\/(-6)*12\/30. Solve 0 = d - 3*d + b + 2, -3*d + t*b = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 times 95?\nAnswer: -30780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1030, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/3 - (-4)\/6. Let x = 6952 - 6951.7. Sort 1, b, x, -3\/2 in increasing order.\nAnswer: -3\/2, x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*c + 13 = 3*w, w + 5*c + 3 = 0. Let k = w + 1. Suppose -5*r = -5, -7*r + 3*r = 2*s - 52. What is the highest common divisor of s and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 33*c + 783. Let n be a(-23). Solve -7*s - n = 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-20))\/(-1))\/((12\/(-50))\/(123\/(-13735))).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8736 and 212576?\nAnswer: 637728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010614 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, -5, 115115 in decreasing order.\nAnswer: 115115, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046649 * -2.\nAnswer: -0.093298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -44*n + 4224. Is 88 a factor of o(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**8\/28 + j**4\/3 - 2*j. What is the third derivative of m(q) wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 9*b + 10. Let r be v(-10). Suppose r = 9*z - 4*z - 30. Suppose -49 = -5*t + z. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(8\/7)\/(q*q**(2\/15)))\/((q*q*q\/(q\/(q*q\/(q\/(q*q*q**(1\/2)))*q))*q)\/((q**(-2\/5)*q)\/q)) assuming q is positive.\nAnswer: q**(-1657\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**6*u)*u**(-3\/5))**(-8\/15) assuming u is positive.\nAnswer: u**(-136\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/112)\/((21\/14)\/3) and 6\/8*(-46)\/11.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m**2 - 14*m**4 - 20*m**4 - 3 - m**3 + 35*m**4 to the form z*m**4 + x*m**2 + j*m + k + a*m**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241795 + -112124. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/((-384)\/(-56)))\/7*30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54784647877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -56 in decreasing order.\nAnswer: 7, 2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 37852 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284 - 519. Let i = f + 255. Which is the smallest value? (a) 1 (b) 1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254 a factor of 10084396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d - 0. Suppose -2*j = 4*h + d - 13, -3*j = -4*h - 28. Let u be (12\/10)\/(j\/100). Calculate the highest common divisor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -27206*i + 54340. Give o(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339\/5 - -2041\/30. Let c(z) be the second derivative of 2*z + d*z**4 + 0 + 2\/15*z**3 + 0*z**2. Factor c(y).\nAnswer: 2*y*(7*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3357962 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190232\/457 < 417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 181*c + 3440. Give b(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/12 + m**3 + m**2\/2 - 8*m. Let c be a(-6). Let j(v) = 29*v - 3. List the prime factors of j(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101877546 to the power of 1\/2, to the nearest integer?\nAnswer: 10093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/(-72))\/10*2. Suppose 3*w - 8*w = -15. Let u = -2 + w. Is u less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**2 + 2*v + 2 + 4*v**3 - 2*v - 7*v**2 + 7*v - v as z + y*v + g*v**2 + l*v**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017260 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -1, 0, -2 in descending order.\nAnswer: 3, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - ((-8)\/4 + 4). Let k = 14 + m. Is k*2\/(6\/771) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let y(q) = -18*q**2 - q. Let n(u) = -2*m(u) + y(u). Find the second derivative of n(w) wrt w.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (228\/38)\/(4\/206). Let l = n - 306. Solve -l*b = -2*g - 0*b + 5, 5*g + 2*b - 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5546 and 7802.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15115, 30227, 45337, 60445, 75551?\n\"Answer: -p**2 + 15115*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -334049?\nAnswer: 334044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 139366 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5965861, -5965871, -5965877, -5965879, -5965877, -5965871, -5965861?\n\"Answer: 2*v**2 - 16*v - 5965847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*g + 5 - 38*g - 8 + 2 - 5.\nAnswer: -135*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 28.99999919. Round o to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -4c?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1 + 0*h**4 - 13\/7*h**7 + 0*h**6 - 17\/3*h**3 + 0*h + 0*h**5 + 0*h**2. What is the third derivative of o(i) wrt i?\nAnswer: -1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = -5*w + 13, 0 = 3*j + 5*w - 3. Let m be j\/3*(-24)\/16. Let x(k) = -3*k**2 + 2*k + 1. Calculate x(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0*3\/9. Suppose -l*u - 15 = -3*u. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 5*f + 3 = -32*u, -2*u + 21 = f. Solve 4*i = -u, 0 = 2*j - 2*i + i - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-2 + sqrt(242) + 1 - (sqrt(242)*-2 + 1 - sqrt(242)))*1)**2 - (4 + ((sqrt(242) + -1)*-4)**2 + -5)).\nAnswer: -16 + 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 + (6 - 4) - (46 - 32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:40 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 0*t + 3*t + (6 - 1 + 0)*(2*t - 2*t - 2*t) - 5*t + 5*t + t)*(5 + 4 + 5) + 0*t + 2*t + 4*t to v + u*t and give u.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15254337 is divided by 7627130?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-210)*(-8)\/18*(-2595)\/(-692).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -3\/2, -2, 12, -4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = 0, 8*d - 4*d - 88 = -2*i. What are the prime factors of (16\/(-20))\/((-8)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147, 645, -193, -1367?\nAnswer: -2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 + (-506)\/(-121). Suppose 3 = -x*f + 71. Let v(k) = -k**3 + 18*k**2 - 17*k. Let c be v(f). Is c not equal to 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-34)*116\/145\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = -27 - 59 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 410*l**2 + 365 wrt l?\nAnswer: 820*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p. Let h(z) = -447*z. Determine h(a(y)).\nAnswer: 7599*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {s: 3, e: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-2 + 15) - (-2 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + 358. Let p = h - 129. Suppose 3*f - p = -4*u, -4*f - 5*u + 114 + 26 = 0. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1089835 divided by 5891.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 6*l**2 - 2*l**2 - l**2 + 0*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/25)\/((-2 + 4)\/20). What is the remainder when (-1 - 2 - 4*a)\/1 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*a - 280*a - 9 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378739, 5, 0 in descending order.\nAnswer: 5, 0, -378739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 131*a = 126*a + 2265, -2*i = -3*a - 2289. Calculate the lowest common multiple of i and 120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 39 - 298 = 14*o - 36*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 1147.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29, -44, -47, -32, 7?\n\"Answer: x**3 - 22*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsf when four letters picked without replacement from {s: 10, f: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/100467 and 149\/169458.\nAnswer: 93032442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3064\/(-1149)*(-18)\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (0 - 0) - -3. Let z(j) = j**3 - 6*j**2 - 6*j - 4. Calculate the smallest common multiple of (-3)\/5 - 128\/(-5) and z(x).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -1\/12*t**4 + 5*t**2 + 0 + 4\/3*t**3 - 47*t. Let m = 71 + -64. What is l(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 + 15 = -p, -1 = -g. Solve p = -120*l + 123*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 21*o - 21. What is k(-21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4\/64*2). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4087946924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100122, 199968, 299814, 399660, 499506?\nAnswer: 599352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1176, -0.1, -6, 37.\nAnswer: -1176, -6, -5, -0.1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 11*c**2 + 7. Suppose -2*w = 7*w - 36. Suppose -w*a - 723 = -743. Let o(q) = -3*q**3 - 16*q**2 + 10. What is a*o(r) - 7*b(r)?\nAnswer: -r**3 - 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2303*p + 873 - 5772 = -454*p + 17157 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 232\/20 + 2\/5. Let i be -1 - (0 - p\/4). Solve i*h - 3 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/((-2100)\/(-144)) - -2. What is the fourth smallest value in -3\/4, 0.08, l, -2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 81179*h - 81176*h)*(2*h + 2 - 2)*(-5*h**3 - 11 + 11).\nAnswer: -30*h**5 + 80*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*(t**(-2\/11)*t)\/t)\/(t\/(t\/(t\/(t\/(t**0\/t))*t)))**11 assuming t is positive.\nAnswer: t**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 7 = -59, 34 = -5*o - 4*d - 43 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:45 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32700*-0.2526\nAnswer: -8260.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = -6*a. Let s = 13 - 11. Calculate the remainder when 0 - 2 - a*7 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 1:15 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(2 + -1*(sqrt(1700) + 2) + -3 + 3 + sqrt(1700) + sqrt(1700) + sqrt(1700)) + 4).\nAnswer: -24 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y + 3335 + 1331 = -181 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/5 + 1717*n**2\/5 + 73788*n + 184041\/5 = 0.\nAnswer: -429, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156130298*u**2 - 88*u**3 + 65*u**3 + 156130300*u**2.\nAnswer: -23*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujdddjddze. Give prob of sequence uje.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 - -0.6. Let j = 2\/9 + 1\/36. Let o = -0.06978 + 0.16978. What is the closest to -2\/3 in w, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**6)\/x**(-8)*(x\/x**2)\/x*(x\/(x*x*x**(-3)))\/x)**(-13))**17 assuming x is positive.\nAnswer: x**(-442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(1\/7)\/(n**(-6)*n\/(n*n\/(n\/((n*n**(4\/7))\/n*n))*n)) assuming n is positive.\nAnswer: n**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13750113.\nAnswer: 3, 13, 23, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011 (base 4) in base 14?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.437845um to meters.\nAnswer: 0.000000437845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*h + 195*h - 263590 = 97*h. What is the ten thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4282\/5 - -856. Put 5, -10.7, l in descending order.\nAnswer: 5, l, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(208) - 2*2*sqrt(208)) + 3)**2.\nAnswer: -72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10780 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 0, -2, -12, -30 in descending order.\nAnswer: 0, -2, -12, -30, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16173)\/(-2) - (-16)\/(-80). Let x = h - 8077. Find the common denominator of (1\/(-8))\/(-1) + 1 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 9 + -6 + 2 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**4\/12 + q**3\/6 - 26*q**2. Let z(x) = 5 - 3 + 1 - 4*x. Determine -5*y(p) + 2*z(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from dkkkckcdccccdc?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3920 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12657588 by 204.\nAnswer: 62047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afaa when four letters picked without replacement from {a: 5, h: 7, f: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 73*z**4\/4 + z**3\/3 - 5*z**2\/2 + 11*z + 120. What is the tens digit of o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67799)\/2 + 1*(-7)\/14. Round s to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782419987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3814, 3241, 2286, 949?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c - 4. Let y be j(4). Suppose y*b + 2*b = 8. Suppose m + u = 6*u + 40, 5*m = -b*u + 84. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {f: 1, g: 1, r: 2, j: 5, y: 2, k: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/3)\/s*s*s)\/s)**(-4\/25)\/(s**6*s\/(s*(s\/(s**(-4\/9)*s))\/s)*s)*((s*s**0*s)\/(s\/(s**5*s)))**(-2\/187) assuming s is positive.\nAnswer: s**(-323294\/42075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 21*x - 59 - 102 = 16*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/24*32\/(-6). Suppose 32 = t - f. Suppose 5*v - 3*w - t = 0, v = 6*v + 3*w - 10. What is the lowest common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203\/4 + 51. Let t be (312\/(-273))\/((-8)\/(-14)). Which is the third smallest value? (a) t (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4561421 (base 10) to base 13.\nAnswer: c39287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3414 divided by -191.\nAnswer: 3414\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 74, -151 in increasing order.\nAnswer: -151, 74, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14978 + 5396 = -3*d. Suppose 306 = -8*f + d. Suppose 4*a + 89 = f. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 196 + 164 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 3*u + 0*u - 27 = 5*t. Let b = 189 - 89. Let l be b\/5 + -4*1. Solve -8 = 2*z, -4*q + 7*q + u*z = -l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 52*b**2 + 101*b - 41. Let d be m(50). What is the nearest to d in -1\/3, 5, 0.13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679661963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*d + 20, -a + 4 = -2*d - 1. Let k be (5 - 4)*(-1 + d). Calculate the least common multiple of 8 and k\/(-2 - (-21)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22184 - 1478 + 4334 = -604*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*s + 2*s + 295, 0 = 5*f + 3*s - 271. What is the greatest common divisor of 84 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -2 + 1 - -4) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 81*z**4 - 3 + 154*z**4 + 13*z**2 + 20 + 4*z**3 - 75*z**4 in the form i + m*z**2 + v*z**3 + d*z**4 + s*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34492 + 20092. Round t to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3333, 3300, 3267, 3234?\n\"Answer: -33*y + 3366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:38 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -32. What is the greatest common factor of z and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725241495 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (15 + (-11 - (3 + -18))) - (0 - -1).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718392833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -32*t. Let y(n) = 234*n**2 - 5*n. Give c(y(i)).\nAnswer: -7488*i**2 + 160*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 238*m + 1552. Calculate w(112).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 25*g**2 - g + 1. Let i be 43 - (0 + 1 + 0). Suppose 3*p = -0 + i. Calculate the remainder when l(-1) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*u - j - 2*j, -2*u + 4*j = 4. Sort u, 1, -5 in decreasing order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x + 2. Let k(z) = z**3 + 7*z**2 + z + 5. Suppose -2*g + g - 7 = 5*p, 5*p = 5*g + 35. Let o be k(g). Give l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2021?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(1 + 3 - 6) + 5 - 1 - 5)*(-2 + 0 + 4)*(3 - 2 + 1)*(4 - 5*f - 4).\nAnswer: 100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 12. Let h be ((-2)\/6)\/(x\/(-6)). Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1168, -2334, -3500?\n\"Answer: -1166*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/2, 981, -1, 4\/9, 1320?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21336185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from nknninwninninnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -108755670 to the nearest 1000000.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.84 + 4.84000467. What is v rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330560\/5159 bigger than 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 1195*l**2 - 2425*l + 3615.\nAnswer: 5*(l - 241)*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3075 = 3*q, -5*b + 3*q = 4*q - 3055. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*r**2 + 3*r - 3*r in the form u*r**2 + i + t*r and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c - 25 = -2*v, c = v - 5. Suppose -1091 = -v*p + 869. Let l = -34 - -62. What is the greatest common factor of l and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-37)\/22 - 12\/8 - -3. Let y = 0.8 + -2.3. Let x = y + 1. Which is the third smallest value? (a) 5 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(68)*4 + 1.\nAnswer: 1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 58. Find the second derivative of 171*p**3 + 37*p - 346*p**3 + 187*p**g wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -54. Suppose 10*j - 7*j - 12 = m. Suppose 0 = -85*v + 68*v + 102. Calculate the least common multiple of j and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.146*3.8.\nAnswer: -0.5548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2390 = -4*y - 950. Does 36 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - 66 - (0 + (-23 - 2)) - 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97352 + 97352 - 756*o**2 - 2449*o**3 wrt o.\nAnswer: -14694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 12 = 0, a + 0*a - 2*a - 10*o - 49*o - 15 = -65*o + 7*o for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 42*x + 49*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 d when three letters picked without replacement from jemdi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 31. Calculate p(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.035 + -50.035. Let p = 49.9911 + h. Round p to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times -4?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 1311 + 323 = 455. Solve -30 = -105*f + n*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/276150*-7)\/((-21)\/(-175)*5)?\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 - d**4\/6 - d**3\/3 + 3*d**2. Let z(u) = u**2 + 5*u + 3. Let c be z(-3). Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12508080 take away -10?\nAnswer: -12508070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/130 and 19\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37598 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(-9)*o)*o)\/o**(2\/37))\/((o\/(o\/o**(-1\/4)))\/o)**(6\/35))**(19\/3))**(-11\/2) assuming o is positive.\nAnswer: o**(-1099967\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:08 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 14. Let v be z(-7). What is the least common multiple of 11 and (60\/v)\/(12\/(-56) + 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1245163m in kilometers?\nAnswer: 0.0001245163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3)*1)\/(-2)*19\/(19\/45)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -70.998?\nAnswer: -28.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6569495264?\nAnswer: 2, 107, 1918661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 3, s: 9}. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72607 or -72616?\nAnswer: -72607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*c**3 + 129452*c**2 - 41*c - 2717 wrt c.\nAnswer: -66*c + 258904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1340.\nAnswer: 1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -461*t**6\/30 - 19*t**4\/12 - 2*t**2 - 99*t - 1. What is the third derivative of s(k) wrt k?\nAnswer: -11064*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -286817, -573636, -860455, -1147274, -1434093, -1720912?\n\"Answer: -286819*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -50*i + 405. Let x be f(8). Let n(l) = 7*l - 3. Let g be n(-3). Let h be ((-2)\/x)\/(g\/(-15)). Put h, 0.3, 14, 1 in decreasing order.\nAnswer: 14, 1, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48096*n**5 - 4*n - 62616 wrt n.\nAnswer: 961920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 2 + 3 - sqrt(2448)) + -5 + -4*(-4 + sqrt(2448)*-2 - sqrt(2448)))**2.\nAnswer: 4608*sqrt(17) + 352768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 579128 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.29. Let l = -0.09 - u. Which is the closest to -1? (a) -1 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = -9. Let a(u) = u**3 + 3*u**2 + 1. Let h be a(j). Let r = 2 - h. Solve -7 = 2*g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1289*h**4\/24 - 305*h**3\/2 - h**2 + 256. Differentiate b(n) with respect to n.\nAnswer: 1289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 12*f**2 - 24*f + 1. Let y be a(-10). Let g = -432 + y. Solve g + 6 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.18 and -240522.282.\nAnswer: -240523.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3362.375 + 3366. What is z rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 155*o**3 + 45*o + 1634 - 22*o - 326 - 23*o + 2*o**2 wrt o?\nAnswer: 465*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*h - 5936 + 1694, 0 = 4*l + h - 8493. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-23 - (9 - 13) - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100\/3*g - 8*g**3 - 98\/3*g**2 + 0.\nAnswer: -2*g*(g + 2)*(12*g + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*r + 16, 3*k = -5*r - 7 - 7. Let s be (k + 15\/(-9))*114. What is the second derivative of -s*c + 39*c - 2*c**2 + 3*c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 220 = 275. Let l(y) = 25*y - 9. Let w(d) = -12*d + 4. What is v*w(g) - 2*l(g)?\nAnswer: 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 941349180 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6090929903.\nAnswer: 251, 24266653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6 - 2*h - 11 - 5 + 7. Let z(k) = 6*k + 8. Give -17*j(w) - 6*z(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 + 790*u**2 + 181 + 1111*u**2 in the form l*u**2 + s + j*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195596664?\nAnswer: 2, 3, 8149861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/13 (c) 4 (d) -0.3 (e) -0.1303 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let l(s) = -269302*s. Calculate x(l(j)).\nAnswer: 538604*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112641500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 10495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -22*t - 1. Let p(s) = 11*s + 1. What is -3*n(o) - 5*p(o)?\nAnswer: 11*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 1984?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24979501 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372982914.\nAnswer: 2, 53, 12952669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 4*d. Suppose -34 = -d*t + t. Let p = t + -25. What is the lowest common multiple of 33 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5622*s - 103. Let q(y) = -11246*y + 180. What is 4*q(k) + 7*t(k)?\nAnswer: -5630*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g - 5*u, 4*g - g = 3*u - 6. Suppose 10*v - 24 = -g*v. Solve -5*i + 21 = 2*f, -v*i = 2*i - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*g - 227*g - p + 18 = 0, 23*p + 71 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*t - 4568*t - 6459*t.\nAnswer: -10878*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**2 - 1 + (21*l - 26*l - 46*l)*(998 + 11*l - 998).\nAnswer: -562*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20233 + -4?\nAnswer: -20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/75*((-12)\/(-2))\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, -143, -2 in decreasing order.\nAnswer: -2, -3, -33, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2584 - 2587. Let q = -2.8 - -3. Let k = -0.2 + q. Which is the second smallest value? (a) -0.2 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -372, 8, 2, -57, -2 in increasing order.\nAnswer: -372, -57, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:32 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8085030 divided by -97410\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(25 - 4*w - 25)*(-2*w + 4*w - 4*w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.7 from 291.763262.\nAnswer: 301.463262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 285421, 285392, 285363, 285334, 285305?\n\"Answer: -29*l + 285450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7*-33*2\/(-30)*10\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 3, s: 1}. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -30. Suppose -4*t + 15 = 3*i, 5 = -2*i + 3*i + r*t. Which is the smallest value? (a) 0.1 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 47*s + 265. Let w be v(9). Let q(r) be the third derivative of 2*r**2 + 0*r**3 + 0 + 1\/6*r**w + 0*r. Let n(d) = 5*d**2. Give n(q(u)).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -711254, -1422510, -2133770, -2845034, -3556302, -4267574, -4978850?\n\"Answer: -2*y**2 - 711250*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25872, -1\/9, 1, -0.02, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:37 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -557, 3, -2\/13, -2?\nAnswer: -557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 4 - 4)*(-6 + 1 - 2) + 7*h + 10*h + 16*h.\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 79. What is the third derivative of -16*m**x - 20*m**3 + 20*m**3 + 26*m**2 wrt m?\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73.351+5\nAnswer: -68.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 9*p**5\/20 + 2*p**3\/3 + 7*p. What is the second derivative of s(d) wrt d?\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -2*m. Let u(x) = x**2 - 9*x. Let d be u(9). Let t = -3 - -5. Solve 3*c + 4*q - 3*q + t = d, -4*c = -q - m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897\/135636 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49616358?\nAnswer: 2, 3, 11, 751763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f. Let n(o) be the second derivative of o**3 - 53*o. Let r(a) = -6*n(a) - 5*u(a). Let h(c) = 55*c**2. Determine h(r(v)).\nAnswer: 55*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a7a6 + -2?\nAnswer: 4a7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 650 and 34346.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 + 0*k**5 - k**5 + (35*k - 29*k + 190*k)*(-2*k**4 - k**4 + 0*k**4) + (-3*k - 3*k + 5*k)*(-k + k - 3*k**4).\nAnswer: -583*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12618 + 12618 + 11*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15329516 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/60*4)\/((-130)\/6500)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 14 = 2*x, -5*z = -z + 2*x + 26. Let h = -174 + 173.655. Let i = -0.345 - h. Sort 1\/4, z, -5, i.\nAnswer: z, -5, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2*v\/(v**(-2)*v)*v)\/((v\/(v\/v**(-3\/4)*v))\/((((v**(5\/4)*v)\/v)\/v*v)\/v*v)))\/(v**5\/((v*v\/v**(1\/8)*v)\/v))**(39\/2) assuming v is positive.\nAnswer: v**(-831\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 284.8824 centuries?\nAnswer: 341858.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*m + 2 = -m, -5*l - 4*m = -31. Solve l*q + 1 - 10 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -42, -91, -146, -201, -250, -287, -306?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**4 + k**2 - k. Let f(q) = -38*q**4 + q**3 + 4*q**2 - 4*q + 310. Let u(m) = f(m) - 4*t(m). Differentiate u(i) with respect to i.\nAnswer: -136*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/3, -3\/7, 4?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -331607*s + 533. Let n be a(19). Round n to the nearest one hundred thousand.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 2. Let h be f + 14\/8 + 3\/12. Solve 0 = 4*s - 0 + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 390 = 2*v. Let r be (1 - -5) + v\/(-26). Suppose 0 = 4*g + r*d - 1 - 8, 3*g - 2*d + 6 = 0. Which is the closest to -2? (a) g (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1263f1 - 14?\nAnswer: 1263dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 308.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 1588272608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6*z = 112. Let t(j) = -j**3 + 15*j**2 + 17*j - 18. Let l be t(z). Put 30, -1, l in ascending order.\nAnswer: l, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:12 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.2 + 132. What is h rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8, 2, 0.3, 0.5 in increasing order.\nAnswer: -8, -0.2, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11 = -3*l, 1 = -p + 2*p + l. Suppose -5*b = c + 1, 5*b + p*c = 8 - 5. Do b and -2\/271 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2 - 11 - 3 = 0, -61 = -o - 3*i - 36 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 828*d**2 - 22*d - 54. What are the prime factors of x(-2)?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148217518 times 0.3\nAnswer: -44465255.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 5*o + 0*o + o. Let m = 8 + -6. Let s(u) = -2*u**2 + 0*u**2 + u**2 + 3*u**m. What is a(s(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 + 8*y + 11. Let t = 1151 - 1147. Let z(n) = 4*n**2 + 3*n + 4. Give t*c(r) - 11*z(r).\nAnswer: 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115765921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let c = 65 - 60. Let z(q) = 4*q + 6. What is c*g(i) + z(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5294 + -160640390?\nAnswer: -160640393.5294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - u + 7. Let s be y(-2). Let z(k) = -20*k**2 + 30*k - 70. Let p(w) = 4*w**2 - w + 1. Let j(l) = s*z(l) + 6*p(l). What is q in j(q) = 0?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1624 + -2102673?\nAnswer: -2101047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230821735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*x**4\/3 + 589648*x**3\/3 + 2965538*x**2\/3 + 2482652*x\/3 + 35440 = 0. Calculate x.\nAnswer: -1329, -4, -1, -10\/221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z - 109. Calculate the remainder when 96 is divided by h(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -4 - (18 - 7) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 6, t: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 1. Let p = -2 + 1. Let s = -2 - p. Which is the nearest to x? (a) -4 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 12 - 14)*(-1 + 13*z + 13*z + 3*z**3 - 22*z) to the form c*z**2 + n*z**3 + o + m*z and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 4, 1 in ascending order.\nAnswer: -5, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 5, b: 1, i: 3}. What is prob of picking 3 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -73\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1\/3*x**2 + 4 + 2\/27*x**3 + 4\/9*x. Find g such that d(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 30*q**2 - 15*q + 10. Let x be n(-15). Calculate the greatest common divisor of x and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3\/5 - 91266552*b**2\/5 - 365066244*b\/5 - 365066256\/5 = 0. Calculate b.\nAnswer: -2, 30422188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 10}. Give prob of picking 2 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*k - 35 = 4*h, 2*k = 4*h + 10. Let y(g) = g**2 + 2*g + 2. Let r be y(-2). Let o = -165 - -162. What is the nearest to r in 2\/3, o, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*q - 101, 5*q + 107 = 4*k - 6*k. Let n = q + 25. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8*y + 7)*(-y + y - 2*y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 1515 = -6*k. Suppose -a + 2*a + g - k = 0, 0 = -3*a + 5*g + 877. Suppose -477 = -5*r - 3*x, -x = 3*r + 4*x - a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2850716.61 to the nearest one thousand.\nAnswer: 2851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -316030 by 22.\nAnswer: -14365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007616 rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/40 or -35?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -1211?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61840, -123683, -185526, -247369?\nAnswer: -309212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3626 + 4?\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17862 - 17501. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 802860 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/241025 and -67\/8400.\nAnswer: 80984400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7*12\/42)\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2 - 5. Suppose -5*d = -q - 20, -q - 17 = d + r*q. What is the highest common factor of d and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151589\/20 - 7579. What is the common denominator of y and (1\/(-4))\/(115\/142)?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79068 in -0.3, -27, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13241231 + 2?\nAnswer: 13241233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 - 14 = -2*c, 2*d - c - 5 = 0. Suppose d*q = q. Suppose q = 5*u - 22 - 8. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54062 + 30364?\nAnswer: 114456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1675 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14888 = q - 231. Let s = -332711\/22 + q. What is the common denominator of s and 89\/196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15522827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4))**2*5.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) -5575 (d) -41 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.1. Let j be (2\/(-6))\/((-26)\/(-156)). Is s at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*x + 10*x - 45 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -193. Let y(m) = m**2 + 10*m - 34. Let v be y(a). Solve 2*n + 26 = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 3. Let h(a) = a**2 + 4*a + 1. Let i be h(-5). Let o(f) = 12*f + 17. Determine i*o(t) - 34*k(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/3, 3, -0.3, -13 in descending order.\nAnswer: 3, -0.3, -4\/3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*l, 0 = -3*g + 178*l - 180*l - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 49866.\nAnswer: 448794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 31*v**2 - 2*v - 1. What is the tens digit of b(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxtxttttttxtt. Give prob of sequence ttx.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let p(o) = -1305*o**2 - 378808 + 378808. Give p(f(z)).\nAnswer: -1305*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 - -3)\/(-8 - -5). Let t(n) be the second derivative of 0*n**2 + 0 + 0*n**i + 1\/39*n**4 - 3\/130*n**5 + 1\/195*n**6 + 7*n. Factor t(q).\nAnswer: 2*q**2*(q - 2)*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((-4)\/(-14))\/(-2) + 9 + -53 + -6.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 357 + 715 - 354.\nAnswer: 59*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 34*o - 1. Let z be b(6). Let h = 90 - z. Put h, -57, 5 in descending order.\nAnswer: 5, h, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 266013969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from lnyll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -418, -432, -446, -460, -474?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36340.77 nanometers?\nAnswer: 0.003634077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 486835 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292991 litres in millilitres?\nAnswer: 292.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.319 in -4, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 140 = 4*b. Suppose 15 = -5*r + 3*h, 5*h + 0*h - b = 5*r. Suppose r*p = -3*p + 30. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*m + 28*m - 498 = -41*m. Solve -12*t = -m*t + 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - 4) + 1141\/7 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13125300 and -0.5.\nAnswer: -13125300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(759\/(-23))\/99?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 3*v - 227 = 0, -3*k + 5*v = -162. Calculate the highest common factor of 295 and k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-4))\/(15\/(-6) + 3). Suppose -u + y = 2. Let p(w) = 0 - 5*w + 4 - w**2 - w + u. What is p(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*a**2 - 312*a**2 + 154*a**2 - 4.\nAnswer: -8*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 1 q when three letters picked without replacement from {k: 3, t: 1, q: 16}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 102051.4 kilometers in meters?\nAnswer: 102051400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.997672 decades?\nAnswer: 839.72064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/((-54)\/3132). What is the greatest common divisor of 10 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -389*m**2 + 183591*m + 8023. Determine p(472).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -802686 * 0.1.\nAnswer: -80268.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/24 + 2230*v**2. Let r(s) = 5*s + 232. What is r(n(m))?\nAnswer: -5*m + 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13113752 (base 9) in base 11?\nAnswer: 3702830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/10)\/(12\/8). Which is the second biggest value? (a) -5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 37 = -2*s, -5*s - 115 = -3*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -70. Suppose -z = -5*n + 4*t, -5*t - 2 = -n + 16. Let o(h) = 0*h**3 + 10*h + 2*h**n - 6 - 7*h**2 - h**3 - 3*h. Calculate o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:16 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1031343020200?\nAnswer: -1031343020142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4945, -4920, -4895, -4870?\n\"Answer: 25*v - 4970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-78)*(-96)\/((-11808)\/(-15457))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 + 15 = 0. Is (((-541)\/u)\/(3\/9))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 209*j**2 - 83*j**2 + 22*j**2 + 232*j**2 as m + u*j**2 + s*j and give u.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1115139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 706118 + 1412250 - 706132.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 greater than -1503\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-125)*(-3)\/(-24)*-36\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -674*u**5 + 676*u**5 + 2*u**2 - 3651*u**3 - 199*u + 2*u**2 - 3185*u**3 + 1067*u**3 wrt u.\nAnswer: 120*u**2 - 34614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-1 - 4\/(-12)). Let g = 0.13 + 0.07. What is the second biggest value in h, g, -0.6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) -9639 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 5*y - 9 + 12, 4*y + 5 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 9*j**2 - 3*j - 3. Let p be 10\/55 + (-436)\/(-22). Suppose p = -5*q - 25. What is the units digit of c(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36184313?\nAnswer: 11, 17, 23, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5236556636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*k = -159*k + 25466. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 75*z**3 + 588*z**2 - 1548*z + 1296.\nAnswer: 3*(z - 12)*(z - 9)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5900210804247+-0.7\nAnswer: 5900210804246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 154ab (base 12) to base 13\nAnswer: 10901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 38*p**2 - 87*p + 544. Determine w(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 4*b)*(49*b + 44*b - 146*b)*(0*b**3 + 2*b**3 - b**3).\nAnswer: 212*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13538*p**2 - 9743*p - 74. Let c(o) = 6764*o**2 + 4872*o + 34. Let q(g) = -13*c(g) - 6*k(g). Find the second derivative of q(r) wrt r.\nAnswer: -13408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1\/4, 1468221, -4, 1\/4 in increasing order.\nAnswer: -4, -3\/7, -1\/4, 1\/4, 1468221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. Let r(i) = -3*i. Let s be r(x). Let h = 3 - s. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46448927 to the power of 1\/2, to the nearest integer?\nAnswer: 6815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 215380\nAnswer: 215380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 462953738 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.23.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 1, t: 4}. Give prob of picking 2 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = -0. Which is the second smallest value? (a) 1\/4 (b) y (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 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: What is the closest to -2\/9 in -10\/29, -1\/2, -4\/7?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12\/11 + 16\/55. What is the nearest to 0 in 4, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -7. Sort t, 7, -1.\nAnswer: t, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-6\/17)\/n))**39\/(n**(-16)*n**(-12)) assuming n is positive.\nAnswer: n**(2036\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -346\/9 = -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {m: 3, h: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1327*f**3*h - 10532*f**3 - 2*f**2*h + 9*h wrt h?\nAnswer: 1327*f**3 - 2*f**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4538150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.8, -1\/2580 in descending order.\nAnswer: 8, 0.8, -1\/2580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -4) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 14*n + 8*n - 3*n - 2*n + 4*n + (0*n + 2*n - 4*n)*(2 - 1 - 2) + n - 2*n + 2*n + 4*n - 2*n + 0*n + (-2 - 7 + 1)*(15 + 8*n - 15))*(4*n - 5*n + 2*n).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 19*c**3 - 21*c**3 + 3*c**2)*((-4 + 29 + 18)*(0 + 0 - 2) - 5 + 2 + 2)*(-1 - 1 + 4).\nAnswer: 348*c**3 - 348*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by 343\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4 - 20 = 0. Let o(u) = 2*u**3 - 3*u**2 - k + u - 4*u + 2*u**2 - 3*u**3. What is o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911222 is divided by 176?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-93) - ((-201804)\/402)\/(620\/14). Let 54\/5*w**3 - g*w + 3\/5*w**5 + 33\/5*w**4 - 6\/5*w**2 - 27\/5 = 0. What is w?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 13 = 4*o, 1366*i = 1154*i - 4*o + 1048 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:27 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52717 or -52719?\nAnswer: -52717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74305 and 2310?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*q**2 - 180*q**2 + 355*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -2, -2\/7, -1\/4, -51, 105, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-9) - (-1)\/3. Suppose h = 5*y - 1 - 5, -t = -5*y. Is 9 a factor of h\/(-3) - (-106)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160880020.\nAnswer: 2, 5, 17, 61, 223, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 3, m: 1, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4813289 > -14439863\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 14642269290.\nAnswer: 14642269289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.121 + -3.121. What is the nearest to 1 in j, -4, 9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341317847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10*(-2)\/6. Let d = -149 - -149.3. What is the third smallest value in j, 1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 3, c: 3, m: 1, v: 3, x: 2}. Give prob of sequence sd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.3, 2\/3, -15, 292?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*(-9)\/2. Suppose -d - 2*u = -b*u, -2*d - 5*u + 13 = 0. Let j(h) = -h**2 - 4*h + 1. Let c be j(-5). Put d, 0, c in decreasing order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -2\/3, -3\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4235, 8468, 12701?\n\"Answer: 4233*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27817 is divided by 13833.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 698, 751, 808, 869, 934?\n\"Answer: 2*f**2 + 47*f + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5589 - 843 = -226*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215 and 344.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -907924*o**3 - 133956*o**2 - 6588*o - 108.\nAnswer: -4*(61*o + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9033, -9066, -9101, -9138, -9177?\nAnswer: -9218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31757 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: How many minutes are there between 12:50 AM and 1:25 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(384)*-2)\/sqrt(12).\nAnswer: -8*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (147*(-52)\/1092)\/(1 + (-3)\/4)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2271, 20, -363 in ascending order.\nAnswer: -363, -5, 20, 2271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0*l\/l**(-28) assuming l is positive.\nAnswer: l**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/((-86)\/516).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-24)*2\/(-5)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-5) - -7 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10.9 (b) 24 (c) -9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, g: 2, v: 1}. What is prob of sequence wvkg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63301 is divided by 293.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (40 - 47 - 2 - (-27 - 1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 243*x - 19. Let z be m(1). Suppose -8*c + 1471 + 321 = 0. Is z <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, i: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2\/2 - 390*y - 18415\/2 = 0. What is y?\nAnswer: -127, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 1360*q + 462400 = 0. Calculate q.\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.1. Which is the nearest to 2? (a) 0.6 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6304762g in nanograms?\nAnswer: 630476200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -4*f = -5*w - 51, -c*w = f - 3 - 13. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 + 948*l**4 - 8524*l**3 - 125796*l**2 - 95440*l + 228816 = 0.\nAnswer: -7, -2, 1, 18, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 5d813b0?\nAnswer: -5d813b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*f**3*i**2 + 432*b**2*f*i**2 - 5*b*f*i + 4*b*i**2 - 3*f**3 wrt b.\nAnswer: 6*f**3*i**2 + 864*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-82)\/(-4) + 45\/(-30). Suppose l*y + 3*y = 660. What is the lowest common multiple of y and (-284)\/(-14) + 2\/(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.1 (c) 3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*j + 18 = 103*j - 4*l, 2*l + 24 = 7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000542326024 to six dps.\nAnswer: 0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079794 at most as big as 4079793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/50 and -34\/1475645.\nAnswer: 14756450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -20. Let p be 0 - (0 + t\/12). Let j be 1\/(-3) - (-8)\/6. Is p not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482*o + 24181938 = -464*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:52 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose 145 = d*f - 687. Let x be f\/20 - 4\/10. Solve 5 = 5*o - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3358880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3*(-4)\/16*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4074 + 9766 - 2553 + 683)*((0 - 2*u + 0)*(5*u**2 - u**2 - 5*u**2) + 0*u - 3*u**3 + 0*u) in the form o + n*u + d*u**2 + i*u**3 and give i.\nAnswer: -11970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 241265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 2*m**2 - 2*m - 4. Let k be r(-3). Suppose 0 = -13*o + 11*o + 28. Suppose t + o = k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2)*5 - (sqrt(18) + 5)) + -1 - (4 + sqrt(242)*-2 + -3)**2.\nAnswer: -985 + 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -156, -311, -474, -645, -824, -1011?\n\"Answer: -4*o**2 - 143*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164395 - 114919. Is q a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8455 and 29545.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1168, 2337, 3506, 4675, 5844?\nAnswer: 7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/22880 and -43\/6085.\nAnswer: 27844960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 455 + 1319 = 0. What is the smallest common multiple of 9 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 284067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/21))**34\/(p**11)**(-4) assuming p is positive.\nAnswer: p**(890\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 3*i**4\/2 + i**3\/3 + i**2\/2 - 2*i + 2. What are the prime factors of p(2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*f - 30806 = 0, 0*b + b = -f + 7697. Round b to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 114180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 10*m**3\/3 + m**2 - 3*m + 3. Calculate the remainder when z(3) is divided by (-671 + 647)\/(0 + 6\/(-4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = -2*y + 28, -3*a + 3*y - 3 = 0. What is the nearest to -0.9 in 1\/6, 2, a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 11*w - 5. Calculate c(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 131 - 5*p + 120 + 129 - 380. Let r(z) = -131*z**2. What is r(s(c))?\nAnswer: -3275*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hih when three letters picked without replacement from iiihiih?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - -15 - 6\/1. Suppose 2*b + 5 = -0*s + s, d = -b. Solve 0 = -w + x + x + s, 3*x - 4 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4 - 64*m**3 - 308*m**2 - 536*m - 288 = 0. What is m?\nAnswer: -9, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/4 + 13*g**3\/4 - 53*g**2\/2 + 38*g.\nAnswer: g*(g - 4)*(g - 2)*(g + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.3 and 155980?\nAnswer: 155977.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 1, 115, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from {q: 4, h: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.313 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*2 + 1 + sqrt(468) + (sqrt(468) + 1)*3 - -2*(sqrt(468) + -1 + sqrt(468) + 2 + -4))**2.\nAnswer: -240*sqrt(13) + 46804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30821566649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13889936, -27779867, -41669798, -55559729?\n\"Answer: -13889931*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - o = 4*o + 12, 12 = 5*s - o. Suppose 0 = -s*p - 4, -6*j + 74 = -2*j + p. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x - 4. Is 20 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511\/292*(-110)\/(-1925)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c, 5*g = 2*c + 65 - 10. Let a be 39\/(-2)*76\/(-57). What is the greatest common divisor of g and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45034, 45037, 45040, 45043, 45046?\n\"Answer: 3*t + 45031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*w + 26, -5*b = -0*b + 4*w - 10. What is the nearest to 0.1 in 6, -3\/4, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -726 by 5.\nAnswer: -726\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3*q**4\/16 - 5*q**3\/4 + 171*q**2\/8 - 1314*q + 2. What is k in f(k) = 0?\nAnswer: -19\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56057504 less than 198.211?\nAnswer: -56057305.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(102) - 2*sqrt(102) - sqrt(102))*-3 - sqrt(102)))\/(1*sqrt(18)\/sqrt(3)*1).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -725 + -43.3388\nAnswer: -768.3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28850 + 28854. Which is the third smallest value? (a) -5 (b) 1\/4 (c) -58 (d) m (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 38 = 2*k, 21787*l + 53 = 21783*l - k for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - y - 1. Let p(u) be the third derivative of u**6\/20 - u**4\/12 - u**3\/6 - 7*u**2 + 1. Give -3*p(q) + 5*w(q).\nAnswer: -3*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 5*n - 5*n)*(594 - 8040 + 1485 - 16639) to the form w + x*n and give x.\nAnswer: 45200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 3141517?\nAnswer: 3141520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117*f**3*h**3*q**3 - 40*f**3*h**3 + 4*f**2 - 15*h**3*q**3 + 18*h**2*q**3 wrt f?\nAnswer: -702*h**3*q**3 - 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5675 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581157 divided by -9.\nAnswer: -64573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192.451 + 192. Let y = s + -0.049. Let o = -10 + 3. Which is the smallest value? (a) o (b) y (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 38, 61, 88, 119?\n\"Answer: 2*g**2 + 13*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 23. Let g be v(-18). Suppose -9*u - 332 = -g*u. List the prime factors of u.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Let t(l) = 26*l - 86. Does 9 divide t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(2\/8))\/(-18))\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**5\/100 + 217*l**4\/20 - 108*l**3\/5 + 12867*l. Let y(m) = 0. Calculate m.\nAnswer: 0, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (483 + -1)\/(14 - (-6 - -18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 27, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*z - 6014 + 6010 = 0, -4*i - 2*z = -0*i + 36 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 3*w**2 + 4*w + w**3 - 2*w**2 + 2*w**2 - 1. Let i be y(3). What is the tens digit of (-6)\/i*(3 + -35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66394*m = -66412*m + 2484. Calculate the least common multiple of m and 243.\nAnswer: 11178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813, 3279, 7405, 13203, 20685, 29863, 40749, 53355?\nAnswer: 67693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:26 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 5*u**2\/2 + 12*u + 93. Let w = 16 - 11. Does 29 divide f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-8))\/(1\/6). Let o(d) = 5*d - 8 - 7*d**2 + 0*d - d**y + 2*d. Let f be o(-8). Sort f, 4, 2, 1.\nAnswer: f, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose z = 4*x - 6. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4281666?\nAnswer: 2, 3, 713611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2804, 5, 1 in descending order.\nAnswer: 5, 1, -2804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -978 or -981?\nAnswer: -978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10283 and 5003.\nAnswer: -51445849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139061?\nAnswer: 13, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.899 - 33.399. Which is the closest to -21? (a) -0.4 (b) -5 (c) -0.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.1689 millennia in decades?\nAnswer: 53316.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from {i: 4, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -66*k**3 - 18*k**2 - 18*k. Let f(l) be the first derivative of 19*l**4\/4 + 5*l**3\/3 + 5*l**2\/2 - 1424. Give 18*f(p) + 5*n(p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t**3 + 24*t**3 + 22*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 125*t + 42. Let v be a(-42). Solve 0 = -v*k - k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-146)\/(-10) + 2\/5. Let z(x) = 4*x**2 + 11*x + 8. Let k(v) = v**2 - 8*v - 86. Let b be k(-6). Let h be z(b). Solve -h*i = i - y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -43, 42, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10206 + 254?\nAnswer: -6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17695720 divided by -4?\nAnswer: 4423930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3029 (base 11) to base 7.\nAnswer: -14506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**2*g**2 - 3*a**2 + 30*g**2 wrt a.\nAnswer: 14*a*g**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1358 + -1348. Solve 8 + u = 9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(((-24)\/16)\/(1\/(-2))). Which is bigger: -5\/12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290507 is divided by 112?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 16*q = 10*q + 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 89 + (0 - -1)\/((-13)\/(-39)). Suppose 2*w + 5*q - a = 0, q + 2*q = -3*w + 120. Suppose -90 = -5*f + 2*s, 5 + 26 = f - 3*s. Solve 5*m - f = -w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38225, -152961, -344185, -611897, -956097, -1376785?\n\"Answer: -38244*n**2 - 4*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131665 is divided by 14470.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -71*o + 0 - 1\/6*o**3 + 0*o**2. Let k(v) = -268*v. Calculate c(k(p)).\nAnswer: 268*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273906 is divided by 430.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-18))**37 assuming y is positive.\nAnswer: y**(-666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 20*g + 131. Let d be h(5). Solve 10*o - 4 = d*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**6 + 5*x**3 - 986*x**2 wrt x.\nAnswer: -720*x**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*d**4 + d**3 + 2*d**3 - d**3 - d**4 + (6 - 3 - 1)*(3*d**4 + d**4 - 2*d**4) + (-d**2 + 0 + 0)*(-d + 2*d**2 + d) + 36*d**4 - 33*d**2 + 33*d**2.\nAnswer: 39*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -152846, -305709, -458568, -611423, -764274, -917121, -1069964?\n\"Answer: 2*y**2 - 152869*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 52, 36036, -0.2 in increasing order.\nAnswer: -4, -0.2, 52, 36036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/660 - j**5\/66 - j**4\/6 - 16*j**3\/33 + 151*j**2. Factor c(m).\nAnswer: 2*(m - 8)*(m + 1)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(2 - -1 - 1). Suppose -2*r = -5*r - f*z - 8, 4*r + 4*z + 16 = 0. What are the prime factors of r + 0 - -1*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-19) + 57710\/30248?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwxwxv. Give prob of sequence wv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3\/135*6*((-342)\/798 + (-101)\/(-154))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -97, -135, -137, -91?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -431 - -434. Let i(a) be the first derivative of -7 + 7\/3*a**g + 0*a + 0*a**2. Let t(y) = -2*y**2. Determine i(t(v)).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttpp. Give prob of sequence ptt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 513, 1, 2, 3, -0.2?\nAnswer: 513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.03 - -3. Let y = 4.97 - s. What is the smallest value in y, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 966950.8 millilitres?\nAnswer: 966.9508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.9 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*b = -361*b - 336 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/2365 and 46\/1833993.\nAnswer: 100869615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (89\/(-267))\/(10\/24)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.92869 days in weeks?\nAnswer: 29.13267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*f + 4 = -290*f. Suppose -f = -u - 5, 0 = 4*n - 4*u - 12. Solve -12*h + 9*h = n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -41, -76, -125, -188?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126347.\nAnswer: 19, 111913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2900 and 2610.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36886081147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5390, 11147, 17276, 23777, 30650, 37895, 45512?\n\"Answer: 186*l**2 + 5199*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 1. Let b be p(-3). Suppose 0 = 3*z - 5*z + b. Suppose -8*k - 1 = -33. Put k, z, -4 in descending order.\nAnswer: z, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12*b = -650. Calculate the greatest common divisor of 25 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o - 58*o - 5*c - 31 = 0, -5*o - 49 = -4*c. Let r(d) = d**3 + 9*d**2 + 7. Give r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)*o**2)\/((o*o\/o**(4\/3)*o)\/o**(-4)))**(-5\/6))**(-22) assuming o is positive.\nAnswer: o**(-935\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75230321071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -8*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 43197453?\nAnswer: 86394906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-220))\/(6\/4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*h**3 - 46*h**3 + 45*h**3 + (-3*h - 9*h + 6*h)*(-5 + 0 + 4)*(-h + h**2 + h).\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -238.8 - -207.8. Sort w, 4, 0.4, 13, 0.\nAnswer: w, 0, 0.4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**3*l - 3*d**3 + 3622*d**2*l + 416906*l with respect to d.\nAnswer: 15*d**2*l - 9*d**2 + 7244*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7324 + 7336. What is the lowest common multiple of 138 and r?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147834 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -646.009 - -645. Let u = -93.791 + m. What is u rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-965)\/(-2))\/(6\/45*60\/432). Calculate the greatest common factor of c and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3433 divided by 12.\nAnswer: 3433\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-2\/5)))\/l*l**(-1\/12)*l*l**(-5)\/l**(4\/7))\/((l**7\/l*(l\/l**7)\/l*l)\/((l\/(l\/l**(-1\/3)))\/l*l)**28) assuming l is positive.\nAnswer: l**(-6127\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8224712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 13. Let o be v(9). Suppose q + o = -x, 7 = -2*q - 1. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-135)\/10)\/((-6)\/8). Let k = -4 + c. Let y = -3 + k. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -31) + -28 + 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 40*r**2 + 42*r + 1. Let i be u(-21). What is the closest to 0 in 2\/13, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8586851 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27045 is divided by 294.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - l - 2*l + 115 = 0, -611 = -5*k - 3*l. List the prime factors of 2145\/4 + (-31)\/k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from {t: 2, s: 3, v: 7, i: 1, k: 3, r: 1}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652700927 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 648413064 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 - 5*n**2 - 7*n - 2. Let w(v) be the first derivative of v**4\/2 - 4*v**3\/3 - 3*v**2 - 2*v + 53. Calculate -4*k(h) + 5*w(h).\nAnswer: -2*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18079.\nAnswer: 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59\/9 + 56\/9. Sort q, 1\/7, 2, 1\/9 in increasing order.\nAnswer: q, 1\/9, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + 4*f**2 - f - 8. Determine c(6).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224190 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 50*o - 1209. Determine d(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*s - 21. Suppose 4*d + s*c - 3 = 5, d + 4*c = -11. Let h be 0 - ((4 - d) + -3). Solve h*x - 17 = -2*n - 3, -3*x - 6 = -4*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 172489734?\nAnswer: 172489728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*j - 75, 0 = -92*j + 94*j - 3*p - 51. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-12)\/108*6)\/((-8)\/9264) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 11*k**5\/120 + 17*k**3\/6 - 13*k. Let t(i) be the second derivative of y(i). Let n(z) = 4*z - 24 - 46 + 70. Give t(n(j)).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/8 + 605*p**4\/48 - 205*p**3\/6 + 506*p**2. Factor g(j).\nAnswer: 5*(j + 41)*(3*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 35*x**3 - 2*x + 233*x**3 + 0*x.\nAnswer: 198*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6)*(-1037)\/6222)\/((-4)\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 55*u = -294 - 488 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 7, 163 in descending order.\nAnswer: 163, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35446 + -10841. List the prime factors of t.\nAnswer: 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41604 - 17088. Does 100 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16374 - 10189. What are the prime factors of d?\nAnswer: 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.6, -8, 3, -0.1?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -618*z**4 - 1908?\nAnswer: -2472*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g*q**3*t + g*q**2 + 10*g*q*t**3 + 7*q**2*t**3 - 10*q*t**3 + q*t wrt q?\nAnswer: -30*g*q*t + 2*g + 14*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*c = -2, -25*n - c - 7 = -27*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -425.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -314, -453, -648, -899, -1206?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-59.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - 5*f - 4. Suppose 369*x - 357*x = 60. Let g(j) = -j - 1. Calculate x*g(n) - k(n).\nAnswer: 7*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 513.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.09, 1, 293, 18?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -10, -8\/17, -13, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 3*q**2 + q - 1. Let n(c) = 18*c**3 + 2*c**2 + 8*c - 8. Give 8*d(o) - n(o).\nAnswer: -10*o**3 + 22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015501427 to 6 decimal places.\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1631 and 699.\nAnswer: 4893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/3 + 43. Which is the second smallest value? (a) -1 (b) n (c) -3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-577*u**2 + 303*u**3 + 577*u**2)*(-4*u + 3*u - 2*u) to the form s*u**4 + o + a*u**3 + b*u + i*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1561437*-0.05.\nAnswer: -78071.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-6)*5463*(-60)\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011875 smaller than 18035626\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(32\/3)*24\/9. Find t, given that -2*t**4 + 110*t**2 - 20*t - 108*t**2 + 22*t - o*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1079 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121514 + -3?\nAnswer: -121521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.922, -5?\nAnswer: 0.922","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2*sqrt(91)*2 - sqrt(91)) + sqrt(91) - sqrt(91))*6)\/(sqrt(567)*4*5)*6.\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 52 = -2*j, -4*j = j - 20. Suppose 0 = 7*w - u*w + 4. Calculate the lowest common multiple of (w + 19)*(-32)\/(-40) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46228 and 594360?\nAnswer: 4160520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*z + 22*z - 44*z)*(-4 - 3 + 3) + 397 - 266*z - 397.\nAnswer: -338*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -5*n + 3*r, -3636*r - 3 = -n - 3634*r - 9 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14526\/23 - 51697988\/81857. Let i = -295381\/28472 - k. Let u = 2517\/2 + -4943\/4. What is the common denominator of i and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -13*s + 28. Let x be (2 - 20\/(-3)) + s\/42. Calculate the highest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*m**2 + 169*m**2 + 3*m + 7*m - 10*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -147701000 to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4240354 (base 8) to base 6.\nAnswer: -40122512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/96243?\nAnswer: -5\/96243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 - -18. Let p = -80 - l. Suppose 6*g - p*g = -2*u + 811, 2*u = -5*g + 1345. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 75 + 21 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -0.393?\nAnswer: 0.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5024971 or 5024972?\nAnswer: 5024972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244663 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m. Let u(f) = -f + 5*f**2 + 18*f - 17*f. Determine x(u(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 3*p**2 + 6*p - 10 + 2*p**2 + 11. Determine f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/7)\/(2028\/3549).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*4)\/(sqrt(392)*-2) + -5.\nAnswer: -5 - 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(1 + sqrt(175)).\nAnswer: 5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3568 + -1657. Suppose -3*y + 444 + 1495 = k, -k = -4*y - f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38913, -61129, -83345, -105561, -127777?\n\"Answer: -22216*s - 16697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/3)\/((-2)\/3). Suppose 0 = -5*g + p - 45, g + 15 = -0*p - p. Let q = j + g. Which is bigger: 1\/29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 + 11*w - 1. Let c be v(8). Let f = c - 16. Suppose 3*j = f*j. Let q(o) = -o - 1. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, t: 2, p: 4}. Give prob of sequence fft.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**3\/2 - 7*j**2\/2 - 2*j. Let z be p(5). What is the greatest common factor of 64 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-12))\/((-2)\/(-20)). Let s = 0 - -1. Let z be (0*s\/3)\/2. Put z, 3, c in descending order.\nAnswer: c, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/3 + 94*k**2 - 36300*k + 537200\/3 = 0. What is k?\nAnswer: -316, 5, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x**3 + 47*x**3 - 4*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 + 159. Which is bigger: i or 2\/249?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -75*2 + 6 + -2. Let j = y + 427. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21156033?\nAnswer: 3, 7052011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 518192887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 19*q**2 - 18 - 45*q**2 + 47 - 5*q + 25*q**2 + 2*q. Determine n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237\/316*((-16)\/84)\/(72\/420).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - t - 2)*(-3 + 3 - 1 + 3 - 4 + 2 + (0 - 5 + 3)*(3 - 4 + 4)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {l: 1, m: 1, u: 2, z: 2, p: 1, d: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 at most as big as 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, e: 5, u: 4}. Give prob of picking 4 u.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 - 4\/(-14). Let s = 82 - 821\/10. Sort u, 3\/4, s.\nAnswer: s, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p + 4 - 23*p + 35*p. Let n be g(4). Is (-4552)\/(-24) - n\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43.3 - 45.3. Is v < -4\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -26.3. Suppose 0 = 4*k + 2*p - 4*p - 8, 0 = -4*k - 2*p. What is the nearest to k in u, -1\/2, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 7. Suppose -9*u + v = -6*u. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 807, 1767, 2701, 3597, 4443?\n\"Answer: -2*n**3 - n**2 + 977*n - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74633*u - 54469?\nAnswer: -74633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6564. Let s(x) = 442*x. Calculate p(s(l)).\nAnswer: 442*l - 6564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 2. Suppose 2*y - 15 = -3*y. Let d(x) = 4*x + 0 + 6*x - y - 5*x. Calculate 4*d(u) + 7*q(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsefsff. Give prob of sequence esfs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2360 - 6253*x + 2360)*(3 + x - 3) as a + i*x + s*x**2 and give s.\nAnswer: -6253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(147) - ((2*sqrt(147))**2 - sqrt(147))) + 0 + (-4 + sqrt(15)\/sqrt(5))**2.\nAnswer: -569 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1040*f**4 + 583*f**2 wrt f.\nAnswer: 24960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.868 - -0.132. What is the fourth smallest value in -1, -0.5, q, 2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-3)*10\/16*(-7812)\/22785. Factor 24\/7*p**2 - m*p**3 - 6*p - 28.\nAnswer: -2*(p - 7)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/(-4) + 6\/24. Let r = c - -7. Is r != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*x - 347*x + 1972. Sort 77, x, 19, 5 in descending order.\nAnswer: 77, 19, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**3 + 7*u + 0*u**2 + 0 + 1\/4*u**4 + 1\/10*u**6 + 3\/10*u**5. Factor m(i).\nAnswer: 3*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 117 - (21 - -4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057506247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 73 + r + 5*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -3 (b) -3\/7 (c) -2\/3 (d) 1938 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 13, 7, -1, -11, -23, -37?\n\"Answer: -f**2 - f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let l(j) = 2*j. Let y(f) = -3*i(f) - l(f). Let z(u) = u**2. What is y(z(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111672111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037524259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 54, -3713?\nAnswer: -3713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k + 17. Let n be 10\/8*(2 - -2). What are the prime factors of j(n)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-6\/7)*s*s)**19)**(3\/5)\/(s**(-3\/5)*s*s*s**(1\/2)\/s*(s*s**(-1)\/s)**(-7\/6)) assuming s is positive.\nAnswer: s**(2348\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -8, 74, 260, 586?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoebeoooeboe. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9113.757 months to millennia.\nAnswer: 0.75947975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v + 3. Let w be x(6). Let t = w + -2. Let f = 14 - t. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8668, -3, 1, -2 in decreasing order.\nAnswer: 8668, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 9*j - 8. Let g be t(1). Is -2 + 9\/(-3) + g + 1551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yejjjoooayo. Give prob of sequence ej.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88600 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4033 is divided by 657.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.08 (b) -1 (c) -735 (d) -10 (e) -1\/2 (f) 0 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**3 - 12*p**2 + 8*p + 7. Calculate b(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Suppose 0*h + 5*h = -r*x + 7, 0 = -4*x - 8. Factor 1\/2*p**4 - 2*p**h - p + 5\/2*p**2 + 0.\nAnswer: p*(p - 2)*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 10*u**2 - 9*u + 7. Calculate a(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29883844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/121 and -465*(-8)\/(-1386) + 3.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -71, -72, -71?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1274*r**3 - 3*r - 14. List the prime factors of i(-2).\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-20))\/(2\/5). What is the common denominator of 3\/(-3) - (-14)\/77 and s\/(-7) + (-1052)\/(-140)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 24*d = -26*d - 14, 4*d = -v - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -53*p + 201. Give a(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 31 = -24. Suppose -3*c = -2*o - b, -4*c + 5 = o - 28. What is the remainder when 27 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51522 is divided by 628.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -342 in -4, 0.41, 0.8, 0, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 9*t. Calculate q(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 divided by 2?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405) + 4 - (sqrt(405) + -2)*3 - (0 + sqrt(405)*-5*-5))**2 + 0.\nAnswer: -4860*sqrt(5) + 295345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23069116 is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 97*m + 60. Let d(z) = -35*z - 19. Give -11*d(k) - 4*q(k).\nAnswer: -3*k - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o**4 - 17*o**2 + 4*o + 4. Let m(f) = f**4 + f + 1. Let n(s) = a(s) - 4*m(s). Find the third derivative of n(h) wrt h.\nAnswer: -336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 7*u = -240. Suppose -4*v + u = -28. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4485 divided by 13396\nAnswer: 4485\/13396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/7 (b) 1185\/11 (c) 0 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:30 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7 = -27. Suppose 0*a + 10 = 2*a + 2*i, -2*a - i = -8. Let d = r - a. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 1 = l + 12*r, -13*r + 14 = 2*l - 11*r for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 129\/5 (b) 5\/2 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 1190, 1192, 1194, 1196, 1198?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-428)\/(-18) - 6\/(-27). Let s = 48 - 29. Suppose 3*i - 9 = -3*a + 6, 0 = 3*a - i - s. Calculate the greatest common factor of a and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -554 and 231.25.\nAnswer: -322.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-72)\/(-27)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -70*n**2 - 11*n. Let b(v) = v**2 + 21*v + 7. Let o(m) = 6*m + 2. Let t(c) = -2*b(c) + 7*o(c). Give d(t(h)).\nAnswer: -280*h**4 + 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 1}. What is prob of picking 4 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-342)*400\/3600?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104054*h + 104114*h + 4*h**3 - 1 - 1 + (-h + 3*h + 0*h)*(-2*h**2 + 2*h**2 - h**2) + 4*h**2 - h**3 - 4*h**2.\nAnswer: h**3 + 60*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 339753 and -5.\nAnswer: -1698765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -179160\nAnswer: -3224880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. Let y(i) = i - 2. Let m be y(q). Let z = 0.3 + 0. What is the nearest to 1 in m, z, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 + y - 8. Let h be u(8). Suppose h = 5*s - s - 52. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*l = -3*w - 97*l + 2, 0 = 2*l + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 60 = -12*v. Let g(n) = -28*n - 27. What is the units digit of g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212172 by 5.\nAnswer: 212172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:58 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2 (b) -4.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 53*c**3 + 258*c**3 - 194*c**3 - 4.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1200*i + 398*i + 52734 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-17)\/f*f)\/f)\/(f\/(f*f**(-22))) assuming f is positive.\nAnswer: f**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 1\/4*c**4 - 1\/60*c**5 - 4*c**2 - 1\/3*c**3 + 0. Give n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/5 - -59\/10. Factor r*l - 1 - 1\/2*l**3 + l**2.\nAnswer: -(l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((288\/39)\/(-12))\/(12\/(-26))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 2. Let a be l(4). Let s(j) = -4*j - 3 + a + j + 2*j. Suppose 3 = -5*v - 12. Determine s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7020 and 105896180?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*x - 14, 0 = -x + 6*x + 5*q. Let u be x\/(-18)*2 + (-959)\/(-63). Solve -4*n - n + u = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 104*h - 30. Determine n(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*g**5 + 36890*g**4 + 558060*g**3 + 1885720*g**2 + 944320*g + 128640 = 0. Calculate g.\nAnswer: -134, -12, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(3\/4)\/((-207)\/(-736)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 26*c - 44. Let a(q) = 3*q**2 - 27*q + 44. Let j(y) = -3*a(y) - 4*r(y). Is 23 a factor of j(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9335 - 9394. Is x at least as big as -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, -2.6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1366*d**5 - 1005*d**2?\nAnswer: 81960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -772754 divided by -314\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1302 (base 4) to base 16\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvfgfgfgvffvof. What is prob of sequence vg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14219*k**3*s**3 + k**3*s + k**2*s**3 - 5*k**2 + 824*k*s + s wrt s.\nAnswer: -85314*k**3*s + 6*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1122 + 1188. Suppose -4*y = -0*t + 5*t - 114, -2*y = -3*t + 64. What is the greatest common divisor of t and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 6 - 6 - 1)*((d - 3 + 3)*(-2 - 2 + 0) + 4 + 14*d - 4).\nAnswer: 30*d**4 - 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/14 - (-12)\/(-21). What is the tens digit of (2\/o)\/(20\/(-1590))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*x - 24 + 8, -2*q + 12 = -3*x. Suppose -8*w + q = 27. Let o be 7 + w + (-23)\/5. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkekqlo. Give prob of picking 1 o, 1 l, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1 (c) -3.6 (d) 3 (e) 19\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13 = 17, c - 3 = d. Let u be (-5 + 22\/c)*-22. Which is smaller: u or -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p**(-6\/11))\/(p**(-1))**(-1\/74)*(p*p**2)**(12\/11)\/(p**(1\/3))**8 assuming p is positive.\nAnswer: p**(-6989\/2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 4214.18\nAnswer: -16856.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 12 - 0. Let y be t\/(-18) + (-76)\/(-18). Suppose -y*i = i. Is i not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -230, -373, -612, -953, -1402, -1965, -2648?\n\"Answer: -i**3 - 42*i**2 - 10*i - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 24 = 0. Suppose 5*b - n*b = -36. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 40.6898g?\nAnswer: 0.0000406898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 75. Determine u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {r: 2, t: 1, j: 2, a: 5, s: 2, k: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 185\/10)*(-60)\/(-56)*(-320)\/(-24).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21.87067 centimeters?\nAnswer: 218.7067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297026 or 296959?\nAnswer: 296959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111000 (base 2) to base 9\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -18\/5*o + 3\/5*o**2 + 24\/5 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*r - 75 = 2077*r - 1041*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 10. Let n = g + 12. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1017 and 53012255?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 19800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 7*x**5\/4 + 28*x**2 - x + 15. Differentiate d(h) wrt h.\nAnswer: 105*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2569.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 4. Let g be y(6). Let n = g + -20. Does 4 divide (n - 0)\/(-4) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/336 - 23*l**4\/24 - 12*l**2. What is the second derivative of k(j) wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -15 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2 in ascending order.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.5 (c) -1048 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17084467 - 15171365 = -21*o. Suppose 3*s + 2048004 = -4*m + 2*s, 3*m - 2*s + o = 0. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5 + 380*p**4 + 3036*p**3 - 162416*p**2 - 169646*p + 328644 = 0?\nAnswer: -179, -27, -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 3. Suppose -d*s - 2*o = -0*o - 4048, 3*s + 3*o - 4053 = 0. Suppose 2*r = -0*r + s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.4 + -8.39999484. What is h rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - s**3 - 3*s**3)*(-3*s**2 - s**2 + 5*s**2) + (0*s**3 + 4*s**3 - 3*s**3)*(5*s**2 - 2*s**2 - 4*s**2) + 4*s**5 - 3*s**5 - 2*s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.5 + 6. Let k = 0.7 - 2.7. What is the second smallest value in o, k, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + 6 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(3*h + 2*h - 2*h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.8419 and 16.813311.\nAnswer: 15.971411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**6\/40 + h**4\/6 - 3*h**2\/2 + 3*h. Let z(n) be the first derivative of w(n). What is the second derivative of z(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3264*m**3 + 3*m - 3 + 3266*m**3 + 9*m**2 as k*m**2 + g + r*m + s*m**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 41 + (-3)\/(-1). Let v = y + -21. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -20553.\nAnswer: 76\/20553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -324, -753, -1190, -1641, -2112, -2609, -3138, -3705?\n\"Answer: -q**3 + 2*q**2 - 428*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/675*-9)\/(23\/((-15180)\/24))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 - -522301094.7.\nAnswer: 522301157.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)\/(2\/5). Let i be (-7)\/28 - t\/(-4). Sort i, -4, 6 in ascending order.\nAnswer: -4, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 + 320. Suppose -3*o + y = -8*o. Let m be 3\/(-6) - o\/4. Is m >= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 72 = 35*o. Suppose -9*p = -7*p + o*k - 288, -2*k + 4 = 0. Let u be 0 - 0 - -10*2. What is the greatest common divisor of u and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.51? (a) -2\/3 (b) -1 (c) 0.015 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*a - 219*a + 431*a)*(-3 + 3 + 2*a).\nAnswer: 586*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 11*x**2 - 10*x + 14. Let r(c) = -9*c**3 - 4*c**2 + c + 1. Let a be r(1). What are the prime factors of i(a)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from aypuupu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:44 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290\/7 + -7306\/175. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153905*q**4 + 105628 wrt q?\nAnswer: 615620*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 38.3. Which is the nearest to u? (a) 5 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 213279979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331189 divided by 13.\nAnswer: 331189\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -687758 or -687759?\nAnswer: -687759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h + h**4 - 195*h - 52*h - 29*h**3 + 63*h to o*h**2 + g*h**3 + s + m*h**4 + l*h and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -15, f - 44*d + 13 = -3*f - 140*d + 46*d + 49*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/45 and -13\/225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 3159972*m**2 + 183285945*m + 2657682786.\nAnswer: -3*(m - 1053382)*(m + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 23 = 95. Let o be (s\/52)\/((-21)\/(-14)). Let g = 0.4 - 0.2. Do g and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 - 2*n**4)*(-5 - 8 + 7).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -48. Let d be 7*((-120)\/k)\/5. Let p(h) = h**3 + 5*h**2 - 5*h - 5. Determine p(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/((-525)\/(-700)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67.22758 + -0.35158. Let h = 50.2 - -16.8. Let v = h - i. What is v rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/((-1)\/1))\/2. Let c = -13 - -19. What is the third derivative of b*h**2 - h**2 + 0*h**6 + 2*h**c wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35066 and 3881201.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*p**2 + 24*p - 24*p)*(-5*p**3 + 4*p**3 + 0*p**3 + (3*p - 6 + 6)*(2*p**2 - 6*p**2 + 2*p**2)) + 0*p**4 - 2*p**5 + 0*p**4.\nAnswer: -191*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -579, -1329, -2217, -3243, -4407?\n\"Answer: -69*h**2 - 543*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -273.5 times -0.4\nAnswer: 109.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 22*p - 45. Suppose -p*n + 4*c - 24 = 0, 4*n + 3*c + 10 = -3. Put 2, 4, n, 5 in descending order.\nAnswer: 5, 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -30. Let w = g - -83. Suppose 0*b - w = -4*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b - 7626 = -69*b + 2*u, 0 = b + 2*u - 3795. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27676259 and 294541.\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*m = -8, -3*m + 5 = -3*o - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + -4438178.\nAnswer: -4438310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18662 and 1265017.\nAnswer: 17710238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(16\/9)))\/((q\/q**(4\/9)*q)\/q*q*q) assuming q is positive.\nAnswer: q**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*f - q - 0*q, f = -5*q + 8. What is the first derivative of -3*k**3 + 3*k**f - 3*k**4 - 2 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 2*g - 28)*(-10 + 11 - 3) + 2 - 2 + 2*g in the form b + k*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 103884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wplfhfwwrhwhpr?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 13*y**3 - 4 - 5 + 1 - 11*y**3. Let v(x) = -2*x**3 + 20. Calculate -12*r(i) - 5*v(i).\nAnswer: -2*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - ((-1212645)\/280 + 1\/(-8)).\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 151*z + 3. Let u(r) = -153*r. Give o(u(s)).\nAnswer: 46818*s**2 + 23103*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/q**(-16)*(q**29)**(-20))**(-5\/2) assuming q is positive.\nAnswer: q**(2885\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, 0.2, 23\/4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 696 or 7650\/11?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4 + 70098*x**3 + 545665860*x**2 + 1412721009438*x - 18457744744023 = 0?\nAnswer: -7793, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (27 - 11) + 1 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20623, 20788, 21063, 21448, 21943?\nAnswer: 22548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p - 9. Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 3485072.\nAnswer: -17425360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*n**4 - 7*n**3 - 15*n**2 - 33.\nAnswer: -2328*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 6*i + 347538, 0 = -8*y + 4*y - 2*i + 278078. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 5*s + 8 + 6 - 6*s.\nAnswer: -s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 46*i**2 - 52*i + 12. Let g(a) = 45*a**2 - 44*a + 15. Let u(b) = -5*d(b) + 4*g(b). Suppose u(m) = 0. Calculate m.\nAnswer: 0, 42\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljlgjjljgljlljljljl. Give prob of sequence jggj.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3368?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, 1\/4, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (710\/25)\/((-7)\/2). Let z = g + 42\/5. Is 2\/7 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -30. Suppose 0*l = p*l - 20. Find the second derivative of -j**5 - 4*j**l + 2*j**5 + 6*j + 0*j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89827 is divided by 197.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2 and 14\/10*(-187)\/(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31.4? (a) 342 (b) 0.3 (c) -3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 - 4*p. Suppose -2*l - 9 = -0*l + 5*z, -4*z - 9 = l. Let w(k) = -k - 1. Let u be w(l). Determine h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157498 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 - 5*f + 5*f + f + 14*f**2 in the form d*f**4 + i*f**2 + x + a*f + n*f**3 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -18. Let d(c) = -2*c + 8. Does 4 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 3*t + 10 = 5*n, -5*n - 4*t = 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 52\/3 of a minute?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(45) + sqrt(225)\/sqrt(5) - (sqrt(45) - (sqrt(45)*2 + 2)**2).\nAnswer: 27*sqrt(5) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 101*j**2 - 13*j - 8. Let f(s) = 25*s**2 - 3*s - 2. What is -6*a(v) + 26*f(v)?\nAnswer: 44*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 818.5 + -818. Let a = -14.07 - -14. Let c = a + -2.93. What is the biggest value in c, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2*(-3)\/8*1\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 21 = -2*p + 49, d + 5 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 2. Suppose 2*j - b = -28, 3*j - b = 8*j + 63. Let y = j + 7. Is o(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - j - 3*j)*(5 - 5 + 3*j) to the form d + f*j**2 + z*j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.382207 and -2.\nAnswer: 0.382207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11*u - 240 = 0. Sort -0.5, 2, u, 2\/5 in descending order.\nAnswer: 2, 2\/5, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 112*l**3\/3 + 6*l**2 + 4*l - 102. What is the second derivative of b(w) wrt w?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let t(p) = 10*p. Let c(x) = x**3 + x**2 + x - 1. Let f be c(-3). Let d(g) = g. Let y(m) = f*d(m) + 2*t(m). Give k(y(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-20) + ((-144)\/40)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64337?\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-16)*(-2 + 6). Let p be 24\/8 + m\/2. Let f = 0.1 - 0.2. What is the nearest to f in -3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076322775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 776521.1 microseconds?\nAnswer: 776.5211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 - 1077*a - 21082. Determine m(-22).\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.01?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11024*y**2 - 1807*y wrt y.\nAnswer: 22048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 2*o**2 + 1. Let t be n(-1). Is (38\/3)\/(t\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/17 + 804*a\/17 - 43810\/17 = 0 for a.\nAnswer: 65, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-4)*(-3160)\/5135.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 417301 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Suppose -j*z + 4 = -16. Suppose 7*p - 2*p = 70. What is the remainder when p is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 6 + 6 - 3*w + 4 - 4 + w - 1 + 1 + (1 - 1 - 2)*(w + 2*w - 5*w))*(129*w**2 + 5*w**3 - 129*w**2)*(-3*w - w + 3*w).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 355630477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -11)*(-4 - 0). Find the second derivative of 3*t + 4*t**2 - d*t**2 + 6*t**5 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4205.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9567 by 1.\nAnswer: 9567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -121 + 4 - (7 + -2 + -2). Let k be (18\/15)\/((-9)\/u). Let f(q) = 39*q + 2. Let h be f(2). What is the highest common factor of h and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -760 - 1772. Is -6 - (-2)\/((-8)\/k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f + 53. Let t(r) = -28*r. Calculate t(p(b)).\nAnswer: -224*b - 1484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056130 by -2.\nAnswer: -528065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(50) - sqrt(400)\/(sqrt(24)\/sqrt(3))))\/(-4*sqrt(30)\/sqrt(3) + (sqrt(90) - (sqrt(90) - sqrt(90)*-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 - 6*g - 2. Let r(f) = -13*f**2 - f - 3 + 3 - 4*f - 1. Let y(o) = -5*d(o) + 6*r(o). What is the first derivative of y(v) wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 68999.\nAnswer: 1931972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 - -7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 178479\/8 or 22309?\nAnswer: 178479\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613*c + 924 = 616*c. Round c to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -134. Let s(o) = 4*o**2 + 15*o + 103. What is the hundreds digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 303786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -18) + (2 - -5 - (-6 - -5))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56645 - -9.6?\nAnswer: -56635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 449291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136240276?\nAnswer: 2, 34060069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k - 10 - 35 = 228 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 12, q: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 293447153 to the power of 1\/2, to the nearest integer?\nAnswer: 17130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 7, x: 1, q: 2, t: 4, f: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyqalqysyalyasqs. Give prob of sequence qyl.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1211 + 5000?\nAnswer: 6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/8)\/((-111)\/74).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 - 16*s - 352. Calculate h(14).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 10*d + 16. Let h be j(11). Solve -h = -2*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11151686 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 10*o**2 - 10*o - 14. Let h be g(11). Which is the smallest value? (a) 1 (b) -7\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/490128 and 137\/9936?\nAnswer: 101456496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -6 + ((-1)\/1 - -5). Is (858 - 2 - 3)*y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 - -4.33. Which is the nearest to -3? (a) x (b) -5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 134137?\nAnswer: 134136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266916 divided by -6?\nAnswer: -44486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 93, 2467 in increasing order.\nAnswer: -0.11, 93, 2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 13*k - 3. Suppose -5*v - 65 = 5. Let p be o(v). Does 15 divide (-18 - p)\/(2\/(-64))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -242*i - 27. Suppose -100 = 4*a - 36. Is m(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3946582579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325 and 95?\nAnswer: 6175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2122 + -10321320300?\nAnswer: -10321323022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -55315374?\nAnswer: 55315401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 3, 3\/7, -2\/7, 12, 1.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 - 3*k**2 + 3*k + 9. Let s(h) = -3*h**3 + 2*h**2 - 2*h - 8. Let u(d) = -3*s(d) - 2*x(d). Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444363 is divided by 366.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/5)*4336\/(-2710)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 951 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7326 - 7319. Which is the biggest value? (a) -6\/5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1132*z**3 + 714*z**3 + 2 - 1845*z**3 - z - 168*z**2 to j*z + q*z**2 + u + a*z**3 and give q.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 530 + -520. What is the greatest common divisor of 810 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {p: 1, v: 1, x: 1, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68015.\nAnswer: 5, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220202 (base 3) to base 13.\nAnswer: -3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -6*x + 16, -5*p = -2*x + 15 - 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100420 + 204?\nAnswer: -100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -11, -15, -15, -11, -3, 9?\n\"Answer: 2*j**2 - 14*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 3*v**2 + v - 1. Calculate k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*v - 176*v + 48*v + 2 - 2 + 2*v + (-4 + 5 + 4)*(-23 + 15*v + 23).\nAnswer: -116*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 + 4*u**5 + (2*u**5 + 2*u**5 - 2*u**5)*(-3 + 3 + 1)*(-1 + 0 + 0).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.702489 to one dp.\nAnswer: -73.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 5)*(0 - 8 - 1) - 5 + 0 + 0)*(-11 + 11 + 4*o)*(-2 + 1 + 2).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/37402 or 0?\nAnswer: 21\/37402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 32415*z + 1600340.\nAnswer: -5*(z - 6532)*(z + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 + -7)) + 8 + 1 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*a**3 - 4*a**3 + 13*a**3)*(-2 + 5 - 1)*(-2 + 2 - 2*a).\nAnswer: -152*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*i + 8, -2*c + 16 = 5*i - 3*i. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1742228 by 17.\nAnswer: 102484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 5\/26?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**3 - 851*i**2 - 419*i + 7872. What is j(-121)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.2 (b) 0.1 (c) -1\/7 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*(-5)\/(-20)*(-1700)\/(-34).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519023.\nAnswer: 19, 59, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3*d - 4. Let p be u(4). Let y = -3.7 + 3.9. Which is the closest to 0? (a) p (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 11 = d - 25, 0 = 5*a - d + 93. Let n be ((-1)\/(-3))\/(a\/(-57)). Let b be (2 - 6)*(-1)\/n. Solve -f - 2*g = 3*f + 16, -b*f - g - 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6953998 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4))**(-17) assuming w is positive.\nAnswer: w**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 1 + 1)*(3*n**2 - 3*n**2 + n**3) + (3 + 1 - 2)*(-11*n**4 - 14*n**3 + 14*n**3).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*q + 156, -4*q - 5*z + 54 = -96. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - 23*h**2 + 93*h + 7. What is the tens digit of c(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 6 + 60 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267019\/65 - 4\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5) + -2 + 3 + sqrt(5).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i. Suppose i = 5*j - 359 + 89. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*16\/(-192)*-12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.915787 - -0.007817. Round x to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102762 is divided by 82.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 34734*o + 208175. Give t(-6).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 7*n**2 - 9*n - 6. Let y be b(5). Calculate the remainder when y + 6\/(-15) + 1806\/15 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165198742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 23660*n. Let j(v) = -2*v. Calculate j(o(u)).\nAnswer: -47320*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y + 2*y. Let l(g) = 2*g**3 - 5*g**2 + 1 + g + 6*g**2 + 8*g**2 - 3*g**y. Is l(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1606 + 829 + 816 - 103*f to the form s*f + v and give s.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 - 1785*s - 1768. Determine n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66948697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36062815 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:19 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002607706357 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005778746194 rounded to 4 decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*10\/45*(-165)\/(-132)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**4\/24 + 3*p**2\/2 - 33*p - 109. Let b(a) be the second derivative of z(a). Let v(i) = 33*i**2 + 1. Determine b(v(t)).\nAnswer: 165*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -207 - 3a1b?\nAnswer: -3c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n - 235. Let r be a(10). Let h(v) = 40*v**2 - 420*v + 990. Let j(f) = -39*f**2 + 420*f - 992. Let y(u) = r*j(u) - 6*h(u). Factor y(p).\nAnswer: -5*(3*p - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/5 - 16*o**3\/5 - 8*o**2 + 112*o\/5 - 12.\nAnswer: 4*(o - 5)*(o - 1)**2*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 60*h - 8225 = 0 for h.\nAnswer: -35, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*12\/(-1881)*(-99)\/(-528).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026989 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + (172 - 176)*(6170\/(-1) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3936 + -3932. Solve 0 = 2*r - 6*r - 5*v + o, 5 = 5*r - 3*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + 0 - -1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 2 f when four letters picked without replacement from {s: 4, j: 8, m: 1, l: 3, f: 3}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:19 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 387659*m = 387662*m + 200, m = -w + 32 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/f)**(2\/7) assuming f is positive.\nAnswer: f**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1646, 110, -2, -3, -5 in ascending order.\nAnswer: -5, -3, -2, 110, 1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 11*a - 39. Let l(g) = g**2 - 38*g - 803. Let q be l(-15). Calculate s(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/207 and 28\/299?\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 0, -h - 14 = -5*d + 2. Let o(q) = -540*q**3 - q**2 - 2*q. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 78 = -2*y - 0*y, -4*g + y + 75 - 1 = -1 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j + 0 - 7\/6*j**3 + 21*j**2 + 5\/6*j**4 + 11\/40*j**5. Let u(f) be the first derivative of m(f). Differentiate u(p) wrt p.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 75430, 75428, 75426, 75424, 75422?\n\"Answer: -2*a + 75432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000101110 + -10111001010?\nAnswer: -1111111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 - 8 = -3*k, -h = 5*k - 10. Suppose -49 = -h*q - 2*g, 0*g - 10 = -5*g. Let n(s) = -s**2 - s + 3. Let d be n(0). Solve d*b - 6 = q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22818*c**3 - 319*c**2 - 29219141 wrt c?\nAnswer: -68454*c**2 - 638*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 + (-36444)\/(-4515). Let y = z + -145\/86. Find the common denominator of 77\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1370832079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 313*a**2 - 30*a - 35. Let v be k(-1). Calculate the highest common factor of 99 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**4\/24 + 5*v**3\/6 - 4*v**2. Let o be m(4). Solve -o = 2*g + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 v, and 1 s when four letters picked without replacement from sdsssdvdtdvsvdd.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 101*j**2 - 1393*j - 9973. What is g(19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a3708 (base 12) to base 14\nAnswer: -57b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, l: 9}. 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: Let n be 12\/30*(-10 - 1)*-395. Suppose -3*r + c + 2599 = 0, 2*r = -0*c + 2*c + n. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 + 23237*k**2 + 55638*k wrt k?\nAnswer: -40*k**3 + 46474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let l(k) be the second derivative of 0*k**2 + 1\/6*k**3 + 0 + 2*k. Determine l(j(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125901923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:05 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7)\/v)\/v**(-1\/6))\/(v\/v**1)**47 assuming v is positive.\nAnswer: v**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 4. Let c(w) = 10*w + 5. Let n(i) = -4*b(i) - 3*c(i). Let r = 455 + -457. Give n(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21064 - 208927\/10. Which is bigger: u or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - 0)) + 66 + -30 + -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.36357 and -15?\nAnswer: 14.63643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etlseueuee. What is prob of picking 1 s and 2 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4800 = -o, -30*g + 31*g - o = 1194. What is the remainder when g is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 3)*-19 + (-37)\/(2146\/(-4930))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:14 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/15 - -4*1\/10. Suppose -9 - 27 = -j*a. What is the remainder when 11 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 17. Let i(k) = -11*k - 50. Let m(c) = 6*i(c) + 17*p(c). Is 13 a factor of m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) -1 (d) -145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3 + (2 - 4 + 1)*(0 + 2 + 0) - 1 - 5 + 4)*(102 - 102 - 11*g).\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**7\/1008 + n**6\/720 - 7*n**5\/60 - 26*n**2. Let o(s) be the third derivative of f(s). Suppose 5*b - 10 = -5. Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, 1, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u. Let v(r) = 4126*r**2 - 12*r + 53. Calculate l(v(j)).\nAnswer: -12378*j**2 + 36*j - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 2) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 993, 1558, 2129, 2706?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54694 - 36166 = 327*q - 96903. What is the remainder when q is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(6 + -1 + -4). Let o(p) = 4*p**2 - 2*p + 1. Calculate o(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -3\/7, 1\/12, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) -3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*d**2 + 644*d**2 + 564*d**2.\nAnswer: 2154*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1312480*p*w**4 - 2*p*w - 5823*p + 24 wrt w.\nAnswer: 15749760*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*f - 3 - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -9424.\nAnswer: -9423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 553498 = 90*z - 147790. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**38*j*j**(-6)*j*j*j**(-6\/17)\/j*j\/(j**(-27)*j) assuming j is positive.\nAnswer: j**(1031\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 268 = 135 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-18)\/(b\/b**(-23)))**(2\/7))**(-21) assuming b is positive.\nAnswer: b**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 9. Let t be y(5). Suppose 105 = 2*s + 3*s. Let h = s + -5. What is the greatest common divisor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3613 (base 16) to base 5\nAnswer: 420333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**8*r**(-2\/5)*(r*r**(-4\/7)*r*r)\/r**(-3\/2))\/((r**(-9)*r*r*(r*r**(-3\/2))\/r)\/((r*r**5)\/r**9)) assuming r is positive.\nAnswer: r**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)\/q*q*q*q**(8\/7))\/((q\/((q\/q**1*q)\/q)*q*q*q*q*q)\/(q\/(q\/q**(3\/13)))))**(1\/20) assuming q is positive.\nAnswer: q**(-1377\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*76.9\nAnswer: -23.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.15 + 0.15. Let x = q - -3. What is the nearest to 0 in x, -1\/5, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*h = 27 + 3, -2*n + 3*h = -25. Suppose -4*x - 385 = n*m, -4*m + 3*m - 3*x - 77 = 0. Let r = -74 - m. Put -4, r, -5 in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*2\/56)\/(12\/(-72)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(187)\/(sqrt(99)*2))**2 + (sqrt(1700) + -1*(sqrt(1700) + (sqrt(1700) - (sqrt(1700) - (-1 + sqrt(1700))))) + 0 + sqrt(1700) + -4)**2 + -4.\nAnswer: -5*sqrt(17)\/3 + 1097\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*(-2)\/(80\/8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 8*w**3 - 3*w**2. Let p(z) = z**2 + 23*z - 49. Let r be p(-25). What is n(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132301011 (base 4) to base 2.\nAnswer: 1011110110001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 5*m + 163 - 163 to b*m + u*m**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000433213 rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23535 divided by -4707.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -77 - (-16 + 15 + -20 + 32).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/58072 and 79\/952?\nAnswer: 58072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-1)\/(-4) - 18\/(-8)). Put t, -3, 1 in decreasing order.\nAnswer: t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4821120 * -0.11.\nAnswer: -530323.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 3*o + 4*l + 126, 3*l = -3*o - 399. Let g = -829\/6 - o. Let h = g - -1. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393 - 393 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 - 3885*m**5 + 1279*m**2 + 2*m wrt m?\nAnswer: -120*m**3 - 233100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 1593 = -563. Suppose 29*k = 33*k - 32. Calculate the lowest common multiple of j and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112002010010001 (base 3) to base 8\nAnswer: -34424721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {r: 3, j: 4, k: 3, f: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let s = -28.46 + 30.46. Which is the second smallest value? (a) 3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i**3 + 10509*i**2 - 10509*i**2 + 138*i**3 - 72*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 8*x**2 + 5*x - 1. Let u(y) = 3*y + 55. Let q(p) = 3*p + 54. Let o(v) = 3*q(v) - 4*u(v). Let j be o(-17). Give z(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + -2 - 247\/96 and (5 + 3818\/(-736))*-68?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 52\/33 (b) -1 (c) 4 (d) 1\/3 (e) 78 (f) -12\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 133033 (base 5) to base 6\nAnswer: 40545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40661 + 42174. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (10 + -28 + (28 - -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1284963?\nAnswer: 5139852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-2))\/(-3))\/(28\/(-280))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/2)\/o)\/o*(o\/(o\/o**(-1\/3)))\/o*(o*o\/o**(2\/3))**(-4))\/((o**4\/o)\/o**1*(o**2)**(-40)) assuming o is positive.\nAnswer: o**(425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10094138*b**4 - 2*b**3 + 2*b**2 - 11588433?\nAnswer: -242259312*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -533 at most as big as -534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-1)\/(sqrt(54)*-5 - sqrt(6) - sqrt(6)) + 0 + 1 + -3*((sqrt(10)\/sqrt(5))**2 - sqrt(2)).\nAnswer: -5 + 57*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + i - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 2 = -9*h. What is t in 1\/2 + 1\/4*t**h - 1\/4*t - 1\/2*t**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 22 + -36 - -26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-28))\/((1342\/(-2013))\/(7\/78)).\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/6*(-24)\/60*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 9*k**2 + 2*k - 12. Let c be p(9). Suppose 2*f = -0*f + c. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3133)\/8)\/(3\/(-6)). Let h = b - 800. Find the common denominator of -19 + (25\/(-6) - -4) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1\/3, 0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 5. Let z = u + 0. Let b be z\/4 + (-8002)\/(-8). What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -17, 0.3, -30684?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*r + 416 = -4810 + 256, -g - 4*g + 3*r = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -50 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -18*p + 510. Suppose 0 = 6*h - p. Suppose -64 = -4*i + h*t, -3*i + 48 = -t - 4*t. Calculate the least common multiple of 4 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(-26))*(-1 - 0). Suppose -2*a - 5*f - 34 = -5*a, -3*f = -12. Let b = a - k. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3209606361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -51, 3\/5, -1611 in decreasing order.\nAnswer: 4, 3\/5, 0.3, -51, -1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 + 84*v**2 + 3*v - 70. Let z(t) = 3*t**3 + 43*t**2 - 33. Let c(a) = 3*n(a) - 5*z(a). Calculate c(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 21 + 21591*i**3 - 22052*i**3 in the form p*i**3 + v*i + o + k*i**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -24 + 10 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 32630560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 5. Let o be g(4). Let a = o - 8. Let z(t) = t**2 - 5*t + 3. Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 2:50 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 - 4. Let u = 1.2 + l. Let s = -0.9 + u. What is the nearest to s in -0.4, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 77, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*z - 12. What is the smallest common multiple of 8 and (z\/3)\/(4\/66)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 67, 6 in descending order.\nAnswer: 67, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 2*d - d)*(-5697*d - 4356*d - 4841*d + 1358*d - 696*d) - 3*d**2 + 4*d**2 + 0*d**2.\nAnswer: 56929*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 58*m + 69. Calculate the remainder when 3728 is divided by f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 5. Suppose 3*w - l + 22 = 0, 4*w = 3*w + l - 6. Let m be x(w). Solve -4*j + 5 + m = 4*u, j = -2*u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (5 + -13 - -1)) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 4*o**2 - 3*o + 1. Let u be b(4). Let d(x) = x**2 - 13*x - 1. Let v be d(14). What is the greatest common factor of u and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.45585 to 2 dps.\nAnswer: -5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 678?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19618161*k*r**2 - 880512112*k*r + 5*r**2 wrt r?\nAnswer: 39236322*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61\/465 - 1\/465. Let g = 83.1 + -78. Let p = g + -5. Which is the fourth smallest value? (a) 5 (b) h (c) p (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Let p(c) = -c**2 - 7*c + 0*c - 4 - n + 2. Suppose 16 = -3*k - 2. Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5 + 0*d + d - 4 + 5. What is the tens digit of l(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -693844 (base 13) to base 2\nAnswer: -1001100000100110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 386925 and 92862.\nAnswer: 2321550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h**2 + 3. Let c(m) be the second derivative of -31*m**4\/12 - 962*m. Give v(c(k)).\nAnswer: -11532*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let n(y) be the second derivative of -30*y - 5\/4*y**4 + 0 + 0*y**3 + 0*y**2. Determine n(w(l)).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -39. Suppose z*q = 101 + 19. Let v = 29 - q. What is the highest common factor of 55 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**3*j**3*n - 10066*c**3*j**2 - 13007*c**2*j**3*n + c**2*j**2*n - c**2*j**2 - 3*c*n wrt j.\nAnswer: 30*c**3*n - 78042*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*y = 15, -3*l + 68*y - 15 = 64*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 26319524 to the nearest one hundred thousand.\nAnswer: 26300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 439*i + 74 - 81 + 7 + (6*i - 2*i - 3*i)*(-3 + 6 - 1) in the form w + p*i and give p.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 945.\nAnswer: -283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k + 12 = 0. Suppose -3*n + 0 = 4*t + 9, -2*t = 6. Let d be ((-2)\/2*1*0)\/n. Solve d = -2*b + 5*y - y + 14, -k*y = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 607730*r**4 + r**3 - 80*r**2 + 192*r wrt r?\nAnswer: 14585520*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 867*l + 51*l**4 - 867*l + (0 + 6 - 4)*(-3*l**4 - 2*l**4 + 6*l**4) - 380 + 34*l**4 + 380 as p*l**3 + y + d*l**4 + z*l + n*l**2 and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4758 - 45001324.\nAnswer: -44996566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3156351 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 36 = r + 5*x, x - 28 = -4*r. Find the third derivative of w**3 - r*w**3 + 11*w**3 + 10*w**3 + 5*w**2 wrt w.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 minus 241266?\nAnswer: -240489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 80\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 15. Let z(f) = -12*f**2 - 105*f + 18. Let s be z(-9). Give y(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*p**2 + 0 + 0*p.\nAnswer: 2*p**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 6, r: 5, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*o**2 - 407*o**2 - 456*o**2.\nAnswer: -944*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39065759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(6\/(-4) + 1). Let v be (k + 5 - 1)*-3. Suppose 0 = 2*s + 2*p - 12, 12 = 5*s - v*p - 2. Solve -3*z + 3*j + 24 = 0, s*j = z - 5*z - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 1. Let j(b) = -b**3 + b**2 + 2*b + 1. Let u be j(-1). Let w be x(u). Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 - 54*p**2 - 756*p - 2376 = 0.\nAnswer: -6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -337*n**2 - 394*n + 394*n + (-2*n + 0*n - 3*n)*(0*n + n + 0*n).\nAnswer: -342*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(-6 + 5). Let c be 4 + (t\/1)\/4. Sort 0, -2, c in increasing order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 12. Let f be v(10). Suppose 0 = f*p - 10*p + 136. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 38375*j - 38375*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.8 > -0.702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 = 5*v - 16, -2*v - o + 12 = 0. Let l(f) be the first derivative of -1\/3*f**3 - 3\/2*f**2 + v + f. What is l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -526, -856, -1318, -1912, -2638?\nAnswer: -3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*r - 80, t = 5*r - 11 - 89. What is the smallest common multiple of 8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5)\/d*d**(7\/2)\/d*d\/d**2*((d**0\/d)\/d)\/d)\/((d**(1\/2)\/d)\/(d**(-6)\/d)*(d**(-3)\/d)\/((d*d**(-4)\/d)\/d)) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 at most 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 458135096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 267560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5878.\nAnswer: -5\/5878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**6 - 3*d**5 - 13*d**3 + d**2 + 133*d wrt d?\nAnswer: -480*d**3 - 180*d**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200697 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/25)\/(306\/(-85))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55033192\/573 - -96044. Let m = n + -30569\/5730. Find the common denominator of m and -35\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-10) - 19\/(-10))*-2594. Let o = z + 10876. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let s = 21 - 14. Suppose -y + 1 = -s. Let b be v(y). Solve -u + b = 3*l - 0*u, 0 = -2*l - 4*u + 18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 - 7764233*p\/2 - 15528474 = 0. What is p?\nAnswer: -4, 7764237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, -4, -5, 4, -443, 29 in ascending order.\nAnswer: -443, -5, -4, 1, 4, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*b + l, 3*l + l + 20 = 0. Suppose -10 + 80 = -5*t. Is t less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -431414059*i**2 + 875258633*i wrt i.\nAnswer: -862828118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -6, -76, -17, -5, -11?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*r**3 + 44*r**3 + 288*r + 152*r**2 + 234 + 84*r - 2*r**4.\nAnswer: -2*(r - 13)*(r + 1)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -104. Let f(t) = -t**3 - 8*t**2 - 10*t + 8. Let b be f(g). Let a = b + -42. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from {i: 2, x: 2, k: 1, a: 2, o: 1, u: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 q when three letters picked without replacement from {f: 1, a: 3, c: 2, q: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) - 2\/(-8). Suppose j = -5*b + 16 - 6. Find the third derivative of -w**3 + 2*w**2 - w**3 + 0*w**b wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*z + 147, -2*z + 77 = w - 0*w. What is the remainder when w is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - 0.35. Let f = 0.8 + z. Let p = f - 0.7. Is 0 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:39 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 1?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -359940\nAnswer: 1\/119980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t + 4*g = -11024, 4*t + 2*g - 8814 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - 0.52. Let b = 1 - 0.6. Let g = f + b. What is the biggest value in -5\/4, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7)\/(17\/34).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/9*(710\/(-8) - 231\/(-132)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162126 is divided by 54038.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.0329.\nAnswer: 2.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 50, 13\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 - 9 = 0. Suppose 0 = u + s*u - 288. Suppose 0*q - 3*q = -u. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/18)\/(73\/(-657)). Solve -31 = -w + p*f - 5, 0 = -4*w + 5*f + 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1356 + -254. What is the smallest common multiple of f and 22?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-2))\/(9\/(-4518)).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -439f380 - -3?\nAnswer: -439f37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 4*w - 4*w)*(-2*w**3 - 4*w**3 - 2*w**3)*(-3 - 2 + 3) + 2*w**4 - 2*w**2 + 2*w**2 to h*w**3 + j*w + f*w**4 + q*w**2 + c and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Sort 3, d, -4 in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 203, 279, 347, 413, 483, 563, 659?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**3 - 3*a**2 - 8*a. Let f be z(4). Let u be (f\/360 + (-4)\/10)\/(-6). Sort 61, u, -4 in increasing order.\nAnswer: -4, u, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-548)\/(-12) + (-2)\/(-6). Let o = 78 + -46. Suppose l - o - d = 0. What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -42. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 13. Let z be u(5). Suppose 5*g - 2250 = -2*f, -916 = -z*g + g - 4*f. Suppose -4*y + g = -104. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 4, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*r - 9. Put r, -4, -0.4 in ascending order.\nAnswer: -4, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359196?\nAnswer: 2, 3, 37, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450, -2966, -9564, -22212, -42878?\nAnswer: -73530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6612.068 + 6612. What is the fourth biggest value in 4, h, 3\/2, 3, -17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*p**3*q**2 + p*q**2 + 101*q**2 + q wrt p.\nAnswer: 387*p**2*q**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2346848 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 2) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f - 60, -4*f = -2*f + r - 35. Let t = f + -2. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 33*g - 54.\nAnswer: -3*(g + 2)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -44*p + 5. Let h(w) = -4851*w + 2332. Let l(i) = 194*i - 94. Let f(y) = -4*h(y) - 99*l(y). Give 5*f(x) + 22*u(x).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23735 (base 12) to base 11.\nAnswer: 32929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-347*s + 347*s - 25*s**2)*(-1 + 4 - 17) + 2*s - 4*s**2 - 2*s.\nAnswer: 346*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 112\/29 (b) -0.4 (c) -0.5 (d) -3\/32 (e) 0.1 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-8)*2\/76)\/2\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 3077*n - 985*n + 1649*n.\nAnswer: n**3 + 3741*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9966*a + h = 9956*a - 28, 5*h = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) -2\/11 (c) -1499 (d) 186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 143 + 4\/(16\/(-12)). Suppose -4*t = -4*i - w, 0*i - i + 121 = 3*t. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -184*a**2 - 25709*a + 7426. Let z(p) = -137*p**2 - 19282*p + 5568. Let c(m) = -8*b(m) + 11*z(m). Find d such that c(d) = 0.\nAnswer: -184, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 177.8035 decades?\nAnswer: 1.778035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - 12*b**2 + 17*b + 8. Let h be d(2). Calculate the highest common factor of h and 1711.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*f = n - 27, 2*n + 5*f - 63 = 0. Suppose n = 5*m - 11. Let c(z) = -z**2 + 8*z + 4. What is the units digit of c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 989, 940, 919, 920, 937, 964, 995?\n\"Answer: -g**3 + 20*g**2 - 102*g + 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210016467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 39*b - 195. Let s be v(5). Suppose s = -2*f + 3*y - 1719988, -2579996 = -3*f + 6*f - y. What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*r - 26*r - 8 + 68*r)*(1 - 2*r - 1) + 3*r**2 + 2*r**2 - 7*r**2.\nAnswer: -16*r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-3))\/((-2)\/(-62250)). What is k rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/4 + 73*g**4\/2 + 12*g**3 - 230569*g**2\/2 - 461041*g\/4 = 0 for g.\nAnswer: -97, -1, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4. Suppose 6 + 3 = 3*v. Let p(o) = -1. Let z(k) = v*p(k) + x(k). Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5814 is divided by 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -66. Let w be (48\/(-6) - u)*(-6)\/(-5). Let f(n) = -5*n**2 - 6*n + 5. Let a(x) = -11*x**2 - 12*x + 10. Let p(m) = w*a(m) + 13*f(m). Factor p(s).\nAnswer: (s - 5)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6.04277?\nAnswer: -1.04277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4\/7 - 6*o**3\/7 - 4*o**2\/7 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 divided by 1446866.\nAnswer: 461\/1446866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9862277 * -1.\nAnswer: -9862277","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 116125 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (25 - 24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-1 + 20\/8). Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/318?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 482.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 195 + 25*(52\/(-5) + 10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4850*s - 77663. Let x be y(-16). Let l be (1*-1)\/((-6)\/(-3)). Sort l, x, 0, 0.4 in ascending order.\nAnswer: x, l, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17198, -18844, -20490, -22136, -23782?\n\"Answer: -1646*t - 15552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*v, 3*v - 284 + 278 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 9957?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 7*q**2 + 9*q - 2. Suppose 104 = -7*k + 20*k. Give o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756667, 1513380, 2270153, 3027016, 3783999, 4541132, 5298445, 6055968?\nAnswer: 6813731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**3 + 158*h**2 + 620*h - 45. Calculate m(-27).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12425662?\nAnswer: 2, 6212831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 230 = -85*b - 9*b. Let s = 24 + 28. Suppose -2*q - s = 5*v, 2*q - 18 = 4*v - b*v. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24392*o**2 - 95212 wrt o?\nAnswer: -48784*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, j: 2, u: 4}. Give prob of picking 2 j and 1 n.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 94*u**3 + 430*u**2 - 190*u**3 - 28*u**2 + 93*u**3 + 237*u**2 = 0.\nAnswer: 0, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 - 13*u - 5. Give g(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 169. Let c be (1 + (-25)\/26)\/(7\/t). Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 - 33*j**3 + j**2 - 542*j wrt j?\nAnswer: 96*j - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - a + 25 = 0, -7 = -c + 2*a + 8. Calculate the common denominator of 2\/7 - (-176)\/21 and (-24)\/(-36) + c\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 100*j + 257. Is i(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33370, -66789, -100208, -133627, -167046?\nAnswer: -200465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.60027 and 5?\nAnswer: -8.00135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 o when four letters picked without replacement from ooohhohohhhooh?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5 + 1. Suppose 2 = -9*t + 20. Suppose 0 = -2*p + p - t*o + 4, 4*o + 22 = 3*p. Calculate the highest common divisor of k and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 + 2\/(-5). Let m be 8*1\/20*(-15)\/(-62). Is d < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10715.3 to the nearest 10.\nAnswer: -10720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 8*j**2 - 4*j - 12. Let x be p(7). Suppose -9*a = -12*a - x. What is the third biggest value in -2, a, 3\/7, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157753 is divided by 51609?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 969 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11022022000?\nAnswer: -11022022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 6, 48, 140, 300, 546, 896, 1368?\n\"Answer: 3*v**3 - 2*v**2 - 5*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 219*b + 12. Is o(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26242, -2502, 21238, 44978, 68718?\nAnswer: 92458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 49. Let i(g) = 2*g**2 + 15*g + 2. Let h be i(-7). Is h at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 9*u**2 - 2*u + 3. Let w be r(-7). Suppose -4858 - 1105 = -138*f + 385. What is the highest common divisor of w and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1718, -13686, -46172, -109436, -213738, -369338?\n\"Answer: -1710*y**3 + y**2 - y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*i + 3*i. Let m be i\/(-18) + (-1)\/(-3). Let g be 2\/m - (7 + -2). Sort -2, g, -1 in decreasing order.\nAnswer: -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 4, z: 1, m: 2, y: 2}. What is prob of sequence gm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12\/13 - 34\/65. Let k = 80 - 561\/7. Let a = 2 - -3. What is the nearest to -2\/7 in k, w, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let x(z) = 11*z**2 + 2. Let h(a) = 5*a**2 + 1. Let j(r) = 9*h(r) - 4*x(r). Determine j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1425 - -9977\/7. Determine w so that -c*w**2 + 2\/7*w**3 - 2\/7*w**5 + 2\/7*w**4 + 0 + 0*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910*g - 10*g**3 + 10152*g**2 - 5075*g**2 + 910*g - 5077*g**2 + 7*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 466221943 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 519077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/3216 and -62\/27.\nAnswer: 28944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 - 154*w**3\/3 - 2652*w**2 - 46818*w - 44217.\nAnswer: -(w + 1)*(w + 51)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -165 - -170. Which is the nearest to -1\/4? (a) k (b) -0.3 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 7\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15\/27 - (-16)\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-35))\/((-176)\/(-110))*66\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -307, -3.\nAnswer: -307, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24776139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 711 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26125.4 - -26125. What is the second biggest value in h, 20\/19, 22\/3?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57665 (base 9) to base 8\nAnswer: -113065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {w: 9, v: 4, a: 4}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27692 - -27692.575. Put 1\/8, z, 0, 4 in decreasing order.\nAnswer: 4, z, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**8\/840 - 4*j**7\/525 + j**6\/300 + j**5\/15 - j**4\/15 - 8*j**3\/15 - 4*j**2. Let n(z) = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 15, -4*f - 16*w + 13*w + 25 = 0. What are the prime factors of (-4 - (-304)\/24)\/(f\/654)?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0.27 (b) 4 (c) -1\/7 (d) 0 (e) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - -33. Let r be (-2)\/(3 - 1) + s. Suppose -4*m - 167 = -5*q, 6*q - 4*q = 4*m + r. Is q a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -22*m - 2. Let s(j) = -3*j**2 - 2*j + 10. Let t(a) = 4*a**2 + 3*a - 15. Let y(f) = 6*s(f) + 4*t(f). Give d(y(x)).\nAnswer: 44*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16861077 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/5840 and -27\/34364750.\nAnswer: 274918000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 + 2*h + 2. Suppose 2 = 2*m, 4*m - 11 + 137 = 5*a. Calculate the remainder when a is divided by i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48488849 is divided by 1310509.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/4726188 and -43\/117702?\nAnswer: 61440444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + -12*(-9)\/48. Let v be ((-12)\/(-9))\/(-1*g\/(-6)). Solve -4 = v*c - 3*r, c = 3*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62208 (base 13) to base 7.\nAnswer: -1332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -93*n + 1. Let a(z) = -172*z - 16. Let m(j) = 22*j + 2. Let s(k) = -3*a(k) - 24*m(k). What is g(s(x))?\nAnswer: 1116*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -183736?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 + 80*y\/3 - 164\/3.\nAnswer: (y - 2)*(y + 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbcbfbczbbczcw. Give prob of sequence fzbw.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.7721 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29.70307km?\nAnswer: 29703070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 bigger than 3726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.05 and 7970?\nAnswer: -24308.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 31*s - 20 = 0. Suppose 2*k + 2 = 0, -k = -s*m + 332 + 154. What is the remainder when m is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/140*28\/72. Let f = 0.29 - -0.01. Let z(u) = -u + 3. Let g be z(6). What is the closest to g in 0.5, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*f, 15563 = 5*x - 36*f + 32*f. What is the greatest common divisor of 915 and x?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k**3 + 356*k**3 + 411*k**3 + 97*k**3.\nAnswer: 794*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 8660*k**3 + 4290160*k**2 - 455757760*k + 4866170880 = 0.\nAnswer: 12, 128, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Suppose -2*f - 4*k + 3*k = -60, -k = 0. Let l(i) = -36*i. Suppose -273*h - 284*h = -564*h - 7. What is f*v(u) + h*l(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783.575 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 5, k: 4, s: 1}. What is prob of picking 1 k and 1 z?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2 - 2*s - 17. Let w be c(-7). Solve j - 5*j + w = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 446308 + -276741. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.2 (b) -42\/193 (c) 2 (d) -5 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 0.029 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*x + 7 + 3, x + 10 = -4*c. Suppose 4*a = -a + x. Let v = -4 - -7. Solve 11 = v*r + a*m, -4 = -4*m - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 145362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23941\/4692 + -15\/782. Let u = -884909111\/1239 + 4285289\/6. Let x = u - 66\/59. Calculate the common denominator of x and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p + 1391 = -1206. Calculate the remainder when p is divided by 2\/7 - 248\/(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028159287 a multiple of 6513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-21))\/(-1*3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6 = 34. Suppose -15*z = -18*z - 9, -2*q - 279 = z. Find the common denominator of 75\/8 and q\/g - -2 - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712 + 154 = -51*h - 217 - 498 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 75925.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -30*j + 14. Let w be p(7). Let g = w - -204. Solve -g*i + 12*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 191?\nAnswer: 58\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4084*h**2 + 22*h - 2. Let g be l(9). What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0, 2, 67, 715, 83 in ascending order.\nAnswer: -4, 0, 1, 2, 67, 83, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 2. Let v be o(1). Suppose -3*m + 2*m + 5 = -w, 4 = -v*w. Let c = m - -76. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x**2 + 3*x + x + 90 - 59 + 38*x**2.\nAnswer: 78*x**2 + 4*x + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 6*u + 8*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -266, -418, -672, -1028?\n\"Answer: -51*n**2 + n - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from {y: 2, b: 1, r: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -377*b. Let w(g) = -g - 2. Let u(s) = 11*s - 40*s - 2 + 11*s + 16*s. Let t(o) = u(o) - w(o). Calculate t(h(z)).\nAnswer: 377*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760 + 764 + 7*l - 1526 + 12*l.\nAnswer: 19*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111000110121 (base 3) to base 15\nAnswer: 50db4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3602969 and 459439.\nAnswer: 68456411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3319864*b**2 - 87*b - 15380 wrt b.\nAnswer: -6639728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 - -1) - (-121 + 123)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 34*i**2 - 34*i - 20. Let y be s(17). Let k = y - -8278. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by 48\nAnswer: -203\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(-8\/13)\/(d*d**(2\/11)*d**(-2\/3)))\/((d*(d\/(d*d**1))\/d*d)**11*(d*d**(-7))\/d*d**(-1\/7)) assuming d is positive.\nAnswer: d**(16207\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 576. Let y = n - -463. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001035 to seven decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 - 0.8. Let i = -7.5 + 6.61. Let m = i - o. What is the closest to m in 10, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/40 and 29\/11412.\nAnswer: 114120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2424, -16080, -0.1.\nAnswer: -16080, -0.1, 2424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o + 336. Let p be r(21). Let x(q) = 5*q**2 - q + 4. Let w be x(p). Let j(v) = -v**2 + 2*v + 1. Calculate j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4516*g + 4499*g + 19890. What is the highest common divisor of g and 975?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20454?\nAnswer: 2, 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (8 + 1)) + -28 + (5 - 18).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 7. Let o(v) be the second derivative of -10*v**2 - 67 - v - 1\/2*v**3. Calculate -4*o(n) - 11*t(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose 5*r + 20 = 0, 0*r - x*r - 10 = -o. Solve -2*k + 5*i = -k + 14, -o = -5*k + i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305 + 316. Calculate the remainder when 32 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6008323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 3*g - 105 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -96*y + 5. Let r(t) = -146*t + 8. Let z(g) = -8*n(g) + 5*r(g). Let x(k) = 3*k**2. Calculate x(z(i)).\nAnswer: 4332*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l - 1962*l**2 - 4*l + 1960*l**2. Let w = -4 - -14. Let t(q) = w*q + q - 6*q. What is t(n(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2930247 is divided by 152?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6979, 5\/43, 0.065?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8, -5*z + 18 = 3*k - 70. Let w = 38 - k. Find the third derivative of w*v**4 + 8*v**2 - 12*v**4 + 5*v**4 wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 14*h**2 + 721*h + 257 - 704*h - 234. Calculate u(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 + 14 = -4*i, -2*i - 5*h = 24. Let n = 1 - i. Sort n, -7, -5 in descending order.\nAnswer: n, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-8*u - 5 + 5)*(-627 + 454 + 519).\nAnswer: 5536*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2*z**3 + 30 - 22.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3797 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 687 + 15?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 + 5. Let k(f) = 31*f**3 - 14*f**2 - 20*f + 5. Let g(x) = k(x) + 3*n(x). Let w(s) = -s**3 + s**2 + s - 1. Give 4*g(v) + 80*w(v).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16699 = 3*v, 4*q - 2*v = 18273 - 1571. Let u = q + -33461\/8. What is the second biggest value in -2\/9, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) -1373 (c) 0.2 (d) -0.5 (e) 2 (f) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((450\/80)\/5)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*1*(-5)\/10 + 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1345374226 + -1345374207.99999926. Let z = 31 - 13. Let w = z - l. What is w rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 1. Let t be h(4). Suppose 2*q = 1 + t. Solve -q*n - 6 = 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z = 45. Suppose 209 = -z*c + 83. Let j be 40\/((-35)\/c*(-8)\/(-10)). What is the greatest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 6*z - 2*z + (z - 2 + 2)*(2 - 5 + 2) + 4*z + 16*z - 4*z)*(-6*z**2 + 0*z**2 + z**2)*(4*z**2 - 2*z**2 - 3*z**2).\nAnswer: 70*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.960628t to micrograms.\nAnswer: 3960628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181262687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13342, 53062, 119262, 211942, 331102, 476742, 648862?\nAnswer: 847462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let x(k) = -6*k + 3. Let f(r) = -x(r) + 4*y(r). Let g be (-184)\/18 - (-4)\/18. Let j(v) = -v + 2. Give g*j(l) - 6*f(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002713 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122743 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.1. Let s = -9 - -8.5. Let h = 6 + -3. Which is the closest to q? (a) s (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(216))\/(sqrt(132)\/(sqrt(176)*-1)).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 14 = s. Sort s, 2, -1\/3 in descending order.\nAnswer: 2, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*525\/(-35)*2\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91100546 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve q - 24 = 5*a, -a - 1 - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4 + 67562*c**3 + 450292*c**2 + 270168*c = 0.\nAnswer: -22514, -6, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3119?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 6, c: 1, n: 2, x: 3, b: 5}. What is prob of picking 1 l and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16.7 times -4\nAnswer: 66.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(u - 3*u + 3*u)*(13 + 2 - 38).\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -546 (c) -4 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 745 and 935?\nAnswer: 139315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*g**2 + g - 17*g + 15*g - 6*g**4 - 1 to j*g**2 + h*g**3 + v + n*g + t*g**4 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2058 - 2045. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(2 + m - 2) + 0*m - m + 2*m - 16*m + 289 + 297 - 585 to x + p*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 + -5 - -2) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 306993210 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4ba6 - 1?\nAnswer: -4ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/20 + b**4\/6 - 5*b**2. Find the second derivative of n(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11966261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 61350157?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1323020 (base 6) to base 8\nAnswer: -217024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(75)*-1)**2 + (-1 + (sqrt(432) - sqrt(432)*-1))**2.\nAnswer: -48*sqrt(3) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47733*d**5 + 3746*d + 12 wrt d?\nAnswer: -954660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4531.\nAnswer: 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 + 4*n**3 - 4*n**3 + (2 + 0 + 0)*(2*n**3 - 2*n**3 + 2*n**3) + 12*n**3 - 46 + 46 + 0 + 0 - 2*n**3 + n**3 + n**2 - n**2 + 9*n**2 - 4*n**3 - 9*n**2.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 348, 874, 1768, 3036, 4684?\n\"Answer: p**3 + 178*p**2 - 15*p + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by 2\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*h = -320, 3*r - 8*r + 2*h = 524. Let a = r - -200. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 259, 718, 1951, 4324, 8203, 13954, 21943?\n\"Answer: 61*h**3 + 21*h**2 - 31*h + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/88 and (3\/70)\/((-8)\/(-7))?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(36)\/(sqrt(2)*1) + -3.\nAnswer: -7 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2262 and 19595706?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 4:20 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s**2 + 2*s**2 + 3*s**2. Let l(y) = -y - 2. Let c(j) = 6*j + 11. Let x(q) = 4*c(q) + 22*l(q). What is v(x(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (3*(sqrt(117) + 6*(sqrt(117) + 1 + sqrt(117)) - sqrt(117)) + 5 + 2)**2 + -3.\nAnswer: 5400*sqrt(13) + 152247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(57)\/sqrt(3) - (-2 + (sqrt(19) - (0 + sqrt(76)))))**2.\nAnswer: -10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2)*(132 - 81 + 102)*(0*i + i + i) to the form c + z*i and give z.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187983 + -187987. Let m = 0.6 - 3.6. Which is the second biggest value? (a) x (b) m (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57837449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/84 and -41\/11100026.\nAnswer: 66600156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -0.03 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-7) + (6 - 8). Let o = -0.7 + 0.58. Let w = 0.88 - o. Which is the nearest to w? (a) 0.3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16473 + 2757 = 508*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 294*y**2 - 161 + 151*y + 172 + 292*y**2.\nAnswer: -2*y**2 + 151*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 - -389.1. Let u be ((-4)\/5)\/(4\/30). Is l at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**5 - 2*a**5 + 5*a**5 + (0*a + a**2 + 0*a)*(-a**2 + 4*a**3 + a**2) + 2*a**5 - 2*a**5 - a**5 + 0*a**3 - a**5 + 0*a**3 + 0*a**2 - 2*a**5 + 0*a**2.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1 = -8*z. Let k be (-144)\/(-405) - ((-7)\/9 - z). Put 3, k, 1, -2 in increasing order.\nAnswer: -2, k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41759, 167236, 376413, 669290, 1045867, 1506144, 2050121?\n\"Answer: 41850*s**2 - 73*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43416.8 and 4?\nAnswer: 43420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16002937.\nAnswer: 16002937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150480 divided by -12540.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2101 - -6244\/3. Let t = -327 + 10790\/33. Find the common denominator of i and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7882, 2, 3, -3 in descending order.\nAnswer: 3, 2, -3, -7882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 3*q**2 - 12 + 23 + 0*q**2 - 2*q**2 + 3*q**2 + (0 + 1 - 3)*(2*q**2 + 0*q**2 + q**2) - 2*q**2 + 3*q**2 - 4*q**2.\nAnswer: -11*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4928 is divided by 470?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -27.204. Let p = f - 0.043. Let a = p - 0.043. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, k: 1}. What is prob of sequence dk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427\/(-11)*-1 - (-2)\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 1 (b) -1\/2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 5*u + 36, -19*u = 2*o - 24*u - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 661, 1269, 1857, 2419, 2949, 3441, 3889?\nAnswer: 4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-34))*w*w\/(w\/(w**37*w*w)))\/(w**(-28)*w**(-28)) assuming w is positive.\nAnswer: w**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -76. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 e when four letters picked without replacement from yyyyyeyyyyyyyyeyyyye.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(11\/6) assuming k is positive.\nAnswer: k**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-49 - -57) + -21 - 94)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 483*o**3 + 1179*o**2 + 889*o + 198.\nAnswer: -(o - 99)*(o + 1)**2*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let y be u(8). Let p be 160\/y*(-18)\/(-4). Suppose -3*o + 150 = 5*v, 0*o = -4*v - 4*o + p. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -5*z + 12*p + 4684, 4*p + 1888 = 2*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2994 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 5\/4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2523 + -2492. Calculate the remainder when l is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 69*s**3 + 4*s**2 - 8*s + 3. List the prime factors of a(2).\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2131100 (base 4) to base 9\nAnswer: 14722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159993*z**2 - 1156705*z**2 + 2319882*z**2.\nAnswer: 3184*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1343 - 859. Suppose q - 6 + 3 = 0. Suppose -q*g - 4*z = z - 460, -3*g + m = -z. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000100111011111100001 + 101?\nAnswer: 110000100111011111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/409 - -58457\/2454. Calculate the common denominator of 93\/2 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usyauqsuuuquuuqay. What is prob of picking 1 y, 1 s, and 1 q?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-42)*6 - (-105)\/441*309. Solve 0 = -4*l + 4*j - 4, 79*j = 2*l + p*j + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 82*h**3 - 10*h**2 + 11*h - 2. Give t(1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z**(-16)\/z))\/((z\/(z*z*z*(z*z**(3\/8))\/z*z))\/z))\/(z*z*(z**18\/z)\/z)**24)**(-4) assuming z is positive.\nAnswer: z**(3269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 841 divide 16566820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:03 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let g = q - 0.1. Which is greater: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1*(0 + 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Let m(i) = -i - 1. Let s(u) = -u**2 + 9*u - 3. Let c(j) = -2*m(j) - s(j). Determine c(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -131?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -253435 divided by -7241?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39039 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 13*x + 16. Let o be f(-12). Find the first derivative of -3 + 70*r**o + 0 - 75*r**4 - 6 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(((-20)\/(-8))\/5). Suppose w = -a*w - 20. Put -1, -5, w in descending order.\nAnswer: -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-3))\/(5\/15). Suppose 7*v = 3*d + 4*v, 0 = k*d - 2*v - 3. Let w(g) = 45*g. Does 15 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-1)*(-78)\/65. Suppose o + 4 - r = 0. Suppose -4*i = -o*i + 3*f - 131, -4*i + 255 = -f. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - 20. Let l = p + 31.9907. Round l to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.6 - -127.21. What is the closest to -2 in r, 1\/5, -5, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:01 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.5. Let n = -89 + 359\/4. Which is the closest to 1? (a) w (b) n (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 7*n - 7. Let q be j(-5). Let t be q*((-6)\/9 + 1). What are the prime factors of 1 + 9 - t*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 19. Which is the third biggest value? (a) u (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.2. Let m = -4.99 - r. Let f = m - -10. What is the smallest value in 1\/5, 1\/4, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1699.8729 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -479.1166 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p + 6, 0 = 2*i + 3*p + 2. Suppose 4 = 6*v - i*v. Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 1. Let n(p) = p**3 + 5*p**2 + 5*p + 3. Give n(a) - 5*o(a).\nAnswer: a**3 + 10*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*((sqrt(42)\/sqrt(7))\/sqrt(3) - (sqrt(6)\/(sqrt(3)*-2 + sqrt(3)) + sqrt(2)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/3 (c) -0.04 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96055369667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 77. Suppose 45 = 3*v + 5*y, -3*v + 3*y = -36 - u. What is the remainder when 73 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6686?\nAnswer: 2, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -6) + 4 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11284.\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17230169*n - 8005326 wrt n?\nAnswer: -17230169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/(sqrt(11)*-2) + 0 + sqrt(396))**2 + -5 + (sqrt(1584)*2 - sqrt(11) - (-1 + sqrt(704))**2))*-5.\nAnswer: -195*sqrt(11) + 7545\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*w = 1636*w + 977*w - 176663 + 60150 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4075181755 rounded to 3 decimal places?\nAnswer: -0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12537?\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120564779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/(3\/(-6)). Suppose -f - 2*v - 3 = 2, 2*v + 15 = f. Suppose -3*y + u = -f*b + 8, 0 = 3*y - 15. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**1*r*r**0)\/((r\/(r\/(r\/r**3)))\/r**4))**(-32))**(-5\/2) assuming r is positive.\nAnswer: r**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36 - -5?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3655302.\nAnswer: 2, 3, 7, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-899)\/290 - 12\/20?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5814*c = -5671*c - 1287 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/(45\/(-3)). Let o(i) = 4*i + 103. Let d(z) = -32*z + 134. Let n be d(5). Let y be o(n). Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from bbxxxxbxbbxxx.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, q: 2, d: 2}. Give prob of sequence qdw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 3. Let k be x(-4). Let q = k - -17. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12322237560 to the nearest 1000000.\nAnswer: 12322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303679 is divided by 66?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let g be w*((-5)\/3 + 1). Let p = g + 13. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.026? (a) -2.3 (b) 1157 (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16252 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 at least as big as 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 17 - 2*g + 4*g - 13.\nAnswer: 2*g - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40369, 39821, 38337, 35449, 30689, 23589, 13681?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2241956.\nAnswer: 2, 560489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**4\/4 + 4*l**3\/3 - 2*l**2 + 3*l - 31. Let y be r(2). Let m = y + 213. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 102*g - 101*g - 193410, -g = 2*b - 96704. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by -5?\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:51 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 27038 = -26856 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 3*w - 4*w)*(-w**3 - 2*w**3 + 5*w**3) + (-w**2 + w**2 - 10*w**3)*(w - 3 + 3) to k*w**2 + o + m*w**4 + d*w**3 + c*w and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-2))\/(b*b\/(b\/(b*b\/b**(-1\/4)*b))*b*b*b**19) assuming b is positive.\nAnswer: b**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m - 5*a - 463 = 0, -a - 727 = -3*m. Let t = -224 + m. Calculate the highest common factor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1894\/405 or 5?\nAnswer: 1894\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 249 + 11. Is (-3 - g)\/(-1 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/120 - u**5\/20 - u**4 + 17*u**3\/6 + 42*u**2 - 1. Let f be t(7). What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/225)\/((28\/(-12))\/7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2\/15, -34\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 568 (b) -9879 (c) 0.3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*f + 43 + 12, 0 = 2*y - 5*f - 19. Calculate the smallest common multiple of 606 and y.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/15))**(-14)\/(n**16\/n*n**(10\/3)) assuming n is positive.\nAnswer: n**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 < 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in -5\/3, 3, 9, 39, 0.2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93, 180, 267, 354, 441, 528?\n\"Answer: 87*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let t(x) = -2*x**2 + 0*x**2 + x**2. Give -6*m(i) - 7*t(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-4 + (-216)\/(-30))\/((-2)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2883 equal to -1504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - 6*y**2 + 4*y**2)*(y + y**2 - y) + (8*y**2 - 9*y**2 - 43*y**2)*(-y + 16*y**2 + y) in the form g*y**3 + d + z*y**2 + h*y + s*y**4 and give s.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1802*j**5 + 5400*j**4 - 18*j**3.\nAnswer: 2*j**3*(j + 3)*(901*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 43 = -2*a, 0*z - z = -a + 4. Suppose -57 = -2470*o + 1235*o + 1216*o. Solve -3*p = o*l + a, -5 = 2*l + 5*p + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -15734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, -26, -3, 0, 23, -4.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 39. Let t be a(-6). Sort t, -2, -4 in descending order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -1\/3, 0.3, 195?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and -295025?\nAnswer: 944080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-6)\/(-18)*-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.16 * 0.4.\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 2*r - r - 1. Suppose 5*s - 1 = -16. Give x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, p: 1, b: 2, r: 5, i: 1}. Give prob of sequence pb.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16*l = 54. What is the greatest common divisor of l and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19232496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/4 + c**3\/3 - c**2\/2 + c + 76. Let a(x) = -7*x**3 - 2*x**2 + 4*x - 2. Determine -a(o) - 2*t(o).\nAnswer: 5*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4917 + 4917 - 26*j**2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27230 + 19840*c - 27230 to n + k*c and give k.\nAnswer: 19840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -65, -228, -517, -968, -1617, -2500?\n\"Answer: -6*p**3 - 9*p**2 - 4*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 + 20*c**3 + 46*c**2 + 24*c = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 11*i = -2*k + 7024, i = 2*k - 7033. What are the prime factors of k?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + c - 1 = -2, -r + 3*c = -3. Suppose 3*s - 3*j - 27 = r, 14 = s + s - 3*j. Solve s = 4*k + n, -7*k - n = -2*k - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:41 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6201 (b) 3\/5 (c) -5 (d) 1 (e) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 8*u + 40. Does 84 divide d(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 + 4*m + 8. Let x(r) = -12*r**2 - 9*r - 17. Give -9*q(h) - 4*x(h).\nAnswer: -15*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*g**2 + 10*g**3 + 9*g**3 - 20*g**3 + 30*g**3 + 24*g**3.\nAnswer: 53*g**3 - 130*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 8*l**4 + 1027*l**3 - 6754*l**2 + 13224*l - 7488 = 0 for l.\nAnswer: -39, 1, 2, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3144 and 3\/1773347.\nAnswer: 42560328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100020120012 - -2?\nAnswer: -100020120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -123*c - 7. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87157575.\nAnswer: 3, 5, 131, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 9*o**3 + 6*o**3 + (-5*o + 16 - 16)*(-o - o**2 + o + (o + 2*o - o)*(-2 + 2 + o) + 2*o**2 + 5*o**2 - 5*o**2).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 438, 436, 434, 432, 430?\n\"Answer: -2*r + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*h - 581*h - 4*p - 200 = 0, 18*h - 825 = 3*p for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/40 + 3*s**5\/10 - 69*s**3\/2 - 117*s**2. What is the derivative of j(q) wrt q?\nAnswer: -9*q**2 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -54*g + 17*g + 14*g. Let k(d) be the first derivative of -d**3\/3 + 81. Calculate k(s(c)).\nAnswer: -529*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3048 - 7593. Suppose -16*u + 7*u = -x. What is the remainder when u is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 5*a + 7. Let w be t(3). Find the second derivative of 258*u**2 - w*u - 227*u**2 + 59*u wrt u.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from hhwwwxxw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -256*c + 83. Is j(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -59*m + 296. Give t(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182.478 and 0.3.\nAnswer: -54.7434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let h(i) = -i. Let g(c) = -c**2 - 5*c. Let r = 4 - -4. Suppose u = 3*t + t, -3*u = -4*t - r. What is m*g(s) + u*h(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022143 - -14?\nAnswer: -1022124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjz when three letters picked without replacement from bbbbzwjzzzwwbzzbw?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2b?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 - 15 = 0. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15 + 3*q + q - 5*q - 6. What is the lowest common multiple of 10 and x(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*q**2 + 61*q - 2 + 46*q + 5*q**3 - 127*q - 68*q**2 to the form i + p*q**2 + n*q**3 + b*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2486, 2562, 2626, 2678, 2718?\n\"Answer: -6*i**2 + 94*i + 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -757047, -1514116, -2271185, -3028254, -3785323?\n\"Answer: -757069*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -341380 (base 9) in base 13?\nAnswer: -7208a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Let x(k) = 44561130*k. What is x(i(s))?\nAnswer: -44561130*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3539 - 53. Let b = -156 + f. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7121 + 7121.4. What is the closest to -2\/7 in r, -5, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.079 (b) -0.3 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 350 + 98. Suppose -4*y = -2*r + 292, c = 5*r - 2*r - y. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 548b7?\nAnswer: -548a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from {i: 12, d: 1, y: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - k**2 - 46*k + 127. What is d(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204765112 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2005722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from {d: 11, e: 2, x: 2}.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 31. Let r(c) = -36*c + 98*c + 94 - 37*c - 35*c. Let l(v) = 7*n(v) - 2*r(v). Let t be l(18). Solve -4*o - 32 = 3*f - 13, 3*f = 4*o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let v be -8*(28\/8 + (-5 - -1)). Let a(i) be the third derivative of -4*i**2 + 1\/24*i**v + 0 + 0*i**3 + 0*i. Determine p(a(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0*a)*(74*a**2 - 7199*a**4 - 7214*a**4 + 14391*a**4) - 2*a + a**5 + 2*a.\nAnswer: 23*a**5 - 74*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/197 - 187\/985. Let g be (-19 + 20)*(-1 - 0). Which is the nearest to g? (a) v (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 182?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 3*h**2 - 3*h + 2. Suppose 0*g - 2*s + 8 = g, -4*g = -4*s + 4. Let v be w(g). Does 26 divide 6\/8 - 410\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 4. Let f = 5 + x. What is the units digit of ((-1 - f) + 1)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357 divided by -114?\nAnswer: 1357\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 - a**2 - 3*a + 2. Let b be x(2). Let c be (-3 - (1 - -16))*-4. Suppose -3*u + u = -c. What is the highest common factor of b and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 62*t + 14. Let g be w(-31). Suppose -9 = -3*u + 5*v, 5*v - 13 + g = 2*u. What is the least common multiple of 224 and u?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c**8))*c)\/c**(1\/7))\/(c*c**(1\/5)*c*c**(-5)\/c) assuming c is positive.\nAnswer: c**(513\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(-5 + 3 + sqrt(1216)*-2) + ((sqrt(1216) - (sqrt(1216) + 1 + -1)) + -1)*1)**2.\nAnswer: -219125 - 3360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26479*b**3 + 2*b - 5705 wrt b.\nAnswer: -158874*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 180 + 75 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031*v - 1226*v - 9540 = 1207*v - 3252*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 3. Let f be (-3)\/((-26)\/(-9) - 3). Let r = -22 + f. Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxrxr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 7) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 - -174. Let r(h) = -3*h**2 - 2*h - 43. Let c(s) = -4*s**2 - s - 43. Let x(w) = g*c(w) - 6*r(w). Find the first derivative of x(o) wrt o.\nAnswer: -4*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (77\/(-44))\/(1\/(-20)). Let f = 35 - v. Suppose 4*k - a + 20399 = f, k - 9*a + 5098 = -7*a. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*19\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 n when four letters picked without replacement from {d: 1, b: 3, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -483, -485, -487, -489, -491, -493?\n\"Answer: -2*a - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 23. Put -5, -3, -4, r in ascending order.\nAnswer: -5, -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19822, -20030, -20374, -20854, -21470, -22222?\n\"Answer: -68*l**2 - 4*l - 19750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*c - 7. Let b(q) = -4*q. Let h be b(-7). Suppose -5*t + w + h - 5 = 0, 5*w + c = 5*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**1)\/f**(-1\/6))**(2\/9)*(f**(4\/9)*f\/f**(-1\/4))\/((f\/f**(-6))\/((f**(-1\/7)\/f)\/f)) assuming f is positive.\nAnswer: f**(-5435\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -237 + 339 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-16))\/((-2300)\/(-80) - 29)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/3404160 and -49\/277376.\nAnswer: 37445760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4 - 16*z**3 - 4884*z**2 = 0.\nAnswer: -33, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + c + c - 5, -s + 5*c = 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000412968 rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-1) + 1\/1. Let z(m) = m**2 - 11*m + 7. Let l be z(10). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in -4, -11\/4, -3\/7, -18897?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + sqrt(475) - sqrt(19) - (sqrt(57)\/(sqrt(12)\/sqrt(4)) + sqrt(19) - sqrt(19))) + ((1*sqrt(114))\/sqrt(2))\/sqrt(3))**2.\nAnswer: -8*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 377.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 28. Suppose 48 = 4*a + 2*d, -3*a + 3*d = -2*a - 12. Let j = a + -5. Calculate the remainder when n(-15) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w - 5. Let i(a) = 0 + 2 - 3 - 15*a. What are the prime factors of i(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30\/7 (b) 40 (c) 3 (d) -0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/30 + 55*u**4\/24 + 5*u**3 - 144*u**2. Let b = 57 + -29. Let y be r(b). What is the nearest to -1 in -2, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 573847621*t**2 + 810223*t - 111?\nAnswer: 1147695242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195.102 litres to millilitres.\nAnswer: 195102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 904254 + -500155. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 14 + -5 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -20. Suppose -t - 156 = 2*t. Let u = s - t. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 65 = -5*k, -4*f = -2*f. What is the remainder when 63 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 0*m**3 - 4*m**3 + (4 - 4 - 2)*(-m**3 + m**3 - 2*m**3).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 12*q + 25. What is y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-7) - ((-1080)\/(-28) + (-1860)\/(-868))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 110, 216?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -48 (b) 4 (c) -1\/19 (d) 0.2 (e) -0.3 (f) -1\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -9528 (b) -3 (c) 0.04 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.3, 47, -3, -2\/41?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 51*m - 8. Let k be b(4). Let u = -297 + k. Let l = u + 120. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510372158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*m - 6 = 6, 2*m = s. Let x(o) = 1 + 1 + 2*o**s - o**2 + o**3 - 3. What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 3*h**2 - h. Let u(n) = -2138*n**3 + 9*n**2 + 3*n + 1256. Let a(j) = -3*m(j) - u(j). Differentiate a(s) with respect to s.\nAnswer: 6441*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4386 + -4385. Which is greater: c or -3\/473?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*t - 18516 + 140009, 0 = -2*t - 5*s + 81027. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -51. Suppose -2*m + 199 = 3*z, -k*m - 5*z + 50 = -347. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 15) to base 3.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j = 0. Let q(g) = -g**2 + 14*g - 15. Let h be q(13). Let n be (-338)\/(-342) - 3 - h. Which is bigger: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3418742*111.\nAnswer: 379480362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let z = -3 - -2. Let g(m) = m**3 + 6*m**2 + m + 10. Let f be g(-6). Which is the biggest value? (a) z (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12958*r**2. Let y(z) = -191*z**2. Determine g(y(j)).\nAnswer: -472720798*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/((-160)\/(-48)) - 1\/1. Solve 4*z = 2*k + 20, 19 = 3*z - 2*k + m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11048086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:12 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let v = 15.8 + -10.8. What is the nearest to 2\/7 in v, t, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 11*v - 9. Let x(z) = z**2 - 11*z - 8. Let s(n) = -2*i(n) + 3*x(n). Give s(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 4 (b) 0.2 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74881 and 12154.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/3 + 177916*c + 2668790\/3 = 0. What is c?\nAnswer: -5, 266879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 0*o)*(-3 + 6*o + 0 + 2)*(3*o**3 - o**3 - o**3).\nAnswer: -6*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/l*l)\/l*l**(-2)*l**(-4)*l\/((l\/l**(-3)*l*l)\/l)*l assuming l is positive.\nAnswer: l**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)*x*x*x**(1\/4)*x*x\/((x*x*x**(-2\/13)*x*x)\/x)*x\/((x*x*x**(2\/5))\/x)*x*x)**(8\/7) assuming x is positive.\nAnswer: x**(4166\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3647509 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**3 - 3*t. Let d(b) = 29*b**3 + b**2 + 16*b - 1. Determine -11*c(a) - 2*d(a).\nAnswer: 8*a**3 - 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 15. Suppose 2*y + 6 = 36. Let b be q(y). Let f be (3\/(-2) + b)\/((-255)\/180). Is 2 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 6*k = -110. Let n be (k\/(275\/30))\/((-6)\/15). Let b be (85\/15 - 5) + (-1120)\/n. Calculate the highest common factor of b and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:38 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143924 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*o**3 + 116*o**3 - 279*o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 71 times 568\nAnswer: 40328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frb when three letters picked without replacement from rfrrbfrbrbfrfrfbr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -152 times -1779\nAnswer: 270408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.49 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488424342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 146 and -2326591.\nAnswer: -2326445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*j + 9 = 0, 0 = -0*r - 3*r - 3*j - 3. Let y be -42 - (2 + -1)\/(r\/2). Let u = y + 89. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:11 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 1, q: 3}. Give prob of sequence qzm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90434051971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t + 1067 = 1648*t - 474 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4440 or -4447?\nAnswer: -4447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 82*a**2 - 1275*a + 862. Calculate w(-60).\nAnswer: -1838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.055 minus -6.8826?\nAnswer: 5.8276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-1)\/2*32\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 36 - (4 + (5 - 0) - 2 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/6)\/(2\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 203 = -1357. Let l(k) = -2*k**2 + 58*k + 42. What is l(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13986 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13.5, 2\/9, -5, 1, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-95) - (-18)\/5. Let p(q) = 0*q - 4 + q + 0*q. Let z be p(i). Solve 4*c - 9 + 1 = z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (878*a - 599*a - 2342*a)*(1 - 1 - a) as y*a**2 + q*a + c and give y.\nAnswer: 2063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*(-8)\/12*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21863 or -87455\/4?\nAnswer: -21863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 889*d**2 + 6376*d - 8. Give o(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 2*m**3 - 9*m**3 - 6*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7115 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 0.73 in descending order.\nAnswer: 3, 0.73, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*g - 168 = -4*w - 264, 0 = -3*w + 2*g + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12)\/(c*c**(2\/5))*(c**(-3))**(22\/3) assuming c is positive.\nAnswer: c**(-177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 341.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3384055, 6768108, 10152161, 13536214?\n\"Answer: 3384053*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 - (9 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -222 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 12) to base 5.\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/60 - r**2\/2 + r. Let u(l) be the first derivative of s(l). Let d(x) = -25 + 16 + 2*x + 9. Determine d(u(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z. Let p(t) = 250*t + 2. What is p(v(d))?\nAnswer: 3250*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29852679.\nAnswer: 3, 107, 113, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b + 742. Calculate m(-72).\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:14 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 3*n**3 + 3*n**3)*(n**2 - 6*n**2 + 4*n**2) + 4*n**5 + 58 - 58 - 2 + 2 - 3*n**5 - 139*n + 139*n + 108*n**5.\nAnswer: 110*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1505171 (base 8) to base 14.\nAnswer: -b230d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.478 + -0.278. What is the nearest to 3\/2 in g, 3\/8, -2\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -581200 by 1.\nAnswer: -581200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwb when three letters picked without replacement from wrb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 141. Suppose j*l + 177 = 642. Calculate the remainder when l is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-13) - (-28)\/(-182). Let v be 43\/2 - (-2)\/4. Suppose -2*x - 6 + v = w. Solve 3*z + q + 12 = 0, -3*z - q - x = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1319*q*u**3 + 298*q*u**2 + 846353*q with respect to u.\nAnswer: 3957*q*u**2 + 596*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9998625 millennia to centuries.\nAnswer: 9.998625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -22. What is the remainder when (3\/(-6))\/(3\/t) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let f(q) be the first derivative of -q**4\/4 - q**3 + 5*q**2\/2 + q + 3. Let n be f(-4). Put h, 3, n in descending order.\nAnswer: 3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i, 4*x + 7*i = 2*i - 1205. Calculate the common denominator of ((-1836)\/(-1800))\/(18\/15*(-6)\/(-42)) and (436\/x)\/((-4)\/10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3651\/790 - 22\/79. Let i = 45959\/9618 + 5\/687. Find the common denominator of u and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.6? (a) 2 (b) -64\/13 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m**(-41))\/m)))**(-12\/11) assuming m is positive.\nAnswer: m**(492\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 1 + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:03 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9135*n**2 - 6*n + 574563?\nAnswer: -18270*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 14, z: 1, c: 1}?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-107)\/(1712\/24))\/(6\/(-160)*-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 1*(-3 - -6). What is the derivative of q*a**4 + a**4 + 3 - 8*a**4 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(252) + -2)**2.\nAnswer: -84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*x + 117983*x**3 - 1 - 22*x - 17*x.\nAnswer: 117983*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let l be -4*(-1 - 15\/12). Let q be 5\/(3\/(l\/3)). Solve 0 = -f*w + u + q, -2*u = -w + 1 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73847754?\nAnswer: 2, 3, 1367551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6728 + 33641\/5. Let c(k) be the second derivative of 0*k**4 - t*k**5 + 0 - 9*k**2 - 7*k + 0*k**3. What is the derivative of c(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4407, -1309, 1787, 4881?\n\"Answer: -k**2 + 3101*k - 7507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*220\/88*(-1)\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -3\/4*a**5 + 3*a + 1\/6*a**6 + 0*a**2 + 5\/42*a**7 + 0 - 5\/12*a**4 + 5\/3*a**3. Factor m(r).\nAnswer: 5*r*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*l + 4*o - 59, -3*o - 8 = 5*l. Let z = -0.5 + 0. Let u = 4 - 3. Which is the second smallest value? (a) z (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 12*l**2 - 28*l + 335. Calculate w(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59632, -57395, -55154, -52909, -50660, -48407, -46150?\n\"Answer: 2*f**2 + 2231*f - 61865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**5 + 2*i**5 - 8*i**5 + 22*i**5 + 52*i**5 - 36*i**5 + 2*i**5 - 2 + 2 + (3 - 3 + 2*i**4)*(-2*i - 3 + 3) + 3*i**5 - i**4 + i**4.\nAnswer: 46*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-21)*c**(-3\/10)*c*(c\/(c**(-23)\/c))\/c**(2\/53))**49 assuming c is positive.\nAnswer: c**(147049\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + 2*c + 1. Let d be n(2). Let h = 10 - d. Suppose h*j - 4*j = 0. Solve 5*b + 7 = -3*x - 16, -5*b + 3*x - 17 = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1729 + 1727. Let t = -23\/30 + 1\/6. Which is the biggest value? (a) 4 (b) t (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6262.5552 rounded to the nearest ten?\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2b92 (base 12) to base 10\nAnswer: -5150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = -2*t. Let d = t + -6. Suppose d + 2 = -4*l. Let j(s) = s**3 + s**2 - s - 2. Calculate j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1456*v**2 + 30*v - 15. Let p(l) = -2534897*l**2 + 52236*l - 26118. Give -8706*m(b) + 5*p(b).\nAnswer: 1451*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1\/2, 0.212, 5 in increasing order.\nAnswer: -8, 0.212, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1310 and 3864.\nAnswer: 2530920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102122333 + -1033?\nAnswer: -1102130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 10:30 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 394 = -2*g + 31, -3*v = -6*g + 1281. What is the remainder when g is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 26. Let h be n(-23). Differentiate 45*w**h + 1209*w**2 - 1209*w**2 + 47 with respect to w.\nAnswer: 135*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/7)*y**3)\/(y**(-4)*y)**(-13))**4 assuming y is positive.\nAnswer: y**(-1020\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2 + 6*r + r**3 - r**2 + 3*r**2 - 13*r. Suppose 15*g + 18 = 12*g. Let l be b(g). What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 5*i + 7. Let u(a) = -4*a**3 - 6*a + 7. Calculate 5*u(n) - 6*x(n).\nAnswer: -2*n**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -315, -309, -297, -279, -255, -225, -189?\n\"Answer: 3*q**2 - 3*q - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8969 (base 13) to base 6\nAnswer: 224452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*m**3*q**2 - 2*m**3*q - m**3 - 2*m**2*q**2 - 4*m*q - 722*m + 5361*q**2 + 5*q wrt q?\nAnswer: -138*m**3 - 4*m**2 + 10722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89 + 48927\/(-564))*-40.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b - k, -3*k - 6 = -5*b. Suppose b*n - 17 = -c + 7*n, -8 = 4*c + 3*n. Is 2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -6.614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(1\/3))*t**(1\/5)*t*t**15\/t**(2\/7) assuming t is positive.\nAnswer: t**(1706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 0. Let i(y) = 8*y**4 + 7*y**3 + 9*y. Let d(g) = -7*g**4 - 6*g**3 - 8*g. Let s(j) = x*d(j) - 6*i(j). What is the second derivative of s(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11931, -23215, -33813, -43725, -52951, -61491?\nAnswer: -69345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76.67746ug?\nAnswer: 76677.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255135 and 9125?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2 - 10*t + 3. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.02 (b) 2\/45 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.876 to two dps.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -17. Let m = -146 + 132. Let v = n - m. Solve -1 + v = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -62?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(70) + sqrt(70))\/(sqrt(10) - (sqrt(1440) + sqrt(1440)*1)).\nAnswer: -5*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/348)\/((-3)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(1944\/(-144))*(3\/2)\/((-66)\/(-55))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 2\/13 (c) 2\/7 (d) 406517 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 23*k + 1335. Let i = -87 - k. Calculate the greatest common factor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 61*f + 6839. Let z be k(-112). Sort z, 3, -15, -31.\nAnswer: -31, -15, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 2*d - 8, -4*d - 311 = b - 299 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 4:49 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3. Let v(d) = -3*d**3 - d**2 + d. Let f = -214 - -212. Calculate f*n(y) + v(y).\nAnswer: -y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 25. Let i = m + 29. Solve -2*c = 2*v + i, -c + 5*v = -6 - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a day?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, g: 4, e: 2, l: 1, a: 3}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20703 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f**3 - 6*f + f**3 + 2*f + 4*f**2 + 5 - f. Let t be z(-5). Suppose -t*u = -4*u. Solve u*o - o - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 9\/5, -2, -1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/1680 - g**7\/280 + g**6\/120 - g**5\/120 - g**4\/8 + 3*g**2. Let p(w) be the second derivative of j(w). Factor p(z).\nAnswer: (z - 1)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -690\/11, 1\/11 in decreasing order.\nAnswer: 0.2, 1\/11, -690\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -50. Sort -4, -5, j, -6 in decreasing order.\nAnswer: j, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -29, -24, -19, -14, -9?\n\"Answer: 5*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 2*sqrt(85))*4*6)\/((sqrt(35) + (sqrt(1260) - (sqrt(1260)*1 + sqrt(1260))) + sqrt(1260))\/sqrt(7)).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 57*d - 510. Let k be g(9). Solve 3*y - 8 = -2*m, k*y - 4*m + 16 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 1. Suppose 5*c - 1 = -2*x, 0 = c + 2*c - 5*x + 18. Let w be s(c). What is the second derivative of 3*n + n**4 - 6*n + w*n**4 wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*v + 39. Solve 5*o = -6 + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u + 7. Let n be y(0). Find the third derivative of 6*x**2 + n*x**5 - 8*x**5 - 13*x**2 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 51*o**2 + 114*o + 413. Let b be k(49). Do b and 10799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -482.1 - -481.6. Which is the fifth biggest value? (a) -2\/9 (b) -2 (c) 2\/37 (d) y (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53948 and -0.1.\nAnswer: 53947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103741 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8345 + -28675.\nAnswer: -28673.1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 546*s**2*x**3 + 7*s**2 - 194899*s*x**2 + 826*x**3 wrt x.\nAnswer: 3276*s**2 + 4956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -6, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2 - 7*v - v**2 - 5*v**2 - 9*v**2 wrt v?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847635 + -375638. Suppose x + p + 39515 - 133918 = 0, -5*x + p = -u. Round x to the nearest one thousand.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h - h + 6*h - h**3 + 3*h**3 wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 4}. What is prob of sequence ccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:09 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 7*h**2 - 135 to t*h + w*h**2 + c and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10187797 is divided by 280?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suuysyuvvuyu. Give prob of sequence yss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 10*u = -4*t - 17, 79*t + 232 = -0*u + u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11847 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2. Suppose -15 = -21*b + 16*b. Let d(f) be the first derivative of 0*f + 1\/3*f**3 - b + 0*f**2. Calculate n(d(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/36 and -93\/68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437335?\nAnswer: 5, 157, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 0*k - 3 = -k, 3*k = 2*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 4, -2, 5, 0, -3.\nAnswer: -43, -3, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 - -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 1. Let k(f) = 4*f - 6*f - 50 + 90 - 48 + 8*f**2. Let c = -1 + 0. Determine c*k(r) - 6*l(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n + 5*n + 5*n. Let l(q) = 0*q + 3*q - q - 4*q. Calculate j(l(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4747, 12042, 19337?\n\"Answer: 7295*o - 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28*-6)\/((-175)\/735*(-3)\/55).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 40 = 6*s - 53*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + -168. Let n = m - -700. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 y when three letters picked without replacement from {l: 5, i: 1, c: 1, y: 3, o: 2, z: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -2799929092706 and 8.\nAnswer: -2799929092698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/((-7)\/21). Let x be (24\/4)\/(g\/12). Let n be (x\/28 + 1)*-7. What is the highest common factor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*b**3 - 5*b**3 - 3*b**3)*(-2*b + b + 0*b) + b**3 - b**3 - b**4 + 398 - 398 - 21*b**4.\nAnswer: -38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 264 - 11*p - 264.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36933048?\nAnswer: 2, 3, 512959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 + 149.99757. Let r = -0.0005 + b. What is r rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 3961\/11, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -4 (b) 4 (c) 0.2 (d) -2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17510, 19064, 20618?\n\"Answer: 1554*u + 15956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410*i**4 - 2*i**3 - 6*i**2 - 46*i.\nAnswer: 9840*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92484 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -24. Solve 4*b + 10 + p = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61887681 to the power of 1\/2, to the nearest integer?\nAnswer: 7867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27113033819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1053) + -3)*-3*4.\nAnswer: 36 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g + 59*g = 86*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 11 + -4 - 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4774*b + 554132 = 1121*b - 141478 for b.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.156 - -11.856. Let v = x - -0.3. Let l = -7 + v. Sort 1\/4, l, -4 in descending order.\nAnswer: l, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(152) - 2*sqrt(152)))\/((sqrt(80)*-1 - sqrt(80) - sqrt(80))\/sqrt(10) - 1*sqrt(8)*4).\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/(o*o**(-1))*o\/o**(2\/5)*o*o**4*((o*o**(1\/3)*o)\/(o\/o**(-2)))\/((o**(2\/5)*o)\/(o*o\/o**1*o)) assuming o is positive.\nAnswer: o**(77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 13. Let g(d) = d**3 + 10*d**2 + 17*d + 17. Let h be g(-7). Let a = -54 + h. Is a > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 455830699 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*c - 20 = 0, -13783*w - 5*c = -13788*w - 100 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637053 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 403 + l - 135 + l.\nAnswer: -3*l - 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 756 + -764 + 2 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5 + 11*s**4 - 39*s**3 + 61*s**2 - 44*s + 12 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 1}. Give prob of sequence zyz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + k - 1 - 10 = 0, 19 = 3*a + 4*k. Solve -2*r = 2, -2*o + 5*r - a = -7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 40941 = -y, -2*k + 27280 = -2*y - 2*y. Suppose k + 2286 = 28*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 12*l - 2. Let v be n(-11). Suppose y - v = -2*y. What is the third derivative of -2*x**2 + 4*x**5 + 6*x**3 - 6*x**y + 0*x**2 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (123\/5 - 0) + (-12)\/(-30). Suppose 14 = -p + c. Suppose 16 = -p*y + 19*y. Solve -14 = y*h - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*a**3\/4 - 1645*a**2\/4 + 232*a - 33.\nAnswer: (a - 33)*(7*a - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h = -21*h + 196 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1741 - cb64?\nAnswer: -115a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 - ((-101 - -19 - -26) + -7)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25213320 and 6600?\nAnswer: 126066600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 145. Give t(52).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 52, 3671 in decreasing order.\nAnswer: 3671, 52, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10410 = 240*i - 863*i + 804 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2689. Let y(x) = -3*x. Calculate p(y(m)).\nAnswer: -9*m**2 - 2689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 888\/378 - 2\/(-9). Do 3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20761431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 833717640 divided by 3?\nAnswer: 277905880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**5\/60 + c**4\/12 - c**3\/6 - 4*c**2. Let b be t(1). Solve -b*k = 2*n + 16, 3*n + 0*n - 6 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2304202042 (base 5) to base 13\nAnswer: -10b2a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/33336 and -113\/72?\nAnswer: 33336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 39 = 20*x. Let a = -11 + x. Solve -3*v - 2 = -a*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 76. Let x be n(19). Suppose 16*l = x*l - 96. Is l greater than or equal to 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -8, -1\/5, 1\/7, -0.02, 10\/137?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*i - 3 = 0, -2*o + 4*i - 2*i = 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23 - (-6)\/2) + 1. Let i = x + 29. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/96*10\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128\/7 + -377\/21. Which is the nearest to l? (a) -4 (b) 0.2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, 69.\nAnswer: -2, 36, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4741, 18954, 42635, 75778, 118377?\nAnswer: 170426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from rwdbdbwbddwbb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-160)\/84)\/((-242)\/847).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-32)\/(26 - 18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h - 33. Calculate the remainder when 17 is divided by z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 + 664*c**3 - 12768*c**2 - 2541440*c + 108866048 = 0.\nAnswer: -62, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132060 and 35500.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - -262. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*g + 14, k + g - 40 = -43. Let m(d) = -d + 7. Let q be (3 - -2) + -2 + 2. Let l be m(q). Solve -l*h = -7 - k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 922875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/8 (b) 1\/5 (c) -5\/2 (d) 0.5 (e) 0 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 33*m**2 - 89*m - 10. What is y(3)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1013.85 and 2?\nAnswer: -2027.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpvppppdrrpd. What is prob of picking 1 p and 1 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*k**3 - 3 + 69*k**3 - 125*k**3 - k + 48*k**3 in the form p*k**2 + u*k**3 + r*k + z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -31*j - 15. Let v(a) = 2*a - 15404 + 15404. What is v(c(i))?\nAnswer: -62*i - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -233*y = -232*y + 1. Sort n, 28, -0.1, y.\nAnswer: y, -0.1, n, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3 + 2510248*z**2 + 37653298*z + 35143052 = 0.\nAnswer: -1255109, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16012804*w**3 - 20*w + 9*w**2 + 16012786*w**3 - 22*w to z*w**2 + g + f*w + t*w**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -76*q + 10. What is b(2)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.346 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqq when three letters picked without replacement from {l: 1, i: 2, o: 3, q: 3, m: 4, g: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - 249. Let x = c - 31. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 551 = 611. Let o be (-4)\/h*-17 + (10 - 11). Which is bigger: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 15*h - 1056. Suppose -h = -11*c + 3*c. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, z: 5}. Give prob of sequence znz.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1510, -5082, -11036, -19372, -30090?\n\"Answer: -1191*l**2 + l - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519484, 519491, 519502, 519517, 519536?\nAnswer: 519559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, -13, -62, -131, -214, -305, -398, -487?\n\"Answer: v**3 - 19*v**2 + 27*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12413024 (base 5) to base 14\nAnswer: 32adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6443.19 rounded to the nearest 100?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 4*y - g - 311, 4*y = -2*g - 314. What are the prime factors of 66\/y - 692\/(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(25\/5 + -4). Let g(j) be the second derivative of 0 - 8*j + j**2 + 1\/6*j**b. What is g(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 472 divided by -4\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:44 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581762994?\nAnswer: 2, 3, 9601, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11127 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.87 - 15.\nAnswer: -6.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 102743.8 to the nearest 100.\nAnswer: 102700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 less than or equal to 0.1047841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fennn. Give prob of picking 2 n, 1 e, and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**5 - 7*s**4 + 13*s**2 + 3*s wrt s.\nAnswer: -600*s**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/15552 and -131\/66528.\nAnswer: 1197504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 33*y**2 - 19*y - 55. Let j(f) = f**3 + f + 1. Let p(b) = h(b) - 5*j(b). Find t, given that p(t) = 0.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 18 = 2*v + l, -3*v + 80 = -2*l. Let z be 19\/v + 2\/(-8). Let i be (4 - 1)*2\/18. What is the nearest to i in z, -4, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12324053 (base 7) to base 12\nAnswer: -459642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z - 29*z + 18. Suppose z*s + 3*s = 12. Suppose d + 2*m - 2213 = 0, -5*d + m + s*m + 11000 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2*(-3)\/12. Let t be h\/70 + (-9)\/(-21). What is the nearest to 0.3 in 3, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68052302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -5*o - 26 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6292 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3416, -6816, -10200, -13568, -16920, -20256?\n\"Answer: 8*p**2 - 3424*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*h = 6*h - 5, 8 = 2*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*n + 14, -270*n + 272*n - 2 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 + 0*c**2 - 11*c**2.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q**2)*(3*q - 2 - 10*q + 0).\nAnswer: -14*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 - -137. Let j = -2 - 4. Let v be (-6)\/(-16)*(-2)\/j. Which is the third biggest value? (a) w (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2. Let q(j) be the first derivative of -43*j**3\/3 + 280. What is q(d(t))?\nAnswer: -387*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 825726 + -51?\nAnswer: 825665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 take away 1.83434149147?\nAnswer: -1.39434149147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 390*w**3 - 17919*w**2 - 340860*w - 2291628.\nAnswer: -3*(w + 19)**2*(w + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10234764 greater than 10234692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.96114 centuries to months.\nAnswer: 7153.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 672, 2786, 6308, 11238, 17576?\nAnswer: 25322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(288) + -2).\nAnswer: -8 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 971 divided by -355\nAnswer: -971\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 36 - (-6 - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3))\/(b\/(b**(-2\/19)\/b)) assuming b is positive.\nAnswer: b**(-82\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 36. Let s be 2\/(-3)*l\/4. Let m(c) = c**2 - s - 2*c**2 - 5*c + 0. Determine m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -13579.\nAnswer: -2\/13579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:01 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.78633983 rounded to 1 decimal place?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-1 + 0 - -2). Let a(j) = j + 7. Let o be a(n). Suppose -b - b = -3*g - 4, -3*g + b = 5. Sort g, -3, o in decreasing order.\nAnswer: o, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 521413?\nAnswer: 521342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7)*-1*-1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0319*-3\nAnswer: 0.0957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -0.2, 258, -0.1 in ascending order.\nAnswer: -27, -0.2, -0.1, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31648 is divided by 257.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 88 + 25 = 37*o. Let m(w) = -2*w + w**2 + 0*w**2 - w. Let l(b) = 3*b**2 - 7*b. Let q(u) = o*m(u) + 2*l(u). Solve q(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**10*z\/(z\/((z*z*z\/(z*z**(-10))*z*z)\/z))*z**(2\/9)*z**9*z assuming z is positive.\nAnswer: z**(308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.11 + 2.3. Let g = z - -0.01. Which is the closest to 0.1? (a) 0.1 (b) 2\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/109, 1, 0, -69, -5, 3 in descending order.\nAnswer: 3, 1, 0, -6\/109, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*u + 33. Suppose 2*r + 21 = u*d, -4*r = -5*d - 6*r + 35. What is the greatest common divisor of 266 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4736*m - 4734*m - 4729*m + 2*m**2 + 18936*m - 4737*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 15 - b**2 + 33 + (4 - 4 + 2)*(0*b**2 + 2*b**2 + 0*b**2) to the form x*b**2 + l*b + m and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7029111?\nAnswer: 3, 2343037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632921879 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-24) - (-1 - 20875\/40)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -226\/209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1335333407 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12777086 to the nearest integer?\nAnswer: 3575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5755 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 163*a**3 - 167*a**3.\nAnswer: -4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283113, 283116, 283121, 283128, 283137, 283148, 283161?\nAnswer: 283176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17997305 by 1411.\nAnswer: 12755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -331, -755, -1347, -2107?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*w - 43 = 0, w + 0*w = -5*y + 25. Suppose 2*i + y = -0*i. Suppose -4 = -16*n + 28. Sort n, 0, i in ascending order.\nAnswer: i, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-14)\/12)\/(31\/((-6944)\/616))).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114130477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4794 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4 - -2) + 8. Suppose 2*u + 3*s + k = 0, 2*s = -3*u + 3*s - 19. Let i(q) = -q**2 - q**3 - 3*q**2 - 3*q**2 + 8 - 6*q. Give i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194035629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-4)\/w))\/(w\/w**6)*((w\/w**(-1\/3)*w)\/w)**27 assuming w is positive.\nAnswer: w**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.195, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 - 4*g**2 + 3*g + 1. Let x be k(7). What is the nearest to 0 in 0.1, 0.4, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3 - 0. Suppose -3*v + 0*i - i + d = 0, -v - 3*i = 13. Suppose h = 2*h - v. What is the closest to 0.3 in h, 0.4, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874564373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54937749401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - j + j)*(-2 + 0 + 1) - 84*j + 60*j + 230*j + 2*j + 3*j + 2*j as g*j + k and give g.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(13) + -1*sqrt(637))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/((-812)\/(-28))*-27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*c - 15, 0 = -3*h - 147*c + 150*c + 27 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65359\/191710 + 13\/2018. Let q = j - 2\/5. Let o be (-2)\/1*-2*(-19)\/(-418). Which is the biggest value? (a) q (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-15))\/(6\/(-45)). Let d = 5410.5 + -5410. Let n(m) = -m**2 + 7*m + 9. Let p be n(8). What is the third biggest value in p, v, d, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f + 5, 4*a - 2*f - 18 = 0. Suppose 16 = i + b - 2, -a*i + 2*b = -90. What is the remainder when 62 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**5 - k**3 - k**2 + k. Let i(b) = -6*b**6 + 3*b**5 - 3*b**3 + 5*b**2 + 3*b. Let v(g) = -2*i(g) + 6*n(g). What is the third derivative of v(y) wrt y?\nAnswer: 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(176))**2 + -3 + sqrt(33)\/sqrt(3).\nAnswer: sqrt(11) + 4397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 122, -45, 3, -2, 4 in decreasing order.\nAnswer: 122, 9, 4, 3, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3404, -3351, -3312, -3293, -3300, -3339, -3416, -3537?\n\"Answer: -s**3 - s**2 + 63*s - 3465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, 4 in descending order.\nAnswer: 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*o + 119 - 84 + 391 = 0. Solve 2*t - 3*t - 31 = -5*g, -o*t = 4*g - 36 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3. Let b(v) = -v**3 + 15*v**2 - 10*v. Let p(i) = b(i) - 4*d(i). Factor p(o).\nAnswer: -5*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from mqmsmnmkn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1351 + 2705\/2. Let a(n) be the second derivative of 0*n**4 + 0*n**5 - 1\/3*n**6 - n + 0 - f*n**3 + 0*n**2. Find the second derivative of a(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1661950 to the nearest 1000.\nAnswer: -1662000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z + 2*h = -17, 0 = -3*z + h + 13. Solve 2*l - 9 = -5*s + 21, 3*s + z = 3*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2. Let p(i) = i + 1. Let r(c) = -c + 4. Let m(q) = -4*p(q) + r(q). What is m(n(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from fkfbkfbbffbfbkbff?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(95)\/(sqrt(5)*1) - sqrt(76)*-2 - (sqrt(95) - (sqrt(95) - (sqrt(95) - 1*sqrt(95))*2))\/sqrt(5))**2).\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 4. Let p(y) = 6*y**3 + 2*y. Let w(m) = 17*m**3 - m**2 + 7*m - 1. Let b(n) = -8*p(n) + 3*w(n). Is b(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 134\/7732649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -1.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-15)\/((-20)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13\/h*h**9*h)**(3\/25))**(2\/7) assuming h is positive.\nAnswer: h**(132\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, u: 1, e: 6, v: 6}. What is prob of picking 1 e and 3 g?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*r**2 + 199*o**3*r**2 - 6*o**2*r - 42*o*r**2 wrt o?\nAnswer: -48*o*r**2 + 1194*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71074.3 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))\/y*y**(-6))**(6\/5) assuming y is positive.\nAnswer: y**(-168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 4134.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose -x*o = -2 - 1. Suppose -4*g - 2*y = 3*g - 28, y - 13 = -3*g. Solve o = -c - g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 15*c**2 + 11*c - 3. Let l be f(15). List the prime factors of (72\/l)\/((-2)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 12*n**2 - 11*n + 2. Let t be s(-11). Let r(h) = -2*h**3 + 31*h**2 + 18*h - 22. Let b be r(16). Solve k + d = -1 - 6, k + t*d = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-1896 - 4\/1). Suppose -4*h + t = -2907. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 111226449649219 and 1?\nAnswer: 111226449649218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 1005593?\nAnswer: -10055ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1504288, 0.8, -2\/11 in decreasing order.\nAnswer: 0.8, 4\/7, -2\/11, -1504288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 4*j - 2*j + 3*j)*(6*j + 11*j + 14*j).\nAnswer: -93*j**3 - 93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 103013021321 (base 4) to base 2\nAnswer: 10011000111001001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53634 = -1597*y - 15037 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 10. Suppose a = c - 6. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 + 22*1\/(-2). Sort 4, -3, v, 7.\nAnswer: -3, v, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13545925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1390081d?\nAnswer: 13900818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 3*k + 3*k)*(11*k + 7*k - 29*k + 17*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 7*x**2 + 6*x - 12. Let b be o(-6). Let c = b + 30. Suppose 67 + c = 5*i. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475060, 3800511, 12826740, 30404137, 59383092, 102613995, 162947236?\nAnswer: 243233205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 163.33?\nAnswer: -489.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -202124342 (base 5) in base 2?\nAnswer: -11000111100101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 7*c + 123866. Let h(b) = -2*b. Calculate g(h(u)).\nAnswer: 4*u**2 - 14*u + 123866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 559014 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -12.96. Let c = -2.23 - -5.87. Let z = l + c. What is z rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-32)*(-24)\/(-108))\/((-143964)\/(-42656))\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -109, -320, -703, -1306, -2177, -3364, -4915?\n\"Answer: -8*t**3 - 14*t**2 + 11*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 67. Let z(q) = q**2 - 8*q - 15. Does 2 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w = -64*w + 148*w - 325. Calculate the remainder when 65 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagommmoxxommoammo. Give prob of picking 1 x, 1 m, and 1 g.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -74. Let w(i) = -34*i**2 - 8*i + 3. Let c be w(f). Let g = -136 - c. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 25*z + 19. What is the remainder when 65 is divided by y(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119*(-5092)\/5168 - 117\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1137*j - 10194. Calculate d(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(162)*1)**2 + 5 - (sqrt(162) + (sqrt(162) - (sqrt(162) - -1*sqrt(162))) + -1)*3).\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 297*z**2 - 16*z + 291. Is t(32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsggsgsgbbssgkkgsks. What is prob of picking 2 b?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 4*k - 1. Let t(f) = -f**2 - f + 1. Let m(h) = n(h) + 3*t(h). Let u be 5\/((-6)\/(72\/30)). What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*i - 3*u - 8, 5 = 2*i - 3*u. Find the common denominator of -47\/20 and i\/((-18)\/8 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/149 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**6 + 3*c**5\/5 - c**3\/3 + c**2 - 28. What is the third derivative of p(g) wrt g?\nAnswer: -720*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1680 - 838 - 822)*(0 - 4 + 0)*(2*u - u - 2*u)*(5*u - u - 2*u).\nAnswer: 160*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n + 3*x + 6*x - 166, -n + 0*x + 5 + 13 = x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from jjddd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19748*r**6 - 33*r**5 - r**2 - 777742*r?\nAnswer: -2369760*r**3 - 1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -803 - -802.999939. What is f rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(2202 - 2202 + 186*h).\nAnswer: 744*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 98 = -4*t + 2*t, -d + 107 = 2*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*l = -48, -3*l - 19 = 5*o + 14 + 16 + 23 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = -h + 219. Sort -0.3, -4\/7, 5, h in increasing order.\nAnswer: h, -4\/7, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let n be 9\/(18\/(-8)) + -11 - 5. Let a(u) = -10*u - 199. Let p be a(n). Solve -p = -x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40650000 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589 is divided by 2034.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1929190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 8107798*j\/9 - 8107780.\nAnswer: -2*(j + 9)*(j + 4053890)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (13\/(-26))\/((-4)\/824) and 100.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 59 = 3*d, -90 = -5*r + 7*d - 3*d. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:08 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 6)*(3*v - 2*v - 4*v)*(4*v**3 - 54*v + 54*v) to s + z*v + k*v**3 + c*v**4 + w*v**2 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -2. Suppose 5*a + u + 8 = x, 5*x = -5*a + 55. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14684*z**3 + z**2 - z - 93?\nAnswer: 88104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1638*j**4 - j**3 + 32762*j?\nAnswer: 19656*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15712 and 1221?\nAnswer: 191.84352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (-2 - (5 - 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 + 27*p**2 - 34*p - 343. Give m(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8683491983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 39, 96, 189, 324, 507, 744, 1041?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5961.94 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -4*r + 60720. What are the prime factors of r?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -632.29 - 7225307.9.\nAnswer: -7225940.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 250013421 (base 6) to base 11\nAnswer: 2762024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2724*z - 2718*z + 40 = -32 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512479, -512478, -512475, -512470, -512463, -512454?\nAnswer: -512443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9779, -9463, -9147, -8831?\nAnswer: -8515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h + 24. Let w be m(11). Round w to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1410 and 143\/630?\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 2\/5, 0.05, -2\/13, 283, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18) - 2*1\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*j + 36, j + 4*n - 71 = 4*j. Let b(u) be the first derivative of -7*u**2\/2 + 8*u - 3. Let q(a) = 20*a - 23. Determine j*b(r) - 6*q(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -15*m - 25. Let n(z) = -23*z - 38. Give -7*b(u) + 5*n(u).\nAnswer: -10*u - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -511\/18, 0.3, 175 in ascending order.\nAnswer: -511\/18, -3, 0.1, 0.3, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0367859 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100158 and 66772?\nAnswer: 200316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35255637*q**2 - 18*q + 319789.\nAnswer: -70511274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/761616 and -5\/89856.\nAnswer: 158416128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70090 divided by -86?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 - (66\/24)\/(-1). Sort z, 3, 1, -18.\nAnswer: -18, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/15)*s)\/s)\/s)\/(s*s**11*s))\/(s**(5\/4)*(s*s\/(s\/(s\/((s*((s\/(s\/s**(-10\/9))*s)\/s)\/s)\/s)))*s)\/s) assuming s is positive.\nAnswer: s**(-3497\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 101*i**3 - 111*i**2 - 11*i - 11. Let j(x) = 51*x**3 - 55*x**2 - 6*x - 6. Let b(q) = 11*j(q) - 6*y(q). Find the third derivative of b(m) wrt m.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -13 - (-179 - -139).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2665 (b) 4\/3 (c) -7\/16 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*x - 113*x**2 + 28*x**2 + 4 - 2*x**3 + 44*x**2 to n*x**3 + f*x**2 + s*x + j and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:31 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 882.1 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -948 + n + 950 + 4*n + 16*n**2 as o*n + p + h*n**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12487578 divided by -6\nAnswer: -2081263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54109, 118732, 183355?\nAnswer: 247978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w + 17. Let v be c(-4). Let g = 55 + v. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 89?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -1 + 21 + (1 - 16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -6\/11 (c) -2\/5 (d) -0.1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 416 or 365?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 825 and 105?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948810719 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2247567 (base 11) to base 9\nAnswer: 7355120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f*f*f**(-7)*(f*f**(1\/4))**(-5) assuming f is positive.\nAnswer: f**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 8*r**2 + r - 3. Let c be n(8). Let i(b) = 3*b**3 - 4*b**2 - 5*b - 6. Let m be i(c). Suppose 0 = -4*t + m + 744. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 693 - 5607. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124455377 to the power of 1\/3, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, -1 in ascending order.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, -3*t = 4*v - 5*t - 24. Let n = 131 + -135. Let h = -13\/6 - -17\/12. Which is the nearest to v? (a) 0 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/12203313?\nAnswer: -2\/12203313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-438)\/(-6)*52. Suppose -i = 6*t - 8*t. What are the prime factors of t?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 746*n - 2. Let g be s(1). Suppose -363 = -i - r, 2*i - 13*r = -9*r + g. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001111111 (base 2) to base 12.\nAnswer: -3b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 866 and 83015?\nAnswer: 71890990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216374 + 6678*m + 216372 - 2268*m)*(-3*m - m + 3*m)*(-1 + 0 + 3).\nAnswer: -8820*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 55?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1046595860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18*0.08\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v. Let n(g) be the first derivative of g**3\/6 - 2*g - 3. Let a(i) be the first derivative of n(i). Determine a(s(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3921\/5 - -784. Which is the second biggest value? (a) -34 (b) w (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 - 491. Let s(r) = -r**2 + 5*r + 2. Determine s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**5\/4 + 3182*w**4 + 25463*w**3\/2 + 6367*w**2 - 50925*w\/4 - 9549 = 0.\nAnswer: -3, -1, 1, 12732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 4, -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13621 (base 7) to base 5\nAnswer: -104424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/5 + 24\/40. Sort 0, -3, 4, o.\nAnswer: -3, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 84 + 672 = 0. Suppose f + 198 = 2*q. Calculate the greatest common factor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1. Let r(d) = -10. Let f(v) = 5*b(v) - r(v). Let o = -107853 + 107858. Let m = 0 + -1. Let y(u) = -u + 1. Calculate m*f(q) + o*y(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5)*(-4 + -1). Suppose 539*p - 553*p + 84 = 0. Factor -p*i**2 - 2*i**2 - 50*i - 23 - 102 + 3*i**j.\nAnswer: -5*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 455079908 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 - 2*u**2)*(-12*u**2 - 24 - 28 + 54).\nAnswer: 24*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -51132.\nAnswer: 11\/17044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -25*w**2 + 3*w + 1. Let t(l) = 49*l**2 - 5*l - 2. Let j(h) = 5*p(h) + 3*t(h). Let s(o) be the first derivative of o**2 + 135. What is s(j(i))?\nAnswer: 44*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (36\/14)\/((-17)\/(-119))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*m - 374 + 327 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g + 3*y - 3*y + 2*y - 713 + 143 = 186*g, -2*g - 52 = -4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15612 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10)*-4) - (-5*sqrt(152)\/sqrt(8))**2)*-5.\nAnswer: 5*sqrt(19)\/4 + 2375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 54*f - 366. Let y be k(8). Let v be (-32)\/(-10) + 0\/(-5). Factor v*x - 128\/5*x**y - 2\/15 + 1024\/15*x**3.\nAnswer: 2*(8*x - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*g**2 - 2496*g**2 - 3*g + 3*g.\nAnswer: -2220*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 + 30)) + 3 - -3 - (-2234 + 2240)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from drrrddrdddd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406, 815, 1290, 1867, 2582, 3471, 4570?\nAnswer: 5915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 4965*j**3 + 19849*j**2 + 24807*j + 9922.\nAnswer: (j + 1)**2*(j + 2)*(j + 4961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 9. Let o(b) = 4*b**2 + 17. Calculate -11*f(p) + 6*o(p).\nAnswer: 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.066? (a) -3 (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4 - 2 + 7*k - 8*k. Let u(r) = 2 - 9 + 6. Determine -2*f(x) - 4*u(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -42, -80, -130?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 54999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-8)\/((-40)\/(-195)). What is the greatest common divisor of u and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 25*l**2 - 8*l. Let s(y) be the second derivative of 17*y**4\/12 - 5*y**3\/6 - y - 51. Calculate -8*s(g) + 5*w(g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -38, -4, 6, -2 in increasing order.\nAnswer: -38, -7, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/36*((-2)\/56)\/(-38*(-1)\/456)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let y = 25 - 28. Which is the third biggest value? (a) y (b) 0.5 (c) u (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8846204 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rllyrpyrr. Give prob of sequence ypyl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 923?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -226. Let u = f - -144. Solve -u = -4*s + 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 250*l**2 - 20*l + 334. What is the units digit of y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455919 to the power of 1\/2, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123323 (base 4) to base 10.\nAnswer: -1787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from baaaaabbaaaabababa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*n)*(-369 + 104 - 176)*(-2 - 3 + 3).\nAnswer: -4410*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39854121 times 31?\nAnswer: -1235477751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/15 (b) 0.05 (c) 5\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 595 = -22*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + sqrt(931) - sqrt(931))*3 + -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 3, p: 2}. Give prob of picking 2 d and 2 t.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/310 - (-14)\/(-35). Let o = m - 19\/93. Is o != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25494, -25439, -25386, -25335, -25286, -25239, -25194?\nAnswer: -25151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 - -113. Solve -c*g + 4*g**3 - 18*g**5 + 8*g**2 - 24*g**4 - 9*g + 10*g = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3116, 4103, 5088, 6071, 7052, 8031, 9008?\n\"Answer: -b**2 + 990*b + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 448, -9, -2 in descending order.\nAnswer: 448, -2, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 17. Let g be f(-9). Suppose 2*v - 9 = w, -w = 2*v + g - 9. Suppose 4*j + 4*b = 12, -4*j - v*b - 2 = -6*j. Solve 0 = k - j + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/(115\/(-66)) - -14. Let -8\/5*t**3 + u*t - 8\/5 + 16\/5*t**2 - 8\/5*t**4 + 4\/5*t**5 = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 718, 656, 594?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) -1\/4 (c) -1\/7 (d) -3\/10 (e) -0.052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6604045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.399665 centuries?\nAnswer: 0.2399665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45ca6a (base 13) to base 16.\nAnswer: 194537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7)\/t*t)\/t*((t*t\/((t*t*t**(1\/8)*t)\/t*t))\/t)\/t*t\/(t**(-1)*t)*t\/(t**(4\/5)*t))**(-11\/2) assuming t is positive.\nAnswer: t**(9889\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -39 (b) 9 (c) -2.84 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Solve 0*u = s*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/29489 + 11736617\/147445. Let j = 80 - s. Let d = -0.9 - -0.6. Which is the closest to j? (a) 4 (b) d (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7396 is divided by 78.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.95 + 0.05. Let x = y - 7. Let q = -549 + 550. What is the second biggest value in x, q, -2\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -40*z - 480. Let q be n(-12). Sort -2, 4, -95, q in decreasing order.\nAnswer: 4, q, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2070115 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.527*0.76533\nAnswer: -1.93398891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110000000111100 (base 2) in base 10?\nAnswer: -450620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70525296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -6, 19 in decreasing order.\nAnswer: 19, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*f**2 - 14*f**2 - 737077 + 737086 - 2*f in the form k*f**2 + u*f + a and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -1\/24*u**4 + u + 0 + 0*u**3 - 8*u**2. Let l(v) = 151*v. Calculate s(l(g)).\nAnswer: -151*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(931) + 1)*-2)**2.\nAnswer: 56*sqrt(19) + 3732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 10*j + 14 = -11*j, -2*g = 4*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 6*l = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**2\/9 - 50*d\/9 - 12 = 0?\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 708\nAnswer: -3540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-2)*(-20)\/(-25). Let t be -6 + -7 + 5 + h*1. Let f(x) be the first derivative of -x**2 + 5*x + 4. Let o(y) = y - 1. Determine t*o(q) - f(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqwqwqwqw. Give prob of picking 1 q and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 + 5*k + 5. Let m be c(5). What is the third derivative of 4*u**m - 2*u**2 - u**5 + 5*u**2 - u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4134 and -35\/1749.\nAnswer: 45474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 2*z. Let c(a) = -5*a**3 + 5*a**2 + a - 6. Let k(d) = 6*d**3 - 6*d**2 - d + 7. Let l(t) = 7*c(t) + 6*k(t). Let w(h) = l(h) + y(h). Factor w(b).\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0)**39)**29)**(-34) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2072 - 0.3072. What is the closest to 2 in h, 209\/7, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, e: 4, y: 3, x: 1}. Give prob of picking 1 e, 1 x, and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 16*q + 14. Let x(t) = 11*t + 9. What is 5*f(g) - 8*x(g)?\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 1. Let w be y(-1). Suppose 0 = -w*g + 2*g + 5. Let s(t) = -29*t**2 + 1307*t - 91. Let m be s(45). Put g, -3, 4, m in decreasing order.\nAnswer: g, 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.462 - -366.262. Let h = -362 + m. Which is the third biggest value? (a) 1 (b) 2 (c) h (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**1*b*b)\/b)**(-34)\/(b**(-2\/5))**22*(b**(2\/15)\/((b**0*b*b)\/b*b))**(9\/2) assuming b is positive.\nAnswer: b**(-678\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7956*j - 7951*j = p + 12, 4*p + 18 = 5*j. Let u = -17454133163\/3168 - -5509511. Let w = u + 1\/288. Is w less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/42)\/2*(-2268)\/81?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2 + 2133*n + 1135442 = 0.\nAnswer: -1111, -1022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481795366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12.1. Which is the nearest to r? (a) 2 (b) 19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657 divided by -69?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071623499?\nAnswer: 3, 467, 764899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2057946 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 25. Find the third derivative of 0*f**3 + f**3 + 11*f**2 - n*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7930271 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((54390\/(-3612))\/5)\/(0 + (-1)\/2). Which is bigger: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 54*d - 20 = 52*d, 4*x = d + 20 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**7\/168 + f**6\/24 + 3*f**5\/80 - 5*f**4\/48 - f**3\/6 - f + 1. Suppose q(d) = 0. What is d?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1477 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckhkllvlllk. Give prob of picking 1 l and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 1. Let g be p(1). Suppose 18*m - 57*m + 78 = 0. Suppose -18 = -5*v - g*o + 32, -22 = -5*v + m*o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-1*1*sqrt(891))**2*-3.\nAnswer: -2674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235221 is divided by 7379?\nAnswer: 6472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**3 - w**4 + 1\/5*w**5 - 2*w**2 + w + 23. Factor r(c).\nAnswer: (c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52256048 divided by 3266003?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - t + 2. Let b be z(-5). Let m = 64 - b. Suppose 192 = r + m*r. What is the highest common divisor of r and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8061*k. Let j(x) = 2*x - 28. What is j(q(o))?\nAnswer: 16122*o - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.03. Let v = -25.92 - -25.62. Which is the closest to s? (a) v (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(7) - (-3 + sqrt(7))*4) + 5*(sqrt(77)\/(sqrt(11)*-1) + -3))**2.\nAnswer: 128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - 10*r + 12*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 229168399 by -2.\nAnswer: -229168399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8061544.\nAnswer: 2, 1007693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492000 times -0.8?\nAnswer: -1193600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 27 - 0 - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 + 2 + 11\/22. Let o(m) be the first derivative of -m**2 + m - 1. Let z(q) = q**2 + 5*q - 2. Determine c*o(x) + 2*z(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22608, 22468, 22328, 22188?\n\"Answer: -140*d + 22748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1872) + 1)**2 + sqrt(1872) - (-2 + sqrt(1872) - sqrt(1872))*-2) + 4.\nAnswer: 36*sqrt(13) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1853010 and 38610?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*k + 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -i + 2*g, 0 = -2*i + 2*g. What is the common denominator of 1 - (i + (-177)\/6) and (58\/150)\/((-1456)\/(-1872)*4\/(-14))?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 266 = 5*k, 5*k - 3*v + 4*v - 262 = 0. Let q(y) = k*y - 23*y - 27*y. Let i(u) = 8*u. Calculate i(q(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50\/13, 228, -0.4, 1\/4, 0, -17.\nAnswer: -17, -0.4, 0, 1\/4, 50\/13, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 22 = -5*b, 5*p + 12 = 2*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 622462\nAnswer: -1\/622462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757621665 to the nearest integer?\nAnswer: 27525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074665181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + 11*a + 86. Let d(v) = -v**2 - 2*v - 17. Let o = -13821 - -13819. What is o*j(s) - 11*d(s)?\nAnswer: s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9307 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14726951, -29453903, -44180855?\nAnswer: -58907807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*z = 18, -2*z - 7 = -2*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + n + 25 = 7*d, -2*d - 5*n - 17 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 5. Determine j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - x**4 + x**4 + (-1 + 2*x**2 + 1)*(x**2 + 2*x**2 - 2*x**2) + (-2*x**3 + 2*x**3 - x**3)*(-8*x + 12 - 12).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23526*x**2\/5 - 4706*x + 4\/5 = 0 for x.\nAnswer: 2\/11763, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.356 - -0.656. Sort 0, 0.1, f, 8.\nAnswer: 0, 0.1, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 39 = 3*g, -g - 30 + 9 = 4*s. Let q = 4 + s. Let o be (-103992)\/20 - q\/(-5). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from uui?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 472\/21985 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s)**(-8\/19)\/((s*s\/((s**(-1\/8)*s)\/s*s)*s*s)\/s)**(-2\/13) assuming s is positive.\nAnswer: s**(739\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.67659 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/310 and -151\/145824.\nAnswer: 729120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - 22\/152. Which is the smallest value? (a) l (b) 4\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-7)*v*v**27*v**(1\/40)\/((v*v\/(v\/v**(-25)))\/v) assuming v is positive.\nAnswer: v**(1881\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 93*f**2 + 20*f**2.\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*t + 184*t + 17*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -0.4, 0.31, -789, -4.\nAnswer: -789, -4, -0.4, -0.2, 0.31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a - 41*a - 417. Let h = -125 - a. Let w(o) = o**3 + o**2 - 3*o - 1. Calculate the remainder when w(3) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5546 = 303*g + 2656 - 324 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**0)\/l)**(-27)\/(l**(-4)\/(((l**(-8\/5)\/l)\/l)\/l)))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 1)*(-3*i - 3*i + 3*i) + 3*i + 3*i - 3*i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*l - 8, 5*l - 3*u + 0 = 32. Suppose 0*n - 2*n - 2*w = -416, -5*w = -l*n + 859. What are the prime factors of n?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.08 + -0.08. Let g = 0.279 - 0.679. Let p = 30 + -59\/2. What is the nearest to p in g, s, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*u - p - 10, 3*p = u - 3. Let w(i) = i**2 - 3*i - 10. What are the prime factors of w(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -13*l + 12. Let s(n) = -9*n + 8. Let w(d) = -5*m(d) + 8*s(d). Let k be w(-1). Let h be 8\/(-14)*k\/22. Put 2\/3, h, 4\/7 in increasing order.\nAnswer: h, 4\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6753372 or 6753373?\nAnswer: 6753372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2\/(-2)) + -6. List the prime factors of 1 + (-6 - m) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-10) - (-1)\/2*0. What is the remainder when 3110\/25 + 9\/u is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*x + f**3 + 4*f**2*x + f*x - 2*f - 36*x wrt f.\nAnswer: 6*f*x + 6*f + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6815 and -58158?\nAnswer: 396346770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1845 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, k: 3}. Give prob of sequence eyk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 107*g - 55. Give o(54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9310.016t to nanograms.\nAnswer: 9310016000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 12:00 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288) + -1)*5)**2 - (-1 + sqrt(288)*1 + sqrt(288) - (sqrt(288) - (sqrt(288)*2 + 4)))**2.\nAnswer: -5616*sqrt(2) + 62424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 742705 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2227 + 171162358456.\nAnswer: 171162360683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.088 - 1.088. Let q = 0 + 0.062. What is the closest to 1 in q, 0, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*a - 36 = -97*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157.8 + -14.2. Let s = 41093465.22 + -41093293.2199767. Let u = f + s. What is u rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*d + 0*d = -10, 0 = -3*j + 5*d - 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**3 - 17*t**3 - 29*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*i + 3. Let v = -7 - -10. Let l = -0.5 - -0.3. Sort l, i, v in descending order.\nAnswer: v, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a, -5*x = -2*x + 3*a - 12. Let g = x + 1. Suppose 8 = g*z - 80. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j - 10. Suppose 0 = p + t - 3, -p - 5*t + 2*t = -j. Suppose 0 = 3*q - 4*c - 3, 0 = 2*q + 3*c - p. Solve 0 = -5*a - 6 + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 14. Put -2, 0, o in decreasing order.\nAnswer: 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -30497.65103.\nAnswer: -30501.65103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -79786*s + 286. Let d be l(1). What is d rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 2620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 5 = 30*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4304009 greater than -4304007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 5. Let n = -1 - y. Let z(x) = x**2 + 3*x + 1. List the prime factors of z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x. Let z(v) = -5*v. Let d(s) = 4*g(s) + 3*z(s). Suppose 3*p = -p + 4*b - 24, p - 3*b = -12. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 36630*r**3 - 1654167*r**2 - 3161790*r = 0.\nAnswer: -43, -2, 0, 12255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -485, -961, -1415, -1835, -2209, -2525, -2771, -2935?\n\"Answer: 2*p**3 - p**2 - 487*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*q**2 - q*u**3 + 448*u**3 wrt q?\nAnswer: -228*q - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000107008 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -3 + 5 + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88028, 176044, 264060, 352076, 440092?\n\"Answer: 88016*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/326 and -55\/1467?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*s**2 + 50*s**3 + 6682*s - 6682*s + 592*s**2.\nAnswer: 50*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 122 + (12\/15 - (-16)\/(-20)). Let v = f + -251. What is the units digit of (-2)\/11 - v*40\/66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {r: 6, g: 1, u: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 15*o - 25 + (-2 - o + 2)*(2 - 1 + 0)*(4 - 4 - 1) as j*o + u and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/30 and -151\/3498.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 220.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2030, -8391, -18992, -33833, -52914?\nAnswer: -76235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6450)\/(-9030)*(-1281)\/15.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 2*z - 2. Let y be f(-1). Suppose 5*l + y*v = v - 163, -v - 126 = 4*l. Let k = l + 85. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 2. Suppose -7 = 3*i - 5*m, 0*m + 3*m - 45 = -5*i. Calculate the greatest common divisor of i and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5954.91 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x + 3*x**5 + 2*x**2 + 44*x**3 + 4*x**2 - 44*x**3 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125726?\nAnswer: 2, 37, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 32, 72, 128, 200?\n\"Answer: 8*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(42\/(-7))\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*i + 184, 5*z + 602 = -5*i - 288. Let v be ((-786)\/4)\/((-6)\/(-8)). Let s = z - v. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*w + 112*w = -77. Sort -6, -5, w in ascending order.\nAnswer: -6, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341 at least as big as -1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -235*l - 55. What is the hundreds digit of s(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 19 - 46. Suppose -11*d = -w*d + 10. Let t = -0.1 + 0.2. Put t, d, 4 in descending order.\nAnswer: 4, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(-3 + (-11)\/(-4)). Let p be (g\/(-30))\/(2\/(-15)). Sort -4, p, -0.3 in increasing order.\nAnswer: -4, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 4*g - 10. Let c be u(-8). Let w = -8 + c. What is the remainder when 25 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-2)\/(-5) + 4048\/(-20)). Let h = -201 + v. Let t be ((-4)\/(-5))\/(2\/5). Solve -h*x + 7 = -3*j - 6, -t*j - 7 = -x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -270*r**2 + 565*r**2 + 154 + 23 - 275*r**2 - 52 + 125*r.\nAnswer: 5*(r + 5)*(4*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -661e?\nAnswer: 661c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 13*f - 43. Calculate x(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/(6\/45). Suppose 0 = -3*n + 8*n. Suppose n = -2*y + 31 + 53. Calculate the greatest common factor of y and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 537.052?\nAnswer: -9129.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -0.11, 0 in decreasing order.\nAnswer: 43, 0, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4)*1*22560\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 - 0?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080503833 rounded to five decimal places?\nAnswer: -0.0805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -447556*m**3 + 953157*m wrt m.\nAnswer: -2685336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 148*m**2 - 10*m - 23. Let p be u(-4). Suppose 10*l - p = 2965. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = -3*y + 4*h, 0 = -2*y - 2*h - 33 - 121. Let f = y - -84. Put 6, f, 1 in ascending order.\nAnswer: 1, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 24*i - 21*i. Let c be ((-10)\/(-3))\/(2\/6). Calculate the greatest common divisor of i and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -20. Suppose -q + 3*q - 3*t = -1599991, -2*q - 5*t - 1600015 = u. What is q rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399601780 - 0.1465?\nAnswer: -399601780.1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 31*a = -24. Suppose 3*g + 3*r = a*g - 48, 26 = 2*g + r. Solve 5*l - 5*w + 6 = -g, -2*w = 4*l - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - -1*sqrt(4598))\/((2*sqrt(24))\/sqrt(12) + sqrt(2)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (8 - 1) - (-2 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 15680*i**2 - 794000*i.\nAnswer: 4*i*(i - 3970)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1. Let d(i) = -2*i**2 - 2. Let v(t) = -d(t) - 2*f(t). Let h = -14 + 13. Let r(g) = g. Let k(j) = 10*j. Let m(z) = h*k(z) + 4*r(z). Give m(v(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257 + 257. Solve -4*d + 4*t = 8, h = 2*d + 3*d + 4*t - 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -6. Is (-14348)\/102*j\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 4*h**3\/3 - 1174*h**2 - 2352*h - 1843. Factor o(z).\nAnswer: 4*(z - 588)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5228 = -3*r, 0 = -19*r + 23*r + 4*k - 6992. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 4*u + 2. Suppose 5*o = -18 - 2. Calculate the remainder when w(4) is divided by 345\/20 - (-1)\/o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/208)\/((-117)\/24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2977955, -2977957, -2977959, -2977961?\nAnswer: -2977963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2 - -6. Let n = 5 - 11\/2. Which is the closest to f? (a) n (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110)\/(-4)*((-8)\/(-10) + 0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r - 29*r = 76*r + 2755 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4221 and 25862?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5 + (-13)\/(130\/(-4)). Solve 0 = t - 2*d - v, 0*d + 13 = 4*t + d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971266 a multiple of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 3*g - 95. Let q = 120 - g. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.094 in -0.8, 10, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555982.\nAnswer: 2, 7, 151, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -3, 0.07, 11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100000010110110101 (base 2) to base 9\nAnswer: -221718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(21 - 43 + 12)*(-3*j + j + 0*j).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 6. Let f be z(0). Let w(g) = -g + 35. List the prime factors of w(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 163*q**5\/10 - 21*q**2 - 36. Let d(x) = -x. Determine t(d(b)).\nAnswer: 978*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 18181188?\nAnswer: 109087128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*p - 12325 = 101*p - 85*p for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 6. Is 26 a factor of 12*13*1\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171965?\nAnswer: 5, 163, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 5. Let i be r(-9). Let a be (2\/25)\/(i\/20). Let z = 2.9 - -0.1. What is the second smallest value in 0.1, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23444 + 23448. Solve 0 = -7*t - 0*t + p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71688163 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*w = 2*w - 118, -43 = -o - 3*w. Let x = o - 54. Let v(f) = 10 + 0*f + 1 - 7 - 5 - 8*f. What is v(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b17 (base 15) in base 3?\nAnswer: -2200212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3*(-3)\/(-6))\/3. What is the smallest value in h, 3\/2, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*t - 3. Suppose -w - t*w + 8 = -x, -12 = -3*x. Let b be (0 + (0 - -1))*w. Solve -b*a - 20 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 29 - 9*r**3 + 233*r - 217*r.\nAnswer: -9*r**3 + 16*r + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195157263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 0.0506, -141.\nAnswer: -141, 0.0506, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t - 23. Let c be n(-1). Solve c = -210*p + 199*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x - 4*w - 37, 4*x + 3*w - 110 = 0. Let r = x - 29. Solve 4*g - 11 = 2*g - 3*f, r = 2*g - 2*f + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u - 8. Let k(a) = a - 2. Determine k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 257*n**3 + n + 249*n**3 + n**4 as r*n**2 + w*n**3 + d*n**4 + m*n + z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 15*s + 4. Let n be i(16). Suppose -26*c + 22*c = n. What is the fourth biggest value in 0.4, -1, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355437716 divided by -6706372\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 1 (c) 3170.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.4, 1, 984?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/384 + (-25)\/6 + 15 + -1. Solve 7*u + g = 38 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + 0*m**5 - 3*m**5 - 2*m**5 - 7*m**5 - m**5 + (0*m**3 - 3*m**3 + 2*m**3)*(2*m**2 - 2*m**2 + m**2) - 2 - 2*m**5 + 2.\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76505185 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: Let h(y) = -13*y. Let m be -7 - ((-80)\/2)\/4. Let a(x) be the third derivative of 0 - x**2 + 0*x**m + 1\/12*x**4 + 0*x. Calculate h(a(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2978.74 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Suppose -u*z - 40 = 124. What is the remainder when -2 + (4 + -1 - z) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let v be x(-3). Let w be (-9 - v)*(-3)\/(-5). Let j be 3 + 3 + (w - 3). Solve -t = 5*f - 26, 5*f = -j*t - 4*t + 29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 459*l**2 - l + 29. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1295*o. Let n(m) = -3*m. Calculate i(n(y)).\nAnswer: -3885*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**7\/21 + 4*t**3\/3 + 6*t - 10. Let y(m) be the first derivative of n(m). What is the second derivative of y(l) wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6759, 6758, 6755, 6750, 6743?\nAnswer: 6734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 4*p**3 - 5*p**2\/2 - 3*p + 7. Let k be q(-3). What are the prime factors of k*((-16)\/10 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 + 66240\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -3*d**3\/2 + 91*d**2\/2 + 4*d - 8. Suppose -40 = -0*n - 5*n. What is the least common multiple of h(9) and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036460880 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -292 divided by 4\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:37 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15 - 17) + 4\/((-4)\/(-2)). Let k(s) = -s - 3 + 9 + m + 1. Give k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*x + 3*r - 9 = 0, -5*x = -4*r + 15. Suppose -2*t + 12 = 4. Let s = t + x. Which is the third biggest value? (a) 3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkkvkrryrkyrvrkkrrr. What is prob of picking 1 r and 2 k?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1\/((-4)\/52). Let t = 68 - z. Suppose 0 = -m + 3*c - 7, -4*m - 2*c + 25 = -3. Solve g + m*f - 27 = 0, -2*g + 0*f = 5*f - t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256240963 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 30581.\nAnswer: -30581.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151526910 to the nearest integer?\nAnswer: 12310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 138*r**2 + 949*r - 3971. Give p(131).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6916037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -363127.1 + 156104\nAnswer: -207023.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/2435 (b) 0.4 (c) -1 (d) 2.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/v**(-19))\/v))\/((v**(-26)\/v)\/v*v))\/(v**(1\/7)\/(v\/(v\/((v*v**(3\/2)*v)\/v)))) assuming v is positive.\nAnswer: v**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3. Suppose 0 = 7*s - 3*s. Let w be y(s). Suppose -w*d = 8 - 23. Solve d + 0 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -128, -130, -134, -140, -148, -158?\n\"Answer: -k**2 + k - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.7221um in millimeters?\nAnswer: 0.0797221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-21 + 17 + 5). Find a such that z - 6\/11*a + 1\/11*a**3 + 1\/11*a**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 513 = -69. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3532*i**2 + 2238?\nAnswer: 7064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k. Let c(f) = -785*f**2 - 38*f - 21. What is c(m(t))?\nAnswer: -78500*t**2 - 380*t - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -14*c - 560. Let n be k(-40). Determine w so that -8\/11*w**2 + 0 + 6\/11*w**4 + n*w**3 - 2\/11*w**5 + 0*w = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/p)\/p**21)\/(p**(-7)*p)**50 assuming p is positive.\nAnswer: p**(1115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/637285671 and -65\/173805183?\nAnswer: 1911857013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/7 + 1545*o**2\/7 + o\/7 - 1545\/7.\nAnswer: -(o - 1545)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 46*t**2 + 207*t + 5233. Calculate s(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:16 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86\/(5 - 12 - -8) is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 898, 1798, 2682, 3538, 4354, 5118?\n\"Answer: -2*q**3 + 4*q**2 + 902*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k - 42*k = 41*k - 78. Determine j so that 20\/3*j - 9\/2*j**k - 2 + 5\/6*j**3 = 0.\nAnswer: 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 287.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106236620 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 18*x**3 - 3*x**2 + 7610*x.\nAnswer: -12*x**2 + 108*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = -3*l, 2*u - 5 = -4*l - l. Let r = -3324 + 3345. Which is the smallest value? (a) -0.1 (b) -1\/6 (c) r (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48777 by 3.\nAnswer: -16259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11936079 divided by 2\nAnswer: 11936079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403780857 is divided by 9392?\nAnswer: 9385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226077805 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x - 2295 = 5*n, 4*x = -n - 4545. Let s = -189 - x. What is the remainder when s is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076726043*o**2 + 17*o**3 - 2076726043*o**2 + 2*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 29. Suppose -c*j - 5*n = 99, j - 106 = 3*j - 2*n. Let z = j + 100. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68*((-92)\/(-16) + -6). Let y(q) = -2*q + 63. Calculate the remainder when y(v) is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -138*b + 1256. Let a be q(16). Which is smaller: a or -957?\nAnswer: -957","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -18 - 1\/10*w**2 - 63\/10*w = 0.\nAnswer: -60, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oypmpkymyopv. Give prob of picking 2 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1406 and 318056.69666.\nAnswer: 316650.69666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 + (-34)\/(-10). Let g(y) be the first derivative of -y**2 + 2*y - 2\/3*y**3 - h. Calculate g(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-870)\/4060)\/((-33)\/(-88)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*d = -78*d + 99 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 418, 436, 458, 484?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 340.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*j + 276 = 0, -2*m - j + 342 = 3*m. What is the greatest common factor of m and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-47)\/((t\/(t\/(t*t*t\/(t*t**(2\/9))*t)))\/(t**(2\/25)\/t)) assuming t is positive.\nAnswer: t**(2693\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24789 is divided by 12199.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 412970044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7*j - 4 = -6, 26 = -a + 4*j for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -14641*p**4\/6 + 1655159*p**3\/6 - 1721839*p**2\/6 + 27443*p\/2 - 168 = 0?\nAnswer: 3\/121, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-20 - -35) - 36 - 26?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16115*f + 32406*f + 5 - 16173*f to m*f + p and give m.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -49, -175, -425, -841, -1465, -2339, -3505?\n\"Answer: -7*g**3 + g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*a, -316*q + 3*a - 3 + 13 = -318*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 457*b**2. Let c(u) = -5*u - 3319. Calculate c(z(r)).\nAnswer: -2285*r**2 - 3319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 46218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121396 and 1100?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103032 (base 4) to base 16.\nAnswer: 4ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*h + 20*h - 108 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-854)\/(-480) + 107404\/(-73230)\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4 - (-24)\/6. Suppose -2*t = -4*g - 0 + 2, s = -5*t - 5*g + 25. Suppose -t*k + 8*k = -2*r + 85, 55 = 5*k - 4*r. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181999477\/4949 + -36775. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(20 - 0) - 1\/(-5). Factor -1\/5*z**2 + l - 1\/5*z.\nAnswer: -z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 4 - (0 + -2). Suppose t = -u - 3*u + 16. Let i = 5 + 3. Solve -i - u = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j**2 - 19*j + 82. Let q be w(9). Which is the third biggest value? (a) q (b) -1 (c) 2\/11 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42356186 * 0.2.\nAnswer: -8471237.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1326 - -1434. Let r be 62\/(-837) + 89\/v. Let n = -0.4 + -0.1. Which is the smallest value? (a) n (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(84)\/sqrt(1200) - sqrt(7))**2*5.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 4)*(2 - 1 + 1)*(-49 + 49 - 5*s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 3*v - 3. Calculate u(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*c**2 + 5*c + 59*c - 6*c - 1.\nAnswer: 81*c**2 + 58*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6, -1\/13159, 0.05.\nAnswer: -0.1, -1\/13159, 0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*a + 40, 5*d - a - 20 = 0. Suppose 0 = 18*t - 13*t + 2*u - 41, 0 = 2*t + d*u - 23. What is the remainder when 172 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**0*j)\/j)**40)**27)**(-15\/8) assuming j is positive.\nAnswer: j**(-2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 187.92199\nAnswer: 263.090786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 884 and 164309.\nAnswer: 145249156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4767753150.\nAnswer: 2, 3, 5, 1177223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -39, -266, -781, -1698, -3131?\nAnswer: -5194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 518*z**2 + 51*z**2 - 322*z**2 + 148*z**2 + 555*z**2 to l*z**2 + i*z + y and give l.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/416)\/((4089\/752)\/29)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216)*2)**2*4 - (sqrt(1216)*-2 + 5)**2)*3 + -2)*6.\nAnswer: 2880*sqrt(19) + 262194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*g**4 + 1 - 230*g**2 + 230*g**2 - 2*g + 2*g**3 to s + j*g + d*g**3 + p*g**4 + c*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4728.9224 - 4729. What is the nearest to -4 in -3, -0.2, x, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-5*6\/(-18). Let q be (1 - 1*6)\/(-1). Suppose q*h = -2 + 12. Solve -f*a - 7*n + 3 = -3*n, -4*a = n + h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76177 divided by 1\nAnswer: 76177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1008300 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + 7*a**4\/8 + 19*a**3\/2 + 16*a**2. Calculate the lowest common multiple of 9 and p(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q\/(q*q\/(q*q\/(q**2*q))*q)*q*q)*q)*q**(3\/2)*q*q**36*q**21 assuming q is positive.\nAnswer: q**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - y + 30 = 0. Let s(v) be the first derivative of -1\/4*v**4 + 4*v - 1\/2*v**2 + 5\/3*v**3 + 2. Give s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 - 2*b + 1. Let u(x) = -x**2. Let r = -26 + 21. Let h(c) = r*u(c) + o(c). Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21102 - -233?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -17, 0, -1 in decreasing order.\nAnswer: 0, -1, -17, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 12) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271 - 253. Calculate the greatest common divisor of f and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6670270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.104 + -5.104. What is the closest to 4 in z, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*r + 2*v - 15, -4*r - 1 = -3*v. Let x(i) = -1 - i**r - 7*i - 1 + 0*i**2 - 6. Let d be x(-4). Solve n = 5*m, 5*m - d = m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/26, 4, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 76205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 487, 486, 485, 484, 483?\n\"Answer: -w + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**3 - 14*b**3 - 3*b**3)*(2 - 4 + 0)*(18 + 5 - 5) to q*b + t*b**3 + m*b**2 + s and give t.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*j**4*w**2 + 3*j**4 - 2*j**3*w**2 - 2*j**2 - 68*j*w - w**2 wrt j.\nAnswer: 912*j*w**2 + 72*j - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 8. Let n be ((-2 + (0 - -2))\/h)\/2. Suppose n = s - 6*s + 230. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 8 - 33)*(-2*k - 7 + 7).\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-10)\/((-160)\/(-12)). Let w(x) be the first derivative of k*x**2 + 5 + 1\/6*x**3 + 0*x. Factor w(u).\nAnswer: u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2952234 and 55\/84.\nAnswer: 41331276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1489808 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1689468 by -844734.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**4 + 0*d**5 + 4\/5*d**6 + 10*d - 13\/6*d**3 + 0*d**2 + 0. What is the second derivative of y(m) wrt m?\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 - 33\/(-44)*4. Let o(b) = 6*b**2 - b + 1. Give o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673563799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**7\/210 + m**6\/40 - 103*m**2\/2 + 94. Let c(p) be the second derivative of g(p). Factor c(z).\nAnswer: z**3*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*x - 39, 4*f + 5*x - 29 = 0. Let t(o) = -5*o + 4. Let i(n) = -n. What is f*i(c) - t(c)?\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (7 - (2 + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 + 11*a - 9. Let d be h(4). Solve -4*r - d*k + 8 = 0, -k = -0*r + r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - g + 4 + 12. What is the units digit of i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 2888655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/2 - 7*t**2\/2 - 40*t. Let f be i(-4). Solve -f = 3*y - 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -12*f - 285. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -82. Suppose 20 = -5*q + j. Let x = 49 - 19. Solve -b = q*f - 25, b + 5*f - x = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m**2 - m - 1. Let r(g) = -5*g**3 + 10*g**2 - 11*g - 7. Let d(q) = -6*b(q) + r(q). Determine d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-8) - 2\/8. Suppose 5*s + 1 = p + 13, 0 = -4*s - p + 6. What is b in -b**3 + 0*b**2 - 2*b**s + 3*b + b**2 + b + z = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, -4, 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3780164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, h: 9}. What is prob of sequence hx?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/15 - 14*r\/15 + 16\/15 = 0?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 49*n**2 + 588*n + 101. Give m(59).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*1*12\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2195*s + 151*s**2 - 1102*s - 1 - 1099*s as v*s**2 + m*s + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, a: 2, v: 2, h: 1, q: 1}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 + 0*u + 4*u - u. Let d(j) be the first derivative of j - 1. Let v(c) = 3*d(c) - h(c). Let m(o) = o**2. Determine m(v(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -930? (a) -4\/7 (b) 4\/11 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 5:36 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93552, -180864, -268176?\nAnswer: -355488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 2:18 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (-10 + (1 - (-5 - -1) - (1981 - 1976)))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57685986 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7441579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193304*k**6 + 4*k**3 + 98796*k**2 + 3?\nAnswer: -23196480*k**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnnnnonfonfmnm. What is prob of sequence nfff?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -13 + 1)*(-16 + 30). Let a = c + 225. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:08 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 29. Let i = -899 - -922. What is the remainder when i is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 5. Suppose -2*h + r - 3 + 11 = 0, 3*h - r = 11. Suppose 8 + 4 = -h*p. Give q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*t = 30181, -i - 4*t = -6*t - 10047. Suppose 4*s + d = i, 4*s - d - d = 10066. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13553*l - 117. Let s(r) = -r**2. Give h(s(u)).\nAnswer: 13553*u**2 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*q - 26159166*f**2*q + 2296*f + 32531*q wrt f?\nAnswer: -6*f*q - 52318332*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*0.15\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 14*y - 110. What is the lowest common multiple of 5350 and p(6)?\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11 - 11 - u**2. Let k(f) be the second derivative of 1\/6*f**4 + f + 0*f**3 + 0 + 0*f**2. What is k(t(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82788419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6*o + 4*g - 7, -6*g = -4*o - 78. Let i(d) = -d**3 - 27*d**2 - 47*d - 12. List the prime factors of i(o).\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3505 - 5130?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25479 = -378*m + 380*m, 0 = -l + 3*m + 5106. Calculate the remainder when l is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, 5, -65, 2\/7 in descending order.\nAnswer: 5, 2\/3, 2\/7, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88298 by 106.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/7 + 8706*s**2\/7 + 8713*s\/7 - 52242\/7 = 0. What is s?\nAnswer: -3, 2, 8707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1017870\/140)\/(-111))\/((-1)\/(-2)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -30*p + 33*p. Suppose 7*a - 3*a + 5*c = 29, -3*a - c + p = 0. Are a and 1\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 39*r**2 - 4*r. Let g(l) = 4 - 79720*l**2 + 39857*l**2 + l - 4 + 39864*l**2. Calculate 3*g(j) + y(j).\nAnswer: 42*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 12, 126 = -c - 2*d. Find the common denominator of -37\/12 and (-18)\/24 - 225\/c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2824827, -2824779, -2824731, -2824683, -2824635, -2824587?\nAnswer: -2824539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*s - 49, -p - 149 = -2*s - 120 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -130?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5447290, -21789098, -49025444, -87156328, -136181750, -196101710, -266916208?\nAnswer: -348625244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -124?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/24 + 4*s**2. Let y(j) be the first derivative of 0*j + 2 - 1\/2*j**2. Give i(y(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0556982 to 3 decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 + 7*u + 63. What is g(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -530, -0.3, 0.15 in decreasing order.\nAnswer: 4, 0.5, 0.15, -0.3, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 + v**4\/24 + 5*v**3\/6 + v**2. Let i(p) = -p. Calculate the smallest common multiple of i(-1) and s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 2*b + 508, -4*h = -4*b - 1008. Let w be 2\/(-10) - b\/115. Sort 5, -2, -53, w in descending order.\nAnswer: 5, w, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*a*j**3 - 831*a*j**2 + 3*a*j - 4*a - j**3 - 6*j**2 - 14809*j + 16 wrt j.\nAnswer: -780*a*j - 1662*a - 6*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2 - 2)*(-2 - 1 + 1)*(-3 - 1 + 2)*(6*i - 2*i - 5*i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4328 = -4*v - 2*x, 4*x - 438 = v - 1502. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 plus 292?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10412 (base 5) to base 9\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/4 + v**4\/6 - v**3\/6 + 1983*v**2. Calculate m(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57171136 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - 5320\/(-80) - 5. Suppose 28*t = z*t - 5304. Is t equal to 313\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y = -75*y + 11389. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/9)\/((-2)\/(-6)). Let n = f + 14. What is the remainder when n is divided by 4\/(-6)*(-45)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73\/5, -0.9, -6?\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 74, 160, 280, 434?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 73 - 678. Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172348540 to the power of 1\/2, to the nearest integer?\nAnswer: 13128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1373, 393, 2165, 3943, 5727, 7517, 9313?\nAnswer: 11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 18*s + 5*r + 10565, 2*r - 10579 = -5*s. Let h = s - 1310. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1257810.82+-58\nAnswer: 1257752.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008031 rounded to five dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-7)\/(504\/88).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 4. Let x be 72\/15 - (-2)\/10. Solve -s + x = j*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25\/273 + 2\/39. Let o = k - -3\/28. Is 0 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - f + 9 = 3, 5*i + 27 = 2*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-6)\/14) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*s**2 + 13*s**2 - 34*s**2 - 7*s**2 - 11*s**2.\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.002 + -3.798. Let j = f + 0.8. Sort 5, 1\/6, j, 2 in ascending order.\nAnswer: j, 1\/6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622 by -1231.\nAnswer: -622\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -11*l**8\/28 - l**4\/3 + 20*l. Find the third derivative of q(p) wrt p.\nAnswer: -2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -334, 138, 2.\nAnswer: -334, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 777460.0726 rounded to the nearest ten?\nAnswer: 777460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 2*t + 5. Suppose 4*v - p = -20 - 9, 4*v = 4*p - 44. Let g(r) = 1 - 3 + 1743*r - 1741*r - 4 - 6*r**2. Give v*g(o) - 7*a(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 60*a**4 - 8*a**3 + a**2 + 8*a + 1201. Let z(o) = 6*o**4 - o**3 + o**2 + o - 2. Let x(n) = g(n) - 5*z(n). Find the second derivative of x(v) wrt v.\nAnswer: 360*v**2 - 18*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + (-216)\/(-315). Let f be (6\/4)\/(18\/8). What is the nearest to a in 4, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 30. Solve -3*x - 18 = -u*y, y = -x - 3 + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -3 - (6 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-6232)\/(-16)*(-5 - -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -3, -138\/61, 0.094?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Let z(b) = 2*b + 1. Let o(t) = 3*j(t) + 2*z(t). Let u be (-3 + 0)*(-1 + 0). Let n = u + -7. What is o(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 1680*g - 49561.\nAnswer: (g - 1709)*(g + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (6 + -5 + 8 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-28)*(-280)\/(-3100)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100011110111111001111001?\nAnswer: 100011110111111001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -419*q - 326. Calculate the remainder when 2136 is divided by f(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(3*2\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -14126 > -14131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 25*m**2 - 616*m - 14896\/3.\nAnswer: -(m + 19)*(m + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808488871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794427461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -936 and 4.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-76)\/(-6))\/((-4)\/(-6)) is divided by 6 + (-4)\/1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 0. What is the second smallest value in w, 0.1, -17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*a = -26, 3*s + 7 = 5*a + 5 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 1. Let y be (-1 + -4)\/(3 - 14\/4). Suppose 0 = n - 2*x + y, 2*n - 5*x - 9 + 33 = 0. Give q(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let g = -5 + 10. Put 3\/4, g, o in ascending order.\nAnswer: 3\/4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 153*u + 136 - 32.\nAnswer: 153*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2056, -3, 19 in decreasing order.\nAnswer: 19, 3, -3, -2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5324) + -1)**2 + sqrt(5324) - (sqrt(88)\/(sqrt(32)\/sqrt(4)))**2*-4)*-2.\nAnswer: -10738 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*s = -2662 - 3074 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - (-3 + 5)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 789278580 to the power of 1\/2, to the nearest integer?\nAnswer: 28094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 1407, 1400, 1385, 1362, 1331, 1292?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/120 - r**5\/15 - 5*r**4\/12 + 5*r**3\/3 - 19*r**2\/2 - 10*r. Let s(n) be the first derivative of t(n). Does 3 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let i(b) = b - 2*b + 2*b + 2*b. Give t(i(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*x + 293, 5*x + 15*r - 18*r - 483 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17090*x**5 - 18*x**3 - 128527*x?\nAnswer: 341800*x**3 - 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -39. Suppose -2*o + 4*u + w = -5*o, -2*o = -4*u. List the prime factors of (o\/10)\/((78\/(-765))\/13).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*(y**1\/y)\/y*y*y\/(y**(6\/5)*y)*y\/y**(-8) assuming y is positive.\nAnswer: y**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*o - 158264 = -185*o - 1230*o for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 28*u**2 - 538*u + 8523. Calculate o(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*((-15)\/6)\/5*(-658)\/141)\/(-6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*i**3 + 3*i - 3*i + 45*i**3 + 98*i**3 + 75*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -16*k + 24. Find the common denominator of 2\/k - (-623)\/294 and -77\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*r + 68, 0*g + 4*g = -4*r + 128. Calculate the highest common factor of 1148 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 184 = -5*q, 3*a - 5*a - 4*q = -92. Let x = -6 + a. Let g = 4 + 4. What is the greatest common divisor of g and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 83?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*t**4 + 2*t**3 + 29*t**2 - 42*t - 190 wrt t?\nAnswer: 1788*t**2 + 12*t + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.45 + 4.5. Let g = -0.05 + w. Let m = 22\/59 - 331\/413. Is g equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3, -4*r = -3*x - 0*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-120) - 16\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2748 and -0.5.\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**6*j))\/j*j\/((j**(-8\/5)*j)\/j))\/(j**(2\/9)*j**(4\/11)*j) assuming j is positive.\nAnswer: j**(-3953\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 0 = -6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 678272129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5428 and 260544.\nAnswer: 260544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3738*b = 819*b - 23091 - 142805 - 149356 for b.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 2*h**2 - 2*h**2 + (-1 - 8 - 8)*(h**4 - 5*h**3 + 5*h**3).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49250 and 1250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeejeeeee. What is prob of sequence eeej?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*j + 10 = 0, -10703*q - 5*j = -10704*q + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/3, 109, 177199.\nAnswer: -2\/3, 0.5, 109, 177199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32345864 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let k(g) = -3*g**2 + 4. Let w(m) = -5*m**2 + 7. Let f(l) = -7*k(l) + 4*w(l). Give u(f(i)).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**7\/280 - o**4\/12 - 17*o**2. Let r(w) be the second derivative of p(w). Let x(m) = m - 8 + 8. Calculate r(x(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9.2, 2\/11, 1\/2, 5, -0.018?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/8)\/(-1 - 1). Let s = -50 - -47. Let k = 0.03 - 2.03. Sort n, k, s in decreasing order.\nAnswer: n, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(460\/(-5175))*(-1)\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 70. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36395 divided by 25\nAnswer: -7279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715)*-2 - sqrt(1715)) + sqrt(1715))\/(-2*sqrt(847)).\nAnswer: 7*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 11133?\nAnswer: -55665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -6, -17, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -110. Let r = -134 - -264. Suppose -r = -7*l + 164. What is the remainder when l is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120781510 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: What is the third derivative of -10622*b**3 - 3*b**2 + 1146*b?\nAnswer: -63732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/2583 + 17611\/67158. Let n = u + -1\/26. Let q be (0 + 0)*(-1)\/1. Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s**2 + 10. Calculate c(-3).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 + 6*z + 1. Let h be k(6). Let l be (2\/3)\/(h\/3). Solve l*b - b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 94*v - 17. What is the units digit of b(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-1)\/(-1) + 6. Suppose u*y - 3*y + 4*x = 14, x - 14 = -2*y. What is the smallest common multiple of 4 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 104, 219, 354, 509, 684, 879?\n\"Answer: 10*t**2 + 85*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o**2 + 9*o - 2. Let p(w) = 8*w**2 - 4*w + 1. Let f be ((-118)\/(-4))\/((-18)\/(-72)). Let k = f + -124. What is k*v(r) - 14*p(r)?\nAnswer: -10*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -3739\/155?\nAnswer: -3739\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8) - (-26)\/(7696\/629). What is the second biggest value in -6, a, -0.58, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 68 = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/45*5*-9. Let a = 26 + j. Calculate the remainder when 25 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232837*v + 10972 = -233048*v for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -618 (base 9) to base 11.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 6*z**4 + 1017*z**3 + 294*z**2 - z + 7.\nAnswer: 240*z**3 + 144*z + 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)\/c*c)**8\/((c**(6\/5)*c)\/c**(-3\/11)) assuming c is positive.\nAnswer: c**(-136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 - (-1 + -3) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) - 2\/12\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**7\/105 - c**6\/30 + c**5\/30 - 5*c**2. Factor z(l).\nAnswer: 2*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557651.\nAnswer: 3, 519217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/87*9\/(-2)*8*48\/(-5184).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 1, q: 7}. Give prob of sequence tqqq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-i + 2*i - 3*i) + 2*i - 4*i + 0*i + 3*i + 1 - 1 + (-3*i + 1 - 1)*(-889 + 587 + 538) as b + z*i and give z.\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 659*h + 4000. Calculate the remainder when 349 is divided by b(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*r**3 - r**4 - 1 - 9*r**3 - 7*r**3 - 4*r**3 - 2*r to the form s*r**4 + z + g*r + n*r**3 + o*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 145, 1\/7, 386936\/7?\nAnswer: 386936\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -7.073?\nAnswer: 21.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 694914325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17222458*0.06\nAnswer: -1033347.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*k - 5*k - 36, -4*x - 5*k + 13 = 0. Let f = 11 - x. Let t be 65\/130 + 1 + (-13)\/2. Sort f, t, -3 in descending order.\nAnswer: f, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 129*n**2 + 73*n - 350. Does 2 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 27. Let f(v) = 82*v**2 - 5*v + 163. Determine f(p) + 6*y(p).\nAnswer: 88*p**2 - 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10000 - 3?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, x: 4, i: 1, p: 2, c: 4}. Give prob of picking 1 f and 2 x.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5*(-4)\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (32 - 25)) + -3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouoefoe. Give prob of sequence fo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 41974*z**3 - 41978*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*s + 3462 = 19441 + 9956 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11187 is divided by 798?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3119038 litres?\nAnswer: 311.9038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4135.834.\nAnswer: -827.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-174)\/(-58))\/((-6)\/10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 5.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/12 of a year in months?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**17)*q)\/q**(-9) assuming q is positive.\nAnswer: q**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-48))\/(2\/117). Let n be 64\/(1 - (1 + -1)). Let i = n + w. Solve -4*b + v + 35 = -2*v, -2*v = -3*b + i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -86. Suppose -z = -11 + q. Suppose 3*d = -z*o + 447, -5*d - 6*o + 752 = -8*o. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -193384.94\nAnswer: 580154.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17266 - -17273.143. Let c = -0.157 - y. Round c to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334719\/(-67620) - (-1)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 + 10*r + 38. Let l(d) = 5*d**2 - 9*d - 40. Let b(k) = -3*l(k) - 2*q(k). Let m(s) be the first derivative of b(s). Calculate m(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-50)\/(-1425))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 5978770873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 9364\nAnswer: 1\/9364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/11412 and 143\/7608?\nAnswer: 22824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2597368 and 188038.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - ((50 - 31) + (-137 - 38)).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 7*m - 2*m**4 + 0 - 2*m**2 + m**3 + 8*m in the form a*m**4 + n*m + t*m**3 + d + b*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133843 or 246?\nAnswer: 133843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -1410, -4125, -9010, -16689, -27786?\nAnswer: -42925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131\/3 + -44. Let q = 23103 + -161719\/7. Sort q, n, 3, 0.01 in increasing order.\nAnswer: n, 0.01, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3336 + 3677 = -31*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238954100 rounded to the nearest 1000000?\nAnswer: 239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*h**5 - h - 22*h**5 + 2*h**2 + 4*h + (-3*h**3 + 3*h**3 + 2*h**4)*(-3*h + h + 0*h) - 3*h**5 - 2*h**5 - h**5.\nAnswer: -8*h**5 + 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 543.86.\nAnswer: -549.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - 28*(-44)\/8?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 6*b - 108. Let h be (18\/15)\/(b\/45). Let x(k) = -k**2 - 3*k + 5. Let v be x(h). Solve 4 = -2*s, 2*w - w = v*s + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 3*x + 672 = 0, 4*x + 66 + 214 = 5*i. Solve -2*f = i - 48 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2528380 divided by 3028.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7831, 15663, 23495, 31327, 39159, 46991?\nAnswer: 54823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -34 (c) -1471\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 - (28 + (4 - 22)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mffc when four letters picked without replacement from fsbsmcffybsmmbc?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h - 5\/12*h**4 + 0 + 11\/6*h**3 + 11*h**2 + 1\/60*h**5. Calculate b(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 15*r**2 + 27*r + 16. Suppose 0 = 10*z - 2*z + 104. Let i be x(z). What is the units digit of (i - 7)\/8*-74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 322.611 and 512.7.\nAnswer: 835.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (13 + -9 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((((((k\/k**(-2\/13))\/k)\/k)\/k)\/k*k*k)\/k))\/k)**(-4\/27)*(k**(-6)\/k)**30 assuming k is positive.\nAnswer: k**(-24602\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(4 - 13) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20863400 to the nearest 100000.\nAnswer: -20900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/42)\/((182\/(-1))\/14)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -11\/6, 0.23, 0.04, 3\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 4*y + 0*y - 7 + 22*y**2 - 6*y**2. Is 18 a factor of a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/2 + 5*g. Let j(x) = -6*x**2 + 31*x - 13*x - 18*x. Determine j(b(i)).\nAnswer: -216*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/880 and 11\/2.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-56))\/(6\/6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1171017 and 51034.\nAnswer: 756476982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t**3 - t**2 + t**2 + 26*t**3 + 5*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14*0.06\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75248240*f**2 - 98734642 wrt f?\nAnswer: 150496480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in minutes?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -22, -0.1 in decreasing order.\nAnswer: -0.1, -22, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33389 in -3\/7, 0.4, -3, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s = 34*s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 14 - (-20 + 5 - -16).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 3:12 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-30 - 7)) + -30\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1397487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -210 (b) 106\/19 (c) -1 (d) -1\/5 (e) 0.0587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmd when four letters picked without replacement from mdemmddddmmnmbbmbmmm.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 29*l = -285. Suppose 2*k - l + 483 = 3*a, 5*k = a - 142. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35097 - -34859.968. Let x = -238 - r. What is x rounded to 2 decimal places?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 3.1, 2, -5 in ascending order.\nAnswer: -57, -5, 2, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333 + 339. Suppose 5933 = b*u + 11*u. Does 46 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82266 (base 12) to base 13.\nAnswer: 5c328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 47*x**2 - 91*x - 1020. Determine b(-15).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/((-131)\/(-131))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -344*w - 182*w + 302*w as g + z*w and give z.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -84, 49, -3, 8 in descending order.\nAnswer: 49, 8, -1, -3, -8, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*n - 6 = 0, 2*n + 9 = u - 0. Solve -16 = 5*b + u*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -2\/81 (b) 0.3 (c) 239.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/6 - -43\/66. Which is the nearest to r? (a) -0.2 (b) 2\/7 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 6*m + 3*a, 2*m - 3*a = -10. What is the tens digit of (-542)\/(-14) - m\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/21 - 0) + -24 + 27.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 35*l + 14. Solve 4*d - 18 = -l*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -772680?\nAnswer: 3\/257560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + (103 - 116)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/(24\/108*9\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4200201 - -42?\nAnswer: 4200243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a factor of 15865520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 1. Let r be 1 + u*3\/(-3). Let h be 2\/2*(-6 + r). Put -4, -5, h in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -5*c, -7 = -c + 3*l + 2*l. What is the common denominator of -41\/8 and c\/9 - 164\/(-96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 3)*(3 + 2*p - 3) + 2*p + 0*p - 4*p - 6*p + 4*p + 3*p)*(15 + 5 - 104).\nAnswer: 252*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 81*x - 47*x - 17*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i)*(5 - 5 + 2*i) - i**2 + i - i**2 - 4*i.\nAnswer: -6*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/6 + 1 + -5. Suppose -i*q = 25 - 10. Which is the nearest to -0.1? (a) 1 (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 92*q + 10036. Calculate i(-83).\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/10 + (-12)\/30. Suppose -q + 0 = s + y, 0 = -5*s. Let n(v) = -v**3 + v - 2. Let j be n(-2). Sort 3, j, q in decreasing order.\nAnswer: j, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 7*q**4 + 79*q**3\/6 + 33*q. What is the second derivative of g(s) wrt s?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183607768 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/12 + d**2. Let b(h) = 30*h. Let n(q) = -3*q. Let l(x) = -2*b(x) - 21*n(x). Calculate l(y(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6503.38092 rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4433*s**2 - 124*s - 3367*s**2 + 22*s - 21*s.\nAnswer: 1066*s**2 - 123*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -79*w**4\/24 + 207*w**2 - 1. Let r be 49\/2 + (-2)\/(-4). Let t(f) = 25*f + 2*f**2 - r*f. Calculate n(t(c)).\nAnswer: -158*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**8\/33600 - v**7\/2100 + v**6\/400 - v**5\/150 - 5*v**4\/6 + v. Let o(y) be the third derivative of d(y). Solve o(j) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adao when four letters picked without replacement from {d: 2, o: 4, a: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**3\/33 + h**2\/11 + 2. Determine r so that w(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96.3 and 185198030.\nAnswer: 185197933.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.5, -1\/12, -0.18, 39.3, 2\/15?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 35*r - 501073 = -5*g, 0 = -4*g + 2*r + 400862. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 23*k)*(2*k**4 - 4*k**4 + 5*k**4).\nAnswer: 51*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 16 = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 122798 and 104.\nAnswer: 491192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:27 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 32*d**2 + 32*d - 29. Let o be l(31). Find q such that -2 - 1\/2*q**o - 2*q = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311784 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108642 - 35198 = 43*v. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 944*w**3 + 7*w**2 + 5*w + 24. Let q be y(-4). What is q rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6164, 0.021, -0.3 in ascending order.\nAnswer: -0.3, 0.021, 1, 6164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-96))\/((-2)\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from ozozooozzoozozozzz.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8691813 and 351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and 89\/561544.\nAnswer: 1684632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -185927 from 1.2.\nAnswer: 185928.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -6, 1\/26, 7\/8, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 9:16 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 186078559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*y = 25, -3243*y + 28 = 3*a - 3248*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/49 (b) 0.07 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000321234 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 460\/(-110) + (-474)\/(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 2\/13, 2\/435, 5\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let p(r) be the second derivative of 67*r**4\/12 - 11*r. Calculate o(p(d)).\nAnswer: 67*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {c: 2, n: 1, t: 2, i: 2, a: 2, r: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 59 = 16*k - 2*p, 3*p = -6. Let w(m) = 68*m - 88. Is w(k) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8)*4)\/(6\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*b - 14*w + 11*w, w - 204 = -3*b. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 3*l**5 - 3*l**5 + (-1 + 0 + 2)*(1 + 5 - 5)*(-9*l**5 + 2*l**3 - 2*l**3) - 6*l + 2*l**5 + 6*l.\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(8\/(-876)). Suppose -7*v + 4*v = u - 4, -5*u = 5*v + 10. Suppose 0*m + 2*m - j = -3*t, -v*t - 147 = -3*m. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 + 5. Let r be h(0). Suppose r*t + 37 = -23. Is 2 a factor of (-3)\/6*(-2 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 7*i**3 - 2*i**4 - 4*i**4 - 3*i**4 - 2*i**3 to the form f*i**4 + j*i + p*i**2 + k*i**3 + w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322665102 divided by -6?\nAnswer: -53777517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219979?\nAnswer: 219979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 - 48237*r**4 + 482181*r**3 - 1783839*r**2 + 2892528*r - 1735452 = 0. Calculate r.\nAnswer: 2, 3, 16069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 3657.\nAnswer: -1462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 0*o)*(-3*o + 3*o - 2*o**4) + (-1 + 1 - 2*o**2)*(o**3 + o**3 + o**3).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32262 (base 8) in base 14?\nAnswer: 4cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 8*g - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 51 = 5*c, -3*c = -3*s - 2*s - 35. Suppose -4*g - 5*a = -5*g + 80, 134 = 2*g + 3*a. What is the greatest common factor of g and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2 = -19*q + 22*q, -3*q + 2*o + 8 = 0. Is 63 a factor of ((-6)\/4)\/(q + (-13450)\/3360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -707988.\nAnswer: 4\/176997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*o - 3*o = -20, 4*h - 2*o = 0. Suppose g + h = -0*g. Is -2 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/5))**(-9\/2)\/(b**(-1))**(-1\/2) assuming b is positive.\nAnswer: b**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 4*w - 56 = 0, 1066*y + 4*w = 1067*y + 74 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or -314216?\nAnswer: -314216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -3\/2, -12\/5 in decreasing order.\nAnswer: -1\/8, -3\/2, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let p = 8 - 6. Suppose 4 = -p*a + 6*a. Suppose -4*m - 5*v - 11 = 0, -5*m - a = -v + 3*v. Let o(s) = -s + 3. Calculate m*o(j) - 3*g(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*n + n = -23, 0 = p - 5*n + 3. Let b be (0 - (-1 + 2))*9. Let x = b - p. Sort -2\/7, x, -5.\nAnswer: -5, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 - 3*s**2\/2 + 2*s - 4. Let q be n(2). Let g = q + 4. Solve 30 = -3*a + g*x + 3, 3*x - 34 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.4*-0.8\nAnswer: 40.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, q: 2, t: 1, e: 2}. What is prob of sequence tq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, i: 8, q: 3}. What is prob of sequence qqqz?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 977*z**5\/20 - 831*z**4\/8 + 50*z**2 + 2. What is the second derivative of m(j) wrt j?\nAnswer: 5862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27581 or 27584?\nAnswer: 27581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 - 70*g - 224. Calculate s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 7. Suppose -m - 4*j + 7 + 12 = 0, 3*j = 3*m - 12. Let q be t(m). Let n be q\/((-6)\/(1*-3)). Round n to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3846, 17, -4, -18, 9 in descending order.\nAnswer: 3846, 17, 9, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 104\/(-16)) + 22\/28. Suppose 3*z + 0*m - m - 8 = 0, 2*m + 8 = 4*z. What is the third biggest value in z, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/7)\/5 + -5. Let v = 2 + 1. Let o = -2 + v. Put 2, c, 3, o in decreasing order.\nAnswer: 3, 2, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**3 - 145*l**2 + 975*l + 1125 = 0. What is l?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 390 = 4*f, 0 = -b - 2*b + 6*f + 234. Suppose 81 = 5*u - 4*k, u - 5*k + 2*k = 25. What is the highest common factor of u and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 71*i**2 - 38*i - 84. Let p be b(-36). Let c(f) = -4*f - 13. Let s be c(p). What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 - 4*d**2 - 3*d + 103. Let g(q) = -14*q**3 + 11*q**2 + 8*q - 310. Give 11*a(m) + 4*g(m).\nAnswer: -m**3 - m - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94749, -189599, -284449, -379299?\n\"Answer: -94850*f + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*2*6\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*x = -309*x + 816 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 6 = -3*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/((-9)\/2). Suppose -4*y + 4*l + 10 + 122 = 0, -y - 4*l + 18 = 0. Let c be ((-3)\/y)\/(4\/10). Are n and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59999?\nAnswer: 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496\/(-7080) + (-21)\/195 + 1?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/27)*k)\/(k**(-5)\/k) assuming k is positive.\nAnswer: k**(191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2626, 10514, 23664, 42076, 65750, 94686?\n\"Answer: 2631*d**2 - 5*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.78 - 5. Let y = a - 0.18. Suppose -12*l + 18*l = 6. What is the closest to l in 11\/3, y, -2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25599 and 477.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.87 - -11.9. Let l = -0.062 - i. What is l rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 3. Let p(o) = -2*o - 3. Calculate -3*j(g) + 4*p(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.3, 321, -2, -5\/6?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 6. Suppose -x - 8 = 1. Let j = -3 - x. What is the units digit of w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7463 times -0.5?\nAnswer: 3731.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104356.59119 + -104356. What is c rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26446, -26442, -26438, -26434, -26430?\n\"Answer: 4*z - 26450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/90 + b**4\/6 + 8*b**3\/9 + b**2\/2 - 26. Let d(f) be the second derivative of w(f). Determine n, given that d(n) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147287, 148841, 150395?\nAnswer: 151949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*z**3 + 42*z**3 + 144*z**3.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by 67\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*m + 2*o - 1596 = 118*m, 2*o + 404 = m. What is the remainder when 135 is divided by (18\/(-16))\/((-75)\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3379, 1\/8, -0.354?\nAnswer: -0.354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 + 336. Let l = 4 - o. Let u = l - -170.85. Round u to 1 decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*h - 182880 + 182932, -h + 2 = 5*o for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -647*u**4 - 649*u**2 - 1225349.\nAnswer: -2588*u**3 - 1298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 4956*q + 14841.\nAnswer: 3*(q + 3)*(q + 1649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39090 + 41078. Calculate the smallest common multiple of v and 56.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 371 - 110 = 2*d, -4*d + 516 = 4*y. Let u be ((-8)\/d)\/((-1)\/(-25053)). Let i = 1520 + u. Is 2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-120)\/(-96))\/(45\/10). Let o(v) be the first derivative of 5 + 0*v + 5\/6*v**2 - i*v**3. Let o(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*n**2 - 61*n**2 + 8*n**4)*(3*n - 2*n + 0 - 1).\nAnswer: 8*n**5 - 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -219.5 times 6\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4560*z**2. Let j(f) = -2492*f. Determine t(j(d)).\nAnswer: -28317891840*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.1. Let q = 0.05 + n. Suppose 52*u = -3*f + 53*u - 12, 3*f + 18 = -u. Put q, -3, f in decreasing order.\nAnswer: q, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -2*o, -r = -o + 4*o - 4. Is o\/9 + 3228\/54 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2027*u + 2026*u. Suppose -5*l = 4 + 1, l = r - 1. Which is the closest to r? (a) u (b) -0.5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579927.\nAnswer: 3, 61, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5241358818 + -178.0168862782. Let l = -185.441021 - x. Let r = -6.9 - l. Round r to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8719.73 (b) 12 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 + 1071*u + 1070. Calculate the lowest common multiple of 1890 and v(-1).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 2, w: 6, f: 1, r: 7}. Give prob of sequence rlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s + 3. Let l(p) = -1. Let u(k) = -4*k - 3. Let r(b) = 4*l(b) - u(b). Let w(m) = m**2 + 2*m - 2. Let z be w(2). Calculate z*i(a) + 17*r(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 9691*o + 9691*o + 5*o**2 + 4*o**2 - 127 as z*o + x + s*o**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 606 - 610. Let d = -68 + 67.9. What is the closest to -3 in d, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:29 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/11)*b\/(b**14*b) assuming b is positive.\nAnswer: b**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q - 2*q**4 + q**4 - 7 - 6*q to the form k + j*q**2 + p*q**3 + n*q**4 + l*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let p be n(4). Suppose p*z = -8 + 56. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014818 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/19 - 1264*h**3\/19 - 198444*h**2\/19 + 400688*h\/19 - 200978\/19 = 0. Calculate h.\nAnswer: -317, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 20*z - 68. Let u be p(12). What is the greatest common factor of 32 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let k(v) = -9667714*v + 2. What is k(r(l))?\nAnswer: 9667714*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294421 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 16 + 51. Suppose -f = y*w - 14, -w - 1 = -2*f + 5. Factor -4\/3 + 2\/3*d**w - 2\/3*d.\nAnswer: 2*(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 31 = 2*s - 4*i, -5*i - 11 = 3*s. Suppose s*b = v + 7 + 13, -4*b - 4*v + 32 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 70, 113, 162, 217, 278?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*o - 566*o**2 + 31*o**2 - 1323*o - 303*o wrt o.\nAnswer: -1070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.33. Let m = 1.13 - f. Which is the third smallest value? (a) m (b) 1\/6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000200341491 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18566.\nAnswer: 2, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 555 and 333?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1785, -1405, -4593, -7779, -10963, -14145, -17325?\nAnswer: -20503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 - 12717469?\nAnswer: -12717465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1209, 1204, 1205, 1218, 1249, 1304?\n\"Answer: z**3 - 3*z**2 - 3*z + 1214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2))\/((w**5\/w)\/w)*w**(1\/7)*w**(-5)\/w assuming w is positive.\nAnswer: w**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 11 - 6)*(-2 + 3 - 3) - 3 + 0 + 2)*(2 + 3*x**2 - 2).\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -592, -585, -574, -559, -540, -517, -490?\n\"Answer: 2*d**2 + d - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21208)\/482)\/(8\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*z + 21, -5 = -3*z + 8*z. Suppose -53 = -n - q + 174, -g*q = 4. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -355 - -61. Let h = -200 - l. Suppose -5*o - 4*t + 530 = t, 5*t = o - h. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -20*o**2. Let s(k) = 21371324*k**2. What is s(h(p))?\nAnswer: 8548529600*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*h + 914 = 4*y, 2*y + 675*h - 676*h - 7 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-6))*n*n\/(n\/n**(-1\/11))*n*(n**(-2\/7)\/n)**(-5\/2) assuming n is positive.\nAnswer: n**(1713\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -0.3 (c) 269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**5 + a**2 - 19. What is the second derivative of m(z) wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -1401, 0.3?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70167322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13.8. Let k = 0.8 + -0.5. Let y = o + k. What is the third biggest value in y, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 5*p = -30*j - 15*j - 35, -17 = -5*j + 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 19*s + 48. Let k = 34662 + -34642. Calculate c(k).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*z**2 - 15*z**4 + 59*z**2)*(12*z + 16 + 10*z - 24*z).\nAnswer: 30*z**5 - 240*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**6\/120 + m**5\/60 + m**4\/8 - 2*m**3\/3 - 2*m**2 + 36. Let u(s) = -2*s**2 - 45*s - 246. Let q be u(-10). Calculate v(q).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 - -26?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267, 352, 437, 522, 607?\n\"Answer: 85*k + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/361998 and -181\/166770.\nAnswer: 197288910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2771242294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1221 * -7.5\nAnswer: 9157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555 and 913919795?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7*-310965.\nAnswer: 2394430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let f(v) be the second derivative of -1\/3*v**3 + 0 - v + 0*v**2. Calculate f(b(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 4*a + 2. Let c(s) be the second derivative of s**4\/4 + 5*s**3\/6 + 3*s**2\/2 + 57*s - 1. Give -2*c(n) + 3*o(n).\nAnswer: 6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -228 (base 16) to base 2\nAnswer: -1000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*r**5 - 47*r**4 - 622*r wrt r?\nAnswer: -120*r**3 - 564*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24255514 to the nearest integer?\nAnswer: 4925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 21 = 2*a, 5*t - 4*a = -3. Sort 7, -28, t, 4.\nAnswer: -28, 4, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let a(g) = 484801*g. Calculate a(j(t)).\nAnswer: -969602*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**2 - 71*j + 108. Give v(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1037187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 + 3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 79 - 81. Suppose 2*y + 2*x = -2*y + k, -3*y + 2*x + 10 = 0. Suppose r - 210 = -y*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 34. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39064087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -1, -0.4, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560649791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3239508 (base 10) in base 12?\nAnswer: 1102870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*b - 1328 = 3*b, -2604 = -2*q - 3*b. List the prime factors of q.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8621661 (base 10) in base 5?\nAnswer: 4201343121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.3 (b) -4 (c) 0.2 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -385 (b) -12 (c) -2\/13 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9832320 and 860328?\nAnswer: 68826240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (52*(-42)\/(-728))\/(((-12)\/(-51))\/4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**9\/u*u*u))\/u)**(4\/13)\/(u**(-2\/21)\/u**(-17\/4)) assuming u is positive.\nAnswer: u**(-7561\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 45*j**2 + 2*j + 5. Let o be u(5). Suppose -2*x = 8*x - o. Let v be x\/22 + 4\/(-22). Solve -5*g = -2*r + 16, 2*r = v*g - g + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - u - 63 = 0, 4*g - 25*u + 20*u + 84 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpp. Give prob of sequence dp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7663\/(-12804)*-12*(-11)\/(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2079, 2148, 2243, 2364, 2511, 2684, 2883?\n\"Answer: 13*c**2 + 30*c + 2036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545971619 is divided by 3706?\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Suppose -2*t = 5*h + 1 - 6, 5*t + 3*h - 41 = m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 174\/(-9) - 3\/(-9). Let i = b + 15. Let o be 6*i\/(-252) + 0. Put 0.4, 4\/9, o in descending order.\nAnswer: 4\/9, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74\/57, -1, -195\/8 in decreasing order.\nAnswer: 74\/57, -1, -195\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259880 and 60391840.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105134 is divided by 47865?\nAnswer: 9404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 42 = 4*h, 5*p - 3*h - 84 = 0. Calculate the highest common divisor of 75 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 17 = -i + 3*w, -5*i - 4*w + 41 = 0. Suppose 2 = -2*s, -c - c = i*s - 21. What are the prime factors of 45 + c - 2*-2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20610 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -11 - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 3*k**2 + 6*k**2)*(-7*k - k + 5*k) + 32 + 16*k**3 - 32.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-2))\/f*f)**(-44)*(f\/(f\/(f\/((f*f**(-1)\/f)\/f)*f)))**(-48))\/((f*f**(-6\/7))\/f**(6\/7))**(-28) assuming f is positive.\nAnswer: f**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d + 65*d - 177*d**5 + 28*d - 94*d**5 wrt d.\nAnswer: -5420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*w = -3*w + 97, 0 = -4*w - 8. Suppose -4*m + 368 = c*m. Solve 13 = -b + 2*b + 4*v, 4*v = -4*b + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -11*y + 16*y. Suppose y = -3*i - 9. Let h be (1*-5)\/(15\/i). Solve -h*v + 3*v = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-14))\/(4 - (-14)\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122158.\nAnswer: 2, 103, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**2. Let h(d) = 10379*d. Calculate h(o(q)).\nAnswer: -114169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 + -6213aa?\nAnswer: -621482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582 - -388. Let o = x - -193.7. What is the closest to 0.1 in 16, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23092684 is divided by 583.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/28 and 37\/14924.\nAnswer: 14924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6750071 to the power of 1\/2, to the nearest integer?\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 592*g**2 - 37*g + 240. Is o(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*d + 7, 0 = -2*h + 27*d - 31*d + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285325045 is divided by 142662522.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 107148 = 107170 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/735 + f**6\/60 - f**5\/210 - f**4\/12 + 8*f**2 + f. Factor z(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22570.89 nanoseconds in minutes?\nAnswer: 0.0000003761815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1734)\/(-866) - 12\/6. Let p = n - -3892\/2165. Solve p*x - 3\/5*x**2 - 6\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 18*z**2 - 31*z + 33. Give o(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 239*l**4 - 7*l**3 - 53 + 235 + 2*l**3 + 5*l**3 wrt l?\nAnswer: 956*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (15 + (-27 - (-35 - -12))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 335 = -3*m + 45, 2*j + 252 = 2*m. Let y = -1696 - -1710. What is the remainder when m is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1895314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (11 + (-18 - 12) + 7 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -3. Let y = k - -1. Suppose 4*w - 2 = 3*p + 8, 3*w - 11 = 4*p. Sort -1, y, w in decreasing order.\nAnswer: w, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(112) + sqrt(112)*-2 + -5 + -2))**2.\nAnswer: 2016*sqrt(7) + 5796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65165 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5382 - 4\nAnswer: -5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16173*h**2 + 1098951*h**2 + 216485*h**2.\nAnswer: 1299263*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96908 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2996\/15 + -200. Suppose -3*y - 56 = -56. Is y at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 13 + -2 + (9 - 15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/60 - g**4\/4 + 5*g**3\/6 + 25*g**2. Let a(m) = -3*m + 2. What is -5*a(d) + 2*p(d)?\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, 107165 in ascending order.\nAnswer: 6, 8, 107165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 30 (c) 2\/11 (d) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 27691*q**2 + 626*q**3 - 2 + 27693*q**2 as s*q**3 + d + g*q**2 + f*q and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 112\/14 - (-3 + 31)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 742, 298, -2, 3 in ascending order.\nAnswer: -2, 3, 298, 742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*u**2 + 181*u**2 + 127 + 208 + 39 - 78 + 2*u wrt u.\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -879, 5, 0 in ascending order.\nAnswer: -879, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 34215170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 5*n - 37, -7*x + 6*x = 3*n - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -6*m + m. Suppose -5*b + m = 5*o, 2*o = b - 2*o - 40. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - -219. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*(-10)\/(-240)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38996.\nAnswer: 2, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7272333 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*w + 288 = 0. Suppose 84*l + w = 86*l. Calculate the remainder when 48 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1161 - 1159. Solve -6*n + 7*n = q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92816 - -3.00052.\nAnswer: -92812.99948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 118*a + 15648 = 274*a - 56*a for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1600) - sqrt(1600)*1*-2)*-1)\/(-2*-2*sqrt(30)\/sqrt(6)*-6))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03650912 + -20.\nAnswer: -19.96349088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 + l**2 - 4*l + 3. What is j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t, -3*i + 2*t + 76 = -137. Calculate the remainder when i is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 12*v - 7. What is d(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 + 2*g**5 + (5*g - g + 2*g)*(4*g**4 - 2*g**4 - 4*g**4) - 7*g**5 + 20*g**5 - 6*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-12)*10\/1. What is the highest common factor of f and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = n + 3*a - 9 - 1, -32*a + 105 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3119009978 and -32.\nAnswer: -32.3119009978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 7\/2*f**2 + 1\/4*f**4 - 2*f**3 + 1 - f. Let a be 1*(-13)\/(-26)*5*2. Determine u(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14.07. Let m = 0.07 + j. Suppose 4*i + 21 = -6*l + l, -2*i = -l + 7. Which is the nearest to 0? (a) m (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 27*b**2 + 59*b - 25. Let d be n(29). What is the highest common divisor of 37 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6347334.\nAnswer: 2, 3, 7, 79, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 19, 12, -2 in increasing order.\nAnswer: -2, 12, 19, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3484010 and 38\/1742005.\nAnswer: 3484010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5\/2 (b) 2 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-225)\/(-6) + 1\/(-2). Suppose 2*d - g = 20, 2 = -3*d + 4*g + h. Calculate the remainder when 35 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, y: 2, n: 1, a: 1, d: 1, z: 4}. Give prob of picking 1 r and 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -629 - -633. Solve -v*f + 36 = 4*i, 0 = -3*i - 7*f + 2*f + 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4625 and 211825?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - s + 2)*(-7 + 1 + 2) + 0*s - 2*s + s + 10*s - 2 - 4*s - s)*(-s + 4*s - 5*s).\nAnswer: -16*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z**2 - z)*(3*z - 3*z - 2*z) - 3*z**3 - 3*z**2 + 3*z**2 + (6*z**2 + 0 + 0)*(-23*z + 2*z - 364*z).\nAnswer: -2309*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18256)\/(-84) - (-4)\/(-3). Solve -c*a - 40 = -196*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-7))\/(10268\/395318).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**3. Let j(h) = -15*h**3. Let a be 1\/2 + 180\/40. Suppose -g = a*u + 50, g = u + 4*u + 60. Give u*s(b) - 6*j(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -34, -27, -16, -1, 18?\n\"Answer: 2*w**2 - 3*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/700*((-760)\/6)\/(-4) - 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45963 and 4?\nAnswer: 45959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573198 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 1. Let b(w) = w**3 + w**2 - 5*w - 6. Let u(a) = b(a) + 3*m(a). Calculate u(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89969547 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-32)\/2)*798\/7*2\/2\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let m be (6\/4)\/(1\/f). Suppose 0 = -5*d - 0*v + m*v + 13, 0 = -3*v + 12. What is the greatest common divisor of 15 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d**3 - 11*d**3 + 19*d - d**3 - 2*d**2 to v*d + q*d**2 + c*d**3 + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -24 - (84 - 59) - (1 + -16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.836905 rounded to 3 decimal places?\nAnswer: -3.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47441?\nAnswer: 47441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 2}. What is prob of picking 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -11*x + 17. Solve 7*q = 5*q - 4*s - 20, -3*q + x*s = -20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91722960, 91722962, 91722966, 91722972?\n\"Answer: a**2 - a + 91722960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 43*g + 243. List the prime factors of l(24).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4143*z = 4145*z - 13, 5*z = 25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)*b**(-2\/27))**3 assuming b is positive.\nAnswer: b**(67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72385 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: Let n = 13244 + -6779. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104481188 and -0.18?\nAnswer: 104481188.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 363818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.65 + 0.7. Let t = p + -4.05. Let f = 3.1 - 3. What is the nearest to -2 in f, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*x + k + 32 = 0, 6783*k - 6788*k - 152 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -315 - -321. Suppose -3*y + 2032 = 2*s, 4*s - 2*y = -r*y + 4064. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186847 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-42)\/(-28))\/(471\/4). Let q = 479\/628 - g. Let o = 0.3 + -0.1. Which is greater: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -248*t - 1941179 + 1960027 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123, -506, -1159, -2082, -3275, -4738, -6471?\n\"Answer: -135*i**2 + 22*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14188 by 107.\nAnswer: -14188\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - -50) + 1 + 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 12:06 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15870 - 8461. Suppose -134572 - g = -21*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:58 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 53*y**4\/24 - 16*y**3 + 50*y**2. Find the first derivative of u(r) wrt r.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2 - 205*r - 3063. Calculate w(-11).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, -0.5, 25\/2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7887.845 and -0.079?\nAnswer: 7887.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + ((sqrt(136)*2 + sqrt(136))*1*1)\/((1*sqrt(648) - sqrt(648)) + sqrt(80)\/sqrt(90)))*6.\nAnswer: 48 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 5 = 3*x - 18*w, 4*w = -5*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 206*c - 85431. What is t(-207)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 136*-5\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b**3 - 2*b**2 - 24*b - 6. Is r(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 1\/2 (d) -32763.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413572249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jvvjtjvjjvjvjtj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 4. Let k(c) be the second derivative of c**3\/6 + c**2\/2 - 3*c. Determine -11*k(v) - 2*u(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from jeeeavajejjkjaaeej.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6. Let r be p(-2). Is (-332)\/(-2)*(1 + (-29)\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-12))\/3*37\/((-4662)\/432)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23443 - -554?\nAnswer: 24441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25114, -25110, -25104, -25096, -25086, -25074?\n\"Answer: n**2 + n - 25116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:22 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11434? (a) -2\/19 (b) 5 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 12 = -6*k, -k - 4*h + 9 - 17 = -6 - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21870157 and 50769.\nAnswer: 5641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32424 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11589*y - 23184. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121318131*b**5 + 276*b**2 - 52*b - 2294.\nAnswer: -7279087860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 t, and 1 r when four letters picked without replacement from {t: 1, r: 3, a: 13}?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*n + 301 - 901, -3*h + 131 = n. List the prime factors of (n\/8 - 3)*(-10)\/(-1).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3307\/1974 + 192\/(-112) and -13\/658?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 257 + 281. Suppose 5*c + 5*j + 11 = 1, 0 = -2*c + 2*j + 16. Suppose m - c*h = 2*m - 6, 4*h = m + 15. What is the nearest to -1\/2 in w, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(52) + 2 + sqrt(468) + -1)**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**8)**(-1\/20)*p**(-2\/69)*p*p**(3\/2)\/p)**35 assuming p is positive.\nAnswer: p**(17591\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 15*v**2\/4 + 39*v\/4 - 55\/4.\nAnswer: (v - 1)*(v + 5)*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -471 + 832. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7180752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-54)\/12 - 7)*-2 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (414\/(-918) - (-32)\/272)\/(0 + (-1)\/(-17))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -12 - 8. Suppose 10 = v*m - 6. Find the second derivative of -3*q - 2*q - 3*q**m + 9*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*1*sqrt(1584) - (-2*sqrt(1584))**2*6) + -4.\nAnswer: -38017 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*r**5 - 2*r**4 + 393*r**3 + r**2 + 406*r + 1 wrt r?\nAnswer: 900*r**2 - 48*r + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/132*22\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/4 + 17*d**4\/4.\nAnswer: -d**4*(d - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232 - -63. Let d = v + 41. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768769 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*g + 4*p, -g - 2*p + 3 = 2*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-2)\/11)\/2). Suppose -499*g - 362*g + 37884 = 0. What is the greatest common factor of x and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 79*p + 8892 = 0. Let v be (-1*3)\/(2\/6). Let j be 3000\/v*(p - -3). What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/10 + 3*f**4\/4 - f**3\/6 + 3*f**2 - 8*f. Let y(p) = 4*p**3 + 19*p**2 - 2*p + 13. What is 13*h(d) - 6*y(d)?\nAnswer: 2*d**3 + 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5228284588*p**3 + 5228284809*p**3 + 2*p - 2 - 2*p.\nAnswer: 221*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 3.23208026?\nAnswer: -4.23208026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-54))\/((-225)\/(-540)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*i - 2081 = -1646*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 69.6 (b) -2\/9 (c) -757 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 132187?\nAnswer: 132176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**2 + 2*n**2 + n**3 + 4*n**2 + n - n**3 - n + (0 + 0 + n)*(-4*n + 4*n + 5*n**2).\nAnswer: 5*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -126.6\nAnswer: 126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-512)\/(-3))\/((-7)\/21) - -2. Let p = -288 - t. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90, -104, -142, -216, -338, -520?\n\"Answer: -2*o**3 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.12, 0.5, -3, -27\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -452\/273611 or -1?\nAnswer: -452\/273611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-15 - -10) + -15 + 2 + (-2 - -9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718315 is divided by 623.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5676709 months in centuries?\nAnswer: 0.00213972575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 83526624*m\/5 - 872087114604672\/5.\nAnswer: -2*(m - 20881656)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*g + 40*g - 2*g**4 + 4*g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8) - 0\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3122 divided by 14.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Suppose 5*v - 2 = k + 31, y*v - 25 = 5*k. Suppose -o + v + 6 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -19.2. Let g = -0.38 - -0.08. Let z = 0.5 + 2.5. What is the biggest value in g, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 14 + 5 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (7 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 - -322.6. Is 0 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2852 and 56853907?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3c2b (base 13) to base 6\nAnswer: 104024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*q + 18, 0 = 3*q + 1 + 11. Let a be 6\/f*4\/12. Let r(v) be the third derivative of -v**5\/15 + v**4\/24 + v**3\/6 - 2*v**2. Give r(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - 36*a**2 + 83 as w*a**2 + t + y*a and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 9*o - 14. Let k be l(-4). Let x(g) = g**2 - 8*g + 9. Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.656 and 115747.\nAnswer: 75930.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*h**2*y**2 + 388179*h**2 + 7*h*y**2 + 94*h*y + 16*h - 31*y**2 + 2 wrt h?\nAnswer: 36*y**2 + 776358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2760996 and -107\/84.\nAnswer: 2760996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.50383ml to litres.\nAnswer: 0.00450383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 361998.\nAnswer: 11945934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -11. Let c = 25 + -24. What is the second biggest value in 4, u, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18450*i**3*z**2 - 2*i**3*z - 2*i**3 - 380*i**2 + 5*i wrt z?\nAnswer: 36900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222 (base 3) to base 5.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 4. Determine m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51810805 to 4 dps.\nAnswer: 0.5181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 717*p**2. Let o(r) = -r. Calculate u(o(a)).\nAnswer: 717*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 58*x**2\/3 + 544*x\/3 - 1664\/3.\nAnswer: 2*(x - 13)*(x - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(0 + (-16)\/26))\/((-290640)\/465024)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*c**4*n + 110*c**2*n - 2042*c*n wrt c.\nAnswer: 384*c**2*n + 220*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 t when three letters picked without replacement from {e: 1, y: 1, p: 2, t: 1, m: 1, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 2:13 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20024.358 times -4\nAnswer: -80097.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6252118 is divided by 1563023?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3886098 + 3.81304894\nAnswer: 3886101.81304894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-56)*-161526 + 5\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 5*p - 4. Let o be z(4). Let w = o - -4. Let b be (-6 - 71) + (-1 - w). Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 767, 1135, 2139, 4097, 7327?\n\"Answer: 53*s**3 - 3*s + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -5, -0.135 in decreasing order.\nAnswer: 0.02, -0.135, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 5*h**5 - 4*h**5 - 2*h**5 + 2*h**2 - 2*h**2 + h**5 - h**5 + 3*h**5 + (5*h**4 - h**4 - 3*h**4)*(0 + 0 - 2*h).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1917 and 8711146464?\nAnswer: 8711144547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + u - u**2 - u + (1 - 4 + 2)*(6*u**2 + 4*u**2 - 4*u**2) to the form y*u**2 + t + j*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 4. Let f be b(-5). Let m = 14 - f. Solve 0 = -x + m*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yts when three letters picked without replacement from sqsytst.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -157*u + 22*u**3 + 9*u**3 + 166*u - 9*u**2 - 4*u**3. Let d(x) = -x + 3. Let t be d(12). Let c(n) = -13*n**3 + 4*n**2 - 4*n. Give t*c(a) - 4*r(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 497 - 483. Suppose i = -4*v + 245, -i + r*v = 13*v - 260. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and -1987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {r: 5, d: 1, v: 5, s: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-10))\/((-3)\/10). Find the second derivative of 3*n - g*n - 17*n**5 + 12*n + 31*n**5 wrt n.\nAnswer: 280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10100 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 13*l - 6. Let n(m) = -12*m + 5. What is -5*b(a) - 6*n(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140061647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1099*j + 633*j + 632*j to b*j + q and give b.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b81b (base 13) to base 4.\nAnswer: 110023221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*m + 8\/15 + 2\/15*m**2.\nAnswer: 2*(m + 1)*(m + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o - 5*b + 65, o = 4*b + 8. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 4 in ascending order.\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16 and -813.635.\nAnswer: -813.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/55*(-59499)\/(-1202)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 + 1. Let c(z) = -9*z**3 + 8*z**2 - z - 7. Determine 2*c(y) + 14*j(y).\nAnswer: -4*y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikiqwwkwkkwswsww. What is prob of picking 1 q, 1 k, and 1 w?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 - -8.9. What is the nearest to 2 in 4, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c, 0 = 2*o - 6*c + 3*c - 23. Suppose -18 = m - o*m. Let w = 4.44 - -0.56. What is the nearest to 1\/2 in 1\/7, w, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 11416632.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69003 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269072 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693162 - 138309 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -498944 + 3008873\/6. Let x = 2556 - f. Calculate the common denominator of x and -8\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(432) - -3*sqrt(3)*-1.\nAnswer: 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(36) - sqrt(324))\/sqrt(2))\/(-1*sqrt(216)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 24. Let v = 50693\/11 - 4604. Calculate the common denominator of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(240 + 3)*(-56)\/16.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 9. Let h be w(9). Suppose h*t = -3*t + 75. Suppose -t = 2*i + 5*m - 8, -3*m = 15. Calculate the remainder when 7 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 16*v**2 + 88*v + 96.\nAnswer: -2*(v - 12)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 118338*n**2 - 3*n - 4. Let r be s(3). Let q = r + -1835031. Let p be (-3)\/(-3)*2 + q. What is p rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626166190 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 - -0.4. Let r = p + 1.72. What is r rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 8*o. Let f(c) = -11*c + 335. Determine f(a(b)).\nAnswer: -55*b**2 + 88*b + 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + m = 66, r - 24*m + 28*m - 33 = 0. Suppose -17*t - r = -2*j - 20*t, 0 = t - 5. Solve j*a + 3*x = 21, -a + 5*x - 5 = 2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300193*g**5 + 3*g**2 + 636*g + 29.\nAnswer: 18011580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l**3 + 169 - 28*l**3 + 56*l**3.\nAnswer: 65*l**3 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(1\/12). Let y be -1*3 + 9 + -7. Let l(x) = -x - 3. Let b be l(-6). Sort b, y, p in decreasing order.\nAnswer: p, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80939\/642 bigger than 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-135)*6 + 2\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/13 + 1710*q**2\/13 + 457104*q\/13 + 2788192 = 0.\nAnswer: -356, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.148185 micrometers to centimeters.\nAnswer: 0.0005148185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 262474 and 78343.\nAnswer: 41208418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 488.00000297 + -488. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 4, h: 2}. Give prob of sequence jhj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxguxauhx. What is prob of picking 1 a and 1 h?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 2, o: 3, q: 4}. Give prob of sequence oooy.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*p - 12, -4*b - 26 = -0*p - 5*p. Suppose 3*c = 6 + 12. Let u = c - b. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 85, 120, 179, 268, 393, 560, 775?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361438 and 541002?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-33)\/165 + (17262\/1485)\/(554\/9) and -39\/88.\nAnswer: 24376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273450 (base 9) to base 13\nAnswer: -5aa8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Let m be 4 + b\/(8\/20). Let d = 21 + -20.8. What is the nearest to -0.3 in d, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - -6 - (7 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 29, -2, -215 in increasing order.\nAnswer: -215, -2, 0.1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 3*n - 4. Let y be d(-3). Suppose 0*g + 5*g = y. What is the greatest common factor of 30 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7585 - 91021\/12. Let u = -2.03 - -0.03. Which is the closest to 2? (a) d (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -111, 6\/7, -0.2, 0.1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -12 + 9 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7770 divided by -7770?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 3:45 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11460 + -4210?\nAnswer: 6250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbpppppbpp. Give prob of picking 2 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2186706 - -0.84\nAnswer: -2186705.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-282)\/(-24) + (-3)\/(-12) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -1\/4, 1, 235?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68556)\/4925 - (4 + 196\/(-50)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*-1*sqrt(3969))\/((sqrt(847)*-3*3 + sqrt(847) - sqrt(847))*2))**2.\nAnswer: 175\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023, 2046, 3069, 4092?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 21054049.\nAnswer: -3\/21054049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 + g. Let z be m(-1). Suppose 7 = f - 1. Let h be 66\/(-4)*f\/(-6). Calculate the greatest common factor of z and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5643727 (base 8) to base 3.\nAnswer: -2212111220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 + (-1)\/(-3). Let w(t) = -t**3 - 17*t**2 + 6*t + 4. Let v be w(-18). Suppose 2*r - p*u - 64 = r, -4*u = 4*r - v. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, x: 7}. What is prob of sequence xssx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let o(t) = t**3 + 7*t**2 - t + 11. Let u(h) = o(h) - 5*z(h). What is the units digit of u(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*v + 3. Suppose 36 = 4*d - 4*z, 2*z = v*z + 4. What is the units digit of 3*(d + 3 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.5 take away 11?\nAnswer: 89.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-81)\/72 - 6\/16. Sort k, -35, 0.5 in descending order.\nAnswer: 0.5, k, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 4553*a**2 + 81891*a - 327492.\nAnswer: (a - 18194)*(a - 12)*(a - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900*w - 451*w - 449*w + 9*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5 = 2*r, 2*b - 2*r - 3 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 884, 883, 882, 881, 880?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.9 * 3990\nAnswer: -67431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -23. Let g = 12.9993 + i. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 141*s + 138.\nAnswer: 3*(s + 1)*(s + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12. Let y = -213.4 - -214. What is the nearest to x in -2\/9, 4\/5, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69418, -69420, -69430, -69454, -69498?\n\"Answer: -z**3 + 2*z**2 - z - 69418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.16 or -66598602?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116879.482 rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.192 - 0.048. Let v = 0.342 + c. Round v to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*9522.3.\nAnswer: -6665.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 8 + 0 + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*c = 669*c - 176 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.19769 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 928\/87 - (-13 + 22).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (6 + -4)*1\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/8))\/p)**(-15\/7)*(p*p**1)**(-2\/7) assuming p is positive.\nAnswer: p**(-17\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:51 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2483*k - 1295*k + 8089 - 1188*k - 2*k**2 in the form u + j*k + w*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8900394 take away 13.6?\nAnswer: -8900407.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1151559529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m - 38. Let n be a(-6). Let x be n*(-3 - (-60)\/8). Let c be (-2)\/(3*(-10)\/x). Solve -c*o + 6 = -0*h - 3*h, 6 = -h + 3*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2*3*115\/90)\/(688\/(-1032))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(12\/36*-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14036.9 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 2. Let k be -3*j*(-10)\/12. Let g(t) be the first derivative of t**2\/2 - 9*t + 1. Give g(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1064, -5, -1, 1\/62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3\/11 + 93900*f**2\/11 - 25640496*f\/11.\nAnswer: -6*f*(f - 15372)*(f - 278)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(75)*-1 + sqrt(75) + sqrt(3) - (-1 + sqrt(108)) - (sqrt(147) - sqrt(147)*-2 - (0 + -1 + sqrt(3))))*6.\nAnswer: -750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:05 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, -1\/4, 1\/4, -3, -0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 28*p**2 - 30*p + 16. Let c be n(26). Let w = -291 + c. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 88995*l + 50. Let v be x(10). What is v rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 23. Suppose 0 = 79*w - j*w + 75. Calculate the remainder when 134 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 263272146 and 1424.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 66*z - 25120 = 0. Suppose -7*n = -g - 6*n + 5030, g + n - z = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88.022 and 123.72066.\nAnswer: 211.74266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 28. Let m = 12 + n. Let b = 36 + -41. Sort 1, b, m in ascending order.\nAnswer: b, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33877200 to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 106240000 to the nearest 1000000.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14185 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218592 = 141*u - 159*u. List the prime factors of u.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(195\/2) - (-5029)\/705\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n + 1. Let r be (0 + 1)\/(-1)*0. Suppose r = 4*g - 0 + 4. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -521 in 5, -6, -0.85?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 608899.74512279.\nAnswer: 608899.77512279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3315?\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (12 - 7)) + 18 + (-21 - 13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 + 4415*t + 69373. Calculate c(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.048045ns in milliseconds?\nAnswer: 0.000005048045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20146*g**3*k**3 - 2*g**3*k**2 - 1284*g**2*k**2 - k**2 wrt k?\nAnswer: 120876*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 4*t - 20 = -98 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 4. Let q be h(-6). Let k be (-38001)\/(-2) + 1\/q. What is k rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4420 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -64*w - 2348. What is m(-39)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 18. Let m be n(-11). Is 14 a factor of (-1 + -82)\/(m + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1346849157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 109*f**3 + 4*f**2 - f + 2. Let s(d) = -325*d**3 - 11*d**2 + 3*d - 6. Calculate -4*s(z) - 11*y(z).\nAnswer: 101*z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001149 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w - 8. Let f(o) = 10*o + 9. Let l be (-5 - -3)\/(10\/35). Calculate l*j(d) - 6*f(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 107*y + 1 - 2*y.\nAnswer: -97*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2))\/(24\/(-192)). Let s be (-4)\/24*(5 + l). What is y in y**2 - 1\/2 + 0*y + 0*y**3 - s*y**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 - -258. What is the derivative of -63*h + 132*h + 55*h**j - 69*h - 34 wrt h?\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020197949747 rounded to six dps?\nAnswer: 0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -12\/7, -2, -1.\nAnswer: -2, -12\/7, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 913679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.87. Let m = -0.9 - -1. Is m less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 8*m + 146. Let u be y(-23). Solve u*a = 2448*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = 14 - 42 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6000*y**4 - 10930*y**3\/3 + 16508*y**2\/3 + 10930*y\/3 + 1492\/3 = 0.\nAnswer: -1, -2\/5, -373\/1800, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 10*b**2 - 11*b + 10. Let u be -1 + -2 - -3 - -22. Let d = 11 - u. What is the units digit of z(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2232.9 + -2233. What is the closest to d in -2, 205, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 45*n**2 + 492*n - 44. Calculate j(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 3*i. Suppose 14 = 4*k + i. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0029 + 3.2271. Let w = p - 4.23. What is the second biggest value in 0, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = 116*x - 299*x + 2432. Suppose 2*z - 95 = 5*t - 20, 4*z = 2*t + 158. Calculate the lowest common multiple of x and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 - 15*m**2 + 10*m = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 - -0.11. Let s = 0.4 + w. Let y = 484.6 + -484.2. Which is the closest to 0? (a) -0.2 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24457080 is divided by 42832.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 331, 631, 947, 1285, 1651, 2051?\nAnswer: 2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506*a**5 + 12*a**3*q + 154454*a*q wrt a.\nAnswer: -10120*a**3 + 72*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5451 and 5888?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*k**4 - 175*k**4 - k**2 + 0*k**3 + 5 - 2*k**3 + 12*k**3 in the form b*k + h*k**4 + g + c*k**3 + d*k**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-25))\/11*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 75 + 39 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/360 - k**5\/20 + k**4\/12 - k**2. Let y(c) be the second derivative of z(c). What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + (-4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -135*u**2\/2 + 297*u + 560. Find the first derivative of o(t) wrt t.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 6682, -2\/9, 7, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193250?\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 4. Let p(w) = 3*w + 2. Let i(r) = 6*b(r) - 13*p(r). Determine i(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -23. Suppose l = -f + 1. Let u = 41\/6 + f. What is the nearest to 1 in -0.3, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-6216)\/(-660) - (-2)\/(-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(30)\/sqrt(6) + (sqrt(60)\/sqrt(6))\/sqrt(2).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 32. Let v = 3.35 - -17.65. Let m = u + v. Which is the closest to 1? (a) 4 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*i - 298*i + 2990 = 7760 + 50106 for i.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-23 + -28 - -86).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16765893 is divided by 296.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmmvmmmmtmpttttj. Give prob of sequence pjv.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let n(s) = -4*s + 14. Determine -n(p) + 5*y(p).\nAnswer: 9*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -256*i**3 - 172*i wrt i.\nAnswer: -1536*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 26*d**2 + 27*d - 40. Let p be v(25). Solve -p*f - 84 = -44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 10*r**2 + 13*r - 55. Does 16 divide o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 494850*v**3 - 251417*v**2 wrt v?\nAnswer: 2969100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:14 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -14 + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (-4 + sqrt(475)*-2) - sqrt(475) - (-1*sqrt(475) + -4))**2.\nAnswer: 240*sqrt(19) + 4339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8894373 is divided by 4855.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(66)\/sqrt(3))\/sqrt(11)*5*-1 + 5)*-6.\nAnswer: -24 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 12*t - 6. What is k(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 + -197. Let t(f) = -f**2 + 21*f - 91. Let v be t(b). Calculate the greatest common factor of 34 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 3*h**3 + 2*h**5 + (1 + 0 - 2)*(-28*h**5 + 70*h**2 - 70*h**2).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 329. Let f(t) = -2*t**3 - 10*t**2 - 2*t - 10. Let k be f(-5). Is a(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:49 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycczzfcczy. What is prob of picking 2 y and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -129975000 rounded to the nearest one million?\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -75476*b - 981182. Calculate v(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 93?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -y, 4*d - 27546 + 27571 = -5*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 29 = -9*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2. Let i(x) = -x + 2*x - 2*x. Give i(s(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = m + 48. Let l be ((-126)\/m)\/7*-32. Let p = 120 - l. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 - 4*s - 2. Let x be j(-2). Let d be (-57)\/x + -1 + -2. Let v = 18.89 + -23.89. What is the smallest value in -58, d, v?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:14 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/102 and -13\/21?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.289 and 0.6.\nAnswer: 11.5734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/121288 and 15\/8248?\nAnswer: 125047928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + 5*n - 10, 0 = -4*b + 3*n - 21. Let m be (-15)\/(-1)*b\/(-9). Suppose m*i - 336 = -76. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 135. What is the remainder when 176 is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-216)\/(-14))\/((-147)\/(-4802)) and 14.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 + 1)) + (-53 + 20 - -32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -5, -3\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4714*z + 105186 = -139942 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 105.3. Let d = -26.7 - k. Which is the nearest to 1? (a) d (b) 3 (c) -3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 3*b**2 + 4*b - 4*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -52. Suppose -g*w + 4 = -8. What is k in 5\/2*k**4 + 8 + 10*k**3 + 1\/4*k**5 + 20*k + 20*k**w = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 335870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419, -423, -427?\n\"Answer: -4*g - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 - 382. Solve -y = -2*q + f, -3*q + 0 = 3*y + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 35\/3, 0.1951, 7\/2?\nAnswer: 0.1951","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313986, -627945, -941904, -1255863, -1569822?\nAnswer: -1883781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(684))**2 + 2.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 - 3*y**4\/4 - 6*y**3 - 29*y**2\/2 + 9306*y. Calculate p(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 - 356618*m**2 + 336737 with respect to m.\nAnswer: -3*m**2 - 713236*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:51 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/15)\/(-4))\/(3\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45956 or 45954?\nAnswer: 45956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202147365 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose -4 = 3*s + r*g, 9*s - 4*s + 18 = -g. Let t be (-1185)\/(-6) - 2\/s. What is the highest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/14, 0.1, -1\/5, 3\/8, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(33))\/((sqrt(396) - (sqrt(396) + (sqrt(396) - 2*sqrt(396)))) + sqrt(396)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.703 rounded to one dp?\nAnswer: -68.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 31*b - 3111603 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.98 - 4.8. Let s = z - 0.180015. What is s rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 7855956?\nAnswer: 7855956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*r**2 + 528*r**2 - 162*r**2 - 165*r**2 - 7*r**3 + 13*r - 4*r.\nAnswer: -7*r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 827478967 to the nearest one million.\nAnswer: 827000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3 + f - 2. Let k be a(-1). Is (-2)\/(-8) - (-151)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q**3)*(4*q**2 - 6*q**2 + 3*q**2) + (-3*q**2 - q**2 - 3*q**2)*(0*q**3 + 3*q**3 - q**3) + (-q**2 - 3*q**2 + 2*q**2)*(q**3 - 3*q**3 + 4*q**3).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1\/7*a**3 - 4\/7*a + 0 + 4\/7*a**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/11, 1\/2, 117 in descending order.\nAnswer: 117, 1\/2, -19\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 50*c + 22070. Calculate j(-392).\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17745 divided by 36?\nAnswer: -5915\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -78*-489096\nAnswer: 38149488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1.4, -31, -6962?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228119337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 551762 at least as big as 551762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*l + 25, 2*l - 1 - 9 = -5*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i + 3*i - 864. What is the greatest common divisor of i and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 692?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 2*p + 46, 5*f - 3*p - 86 = 0. What is the remainder when 72 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505759, -1011520, -1517281, -2023042?\nAnswer: -2528803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.98 - -1.67. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256 or -2?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.445859 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39890290?\nAnswer: 2, 5, 11, 137, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678151421.\nAnswer: 3, 19, 1697, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4335 = 3*x, -5*x - 22 = -2. Suppose -3*p + 49*i - 51*i = -b, 2*p + 5*i - 957 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-7\/4)*((v\/(v\/v**(-3)))\/v*v*v*v)**38 assuming v is positive.\nAnswer: v**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-279)\/(-6))\/(-31))\/(13\/(156\/18))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - 8*g**3\/3 + 9*g**2\/2 - g + 1. Let o(z) = z**2 - 2*z - 1. Let c be o(4). Is 7 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/11 - 43\/66. Let u = -2.79 + -0.15. Let p = u + -0.06. Which is the nearest to p? (a) 2\/9 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 24870\/193, 0.1, 5, -2 in increasing order.\nAnswer: -2, -0.5, 0.1, 5, 24870\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/24*(-14 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8319 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2225 = -420*v - 10277 - 5388 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 6*j**2 + j + 6. Determine n(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(10*(-3)\/200)\/((-4)\/((-384)\/(-63))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/58 (b) 37\/4 (c) 3 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 68 = 5*i, 5*d - 2178*i + 2182*i = 104. Solve -d*o + 11*o = 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4.1. Suppose 16 = -37*g + 38*g. Let n be 6\/g - 1419\/264. What is the smallest value in 0, n, -4, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 10068*s\/5 - 237348.\nAnswer: 3*(s - 3470)*(s + 114)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + 0*y + 4*y)*(-2*y + 1 - 1)*(16*y - 69 + 69) - y**3 - 5*y**3 + y**3)*(0 + 2 - 5).\nAnswer: 399*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 - 10 = 5*n, 5*k - 20 = -5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2114*f. Let s(i) = -459446*i**2. Give n(s(y)).\nAnswer: -971268844*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/35)*u**21*(u\/u**(-2\/21))**(-2\/29) assuming u is positive.\nAnswer: u**(9127\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 4. Let o(x) = -6*x**2 + x - 5. Let k(n) = -7*c(n) - 6*o(n). Suppose -v + 27 = -5*z, -5*v + 38 = 2*z + 11. Give k(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-120)*(-8)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1150 - 976. Suppose -i = -28*m + 50. Let r(y) = 2*y**2 - 12*y + 4. Determine r(m).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15688252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2926510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*m = 2*c + 15, 2*c = 4*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1274 by 2.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56065574 is divided by 16766.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4514, -4830, -5156, -5498, -5862, -6254, -6680?\n\"Answer: -x**3 + x**2 - 312*x - 4202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 252 = -8*h - 17*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361198 is divided by 410?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -46*q + 2*q**2 - 1 - 16\/3*q**3. Differentiate w(i) wrt i.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -3*r, -r - i + 0*i + 4 = 0. Suppose r*b = -b. Suppose -3*s = 9, b = -6*u + u - 3*s + 26. Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6742 - -15560. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10246479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -4472003.\nAnswer: 9\/4472003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24621 (base 10) in base 3?\nAnswer: 1020202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-nine halves of a decade?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 d when three letters picked without replacement from {c: 1, k: 1, d: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 99 - 13. Let v = t + -5. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18990 and 118.\nAnswer: -18872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6503 and -2.\nAnswer: -1.3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112170 and 370161?\nAnswer: 3701610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493706641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 19, 37, 55, 73, 91?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*m + 4*m**4 + 241*m**3 - 698*m**3 + 234*m**3 + 2*m**2 + 235*m**3 to q*m + c + p*m**3 + u*m**2 + l*m**4 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l. Let r(m) be the second derivative of m**7\/630 - m**4\/12 + 7*m**3\/6 - m + 1. Let t(q) be the third derivative of r(q). Calculate f(t(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22104, -22844, -24076, -25800, -28016?\nAnswer: -30724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w - 9 = 0, u - 3*w = 281. Round u to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 5*m**2 - 6*m + 6. Let o be c(6). Let d = o + -5. Let g = -5\/6 + 89\/114. Is d bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012142929 rounded to 7 dps?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5) - 483\/690\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47526 and 8.\nAnswer: 190104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(-15) - ((-4)\/6 - 3822\/18). Solve -62*w - o = -27*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78194158.\nAnswer: 2, 7, 19, 23, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4081 - -795797\/195. Suppose -2*f + 0 - 42 = 2*k, -k + 5*f = 3. Let b(u) = -u - 19. Let o be b(k). Which is bigger: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 40 = -8*w + 50 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294996.\nAnswer: 2, 421, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 565.1839 + -0.0839. Let d = b - 617. Let w = 52 + d. Which is greater: w or -44?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 2*d)*(0 - 5 + 1 - 4 + 0 + 6 + (3 + 1 - 5)*(3 - 4 + 2) - 3 + 4 - 3)*(-5 + 12 - 2).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + r**3 + 0*r + 5*r - 2*r**3 to the form o*r**3 + c*r**2 + q + b*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -106\/13. Let p be (-6)\/(18*(-13)\/(-195)). Let d = 0.188 + 0.042. What is the third smallest value in p, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + (-975)\/(-52). Let h = 354 + d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 169, 370, 703, 1204, 1909, 2854, 4075?\nAnswer: 5608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/s**(1\/13)*s*s*s))\/(s\/s**(4\/3)))**(-33)*((s*s**(-6)\/s)\/(s\/s**6))\/(s**5*s*s**1*s) assuming s is positive.\nAnswer: s**(1423\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64\/21 + -241\/63. Suppose 4*z - 2*j + 7062 = -7*j, 4*z + 7064 = -4*j. Let h = z - -19483\/11. What is the common denominator of y and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206611.\nAnswer: 307, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14424*z = -14421*z - 2*k + 4, 5*z + k + 11 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.8292 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 5)*9\/(-2). Let r = -3 + h. Solve 0 = -3*w + r, -w = b - 0 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14874288379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1649 and 23377?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57237120 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 5. Let u be f(-8). Suppose u*o - 1485 = 2112. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a - 3*a + (-3 + 1 + 0)*(-a + 2*a - 3*a) + 62*a + 21*a - 6*a.\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from vccccccvc?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(1 + 3 - 1)*(-5*v + 5*v - v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s - 3. Suppose -10*p + 20 = -14*p. Let i be f(p). Let l = -88 + i. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/20 + 7*r**3\/6 + 7*r**2. Differentiate w(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -630\/2643871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5322 - -7793. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1358 (base 9) to base 13\nAnswer: 60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -826, -828, -830, -832?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3))**(-46)*f*f**(-3)*f*f**(5\/6)*f)**(2\/27))**31 assuming f is positive.\nAnswer: f**(-5549\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.057 + -3.217. Let p = j - -132.16. Let z = -128.999933 + p. What is z rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.1, -4\/7, -12827, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 31*o + 224. Let n be a(-36). Which is smaller: n or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 172, 244, 370, 556, 808, 1132, 1534?\n\"Answer: l**3 + 21*l**2 + 2*l + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, b: 10}. Give prob of sequence kbkb.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -3*c - 129. Let z = -24 + c. List the prime factors of 195\/(-52)*z\/2*-8.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*h**3*n**3 - 2*h*n**3 + 153*h*n**2 wrt h?\nAnswer: 1308*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1 - (-5)\/(15\/(-24))). Suppose -x - 164 = -3*q, 2*q - 67 = -5*x + u. Let s = 55 - q. Let p(r) = 8*r - 1. Give p(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371216757?\nAnswer: 3, 23, 233911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -23, 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v + 29. Let u be z(11). Let i be (1\/2)\/((-1)\/20). What is the units digit of (u\/(-5))\/((-4)\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24\/133 + -983\/133. Calculate the common denominator of l and 3\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jebujheb. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 105 = 13*r. Suppose -4 = -5*n + 6. Let b(y) = 2*y + r*y - y**n - 2*y - 8. What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 103616*v\/13 + 207240\/13.\nAnswer: -2*(v - 51810)*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222.976 + -223. Let n = 0.024 + s. Let h = 137 + -551\/4. Which is the smallest value? (a) -2 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20108 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82636693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 2*z. Let y be (-4 - -1)\/((-5)\/35). Let g = 35 - y. Solve -h - z*w + 1 - 18 = 0, -g = -2*h + 2*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119399616 divided by 6?\nAnswer: 19899936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -276*h - 6763. Determine c(-23).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 0 - sqrt(288))*5*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 5, d: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 95483?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4235592 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -10)*156\/60. Let p = 96 - g. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 622175*d. Let n(i) = -i**2. Determine n(q(g)).\nAnswer: -387101730625*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 16*j**2\/11 + 698*j\/11 + 1950\/11 = 0.\nAnswer: -325\/8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 2*w + 1. Let b(l) = -454*l**3 - 18*l + 10. Determine -b(d) + 8*p(d).\nAnswer: 462*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 13*c + 220. Let p be (-282)\/(-54) + -5 + 8\/c. Solve p = 4*d - 2*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 152?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 11102.7 (c) 1 (d) -0.4 (e) 2\/23 (f) -6\/11 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 2*p**2 + 1. Let d be c(-2). Let z = 17 - d. Solve -z = -m - 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -5*p**3\/6 + p. Let z(r) = -9*r - 5. Let d(t) = -14*t - 8. Let m(a) = 5*d(a) - 8*z(a). What is x(m(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -549112, -5, 5 in ascending order.\nAnswer: -549112, -5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/1183 - -55623\/26026. Let b(w) = -12*w - 1. Let k be b(2). Calculate the common denominator of i and k*(-1 + (-12)\/(-16)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -24, -22, -18?\n\"Answer: j**2 - 3*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**3 + 95*f**2 - 30*f + 82. What is a(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1555*n*q**3*u**2 - n*q**3*u + 2*n*q**2*u + 2*n*u - 2*q**2*u - 106*u**2 wrt q.\nAnswer: 9330*n*u**2 - 6*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32130367, 32130371, 32130375?\n\"Answer: 4*o + 32130363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 237 - 183 + 420.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36825 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 > -593205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -3313102666?\nAnswer: -3313102666.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5300791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2698.9 and 6?\nAnswer: -16193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let v(b) = -2*b**2 + 2*b - 8. Let y be v(6). Let m = y - -338\/5. What is the third smallest value in 2, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 6*f**3 + 2*f**3)*(-2 + 0 + 0)*(-5 + 3 - 1) + (-4*f**2 + 3*f**2 + 3*f**2)*(-60*f - 166 + 166).\nAnswer: -126*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 5*g, -3*g - 4*q = g - 8. Suppose -n - g = -4. Suppose 2*d + n*d + 67 = 5*a, 0 = -5*a - d + 52. What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**1*(g**(-2\/5)\/g)**(-44))**(-28) assuming g is positive.\nAnswer: g**(-8344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -431*x**3 + 861*x**3 + 275 + 95*x - 429*x**3 wrt x?\nAnswer: 3*x**2 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/7 - 22*w**3\/7 - 12*w**2 = 0?\nAnswer: -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let h = -14.16 + 0.16. Let m = h - -14. What is the nearest to m in -1\/10, 2, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1690, 1314, 686, -194, -1326?\n\"Answer: -126*k**2 + 2*k + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 19 = -7. Let z be 60\/(-8) - m\/4. Which is the third smallest value? (a) z (b) 0.3 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -23.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(4\/((-16)\/3)) - 74. Let a = f - -120. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o**2 - 4*o + 6. Let g(d) = -18*d**2 - 3*d + 5. Give 6*g(b) - 5*u(b).\nAnswer: -13*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, t: 2, l: 4, s: 6, q: 3}. Give prob of sequence qls.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14)\/n**3)\/((n**(-7)\/n)\/n**(2\/9)) assuming n is positive.\nAnswer: n**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -6?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628 + w**2 - 49*w - 628.\nAnswer: w**2 - 49*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n)**(-5\/16)\/(n*n\/n**(5\/2)*n*(n*(n\/n**3)\/n*n)\/n) assuming n is positive.\nAnswer: n**(193\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + f = 136, 7 = -4*g - 3*f - 113. Let r be 53\/11 - 6\/g. Solve -h + 12 = 4*v, 3 = r*v + 2*h - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12221 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:57 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:09 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 776\/21*l + 448\/3 - 2\/21*l**2 = 0.\nAnswer: -4, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*z = -8*s, -5*z - 4 = 1. Which is the third smallest value? (a) 12\/7 (b) 0.02 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2259, -5, 7.\nAnswer: -2259, -5, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - y + 6 = y, -5*h - 9 = -2*y. Let k be (-3 - h)*(-2)\/(-2). Solve k*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -532*(-3)\/(-738)*-3. Let x = 8765\/738 - s. Calculate the common denominator of -25\/102 and x.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287920957 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 350? (a) -5\/9 (b) 2\/9 (c) -0.5 (d) -2\/19 (e) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18349.3 + -18350. Which is smaller: t or 1.374?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -645, 2\/21, 75, 3\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4\/2 - 258*j**3 + 14913*j**2 - 328434*j + 4861587\/2 = 0.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p\/(p*p**(-2\/3))*(p\/(p*(p**(2\/9)*p)\/p*p)*p)**(2\/125))**(12\/11) assuming p is positive.\nAnswer: p**(20984\/4125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 213645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*m - 88*m + 2057 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51\/102)\/(-1*2\/12). Let t be 1\/(-2)*(6 + -3)\/f. Suppose 3 = -5*w - 5*y - 2, 5*w + 4*y + 7 = 0. What is the closest to t in 5, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1\/3, 147, 0, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 78 = -12 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 + 293\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 21 = 3*j, j + 3*i + 10 = 5*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -13*c**6\/15 + 11*c**4\/12 + 9*c**3\/2 - c**2 + 210*c. What is the second derivative of p(d) wrt d?\nAnswer: -312*d**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - z**2 - 4*z**2 - z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 23 = -2*n + 26, 3*n - 710*g - 77 = -709*g for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 - 458\/3. Let b = 1\/183 + 121\/183. Suppose -8\/3*n**2 - 10\/3*n - b*n**3 - y = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -129. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 10:48 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 9*j - 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11488 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 1290\/315 + 12.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 (base 9) in base 3?\nAnswer: 10011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -72, 0.5, -11.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -36, -45, -56, -69, -84?\n\"Answer: -w**2 - 4*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/60 - 5*o**2. Let a(p) = p + 1. Let h(r) = -21*r - 24. Let v(m) = 72*a(m) + 3*h(m). What is v(g(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and -1007.\nAnswer: -1007.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 17*t + 1. Give g(-13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 + -287 - (2 + -9 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 1, d: 1, g: 2, h: 1, k: 1}. What is prob of sequence kdb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 - 3. Suppose 2*z - 9 = -1. Which is the second smallest value? (a) -4 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a = -52*a + 2*d - 5967, a - d - 5982 = 0. What are the prime factors of a?\nAnswer: 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -75999.\nAnswer: 1\/10857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439279.\nAnswer: 439279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-21))\/(13\/273)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4182, 4165, 4136, 4089, 4018?\n\"Answer: -p**3 - 10*p + 4193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942656 is divided by 980884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4773973043 to the nearest integer?\nAnswer: 69094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 280. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**3\/2 + 2*b. Let x(d) = -d + 1. Let v(a) = -6*a + 8. Let p(c) = v(c) - 8*x(c). Give r(p(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 8682113\nAnswer: 1\/8682113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 29. Calculate the remainder when 55 is divided by d(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -9*j**2\/2 - 5*j - 2. Let i = 163 - 165. Let u be g(i). Solve -u = 2*l + 3*t, 4*t + 1 = -4*l - 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let k be (-3 - y)*4\/2. Suppose 4*j + k*g = 3*j + 13, 3*j + 2*g = 27. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6438 is divided by 380.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**4\/4 + 26*n**3\/3 - 12*n**2 - 25*n + 1. Let m be 96\/(-72)*75\/(-4). Let b be w(m). Solve b = -3*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(-13))*u))**(-39\/4)\/((u*u\/(u**2\/u)*u*u)\/u**14) assuming u is positive.\nAnswer: u**(-463\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 579139.1 centuries?\nAnswer: 57913.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 0, -3*o - 4*d = -5*d + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:57 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k**3 - 7*k**3 + k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4335?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 5, 0 in increasing order.\nAnswer: -59, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/3 - z**2\/2 - z - 2445. Let f(v) = 7*v + 3. Give -f(u) - 3*j(u).\nAnswer: 3*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 12:47 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 42103 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Let m = g - 2.7. Let v = -0.4 - -2.4. What is the second biggest value in m, -3, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2695055, -5390105, -8085155, -10780205, -13475255, -16170305?\n\"Answer: -2695050*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 29*o - 492. What is g(39)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5234251835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 32. Let k be (0 + 6)\/(-3) - -10. Suppose y = -y - k, u + 2*y = 23. Calculate the remainder when u is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 2*i + 484. Let d(r) = -r**3 - 3*r**2 - 2*r + 484. Calculate -2*d(w) + 3*q(w).\nAnswer: 2*w**3 - 2*w + 484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59515, -119029, -178543, -238057, -297571, -357085?\n\"Answer: -59514*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 937139816 to the power of 1\/3, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 57*c + 745. Let p be i(-20). Solve -7*w = -9*w + 2*f - 6, -3*w - p*f = 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 times 3.6\nAnswer: -363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17130019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -39226.554.\nAnswer: -23535.9324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.347 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*14542\nAnswer: -2908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503761 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 5*w + 2 - 6*w + 1 + w**2. Find the first derivative of d(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.08, 2\/55, 2, 3, -12?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 53. Let v be (3 - 35\/10)*(-2 + p). Are v and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637, 590, 537, 478?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 2. Let i = 3349\/3 - 1116. Put -1\/3, i, a, -3 in decreasing order.\nAnswer: i, -1\/3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5907*i - 2929912. Give r(-496).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/30 - 176\/10. What are the prime factors of 11 + (-3 - l\/3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-36)\/8)\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from aaaqtaqjaattaatajaa.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*n - 68*n - 76*n - 74*n to the form f + i*n and give i.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -416 - -213. Let m = 2641\/13 + s. Factor 0 - 4\/13*k**2 - m*k**3 + 0*k.\nAnswer: -2*k**2*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:31 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a (base 11) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.794.\nAnswer: -0.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 - -174. Let p = 66.56 + f. What is p rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4116 divided by -1372.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1141 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 2*l**3 - 3*l**3 + 6*l**3 - 7*l**2. Suppose 21*y - 246 = -15. Suppose 0 = 3*j + h - 13, -h - y = -0*j - j. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 88 = -b. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15037515 rounded to 3 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14689 divided by -1?\nAnswer: 14689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -19. Let m = -0.44 + 0.04. What is the nearest to -0.3 in m, t, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 0*a**2 + 2*a**2 + 0*a**2 - 1. Let s be z(-3). Let x = s - 15. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 285.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 - 22 = 0. Suppose z*u - 7*u = -474. Let v = u + 99. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10795 and 62258575.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24362.01 + 24362. Let g be ((-4)\/23)\/2*1. Is f != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y)*(-5 + 0 + 0)*(72*y**4 - 68*y**4 + 171*y**4).\nAnswer: -875*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 58*t**7\/7 + 19*t**3\/3 - t**2 + 19. Find the third derivative of c(z) wrt z.\nAnswer: 6960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -4, -197, -59, -1\/4, 23 in descending order.\nAnswer: 23, 9, 1, -1\/4, -4, -59, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 33 = -n, 0 = -f + 5*n - 32. Let z(u) = -7*u - 8. What is the tens digit of z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317339 is divided by 6897?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229190584 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 70 = -2*x - 122, -3*x - 3 = 0. What is the remainder when 71 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:04 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - y**2 - 2*y + 1 - 3. Let f(v) be the first derivative of v**3\/3 + 5*v**2\/2 + 3*v + 17. Suppose w + 20 = 5*w. Determine w*s(n) + 3*f(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*n = -79*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l - a - 3, -a = -l - 7. Let w = -5 - l. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.3. Let b = -41 - -40.3. Let r = b - g. What is the closest to 1 in 1, r, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:54 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39239 = -15*f + 187636. What is the highest common divisor of 55 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(700) + 4 + 5)*3 + (-3*(sqrt(63)*1 - sqrt(63)))\/(sqrt(27)\/sqrt(3)*3)).\nAnswer: 162 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.0706251 to three decimal places.\nAnswer: 56.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8610*y + 8562*y - 912 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-1455)*881\/(-7). Let y = 15\/97 + f. Let o = -9\/7 - y. What is the second smallest value in -1\/4, o, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 36 = -3*z, 0*z + 5*z = 5. Let d = l - 8. Solve -d*i + 6*i = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5881406 to the nearest integer?\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*s = 2 - 0, -3*r + 4*s + 24 = 0. What is the first derivative of z**3 - z**3 + 3*z**3 + 9 + r*z**3 wrt z?\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.353 - -0.169. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4\/3, 3, -2\/5, 54?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1944419801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14794, -29582, -44370, -59158, -73946?\nAnswer: -88734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*u + 84*u - 7, -5*w + 4*u - 28 = 0. Solve 5*z - 5*d - 5 = w, -4*d - 6 + 2 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:00 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.376 (c) -934\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 3, 0 = 5*l + 4*d + 3. Let i(v) = v**3 + 5*v**2 + 3*v - 4. Give i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 4*d - 4. Let i be n(-4). Let t = -54 - -58. What is the greatest common divisor of t and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/8)*x*x*x*x\/(x*x*x\/x**7)*x**(1\/11)*x\/(x\/x**(1\/7)) assuming x is positive.\nAnswer: x**(5149\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-51) + 6280\/(-4760).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43580731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*c + 1109 + 761 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 237586 divided by 118793\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.4 - -58. Which is the smallest value? (a) 4 (b) 50 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*y**3 - 51*y**3 - 48*y**3 - 5*y.\nAnswer: -99*y**3 - 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24067 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1449485384 to the nearest integer?\nAnswer: 38072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (534\/178 - ((-7)\/(-2) - 0))*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 4*t**2 + 10*t**3 + 5*t**2 to g*t**2 + z*t**3 + p + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0 (c) 2\/9 (d) -0.272 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 20*j**2 - 35*j - 44. Give o(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2644 = -53*v - 47. What is the remainder when v is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**2 + 16 + 1\/3*n**3 + 3*n. Suppose 2*k + 7*d = 12*d + 31, 22 = -k - 5*d. Give h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5950 to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 765 = b + 775, 4*k - 4471 + 4472 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = -5*s, 4*l + 14 = 7*l - s. Suppose 2*p = 5*y + 53, -17*p - l*y + 92 = -13*p. What is the highest common factor of 192 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 6. Let m be c(0). Let r = -162 + 159. Sort 5, m, r, -5.\nAnswer: -5, r, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjsjjjajyssssyss. Give prob of picking 4 j.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 + 2*y + 4. Let o be t(-5). Suppose 2*c - 5*f - o = 0, c + 3*c + 3*f = -1. Suppose 0 = 3*w - 2 - 1. Is c not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1585 or 1744?\nAnswer: 1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2550924 and 58\/3603?\nAnswer: 2550924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*b + 101*b = -4*q + 2, -4*b - q = -9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:40 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10010101000100101001 (base 2) to base 5\nAnswer: 124014401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:50 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 1. Let q(r) be the third derivative of r**4\/8 - r**3\/3 + 13*r**2. Let b(k) = 3*g(k) - 4*q(k). Give b(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4483589786.457 plus -0.4?\nAnswer: -4483589786.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2055 and 74665.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91528284.3 rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/22 and 99\/2830.\nAnswer: 31130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.87 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1002 (b) 0.5 (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 16. Let w(r) = -5*r**2 - 17*r + 18. Let h be w(-4). Give n(h).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1418*d**5 + 7*d**3 - 179*d + 322.\nAnswer: 28360*d**3 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7216035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22506*k + 22502*k + 119176. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-76)\/11913)*220\/4180.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1021 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 + 10?\nAnswer: -1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*v + 91606 - 5143303, 4*h - v = 6735539. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010210 + 100112202?\nAnswer: 101200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12*130\/(-1600))\/(-27*(-58)\/2610)\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62481.02 tonnes to milligrams.\nAnswer: 62481020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*q + 2 = 2*y - 195*q, 3*q = -5*y - 60 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 - 90*h**2 + 283*h + 372 = 0 for h.\nAnswer: -93, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33)\/(-1)*(-1 + 2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/2 and 5\/894826.\nAnswer: 894826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 9*l**2 + 6*l + 19. Let p be n(8). Let m = 13\/12 + -3\/4. Solve -m + 7\/3*z**4 - 5\/3*z + 2\/3*z**p - 2*z**2 + z**5 = 0 for z.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1290 divided by 43\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12899557?\nAnswer: 11, 1172687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*s + 11336 = -122*s - 304*s for s.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 4. Give c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.67 - 0.67027. Round k to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 140960756 - 70480379 - 70480377.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 14*g**2 - 52*g + 44. Give b(17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5*i*i**(1\/13)*i assuming i is positive.\nAnswer: i**(92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 4 + x**3 - 1302854*x**2 + 1302853*x**2 + 17*x + 21*x**4 - 5 to b*x**4 + m*x**2 + w*x**3 + y + s*x and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, 145, 214, 283, 352, 421?\n\"Answer: 69*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.7, 4\/101, -15, -12, -0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 12. Let h = -12 + 10. Let n be 31 + h\/(-2) + -4. Calculate the highest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*y - 104*y - 3003 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwwwppwpwwwwpwpwwp. What is prob of sequence pp?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -56\/9, 32\/39, -19?\nAnswer: 32\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-114 - -115 - (-1 + 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4996, 19852, 44614, 79282, 123856, 178336?\nAnswer: 242722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*1*5 - sqrt(1764))\/((sqrt(144) - sqrt(144)*1*-3)\/sqrt(12)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173399478 to the power of 1\/3, to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18431721 - 88*m - 23*m**2 + 18431721 to k + f*m**2 + i*m and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 4. Let i(s) = -s + 5. Let x(h) = -3*d(h) - 2*i(h). Suppose 5*u + 0 = 10. Let j be x(u). Solve j*k + 25 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6137124 (base 8) to base 5.\nAnswer: -403342323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -25*i**3 - 6*i**2. Let w(t) = t**3 + t**2. What is l(f) + 6*w(f)?\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-10) + 4\/(-10). Let d be -38*1\/v*2. Is d\/3*6\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2066971*j + 2372514 wrt j?\nAnswer: -2066971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027889 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let h(w) = 319310*w**2 + 1. Give h(j(a)).\nAnswer: 319310*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -3\/7 (b) -1\/4 (c) -0.2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h - 84. Determine l(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.2, -1145.4, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*n - 21. Let c be (126\/n)\/9 - 2. Factor c*b**2 - 3\/2*b**4 + 3\/2*b**3 - 3\/2*b**5 + 0 + 0*b.\nAnswer: -3*b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 27. Let h be v(-12). Solve 2*o = u + 3, 0 = -2*u - u + h*o - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 - -284. Calculate the smallest common multiple of r and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - t + 0*t = -20, -3*t + 20 = 5*r. Suppose 0 = -z + 8 - 7. Solve r*x - 7 = z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134891*b**3*l**3*w**3 - 76*b**2*l**3*w - 2*b*l*w - 6*l**3 + 3*l*w**3 wrt b?\nAnswer: -809346*l**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:25 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 6*d - x + 44, -196382 + 196396 = -d + x for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-506)\/(-115))*6\/20*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 9*i + 6. Let m be t(4). Sort -0.3, m, -4 in increasing order.\nAnswer: -4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-13 + -4 + -7 + 11)) + 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-5 - 3 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1555 and 8 + (-5)\/(-2)*(378\/15)\/(-9)?\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 35 - 57)*(z**5 + 4*z**5 - 4*z**5).\nAnswer: -96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2648.07683 rounded to 1 dp?\nAnswer: -2648.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168352391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741 + i + 0*i + 741.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*7\/(98\/7))\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 14) to base 8.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -10, -0.14, 2 in ascending order.\nAnswer: -11, -10, -0.14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 - 120. Let v be g(0). Round v to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 9*h - 501. Give p(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -6 - ((-534)\/(-81) + 48\/(-72))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25724 is divided by 2306?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 15*c - 19*c. Let o be -1*(5 - (c + 5)). Solve -4*z - 30 + o = 2*l, -5*z = -3*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 662830 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/702)\/(10\/(-8)*9\/(-135)*6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:07 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/6, 9, -423?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 4*v**4)*(7 + 5 - 11)*(-4 + 2*v + 4).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 105*r**2 - 5*r. What is k(5)?\nAnswer: 2600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*r**3 - r**2 + 4*r**2 - 67*r**3)*(-2*r**2 - 2*r + 2*r).\nAnswer: -14*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2 = 3*a, 4*a + 3*h = -7*a - 59 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19695 in 0, 2, 1\/56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 16) in base 11?\nAnswer: -65a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 802\/(-44) - -9 - -9. Put -4, 1\/2, y in decreasing order.\nAnswer: 1\/2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52 + 4\/(-2))\/(-5 - 170\/(-35)). Suppose -9*f - 135 = -14*f. Calculate the highest common divisor of f and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -36. Suppose 1 = d*i - 5. Let v be 3*i\/((-81)\/2). What is the smallest value in -3, v, -10, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from qvnnnvvqvqvknnvnjkv.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 + 123. Let t = 102 + a. Solve -2 + 22 = -4*j + 3*l, t = 5*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (343\/329 - 0). Let v be (9\/(-30))\/((-4)\/40). Which is the second biggest value? (a) 0.3 (b) -2\/13 (c) l (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/((-812)\/637)*12\/(-21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.169 + 0.439. Let n = 5.5 - 5. Which is the smallest value? (a) n (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7161383 and 2458.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**3 - 11*j**3 - 13*j**3 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 - 89. Suppose 0 = 5*c + k - 28. Let j(w) = -3*w - 6. Does 8 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (7\/(-2) + 2))*-818. Suppose -4*a - 31 = -5*d - 3*a, 2*a + 2 = 0. Let n = d - u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330838539414296602324530928067\/27315723765 + -133228171615216311090\/11. Let v = j + -110634\/29473. Let z = v + 1\/2055. Is -1 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 - -146.0000252. What is o rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12222101020 - 31?\nAnswer: -12222101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150306, 147316, 144328, 141342, 138358, 135376, 132396?\nAnswer: 129418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -56*d**2 + 108*d**2 - 53*d**2 + 2*d + 248. Let n be j(0). What is the highest common factor of 62 and n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4174 divided by 16752\nAnswer: -2087\/8376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w + 940 = -627 - 409 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -65*g + 67. Suppose -c + 2*c - 3*w - 8 = 0, -30 = 5*c - w. What is the remainder when v(c) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162214547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6746, 6739, 6732, 6725?\nAnswer: 6718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3992, 3991, 3990?\n\"Answer: -k + 3993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 9*t**3\/2 - 82*t - 1. Let o(c) = c**2. Calculate o(u(x)).\nAnswer: 729*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 + -355 - (9 - 15 - (-7 - 4) - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**2 + h - 7. Let k be u(-6). Suppose -i + k = 8335. Round i to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 15*b - 11. Let x be w(7). Are 188 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -5.49 in increasing order.\nAnswer: -5.49, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/5 - 116*w**4 + 1597*w**3 - 6922*w**2 + 9516*w - 20376\/5 = 0. Calculate w.\nAnswer: 1, 6, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3179 + 3179. Factor 0*u - 4\/7*u**4 + 0 + f*u**2 - 4\/7*u**3.\nAnswer: -4*u**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5998674.\nAnswer: 2, 3, 11, 97, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(133)\/(sqrt(56)\/sqrt(8)) - (sqrt(190)\/(sqrt(10)*-1) + sqrt(19))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 25*n**2 - 10*n - 120. Is 4 a factor of a(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28362\/11 and 2579 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -9\/7, -216, 3, -5?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnuqnnrqunqfnunqn. Give prob of picking 1 r and 1 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 824*o**4 - 3336*o**3 + 5024*o**2 - 3356*o + 840.\nAnswer: 4*(o - 1)**4*(o + 210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 10. What is the common denominator of n(1) and -27\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Let b be 73\/7 + (-2233)\/203. What is the closest to 0.1 in j, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -2*q**2 + 3. Let b(c) = -c**2 - 5*c. Let p(m) = -4*b(m) + 5*k(m). Let i(d) = 2*d**2. Give p(i(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -31338176 > -31338170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 1, p: 3, z: 2, b: 4, m: 2}. Give prob of picking 1 m, 1 o, and 2 f.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 163 = 33. Let w = l + 33. Calculate the remainder when 134\/3*(63\/14)\/3 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1341*a + 801. What is the hundreds digit of x(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*r + 328 = -f, -3*f - 2*r = -260. Let v(i) = f - 2*i + 16*i - 84. Let c(t) = 2*t. What is v(c(d))?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 2754?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 45*t + 128. Give p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1278, -1295, -1314, -1335, -1358, -1383, -1410?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 5465\nAnswer: -21860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + i = -12023, 36071 = 2294*s - 2291*s - 4*i. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4195.054 - -4195. Let l = 32 + -29. What is the biggest value in a, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1586460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-1) - (14 - 16). Let w = h - -21. Which is greater: 13 or w?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 471.2956678 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22638 and 0.3?\nAnswer: -6791.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 6*g + 5*g + 17, 4 = 4*m + 4*g. Let z be (-1)\/4 - 3\/(-12). Let v(o) = -o - 3. Let c be v(0). Put m, z, c in decreasing order.\nAnswer: m, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353189710, 706379419, 1059569128, 1412758837, 1765948546?\nAnswer: 2119138255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*1*346. Let t = 203 + p. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -df39 + -13?\nAnswer: -df4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 4b?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.045433 * -1.74\nAnswer: -0.07905342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + -2*sqrt(324))\/((sqrt(72)\/sqrt(3))\/sqrt(2) + sqrt(12)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**4 - 5*p**4 + 3*p**4)*((-3 - 3 + 8)*(-3 + 1 + 3) - 36 - 7 + 3) to n*p + m*p**4 + k*p**2 + t + h*p**3 and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1037*m**2 - 5*m + 263 - 29 - 37*m - 1039*m**2 - 30*m.\nAnswer: -2*(m - 3)*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmffcwmcfwifwpi. Give prob of sequence imi.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 9, 0.7, -5, 4, 5 in increasing order.\nAnswer: -5, 2\/23, 0.7, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 78000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0984 - -0.1584. Let g be 100\/45 + 0 + -2. What is the closest to 0.1 in g, m, 0.3, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*w = -44, 1396*h - 1393*h - 52 = 4*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -20. Suppose 5*t - 10 = 5*i, -q*t - 2*i = -10 - 10. What is the smallest common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m - 4*r + 100, r - 21 = -m. Suppose 5*h + c = 21 + 49, 2*c = 0. Solve -3*b = 5*g - m, 7 + h = 3*g - 2*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394389 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 2 v when four letters picked without replacement from {w: 2, v: 4, e: 9, t: 1, d: 3}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -5374?\nAnswer: -5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + -119. Let r = p + -52. Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 smaller than 4527394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 2. Let r be j(3). Suppose 0 = r*a - 2*x - 3 - 8, 0 = 5*x - 10. What is the first derivative of -a*o**4 - 3 + o**4 + 0 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 4, o: 2, j: 2, s: 2}. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) - sqrt(153)*-1)*-1)\/(4*sqrt(9)*1*-4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let b be k(0). Let v be 10 + 20 - (b - 2). Let x = v + -27. Solve 3*n - 2*g + 10 = -n, x*n + 20 = 4*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102692 - 48565. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147661, 295287, 442865, 590371, 737781, 885071, 1032217?\n\"Answer: -4*h**3 + 147654*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 3*a**2 + 2*a. Give i(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 9*x + 52 = 0. Suppose 24*a + 92 = x*a. Suppose r - a = -27. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/6 + -5\/12. Let f = 0.22 + 0.08. Let k = -1272 - -1274. What is the biggest value in f, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9137755727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**4\/4 - 55*q**3 - 2349*q**2\/2 - 2187*q + 243. Factor n(k).\nAnswer: -3*(k + 1)*(k + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 214416 (b) -2 (c) 0.4 (d) -75.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 1 - 138*s**4 - 3 + 1 - 2*s**2 - 132*s**4 + 273*s**4 as r*s**3 + a*s + l*s**4 + y + t*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - sqrt(98)*-2)*-4 + (sqrt(50) + 1 - sqrt(2)) + sqrt(2) + -2.\nAnswer: -79*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 3*y**6\/5 + 49*y**5\/20 + 19*y**4\/12 - 8*y**3\/3 - 2*y**2 - 6*y + 23. Determine q, given that v(q) = 0.\nAnswer: -2, -1, -2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 1083.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/60*10\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.06 + 2.059999492. What is r rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2640 and -169\/660?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44640 - -44643. Solve -l*n - 9 = 3*t, -2*t - 52*n + 57*n = -15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 11}. What is prob of picking 2 k and 2 e?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -24*a + 2030. Calculate x(35).\nAnswer: 1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*t = -102*t - 663 - 97 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = -47*o + 40*o, -3*o = -3*s - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.2.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 20*s + 21 = -3*g, 0 = -15*s - 2*g + 37 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((30\/25)\/(2\/((-74)\/(-4329))))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 12*s**5\/5 - 724*s**4\/5 - 612*s**3\/5 + 349844*s**2\/5 - 92904*s + 23200 = 0?\nAnswer: -20, 1\/3, 1, 29, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(99) + -4 + (4 + sqrt(99) - sqrt(99))**2 - sqrt(99)) + sqrt(99) + 2*sqrt(99) + 1).\nAnswer: 39 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 1360*f**2 + 107008*f + 1486848.\nAnswer: 4*(f - 176)**2*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 191936 and -4?\nAnswer: -767744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*m + 96*m + 95*m - 456*m + 87*m + 98*m - 4*m**2.\nAnswer: -4*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 22*k - 18*k + 422, 392 = n + 2*k. Calculate the remainder when n is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -353, -693, -1033, -1373, -1713?\n\"Answer: -340*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427985469 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkfxxkefxekfxxf. What is prob of picking 1 f and 1 e?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:28 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38530?\nAnswer: 2, 5, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354 times -24393?\nAnswer: -57421122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-33) + 26\/22. Is 8 a factor of ((-1428)\/36 - -9)*r*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.025978811 and -0.05.\nAnswer: -0.024021189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = 41*i + p + 9, 15 = i - 2*p. Solve -i*o - 15 = -2*n, -5*n = -o + 5*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.467, -6\/5, 3, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10597035 to the nearest 1000.\nAnswer: -10597000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 12. Let f be u(5). Suppose 4*q - 314 = g, 3*q = -f*g + 4*g + 238. Calculate the highest common divisor of 39 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**6\/360 + l**5\/15 - 2*l**4\/3 - 5*l**3\/6 - 7*l. Let r(j) be the second derivative of o(j). Factor r(h).\nAnswer: -(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43150)\/647250*(2\/84)\/((-2)\/(-20))?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.305 + -24.495. Let f = 24.80000555 + n. Round f to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 4, 0.09, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 - (-1014)\/143) - (-2 + (-294)\/(-154))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + 16\/10. Is ((-6)\/4)\/((-1)\/d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436563.\nAnswer: 3, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3153864 + -1?\nAnswer: 3153863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 20, 3*s + 24*w = 26*w + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009477 rounded to five decimal places?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3 + 15*l + 3. Suppose g + x - 21 = 0, -2*x + 5*x + 3 = 0. Let p(r) = -4*r. Let s(j) = g*p(j) + 6*f(j). Let o(u) = 4*u**2. Give s(o(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38181, -76360, -114537, -152712?\nAnswer: -190885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 0, -2*t + 3*f = 7*f - 2. What is the remainder when 222 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 + 1 = 0. Let f(a) = -1 - 2 - 3 - 77*a + 3. Is f(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-196) + 1240787\/30233?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -961*k**4 + 3*k - 251?\nAnswer: -11532*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 10032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24266\/(-4)*(77 + -235) + -7. What is o rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-seven fifths of a microgram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 12*k - 2. Let s(c) = -c**2 - c. Let l(w) = -2*s(w) - x(w). What is l(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 17, -1.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 2*h - 5*n, 2*h - 30 = 4529*n - 4528*n for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3986.\nAnswer: 5\/3986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339 + 2682 - 1303 = -s for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 3\/35 (c) -4\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let j(t) = 9*t - 2*t**2 - t**g - 3*t. Let r(c) = -4*c**2 + 7*c. Let z(a) = -6*j(a) + 5*r(a). Find the second derivative of z(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 55 = 40. Is x not equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 47, 90, 145, 212, 291?\n\"Answer: 6*b**2 + 13*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/8 + (-1)\/2. Let i = 3\/10 - 17\/90. Sort j, i, 0.1.\nAnswer: 0.1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 31*b**2 + 147*b + 246. Let w be u(-35). Let k = -54491\/53040 - -139\/510. Let j = k - -9\/13. Is w > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 40 - 44 = 0. Let l(g) = -g**2 - 1. Let x(j) = 2*j**2 - 5*j - 1. Let n(b) = -3*l(b) - x(b). What is n(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16558 + 23?\nAnswer: 16581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 4*s + 5. Let n be j(4). Suppose 0 = -5*x + 2*l + 900, 2*x + 2*l + 2*l = 336. Let d = x + n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(832) - sqrt(832)*-2))**2*-4 + (-1*sqrt(65)*1)\/sqrt(180) + -2.\nAnswer: -1078290 - 13825*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/(-10)*1*-2. Let r(t) = -t - 4. Let g be r(n). Suppose -g*s + 3*j = -38, -s + 18 = -3*j + 5*j. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39.28*3938\nAnswer: 154684.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/6)\/(145\/(-174))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 7*o**5\/15 + 2*o**4\/3 - 8*o**3\/3 - 9*o**2 + 1. Let y(g) = -9*g**2 - 5*g + 5. What is 5*w(v) + 16*y(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 1 + 1 + 0*d**2 - 6*d**2 + 0*d**2 + (d - 2*d - d)*(-3*d + 2*d - d) to l + b*d + n*d**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8156874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = a - 5, -3*a + 15 = 2*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -0.102?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/22 and -9\/14408?\nAnswer: 158488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 114.795599.\nAnswer: 45.9182396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i**2 - 5*i + 1. Let w be (8 + 0)\/(4 + -3). Let h(k) = 15*k**2 + 8*k - 1. Let x(a) = w*m(a) + 5*h(a). Differentiate x(p) wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/19545 and 101\/165?\nAnswer: 214995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 11) to base 14\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1643070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 9, -2*x + 9 = -o + 2*o. Suppose -6*s = -2*s - 4, -o*v + 4*s = -29. Let z = 12 - v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*f - 4*k, 2*f - 5*k - 2 = 13. Sort 4, f, 2, 5 in descending order.\nAnswer: 5, 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose 5*v - 5*f = 125, -34 - 42 = -a*v - 2*f. Let m(q) = -q - 1. Let y be m(-4). Calculate the highest common divisor of y and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 10020?\nAnswer: 10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138699372.\nAnswer: 2, 3, 7, 1651183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-6)\/15 - (-13)\/(-5)). Solve -3*c + 3*v + 4 = -c, 0 = 2*c + k*v - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 72?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12 = 32. Let i be (c\/(-16) + 1)*1. Which is bigger: i or 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(((-1*sqrt(171))**2 + sqrt(171))*1 - sqrt(171) - -2*sqrt(171)*-3)*-6.\nAnswer: -1028 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55 - 0.6. Let q = 0.35 + v. Let j = 14.6 - 15. Which is the second biggest value? (a) -3 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 3. Let n(s) = 3*s + 2. Let b(l) = -l - 1. Let i(d) = -4*b(d) - n(d). Let t(u) = -6*g(u) - 5*i(u). Determine t(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3996*s**2 - 3888*s**2 - 3973*s**2 - 3998*s**2 + 15854*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i, -4*z + z + 33 = 4*i. Solve 0 = 5*j - 0*j - b - z, 0 = j - 4*b + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*i + i + 2, -i + 2 = 0. What is the nearest to 1\/4 in 1\/4, y, 0.3, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3851988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 2 + 0 + -28 + 8 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -866*x - 11264. Determine q(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by 899.\nAnswer: 153\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3\/4 + 228273759*x**2\/4 = 0.\nAnswer: -76091253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323443223 (base 5) to base 9.\nAnswer: -10862618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 755628*a\/5 - 6045088\/5.\nAnswer: (a - 8)*(a + 755636)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 22 - (53 + 52 - 60)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/18)\/((-9)\/18)*-22527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) - 2\/(-3). Let t be (-2)\/(-2) - (-6)\/3. Suppose 40 = t*u + l*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(22)\/((sqrt(396) - sqrt(11)) + sqrt(11))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88488\/56 - 2\/7. Let u = i + -1588. Let g = -96 - -141. What is the common denominator of u and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-5)*i*i**(-2))**(3\/14)*(i**8\/i*i)\/(i\/(i*i**(-3\/2)\/i))*i**(-6)\/i**8 assuming i is positive.\nAnswer: i**(-131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 56*a**2 + 54*a - 167. Let l be z(-57). Let k(w) = -w**2 + 2*w - 2. Let o be k(2). Sort l, -4, o, 1 in descending order.\nAnswer: l, 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -627d39 + -6?\nAnswer: -627d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/18)\/((-1)\/9). Let z = c - -5. Solve -j = z*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let j(x) = 24*x - 16. Let n(c) = -4*c - c + 6*c - 1. Let u(m) = -j(m) + 16*n(m). Calculate u(h(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -16. Suppose -f*t = 2*m - 10, -3*m + 2 = -3*t + 5. Suppose x**2 + x**3 - x**t + 9*x**4 - 4*x**5 - 6*x**3 = 0. Calculate x.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*s - z, 3*s - 7*s + z + 19 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -4.7. Let m be 4\/16 + (-23)\/60. What is the smallest value in -1, u, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63787944 - -172818.\nAnswer: -63615126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 11*j**2 + j - 11. Let z be a(11). Suppose 3 = -2*k + 2*h + 15, z = 4*k + 2*h - 12. Suppose -k*f - 50 = -9*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196456783 to the nearest integer?\nAnswer: 14016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2201?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000469633 rounded to seven dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19664\/105 + 1310\/7. Let z = 0.8 + -0.5. What is the nearest to 0.3 in -2\/3, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -0.4259721.\nAnswer: -0.029818047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Let b(v) = -1 + 5*v - p*v + 0. Let c(s) = -s**3 - 5*s**2 - s - 4. Let g be c(-5). Determine b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 27, -6, -41, -72, -93?\n\"Answer: z**3 - 10*z**2 - 2*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15028976\/81 or -185544?\nAnswer: -185544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 290943*z - 43 = 290946*z, -4*z = 2*r + 6 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from xwgwlrlk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:29 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syhyyyshyhssy. Give prob of picking 1 s and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = t - 27 + 5, -5*t + 2*y + 74 = 0. Suppose 182 = -t*v + 924. Calculate the remainder when 156 is divided by v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 807 = 5*o, 0 = -2*b + 10*o - 12*o + 1590. Calculate the highest common divisor of b and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z)*(-41 + 70 - 36).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let r = 777 + -776. Calculate the remainder when v is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 (base 8) in base 11?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*q**3 - 16*q**3 + 41*q**3 + (-2*q - 3*q + 3*q)*(-4*q**2 + 2*q**2 + q**2) + 4 - 4*q**3 - 4.\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v**5\/7 + 1653*v**4\/7 + 50541*v**3\/7 - 124221*v**2\/7 + 90162*v\/7 - 2592 = 0.\nAnswer: -144, -42, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-10)*(-10)\/(-4)*(-136)\/170.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 438 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-900)\/(-11050))\/(66\/748).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n**2 - 7*n**2 + 8*n**2 + 5. Let f be p(0). Suppose -4*l = t + 3*t + 4, l = -f*t - 9. Put -2\/13, l, 0.5 in decreasing order.\nAnswer: l, 0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 + 92*j**2 + 2116*j + 48668\/3.\nAnswer: 4*(j + 23)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five halves of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155850 and 570411.\nAnswer: 28520550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 2*k**3 + 2*k**3)*((-k + 0*k - k)*(-5 - k + 5) + k**2 + 3 - 3).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108022038 is divided by 280.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.24 + -0.24. Let k = 623.35 + -637. Let s = x + k. What is s rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1561*x. Let i(n) = -2*n**2. Give g(i(y)).\nAnswer: -3122*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 144773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x + 2*y - 34, -5*x - 3*y + 91 = 0. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3544 and -0.06.\nAnswer: -212.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 12*d**2 + 7*d - 5. Let f be t(-11). What is the greatest common divisor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:23 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4 less than 303?\nAnswer: 310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - -6) - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 42. Let b be ((-2 - -5) + 0)\/(y\/6). Factor 0*c + 0 - 9*c**3 - 27\/4*c**4 - 3*c**b.\nAnswer: -3*c**2*(3*c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i + 4. Let q be a(5). Let h = -24 - q. What is the highest common factor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 2:23 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uouu when four letters picked without replacement from uuoououuoooououo.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3066417, -3066600, -3066783, -3066966, -3067149?\nAnswer: -3067332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q + 52*q - 14*q + 10*q - 38*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 268*o**3 + 1560*o**2 - 3088*o + 2048.\nAnswer: 2*(o - 128)*(o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*g + 5 = 0, -4*y + g + 12 = 4. Let z = 53 + -53.3. Which is the biggest value? (a) z (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:59 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:52 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let f(b) = b. Let h(c) = -5*f(c) - 4*i(c). Let u(g) = 14*g - 4. Let d(z) = 16*z - 5. Let t(r) = -4*d(r) + 5*u(r). Determine -3*h(x) - t(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 219.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 9*f**5\/5 + 5*f**2\/2 + 45*f - 42. Find the first derivative of z(a) wrt a.\nAnswer: 36*a**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 29*p**2 - 38*p + 14. Let k be s(-13). Let m be (-9)\/1 + (-9 - -7). Sort k, m, -1 in increasing order.\nAnswer: m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07644945053 take away 0.4?\nAnswer: -0.32355054947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 - 3 + 4*l**4 - 1 wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let l(n) be the second derivative of -n**3\/6 + n**2\/2 + 11*n. Let q(s) = 3*l(s) - 4*p(s). Let o(i) = -4*i + 3. Calculate o(y) + 3*q(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5925 times 0.04?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (555 - 242*q**2 - 555)*(5*q + 0*q - 3*q + (2 - 2 + 2*q)*(-1 - 5 + 4)) as r + w*q + d*q**3 + m*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23395 - -467801\/20. Find the common denominator of v and (-758)\/(-160) + 3\/((-45)\/12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by -70\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.4 (c) 78 (d) -0.087 (e) -30.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1035 + 1760. Suppose t - b = 2*r, 0 = -4*r - 14*t + 9*t - 1429. Let q = r - -577. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -296 - 1229?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2282041783059\/7184 - -317656147. Let z = j + 7\/449. What is the common denominator of 59\/4 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1770000 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.07 - -9. Let q = 1.07 + i. Which is the closest to q? (a) 3\/7 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - -21.5. Let u = -25 + p. Let q = -0.7 + 0.7. Which is the second smallest value? (a) u (b) q (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230936240*p*w**2 - 345*w**2 + 7*w + 11092 wrt p?\nAnswer: 230936240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by 4.\nAnswer: -285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 5\/2, 0.1, 19 in descending order.\nAnswer: 19, 5\/2, 0.1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 311*v - 6849. What is y(-22)?\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, b: 4, h: 5, o: 1, z: 1}. Give prob of sequence bczh.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2. Let j = c - 3. Sort j, 1\/5, 1 in ascending order.\nAnswer: j, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11452767.022689 less than 3?\nAnswer: 11452770.022689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (171\/(-6) + 30)\/(6\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:02 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23244)\/15 - 8\/20. Round n to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 81. Let o = v - 37. Sort -2\/13, o, 0 in increasing order.\nAnswer: o, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 - -283. Let m(j) = -j**3 - 7*j**2 - 6*j - 3. Let a be m(-6). Let g be ((-3)\/(-10))\/(a\/16). Are l and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -2\/471, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149965823 to the nearest integer?\nAnswer: 12246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174592 and 259501.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.1987136 to one dp.\nAnswer: -28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6533.864 micrograms?\nAnswer: 0.000006533864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63549 is divided by 63534.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185189\/829362 + 1\/8823. What is the common denominator of c and 53\/564?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49646, 49580, 49518, 49460, 49406?\nAnswer: 49356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001\/22*88\/(-154)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvo. What is prob of sequence vo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(17)*1) + 1 + -2 + sqrt(1088))**2.\nAnswer: -66*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(3\/26)*(i*i\/(i\/(i\/i**1)))**(-2\/57)*(i**(1\/4))**(-1\/48)\/(i**(-2\/7))**(2\/47) assuming i is positive.\nAnswer: i**(453755\/5200832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53839?\nAnswer: 17, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 3. Let x(u) = -u**3 + 13*u**2 - 20*u + 262. Let f be x(13). Let d(a) = a. Give f*d(k) - w(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4997393, -9994765, -14992137, -19989509, -24986881?\n\"Answer: -4997372*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -706*o**4 - 27*o**2 wrt o.\nAnswer: -16944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:51 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 + 158. Solve -7*u + u - v = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 29*g - 6651. Let v be w(-81). Which is smaller: v or -2440?\nAnswer: -2440","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -0.028, -2, 10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k\/(k*k**(-3)))\/(k\/k**(1\/4))**(-13\/7) assuming k is positive.\nAnswer: k**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntbnkzr. What is prob of sequence ktr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 2}. Give prob of sequence fbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/112 and 99\/1735472.\nAnswer: 12148304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a - 9*a - 12*a + 12*a as p*a + o and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o + 5. Let l(k) = -5*k + 2. Let h(m) = 6*a(m) - 15*l(m). Let f(w) = -w**2. Give f(h(x)).\nAnswer: -729*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u**2 + 2 - 3 - 13 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 408*r + 817. What is b(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -142 times -0.3\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -313, -2, -0.3 in ascending order.\nAnswer: -313, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -4)\/9 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -21*t - 8. Let r(x) = 61*x + 23. Determine 8*o(a) + 3*r(a).\nAnswer: 15*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 - 24 = 0. What is the nearest to 0.1 in n, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-935)\/44)\/17)\/(6435\/(-936)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56981 - -56994. Suppose 35 = 3*g - 61. Calculate the remainder when g is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1928\/7 or -276?\nAnswer: -1928\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-3))**(30\/11) assuming z is positive.\nAnswer: z**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*l - 23 - 0, 5*c = -25. Suppose 16*r + l = 17*r. Solve -n = -3*n - r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-21))\/(3\/(-42)). Suppose 4*s + 4 + 4 = 0, -y*x + 242 = s. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 29. Let t(a) = a - 15. Let i(f) = -3*k(f) + 5*t(f). Let y be i(-5). Solve 2*c - y + 8 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}