diff --git "a/data/dm_maths/full_data_2/1852_11255.jsonl" "b/data/dm_maths/full_data_2/1852_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1852_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Four letters picked without replacement from {s: 1, q: 5, m: 14}. Give prob of picking 1 q, 2 s, and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 67, 62, 45, 10, -49, -138, -263?\n\"Answer: -k**3 + 3*k**2 - k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-8))\/((-3)\/4). Let q be (-2)\/10*5\/(-2). Put g, q, 0.4 in increasing order.\nAnswer: g, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {g: 2, q: 1, d: 1, o: 1, v: 1, t: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**3*t*x**3 + 145*a**3*t*x + 3*a**3*x**3 - 4*a**2*x**2 + 5*a*t - t*x**3 + 190*t wrt a.\nAnswer: -24*t*x**3 + 870*t*x + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 823 divide 17808897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*f - 48. Let n(v) = v**3 + 15*v**2 - 14*v + 36. Let k be n(f). Solve 2*c = -c - 2*o - 13, c = -o - k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15) + (-1036)\/(-1540)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.82 + -2.722. Let p = z - 0.098. Suppose 0 = 3*q - 5*q - 10. Sort 0, q, p.\nAnswer: q, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 3.9. Let t = -51\/2 + 26. Let l = -0.9 + 5.9. Sort g, l, t in ascending order.\nAnswer: g, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100011 + -1010011110?\nAnswer: -1101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4410 (b) -1629 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-649)\/59*((-3)\/(-18)*-2)\/1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 6 = -y, -4*y = q + 14. What are the prime factors of (-396)\/(-8) + 5\/(-2) + q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 617536 + -190.804\nAnswer: 617345.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.4, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*d - 11066 = -22*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -10702, 4, -3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29584\/1701 != 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-9)\/6. Let o = k + 28. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -38\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7735*d**2*u**2 + 4*d**2 - 110*d*u - 10*d + 30*u**2 + 9*u + 3 wrt u.\nAnswer: 15470*d**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8947453, 8947451, 8947449?\nAnswer: 8947447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 12 - (-194 - -161)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*o + 84*o + 75*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353385 or 353383?\nAnswer: 353383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81998 is divided by 451?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 5*j - 859. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 - 686 = 14*t. Which is smaller: t or -3\/1318?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*x + 4. Suppose 3*j = x*j - 3*s + 30, 174 = 5*j + 3*s. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 2*n**2 - 5*n + 3. Suppose 10*g = 16*g + 12. Let h be (-1 + -4 + 9)\/(g\/2). What is l(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 + 1 = 0. Is 20 a factor of (-1*1*40)\/(i\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 18*m**2 + 19*m + 4. Let g be n(19). Suppose -4*r = 2*d, -3*r = -6*r - 3. Factor 0 + 0*h + 2 + 2*h**d - g*h.\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790721 and 2201551.\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.5. Let w = y + 0.5. Let k = w + -0.1. Which is the nearest to 1? (a) 4\/7 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15873*i**5 - 62940*i**2 wrt i?\nAnswer: -952380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48692.\nAnswer: 2, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f - 2. Let u be 21\/5 + (-2)\/10. Suppose u*g = -g + 10. Is 13 a factor of z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*w - 38737 + 41401 = 207*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 597\/8086 and 126 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.069.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -247710 + 4529?\nAnswer: -243192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -53, -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 2, c: 2, f: 3, j: 2, h: 2, o: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -39, -103, -203, -345?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -673 - -606.6. Let x = b - -66. What is the second biggest value in 2\/19, x, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Solve p - 2*p = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s - 219. Let t be k(16). Which is the fourth biggest value? (a) -3 (b) 4\/9 (c) t (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2. What is i(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372136397?\nAnswer: 3, 73, 277, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0022381 + -26.\nAnswer: -26.0022381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*w**2 - 17*w**2 + 72*w**2 to the form f + o*w + p*w**2 and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4))\/(7\/(-48 - -20)). Which is the nearest to -257? (a) w (b) -1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1778 and 113246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let i(j) = 2*j**2 + 4*j + 2. Let p be i(-2). Let g(k) = -4*k + p*k - 5 + 5. What is y(g(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaayyyayayyvy. What is prob of sequence vaa?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - n - 3*n - 1 to the form q*n + g and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5736848 is divided by 45172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -3*a**4\/8 + 2*a**2 + 8*a. Let t(c) be the first derivative of b(c). Let l(o) = o**2. Calculate l(t(w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2020727 + 1?\nAnswer: 2020730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from pmvlcxvp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - (21 - (60 - 19))) + 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c - 29. Let v(h) = -2*h**3 - 5*h - 57. Give 5*j(o) - 3*v(o).\nAnswer: o**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -497 - -510.5. What is the closest to -1 in j, 0.1, -2\/13, 1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1974 and 37\/14.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 + 6584*x**3 + 85236*x**2 - 59832*x - 2655990 = 0?\nAnswer: -3279, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155 - 109. Let c(v) be the third derivative of v**5\/30 + 5*v**4\/8 - 5*v**3\/2 - 92*v**2. What is the remainder when z is divided by c(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 + 658. Suppose 3*k + r = j + 2*k, -4*j + 1691 = k. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358686?\nAnswer: 2, 3, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 - 3*w**2\/2 - 13*w - 280. What is q(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-2)\/(4 - 0)). Let p(v) = v**2 - 28*v - 129. Let c be p(-6). Suppose t + b*t - 2*l = c, -4*t + 93 = 5*l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from eqxxqxeqqqek.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7133 and 3829.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (20 - -1)) + (33 - 22) - (16 + -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**8\/1008 - y**7\/630 - y**6\/360 + y**5\/180 + 40*y**2. Let h(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 267740304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 5*t - 37, -3*t - 15 = 0. Factor -4*m**i + 2*m**4 - 6*m**2 - 14*m + 8*m**3 + 1 + 6*m + 7.\nAnswer: -2*(m - 2)**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**3 + 25*p**3 + 17*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rff. What is prob of picking 2 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55627778?\nAnswer: 2, 127, 389, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -367.9 + 368. Which is the nearest to 2? (a) 2\/53 (b) h (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86.3999355 + 86.4. What is o rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + 30 + -18 + (1 - 8) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7492?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -l. Suppose 12 = 3*v, 4*v - l*v + 4 = 4*b. Does 11 divide 1\/(b + -1) - -19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.65, -129\/8, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 24. Let l = z + 29. Let v be 4\/3*l\/(-110). Put 3, v, -4 in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182752845 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(6\/(-1428)*7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 806? (a) 3 (b) -2 (c) -10 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118933396 to seven dps.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 - ((7 - -18) + -16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i = -19*k - 20*k + 41*k + 760, -3*k + 7 = 19 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, -32, -223, -490, -833, -1252?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + 1\/(2\/(-6)). Let o(r) = -r - d*r + 586 - 618. Let z be o(-8). Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, 3, 1.53, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 5*j + 1. Let m be y(3). Let r = 18 - m. Calculate the remainder when 21 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:38 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 0*i - 2*i + 0*i + 3*i + (2*i + 0 + 0)*(-4 - 4 + 6) - 5*i + 3*i + i - 6*i + 3*i + 2*i)*(10 - 11*i - 10).\nAnswer: 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 71. Let v = 57.79455 - 111.7934. Let o = x - v. Round o to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -198 or -27842\/5?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -15*w - 25. Sort 3, w, -1, 1 in descending order.\nAnswer: 3, 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 8. Let k be o(11). Suppose -k = 5*u + 165. Is u < -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8039 by -15.\nAnswer: 8039\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5 + 5)*(4*f + 3*f - 3*f) + (-2 + f + 2)*(5*f - f - 6*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*v + 23, -1380*v + 56 = 4*k - 1379*v for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**35\/m))\/m)**(18\/7)\/(m**(2\/59)\/(m**(-3\/4)*m)))**(6\/5) assuming m is positive.\nAnswer: m**(-86445\/826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 224?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2185229000 rounded to the nearest 1000000?\nAnswer: -2185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065840 divided by 22205?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2. Let l(s) = -3*s. Let t(x) be the third derivative of x**4\/6 - 17*x**2. Let g(q) = 5*l(q) + 4*t(q). Give g(r(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20a0e + -5?\nAnswer: -20a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 195*a + 1. Let s = 143 - 139. List the prime factors of f(s).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11471 greater than or equal to 22941\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 + 38*b\/11.\nAnswer: 2*b*(b + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(64)\/sqrt(4))\/((sqrt(88) + (sqrt(88) - (sqrt(88)*1 + sqrt(88))))\/sqrt(11) - (-2*sqrt(128) + sqrt(8))).\nAnswer: 12*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 7. Let t be -2 - (-4 + 2 - 4). Let r be (-27)\/(-6) - (-2)\/t. What is the units digit of w(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637318?\nAnswer: 2, 79, 23021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m**2 - 36 + 36)*(10*m + 1 + 11*m**2 - 3 - 9*m).\nAnswer: -154*m**4 - 14*m**3 + 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 89?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/4)\/((-13)\/(-208)). Suppose -j = -5*t + 2*u - 0*u, -7 = t - 3*u. Suppose a - 3*w = 9, 0*a - 5*a + t*w = -19. Solve 3*r = -12 + a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfbddddbdfddfddfff. Give prob of sequence dfd.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/40, 25, -2, 0.11, 1\/2 in descending order.\nAnswer: 25, 1\/2, 0.11, 1\/40, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101166861?\nAnswer: 3, 647, 52121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11096920 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -142791.6194 plus -58376?\nAnswer: -201167.6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9094279\/6 or 1515712?\nAnswer: 1515712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7a9 (base 16) to base 10\nAnswer: -1961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -905, -942, -973, -998, -1017, -1030, -1037?\n\"Answer: 3*w**2 - 46*w - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 + 6*n + 20. Give a(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117360 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.24 * 822.42.\nAnswer: 2664.6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**2 + 330*l - 331*l + l**2. Let g be ((-65)\/(-25) + -3)*(7 - 2). Calculate p(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:43 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 316773104 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194 - -203. Calculate the smallest common multiple of 24 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okfo when four letters picked without replacement from oofokkfffffkook?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let w = 1 + f. Let k = 7 - w. Solve i + k*i = q - 19, 7 = -3*i - 2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srr when three letters picked without replacement from rrrss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*n + 10*d, -2*n = d + 107 - 101 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297)\/(sqrt(9)*2))\/(-2*sqrt(48)))**2 - (-3 + sqrt(11) + 2 + sqrt(22)\/sqrt(2)*5))*-5.\nAnswer: -1335\/256 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 36 = 3*v, 7 = -v - 260*f + 262*f for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, b: 2, m: 8}. What is prob of sequence tt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15330012 - 7665007 - 7665005 - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2043*l + 265984 = -632*l - 1481*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116496.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 17.9 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a**3 + 937*a**2 - 3204*a - 297. Calculate f(-97).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.03 (b) -2 (c) -5 (d) -23\/29 (e) 0.4 (f) 0.3 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13013145 (base 6) to base 14.\nAnswer: ada89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1388.886\nAnswer: -1392.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(21)\/sqrt(3) + -2 - (sqrt(343) + 3 - sqrt(7))*-2.\nAnswer: 3 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 17*a**2 - 4*a**2 - 4*a**2 - 6*a**2.\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-2\/9)*z)*z))**14\/(z**(6\/7)*z**(11\/2)) assuming z is positive.\nAnswer: z**(-1193\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.137 rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (11 - (29 + (-21 - -6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(4 - 2*b - 4 + (3*b + 0*b - 5*b)*(-1 + 1 + 1)) + 2*b + 0 + 0 + (2 - 2 - 2)*(-b + 4*b - b) - 7 + 7 - 3*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -16, 0.2, -19 in increasing order.\nAnswer: -19, -16, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/2)\/9*(-48)\/8. Let t(z) = -z**3 + z**2 - 1. Let y(h) = h**2 + 2*h + 1. Let w(a) = -3*t(a) - y(a). What are the prime factors of w(g)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3634*h**5 + 132*h**2 + 22*h wrt h.\nAnswer: 218040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-893)*((-5)\/15*-1 - 1).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + 6 - 4 - 1 - 2 + 1 - 1 + (1 - 1 - 1)*(-4 + 5 - 2) + 3 - 3 + 2)*(-38 - 6 - 14)*(3 - 2 + 0)*(-2 - g + 2).\nAnswer: 174*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 135 + 27 = 5*d, 4*d + 2*g = 130. Let v(x) = x**3 - 8*x**2 - 10*x - 82. What is the remainder when d is divided by v(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 1 = -11*i. Let l(v) = -v - 1. Let w(m) = 6*m**2 - 4*m - 4. Calculate i*w(n) - 4*l(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5386701 millennia?\nAnswer: 538.6701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(1 - v - 1) - 5*v + 3*v + 16*v + 4*v - 2*v + 0*v + v + 4*v - 3*v)*(-4*v + 3*v - v)*(v - 1 + 3 - 1).\nAnswer: -34*v**3 - 34*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -31430340?\nAnswer: 31430244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184500 and 2624?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k - 4*d, 7*d - 2*d = -3*k + 25. Suppose k*r + 1 = -24. Suppose -3*h - 13 = -4. Sort 6, r, h in decreasing order.\nAnswer: 6, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**6\/2 - 503*y**5\/5 + 2*y**2 + 922*y - 873. What is the second derivative of g(m) wrt m?\nAnswer: 60*m**3 - 6036*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-10) + 0 - (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 9550*h + 45601250.\nAnswer: (h + 9550)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + -1 - (23 + -27))) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 + -61300574.8.\nAnswer: -61300540.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - -1) + 522\/(-406))\/((-30)\/(-140))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -22. Let g(y) = -2*y - 2. Let h be g(i). Let c = -148 - -151. Solve c*f + 4*j = 21, 2*f - h = -3*j + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, 20, 14, -2, 0 in decreasing order.\nAnswer: 20, 14, 0, -2, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/20 - 7*u**5\/60 - u**3\/3 - u**2. Let a(v) = 4*v**3 - 5*v**2 - 1. Determine 7*a(s) - 5*n(s).\nAnswer: -2*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11 + 2\/11*q + 4\/11*q**2 - 2\/11*q**4 - 4\/11*q**3 + 2\/11*q**5.\nAnswer: 2*(q - 1)**3*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 4*h**4 + 6*h - 1 - 3*h**4 - 6*h**3 in the form p*h**3 + f*h + x*h**4 + n + j*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**2 - 60*i + 9. Let r be s(-10). Let b = r + 192. Which is smaller: 1\/7 or b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29546956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 4053.\nAnswer: 30\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + q**2 - q + 2. Let v(h) = -5*h**3 + 23*h**2 + 7*h + 19. Let o(i) = 6*p(i) + v(i). Let t be o(-29). Solve -t*m + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451 = 28*t - 1766 + 3517 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 23*r**2 + 9. Let x be 0*(1\/2 + 0). Suppose -2*k + x*k + 32 = 0. What is the remainder when k is divided by t(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, l: 2}. What is prob of sequence ool?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68, -134, -200, -266, -332, -398?\n\"Answer: -66*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c (base 15) in base 14?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*d + 178*d + 209*d)*((1 - 3 + 0)*(0 - 4 + 1) + 5 - 4 - 2).\nAnswer: 1600*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1235*k**2 - k + 3576 wrt k?\nAnswer: -2470*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 143. What is y rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 10*j - j to the form i + u*j and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -47*g + 1225. Let k be p(26). Let t(b) = -b**2 - 7*b - 6. Let r be t(-6). Suppose -w = -r*w - 3. Solve -11 = -k*u - 5*h, w*u + 3*h - 3 = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153))**2*4 + (sqrt(17) - (sqrt(68))**2)*-4.\nAnswer: -4*sqrt(17) + 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 79*q - 13. Let u be o(6). Suppose -20 = 9*k - u. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -1504\nAnswer: 27\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100951\/10 - 10107. Let r = -72505\/13368 + 120\/557. Find the common denominator of m and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485 times 16?\nAnswer: 103760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 167, 5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = 2*v - 115, -4*v + 4*j + 160 = 0. Suppose -13*z + 77 = -6*z. Calculate the remainder when (-13)\/(((-30)\/v)\/((-8)\/(-6))) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:23 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1638mg in tonnes?\nAnswer: 0.0000000041638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2125*v - 2128*v + 30 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022055321 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218\/61 + 19088\/5307. Put m, 2, 0.1, 1\/9 in descending order.\nAnswer: 2, 1\/9, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18187 = -27*p + 36272. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301897 is divided by 5591?\nAnswer: 5574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s**3 + 1356*s**2 + 63*s**3 - 1356*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 6*r + 2. Let h = 212 - 203. What is o(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 50\/1464829 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 134702*d - 1077951. Calculate z(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(28)\/sqrt(4) - ((sqrt(7)*2 - sqrt(7)) + 1 - sqrt(7))**2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*n = 26, -z + 17*n = 27*n + 10 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**5\/15 - 5*r**4\/6 + 64*r**3\/9 + 173*r**2\/3 + 91*r - 3888. Determine g, given that u(g) = 0.\nAnswer: -13, -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 0*z + 8*z)*((1 - 7 - 10)*(-1 + 1 + 2*z) + 0*z - z + 2*z) to b*z + g*z**2 + p and give g.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 1, t: 1, d: 1, y: 1}. What is prob of picking 2 e and 1 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.6 (b) -0.4 (c) -3\/2 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51931 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 200 = 86*g. Let f(d) be the second derivative of -4*d**2 + 0*d**3 - 3\/5*d**5 + 0 + 0*d**g - 7*d. Differentiate f(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551094 to the power of 1\/2, to the nearest integer?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -16*u - 48. What is the biggest value in 0.4, -5, u, 1\/32?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180866 is divided by 180852.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -1032675\nAnswer: 31\/1032675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -5. Let v(x) = x + 4. Let d be v(-4). Solve d = r*z - 3 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6219)\/8687 + -7 + 8. Let w = r + 2\/1241. What is the biggest value in -27, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2)*(31 - 26). Sort 1, -3, c, 12, -5 in decreasing order.\nAnswer: 12, c, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 - 6 + 2*q - 2. Let b be p(4). Differentiate 1 + 0*l**2 - l**2 - 3*l**3 + l**b wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115086445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -h + 4*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 19*t - 108. Let h be s(10). Let q = h + 31. Calculate the remainder when (-49)\/(1\/(0 - 1)) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnunnnbfftmn. What is prob of picking 1 m, 1 t, 1 n, and 1 u?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - i**3 - 3*i**4 - 4*i**2 + 2*i**2 to the form y*i + a + g*i**2 + d*i**3 + c*i**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*q = 290*q - 16. What is the least common multiple of 6 + q + (-5)\/5 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + 1. Let z be (-3 - 33\/(-9)) + -1. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -320 (b) 243 (c) -2 (d) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.106682ug in milligrams?\nAnswer: 0.005106682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 72. Let j be 4*(-3)\/3 - w. Suppose -5*k + 0*k - b = -103, j*b = -4. Calculate the highest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 87206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -12, 3\/4, 24?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + 0.4. Let z be 3\/6*(1 + -1). Let j be 4\/7 - z\/2. Which is the closest to -1? (a) 0.1 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 3331 = 3515. Let x = 2009 - o. List the prime factors of x.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -150 - 50. Is 14 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*u + 496568*u**3 - 496573*u**3 - 4*u - u.\nAnswer: -5*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -i - b - 0*b, -3*i + 53 = 4*b. Let n = i - 7. Suppose -l + 2*y - n*y + 8 = 0, -54 = -5*l + 4*y. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:51 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.023949 + 0.0280916. Round n to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5100792716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-4 - (1 + -2)). Let k(a) = -2*a**3 + 4*a**2 - 4*a + 3. Calculate the common denominator of k(3) and 485\/4*b\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxxg when four letters picked without replacement from {x: 3, f: 1, g: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let y = -109 - -219\/2. Let t = 0.184 - 2.184. Which is the nearest to u? (a) 0.3 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 885586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 3 - (12 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (-26 - -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -69.03. Let s = 31 + l. Let z = -37.945 - s. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1598, 3202, 4806, 6410?\n\"Answer: 1604*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 10*r + 1. Let k(i) = i**2 - 11*i. Let w(d) = -3*j(d) - 2*k(d). Suppose -120*p + 6 = -122*p. What is the units digit of w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - c + 20 = 0, 2*a + 5*c - 20 = 2*c. Suppose -2*y - a = -6. Let z(w) = 3*w**3 - w**2 - w + 1. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000153493 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24050093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from hvhvvovohvvovovo?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/4 - 336*v**3 - 27072*v**2 - 608256*v = 0?\nAnswer: -352, -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 273 + 275 - 4*h**2 - h + 0*h. Let d(a) = a**2 - a - 1. Suppose -25*f + 20*f - 10 = 0. Calculate f*d(o) - v(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 1427, 4, -27 in increasing order.\nAnswer: -27, -3, 2, 4, 1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 12 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1465257 (base 8) to base 10.\nAnswer: -420527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -6, -27, -66, -129?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n, 0*j - 5*j = n - 86. Let y be (-2 + 6 + 14)\/((-4)\/14). Let b = -56 - y. Calculate the remainder when j is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -77. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 27312*n - 46621584.\nAnswer: -4*(n + 3414)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113548, 227072, 340570, 454042, 567488, 680908?\nAnswer: 794302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 7*o**2 - 8*o + 3. Suppose -3*b - 3*w = -24, -w = -3 - 1. Calculate c(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Suppose f - 1 = b. Suppose 0 = f*o - 2*m - 38, -3*m + 3 = 2*o - 44. Solve 3*l + 8 = -j, 0*l - 3*j + o = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76.141 - 0.141. Let n = 11177.0690934 - 11101.0691. Let x = w - n. What is x rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1026\/(-152))\/(9\/(-12)). Let g(a) = a**3 + 2*a**2 + 2*a - 1. Let b(f) = 3*f**3 + 9*f**2 + 9*f - 3. What is h*g(c) - 2*b(c)?\nAnswer: 3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22623 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(2*sqrt(5)*6) - ((sqrt(3) + sqrt(3)*-1 + 2)**2 + (sqrt(30)*2)\/sqrt(10)).\nAnswer: -4 - 23*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79518604.\nAnswer: 2, 11, 709, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 498*s - s**2 - 21 - 498*s in the form q + r*s + o*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10300 - -10305. Solve 0 - 2 = -m - 4*l, -s*m + 10 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 37 - ((-1 - 0) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6057 + -150. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*(20\/(-2))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**7*t))\/(t\/((t**5*t)\/t)))\/(t**0)**(-29))**(-3\/16) assuming t is positive.\nAnswer: t**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1855 + 2062. Suppose 4*c + 12 = 0, 12 + 16 = s - 3*c. Calculate the remainder when d is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5323801 rounded to 3 dps?\nAnswer: 0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(66)*2)\/sqrt(3))\/(((sqrt(11) + sqrt(11) + sqrt(44) - sqrt(11)) + sqrt(11))*2)*-4.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(2*q + 1 - 1 + (-2 + 4 - 3)*(-6*q + 0*q + 2*q) - 4*q + 3*q + 0*q + 2 - 2 + q) to h + c*q and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -48*c + 339. Let h be p(7). Suppose 0*m = 4*r - h*m - 3, -m = -r. Solve -r*s = -4*k - 20, -4*s - s + 3*k + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/5 + 856*d\/5 - 1704\/5 = 0. Calculate d.\nAnswer: 2, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 548 + 58 = 0. Suppose -y = -5*o + 9*x - 8*x, 5*o + 3*x = 86. Let z = -33 + 69. What is the remainder when z is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3989 - -3983. Let k(j) = -j + j**3 - 4*j**2 + 3*j**2 + 0*j. Let i(q) be the first derivative of -5*q**4\/4 + 2*q**3 + 3*q**2 - 2. Give n*k(w) - i(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 11:10 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 58 - 218 = 0. Suppose p - i = -8. Suppose 3 - 6 = -m. Solve 8*o - p = m*o - 3*w, -2*w = -2*o - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 2*s = 31*z, z - s = -2. What is the closest to -0.2 in z, 3, 0.0564?\nAnswer: 0.0564","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 1.1. Which is the closest to 2\/7? (a) q (b) -4\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*s**3 + 49*s**3 - 1 - 11*s**3 + 4.\nAnswer: 168*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 11*n**2 + 29*n - 14. Calculate the common denominator of y(13) and 14 - (0 - -2)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 5*f**3 + 2*f**3)*(-2 + 10 + 4).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41115 + 59315. Is h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 4*h - 13, 220*i - 215*i = -3*h - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 + r**3 - 6*r**3 - r**2 - 3*r**3 + r**2 + (3*r - 2*r + 0*r)*(r**2 + 3*r**2 - 2*r**2) + 5*r**3 - 57*r**3 - 5*r**3.\nAnswer: -59*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -28*q - 261. Calculate b(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*j**3 + 165*j**2 + 192*j - 204.\nAnswer: 3*(j + 2)*(j + 17)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/((-5)\/(-6)). Let f = -11 - -8. Let v = -93 + 93.2. Sort v, u, f in decreasing order.\nAnswer: v, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:16 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -e9ae82?\nAnswer: -e9ae86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-6)*r\/(r*(r**20*r)\/r) assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021*i + 1019*i = -10. Suppose -i*l + 3*l + 6 = 3*x, x - 2 = 4*l. Find s such that -6\/5*s + 0 + 3\/5*s**x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1, -5, -393, 110, 5 in decreasing order.\nAnswer: 110, 5, 2, -1, -3, -5, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 + 280812906*i + 280812903 = 0.\nAnswer: -93604301, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - f = -27 + 17, -2*z - 2*f = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98276707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**2 + 161*y**2 - 183*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003522 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6155382 and 0.295.\nAnswer: 6155382.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*j - 205*j - 11128. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -14. Let f be (-465 + 7)*2\/2. Let o = f - -472. Solve 2*u = -z - b - 2, -3*u - z - o = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 8, 0*d + 4*d + 2*g = 116. Suppose -3*h = -5*a + 13, -3*a = h + 2*h - d. What is the tens digit of h\/(-18) + 380\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 875*w - 308*w + 231 - 300*w - 303*w as t*w + q and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2396.025 microseconds to minutes.\nAnswer: 0.00003993375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-69)\/9)\/((-1)\/21). Let h = q - 156. Solve 0 - h = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*z - 2*n + 40, 2*n - 6 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:59 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - w = -8, 0 = 13*z - 25*w + 24*w - 82 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -606 (base 13) to base 8\nAnswer: -1774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*p - 187 = -193, p + 4 = -15*i - 34 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -11594?\nAnswer: 11594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/6 + t**3\/6 - t**2\/2 - 5*t. Let r be y(0). Which is the nearest to r? (a) 0 (b) -0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 267 - 170. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -9*g**4\/4 + 2*g**3\/3 - 57*g**2\/2 + 40. What is the second derivative of x(w) wrt w?\nAnswer: -54*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 150 (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (222\/(-9))\/(-4*(-2)\/(-12)). Let f = -32 + g. Suppose 19 = -f*t + 119. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 51*i - 77. Let f be x(-24). Let t = -4\/17 + -1\/68. Which is the smallest value? (a) -0.2 (b) -1 (c) t (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-240)\/9)\/(-10)*(-6)\/(-2). Suppose 6*a = 23 + 1. Calculate the greatest common factor of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 342 = k - 6*q, -1408 = -4*k - 2*q. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199916 or 199915?\nAnswer: 199916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003543571699 to seven decimal places.\nAnswer: -0.0003544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/5 + 146*p**3\/5 - 299*p**2 + 270*p = 0. What is p?\nAnswer: 0, 1, 10, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 9 + l**3 + 1 + 1 + 0*l**2 + 7*l**2. Let y be m(-6). Determine z, given that 2*z**4 - 5 - z**3 + 3 + y*z**3 - 4*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w, -8*w + 10 = 5*t - 4*w. Let b(a) = -23*a**3 - 2*a - 2. Let o(x) = 782*x**3 + 69*x + 69. Determine t*o(c) + 69*b(c).\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425684*-31.\nAnswer: 13196204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.635183\nAnswer: 3.175915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8687469cm to kilometers.\nAnswer: 0.000008687469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.92 + -1.115. What is a rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100111001111 - 101?\nAnswer: -1101100111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04149 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2815*l + 2071*l - 47616 = 0 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604409?\nAnswer: 13, 19, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/11 (c) 1\/4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*u + 186*q = -u + 188*q + 2, 0 = 3*u - 19*q - 183 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, l: 2, a: 1, e: 2, w: 1}. Give prob of sequence ffe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4 - 7 + 10 + w - 6. Let g be n(9). Suppose -s - 6 = -v, 3*v - 22 = -g*s + 6. Solve 0*j + v = 2*j, 5*r = -j + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99)\/(sqrt(9) - 1*sqrt(9)*4))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = r + 39. What is the highest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 1221 (b) 2 (c) 1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/17, 5, -0.1, 2\/3, 87?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = -32*p - 5*x - 394885, 5*x = -5*p + 394885. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - m = o + 3097, 0 = 4*o + m - 12408. Let i = o + -24859\/8. Find the common denominator of i and 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 2*k**5 + 0*k**5 + 4*k**5 + 7*k**3 - 7*k**3 + (3*k**2 + 0*k**2 - 2*k**2)*(-k + k - k**3) + (3*k**4 + 2*k**4 - 2*k**4)*(-k - 2*k + 5*k).\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 31*v**2 + 5*v + 63. Let q be z(31). Suppose -3*f = -j - j - q, 0 = -2*f + 4*j + 156. Calculate the remainder when 130 is divided by f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((2*(sqrt(363) + 3 + 3*sqrt(363) + sqrt(363) + sqrt(363))*3)**2 + 3 + -1).\nAnswer: 57024*sqrt(3) + 1883101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14203\/11 - -1291. What is the closest to -1 in k, -0.19, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -m + 3*w + 77, -9 = -3*m + 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -212116 - -1781?\nAnswer: -210335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*a - 9*a - 10, 0 = g - 5*a + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 88931*q + 355717. Calculate d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 34, 140, 352, 706, 1238, 1984?\nAnswer: 2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7592 and 12921.\nAnswer: 1343784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355589*n**2*y - 773*n*y + 3*n + 5*y - 30 wrt n.\nAnswer: -711178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -14. Let p(t) = t**3 + 21*t**2 + 103*t + 38. Let h be p(-12). What is the greatest common divisor of n and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 12384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 4 - (0 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 159, 641, 1445, 2571, 4019, 5789?\n\"Answer: 161*o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55955555.\nAnswer: 5, 2897, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 831 - 819. Calculate the greatest common factor of 11064 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 55*a**3\/3 - 8405*a**2\/2 - 1530*a - 2484. Find c such that y(c) = 0.\nAnswer: -2\/11, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83526 - 83529.5029. Round n to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8 = -9. Let l be 10*(1 - n\/(-2)). Determine q, given that q - 11 + 6 + 2*q**4 - q**5 + l - 2*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b - 27*b - 25*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4010 = 32*y - 33*y. What is y rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.65 + 32. Let w = s + 2.7. Let j = -81 + 1375\/17. What is the smallest value in 1\/3, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2346132 or 2346118?\nAnswer: 2346132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x - 116*x + 952 = 106*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450*f**3*u**2 + 65*f**3*u + 19*f**3 + 4810*f**2*u**2 - 7*f**2*u - f**2 + 3*u**3 - 36*u wrt u.\nAnswer: 900*f**3 + 9620*f**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 1, s: 7, n: 6}. Give prob of picking 1 n and 2 s.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.703 - 0.6519. Let j = 0.09 - w. What is j rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870686 (base 10) to base 6.\nAnswer: 30354542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158004758.\nAnswer: 2, 2333, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + -1 + sqrt(605) + ((-6*(sqrt(605) + 0))**2 - sqrt(605)) + (2 + sqrt(605) + 0 + sqrt(605) - ((sqrt(605)*-3 - sqrt(605)) + -4)**2).\nAnswer: -330*sqrt(5) + 12078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10*(-1 - -1). Put 1, k, -9, -1 in descending order.\nAnswer: 1, k, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by 5.\nAnswer: 236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11249013 divided by -387897?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 15840 = 184*u - 88*u + 195*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2\/157, -0.3?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16402491?\nAnswer: 3, 7, 19, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101 - -1?\nAnswer: -200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -41. Let x be (-3)\/(6\/10) - 0. Let v(z) = 3*z**2 + 7*z. Let m be v(x). Calculate the highest common divisor of m and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldol when four letters picked without replacement from {t: 1, d: 1, l: 6, k: 1, o: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141 - 1295*g - 141 to p*g + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 403 - 105 = 1. What is the remainder when 1599 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/39)\/(30\/72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) - 9\/4. Let m = -19 - -4. Let b = p - m. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -65*10\/50?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13425 times -0.2?\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4 - 2*d**2*l**3 - 19*d*l**3 - 229*l**3 with respect to d.\nAnswer: -12*d**3 - 4*d*l**3 - 19*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676*a**3*m*w + 2*a**3*m + 2*a**3*w + 1900*a**2*m*w + 2*a**2*m - a**2*w - m*w + w wrt a?\nAnswer: 4056*m*w + 12*m + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 9*v**2 - 9*v - 2. Suppose y + 6 - 18 = m, 4*m + 5*y = -30. Let c be b(m). Let n be (-5)\/(-20)*2*c. Is -6 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(77) - sqrt(77)*-1)\/sqrt(7)) + sqrt(99)\/(2*sqrt(9)) + 0.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 5*p**4\/12 - 10*p**3 + 90*p**2 + 15*p. Suppose o(y) = 0. Calculate y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13811 or -649144\/47?\nAnswer: -649144\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 16. Let p(h) = 6*h - 111. Calculate 2*p(s) + 15*y(s).\nAnswer: -3*s + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 8420013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 0.5 (c) 0.7 (d) 50 (e) 3\/2 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w + 20405 = -241*w + 8*w + 123*w for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 78 + 632 = 0. Let h(b) = 14*b**2 + g*b**2 + 7*b**2. Let l(n) = n. Calculate l(h(t)).\nAnswer: 298*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273360 divided by 6?\nAnswer: 636680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.119, -0.2, 7, -2\/7, 1 in decreasing order.\nAnswer: 7, 1, -0.119, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 7*m**3 - m**2 + 48*m - 5461. Give h(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -10*j**2\/7 + 7872934*j\/7 - 3149172\/7 = 0.\nAnswer: 2\/5, 787293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 14 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*s + 5*s. Suppose 3*i - s*i + 4 = 0. Let u(q) = -5*q + 6 - 4*q + q + q**i. Calculate u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 2*p + 19 = 0, 0 = h - 4*p - 11. What is the units digit of h\/(-6)*2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53953031.\nAnswer: 11, 4904821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 11*j + 18. Let s be o(12). Suppose 16 = -s*f + 10*f. Suppose f*y - 2*c + c = -56, -y + 4*c = -1. Is -15 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Let k(u) = -u + 1. Let p be k(1). Suppose 0 = -2*b + m - z*m + 5, p = 4*m + 12. Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(117))\/sqrt(9)*3)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 18. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39784181 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -56. Let n = z - 32. Suppose -n*w - g = -11 - 6, 0 = 5*g - 25. Solve -4*s = -w*b - 27, 3*s - 2*b = -0*s + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2198 - -4.2198. Which is the smallest value? (a) 0.1 (b) -2 (c) 3 (d) o (e) -7\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 16 = 24*y - 2*a, 5*a - 12 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z. Let b(f) = 31*f. Give d(b(q)).\nAnswer: -93*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5842, -5843, -5844, -5845?\nAnswer: -5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0673 and -224551?\nAnswer: 224550.9327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 0, -2*a - 5*h + 240 = 3*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from tngwgnvhggggnggvgnnn?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60, -58, -56?\n\"Answer: 2*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006843165 rounded to 4 dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Round -14730.69816 to the nearest ten.\nAnswer: -14730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718789867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 35, 89, 195, 371, 635?\n\"Answer: 3*t**3 - t**2 + 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111750735.2302094 + 111750758. Let g = -22.77 + z. Round g to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2 - 605\/(-275)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76013470 divided by 5847190.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 327, 344?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2\/9 (c) -11.26 (d) 2\/9025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((4\/2)\/((-40)\/(-6))). Calculate the remainder when 30 is divided by (-108)\/(-14) - j\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373, -4, 0, -1915, -5, 5, -9 in descending order.\nAnswer: 373, 5, 0, -4, -5, -9, -1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 65 and 0.618 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 6. Let j be n(-6). Suppose u - 5*u + 712 = j. Suppose g - u = -g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693931801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*v = 59*v + 25641. Solve -39*f - v = -64 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -23 + -23 + (-904631)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 - 2*m. Suppose -7*j = j - 48. Let l(r) = 17*r**2 - 3*r + 1. Let n(v) = j*l(v) - 10*z(v). List the prime factors of n(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 2187463*x - 32811936\/5.\nAnswer: -(x - 10937312)*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o = -27*o + 30 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3087 + 228*g**3 + 6172 - 3086 + 2*g as r*g + z*g**3 + a + q*g**2 and give z.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 68. Let i be (14 - (-10)\/5)\/(2\/8). What is the greatest common divisor of i and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560190 (base 11) to base 16.\nAnswer: da189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/5 + -19\/20. Let y = 184993.9 + -184993. Sort 2\/3, y, d.\nAnswer: d, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30023 (base 5) to base 8.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6121*q**3 - 10*q**2 - 3*q - 1 + 8*q**2 + 1623*q**3 - 1. Let k be c(2). What is k rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4667391 and 558?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21315 - -21315.140088. Let y = m - 0.14. Round y to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -911 - -49651.195.\nAnswer: 48740.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from kddrdbokkoobdrd.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 408452647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1349 = -5*q - 84. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/3 + 30530*d\/3 - 1323884 = 0.\nAnswer: -15394, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciz when three letters picked without replacement from {z: 6, y: 4, i: 1, c: 2, o: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 2, r: 3, l: 4, m: 2, b: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 331\/13 + -145296\/5707. Let f be 0\/1*17*(-8)\/272. Is f equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/3 + 1576*o**4\/3 + 630328*o**3\/3 + 2464864*o**2 + 7338288*o = 0. Calculate o.\nAnswer: -782, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91120 and 11390.\nAnswer: 91120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 7*h**2 + 4603*h**3 - 6*h**2 - 2 + 4532*h**3.\nAnswer: 9135*h**3 + h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11638 rounded to three decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -4. Let s be -1*(-1)\/(-3)*-18. Let o = 9 - s. Solve -o*i + n = 4*h - 4, -i - 5*h = -12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 691884560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302 * 132.\nAnswer: -39864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/2 - -71\/6. Let g = -25 + 22. Let y be (((-63)\/(-6))\/(-7))\/3. Which is the closest to o? (a) -5 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.4 + -11.4. Let r = 0 - 0.1. Let k = 8\/25 - -2\/25. What is the closest to 0.1 in f, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1276, -1284, -1292?\n\"Answer: -8*w - 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 4*g**2 - 9. Let k(q) = -q**3 + 2*q**2 + 4. Let f(u) = -7*k(u) - 3*t(u). Does 17 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4284 and 420.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988285?\nAnswer: 3, 5, 41, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 152*d**2 - 53*d + 155. Let p be s(35). Round p to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e8e (base 15) to base 3.\nAnswer: 111202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-2*p - p + 0*p + (3*p - 4*p + 0*p)*(0 + 3 - 4))*(7*p**3 + 10*p**3 - 2*p**3).\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*x**2 + 1420*x**2 + 1286*x**2 - 499*x**2.\nAnswer: 3563*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33796900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-62)\/(-36) - (2 + 5)\/14. Which is the second smallest value? (a) 1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -566*w + 477*w - 1069*w + (0 + 0 + 2)*(3*w + 3*w - 5*w).\nAnswer: -1156*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 292.60109 and 5?\nAnswer: 1463.00545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:24 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3080 and 66972745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582529703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y = 8. Differentiate 2*x**2 - 2 - 6 + 2*x**y with respect to x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16286.0328 milliseconds?\nAnswer: 0.00018849575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 + -98. Let z = r + -64.9881. Round z to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 153928*b - 4771787. Give s(31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - b + 5. Let i be o(-3). Let p(h) = 2*h + 7 - i - h + 13. Let n be p(6). Sort n, -2, 2 in increasing order.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 17724 = -4*h - 4*d, 4*h - 17728 = 2*d. Suppose -c - 1486 = -y - 2*c, -2*c - h = -3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200147499?\nAnswer: 3, 43, 517177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, w: 1, j: 1, e: 1}. What is prob of sequence wju?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.24 - -12. Let z = 0.15 + v. Round z to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.06, -0.5, -0.1, 3, -7.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 - 12*c**3 - 2*c**3 + 2*c**2 + 57 + 0*c**2.\nAnswer: -17*c**3 + 2*c**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10 = p. Suppose -5*c - 5*u + 70 = 0, u - 2 = p*c - 30. Let j = -10 + c. Solve 0 = -2*t - 6 + j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**4 - 326279*l**2 - 3137*l + 257 wrt l?\nAnswer: -84*l**2 - 652558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1709*-6*((-33)\/(-18))\/(-11). Suppose -3*a + 5466 - s = -2*w, 5*a - 2*w - 6263 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 16*u - 10. Is 4 a factor of n(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*g + 136, t - 141 = 4*t + 3*g. Let a be 3\/((1 - t\/(-54))\/2). Solve 3 + 422*i**2 - 3 - 414*i**2 + a*i**4 + 72*i**3 = 0 for i.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.7*-0.085\nAnswer: -0.5695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 20 - 3 = 2*s, -12*s + 7*s - 35 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o + 24*o - 13*o + (-4 - 13 - 5)*(0*o - 5*o + 4*o) + 0 + 0 - 2*o.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -165. What is the remainder when b is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 27. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + 31. Let v = 168 - k. Let o = v + -81. Which is the nearest to -0.01? (a) 5 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6565, -12772, -18979, -25186, -31393?\n\"Answer: -6207*k - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*u + 979*u - 488*u - 30*u**2 to the form b + a*u**2 + q*u and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6, 147.522 in descending order.\nAnswer: 147.522, 15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x. Suppose 0 = -2*r - 22 - x. Let q = r + 11. Solve q = -2*h + 9 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -265 - -57\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115603, -231207, -346811, -462415, -578019?\nAnswer: -693623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dqdqddqqqqdqwd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.495 + -0.525. Let v = l - 2.47. Let y = 0.2 + -0.1. Sort -3\/7, v, y.\nAnswer: v, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -121*n + 100. Is a(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22573.\nAnswer: 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(5\/(-9)*(-9)\/27*8712\/220)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 38 + 4 = 3*l, 4*w - 2*l = 16. Suppose -u = -2*u + w. List the prime factors of (u\/(-15))\/(1\/(-35)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14)*1)\/((-9)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c - 0*c. Suppose c = 3*x - 368 - 361. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*y - 52 = -4*y, -r + 4*y = -50. Suppose 0*l + 2*l + 40 = k, -2*k = -l - 71. Let x = k - r. Solve x = 2*c + 3*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 + -53. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h - 17*h + 11*h + 14*h**2. Let z(u) be the first derivative of u**2\/2 + 391. What is z(p(x))?\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 367557438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -52*v + v**3 - 4*v**3 - 2*v**3 + 56*v. Let l(i) = -2*i**3 + i. What is -7*l(k) + 2*x(k)?\nAnswer: 4*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 2. Let u = 134986 - 134978.3. What is the second smallest value in -1, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 h when four letters picked without replacement from {p: 5, h: 1, j: 5, m: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/5)\/w**(4\/5)*w**2*(w\/((w*w\/(w*(w**(-2\/3)*w)\/w))\/w*w))\/w assuming w is positive.\nAnswer: w**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7 + 3*o**2 + 5 + 2*o - 3. What are the prime factors of t(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 20 = -13*r. Suppose r*n = -2*n + 370. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199977787?\nAnswer: 41, 4877507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.103 + -0.123. Which is the second biggest value? (a) l (b) -3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + -2?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41619\/266 - 138\/133. Let j = i + 134. Find the common denominator of -1 + 2 - (-345)\/70 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*a + 300*a + 297 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175 divided by 75?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2*(-5)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 6. Let a(f) = f**2 + 5 + 5*f**2 - 15*f**2 + 5*f**2. Calculate 6*a(p) + 5*h(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (3 - (-7 - -13 - 11)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Put -4, 4, s in increasing order.\nAnswer: -4, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 23. Suppose -z + 5*p + 4 + 9 = 0, -2*z + d = -3*p. Suppose 2*t - 6*t = -z*s + 6, 5*t = 0. Solve -3*n + 4*n = 1, 4*n - 12 = s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -34. Let n = -1574 + 1574.2. Which is the closest to 6? (a) 3\/7 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2794*d + 491. What is the remainder when p(0) is divided by -13*(-1)\/(1 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 + -2 + (-1 + -26 - -14) + 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-188)\/(-16))\/(2*(-2)\/(-48)). Suppose p - 75 = -3*n + t, 832 = 4*p - 4*n. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23326.\nAnswer: 2, 107, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416305.\nAnswer: 5, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 16?\nAnswer: -19\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1009000 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12*-6)\/(8\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 - 231*z + 213. Calculate x(38).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**3\/3 + 17*h**2\/2 + 19*h + 1. Suppose -2*p = -5*r - 42, -11 = -p + 3*r + 11. List the prime factors of m(p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 2*v**3 - v**3 + (4 - 4 + 5*v**3)*(-9 + 3 + 54).\nAnswer: 239*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 3*p + 30 = 0, 13873*p = 2*r + 13872*p + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**3\/2 - 3*n. Let y(x) = -2*x**2 - 7. Let t(l) = l**2 + 3. Let m(h) = 14*t(h) + 6*y(h). Determine m(r(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from llllcclcllclllcl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 422598?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**6 - 45*c**4 - 889*c**2 wrt c.\nAnswer: -240*c**3 - 1080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 12*m + 22. Suppose 0 = 27*o - 8*o + 190. What is v(o)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 610 - 595. What is the greatest common divisor of 675 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/2, -0.4, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d. Let h(j) = j**2 + 4*j + 5592. Give f(h(q)).\nAnswer: 10*q**2 + 40*q + 55920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 + -2 - -1. What is the tens digit of 4 - (16 - 2)*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvf when three letters picked without replacement from cvcffvlvfccc?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i - 4 + 13*i**2 + 23*i + 3 - 36*i as x*i**2 + k + a*i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(5\/(((-280)\/(-8))\/(-7))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/136 + (-279)\/72 + -4 - 18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 977, 1665, 2355, 3047, 3741, 4437?\n\"Answer: c**2 + 685*c + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -13. Let x = -19 + c. Let f(v) = -x*v + 1 + v**2 + 0*v**2 - 7. Determine f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 5, -4370 in ascending order.\nAnswer: -4370, -16, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*w - 235, -4*w + 2*x + 208 = -2*x. Suppose 15*b - 5 - w = 0. Solve -o = b*j + 3*o - 16, -5*j - 4*o + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {i: 1, n: 1, p: 1, j: 2, s: 1, r: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (2 - 2 - (9 + -13)) - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 17*h**2 + 5*h - 9. Calculate i(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 15 = 4*v. Suppose -x = v*t - 163, -x + 231 - 64 = 2*t. Let f be (-23 + 24)*(26 + -1). What is the highest common divisor of x and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83 - -145?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 197 - 164. Calculate the greatest common factor of m and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39718793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6115328 divided by 764416\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 4 + 3 + (-2 + 4 - 4)*(-13 - 12 - 18))*(24*l - 24*l - l**2 + 1) to the form q*l**2 + d*l + w and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 1. Let l(p) be the first derivative of p**3 - p - 44. Let t be l(b). Solve -2*c + 6 = -2*x, 5*x - c - 7 = -t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - z - 6. Let i be o(5). Let d = -139032 - -139049. What is the remainder when d is divided by (-51)\/(-7) + (-4)\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**3 + 6*t**3 - 6*t**3 + (3*t**2 - 4*t + 4*t)*(-4*t + 3*t - t))*(3*t**2 - 5*t**2 - 22*t**2).\nAnswer: -48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*j - 0*j, 5*d + j = 12. Suppose 0 = -2*l - 4*i - 26, -22 = 4*l - 5*l + 5*i. Calculate the remainder when l\/9 - 10\/(-3) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 4\/3*u**2 + 1\/60*u**5 + 1\/6*u**4 + 0 - 27*u + 2\/3*u**3. Factor t(r).\nAnswer: (r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15915, 4\/7, 23, 2\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*3)\/((sqrt(54)\/sqrt(3))\/sqrt(2)) - ((-4*(sqrt(1053) - sqrt(1053)*-1))**2 + -3*1*sqrt(117)).\nAnswer: -67392 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**5 + y**4 + 2*y**2 - 2. Let u(i) = 979*i**5 + 6*i**4 + 12*i**2 + 1096*i - 12. Let r(q) = 6*f(q) - u(q). Find the second derivative of r(n) wrt n.\nAnswer: -19460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -64. Let y = d - -236. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88738 is divided by 292.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9153 and 3277.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(20\/(-6))\/(-5). What is the tens digit of 313\/3 + 2\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 40 = 4*f, 2*f - 20 = 3*c - 0*c. Suppose 3*t - g = g + 114, -152 = -4*t - 5*g. Let k = -38 + t. Solve k = -4*d - d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 - 5 = 0. Let d be (q - -13)\/((-2)\/(-20)). What is the greatest common factor of d and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/2 - 90*k + 549\/2 = 0. Calculate k.\nAnswer: -183, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 - -130. Let s = y + 1022\/5. Find the common denominator of (-3 - (-39)\/24) + -2 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.852 plus -58.4335?\nAnswer: -81.2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/24 - 22\/8. Let j be (-2)\/t + 24\/18. Let q(y) = y - 3. Let c be q(4). Solve j*b - 2*m = 10, -5*m = b + 2*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193246?\nAnswer: 2, 23, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d**2 - 26*d - 4. Let n be i(7). Suppose -2*a + n = 2*s, -a = 2*a + 5*s - 1491. What are the prime factors of a?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m + 11. Let p(c) = 45*c + 100. Let r(t) = -6*p(t) + 55*x(t). Let h be r(-7). Let q = -13 - h. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g = 39*g + 177*g + 835 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 114795, 114766, 114701, 114582, 114391, 114110?\n\"Answer: -3*n**3 - 8*n + 114806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millisecond in microseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 54 + 26. Let j = m + 34. 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 the third smallest value in -3, 2, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/252 and 53\/1902.\nAnswer: 79884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:22 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0494 - 3.9506. Which is the closest to -2? (a) 9 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.94 + 7. Let l = j - -0.04. Let q = -1 - -1.2. Which is the nearest to 0? (a) -2 (b) q (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-4)))\/f*f*f**(-6\/17))\/((((f\/f**14)\/f)\/f)\/(f**(-2\/11)\/f)))**(10\/7) assuming f is positive.\nAnswer: f**(17700\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 10) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -22. Differentiate 2 - 5*p**4 + 2*p**4 + 2 - p**t with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 5*l - 16 + 3*l**3 + 0*l**3 - 2*l**3 + 13*l**2. Suppose 4*u = 6*u + 24. Let j be i(u). Solve 7 = -2*q + 3*t, 3*q + 3*t + 26 = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*i - 29 = 5*i, -4*o + 3*i = -24. Suppose o*d + 6 = 24. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 3. Let f be b(-2). Let l = f + -4. Solve 4*c = 3*k - 11, 0 = l*c + k + 2*k - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15825?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -35.024. Let m = -27.024 + u. Let q = -27.0000022 - m. What is q rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 1. Let r(i) = -3. Determine 3*r(k) - u(k).\nAnswer: -4*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1912 = 8*d - 4*d, 0 = -4*z - 3*d + 2561. What are the prime factors of z?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 3.4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.193 or -3516?\nAnswer: 2.193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 68 - 468. Let j = y + 140. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 4, i: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -356284 - 146*h**2 + 356284. Let z(d) = 3*d**2. Determine z(o(v)).\nAnswer: 63948*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*h - 158, 3*h = 4*f + h - 668. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let c = -175 + 1747\/10. Is c at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, r: 3, h: 2, j: 4}. Give prob of sequence rhjj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2464138497 or -2464138498?\nAnswer: -2464138498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0 = 5, 2*w - 153 = -k. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 686137\/6786 + -5391\/58. Let y = -96\/13 + i. Find the common denominator of y and -139\/390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:14 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*t**3 + 33*t - 64*t + 32*t.\nAnswer: 568*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 0*b**4 - 3*b**4 + 4*b**4 + 0*b**4 - 2*b**4 + (-b**2 + 2*b**2 + 0*b**2)*(-2*b + 2*b + b**2) + 3*b**4 - 2*b**4 + 2*b**4.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334 and 19340206?\nAnswer: 3229814402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(1972\/1530) + (0\/(-6) - -7).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**3 - 8*g**2 - 68*g + 251. Calculate p(3).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54\/12)\/((-21)\/(-14)). Let r(b) = 2*b**2 + 13. Let k(s) = -s**2 - 6. Calculate a*r(m) + 7*k(m).\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12261127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -32*k - 10. What is b(2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99887*o**6 - 5*o**5 + 580626*o**2.\nAnswer: -11986440*o**3 - 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3 - 3203*q + 1 + 3143*q - 36 + 5*q**2. Differentiate g(z) wrt z.\nAnswer: 6*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 73. Suppose -32 - 122 = -11*j. Is j at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 2*a**2 + 15*a + 6. Let s be g(-10). Let y be (6\/4)\/((-12)\/s). Suppose -y = -2*v + 181. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (19 + -31) - 21) + 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -351, -794, -1415, -2214?\nAnswer: -3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4*z + 4*z)*(-148*z + 253*z + 292*z)*(0 + 1 - 9).\nAnswer: 6352*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ccdcdccddccdccdcccc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:44 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-6)**2 + sqrt(5) + 0 + -4 + -4 + sqrt(5) + sqrt(180).\nAnswer: 80*sqrt(5) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -837 divided by -17.\nAnswer: 837\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-49))\/(3\/(-3))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0c (base 13) in base 7?\nAnswer: -4651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15) - (-24)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.12. Let i = w + -0.35. Let v = 60 - 303\/5. Which is the biggest value? (a) v (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/9 - 34*q**4\/9 - 191*q**3\/9 + 10*q**2\/9 + 608*q\/3 + 288 = 0. Calculate q.\nAnswer: -27, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -65 and 3.5.\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {c: 2, y: 1, d: 1, t: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -329*q + 25337. Let j be d(77). Factor 276\/5*h**3 - 596\/5*h**2 - 162\/5 + 2\/5*h**5 - 42\/5*h**j + 522\/5*h.\nAnswer: 2*(h - 9)**2*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 5*i)*(-1 + 0 + 2) + 6*i + 0*i + 1255 - 10*i + 6*i - 4*i to a + g*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f - 6. Let m be (2\/6)\/(f\/(-12)). Solve m*d = -5*k - 21, -2*k = -5*d - 3*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81334686 is divided by 167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**6 - 114*y**4 - 5*y**3 - 10749*y**2?\nAnswer: -120*y**3 - 2736*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110010 - 2?\nAnswer: -110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10740*m**2 + 39179650*m - 39179650*m + (0*m - 2*m**2 + 0*m)*(-1 + 4 - 1) in the form g*m**2 + r + k*m and give g.\nAnswer: 10736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3 + sqrt(1700) + -1 - sqrt(1700)) + -3 - (6*(sqrt(1700) + 1 + sqrt(1700) + 1 - sqrt(1700)))**2).\nAnswer: -61354 - 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 7*z**2 + 9*z - 4. Let w be l(8). Suppose 7*m - 12*m = 0. Solve -4*d - 3*g = 2*g + 5, -4*d + w*g + 40 = m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72943, -145884, -218825?\n\"Answer: -72941*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**2 - 98*h**2 - 87*h**2.\nAnswer: -214*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 89*k**5\/60 - 11*k**4\/6 + k**3\/2 - 229*k**2. List the prime factors of y(4).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let w be -3 - -5 - (-1 + -2). Suppose -3*v - 4 + 14 = -5*p, -w = -5*p. Put -5, v, l in descending order.\nAnswer: v, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/36917 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 - 8\/(-90). Let l = 19\/28 - 3\/7. Let k = -0.054 - 0.046. Which is the closest to l? (a) i (b) -4\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 8.9, 2688 in increasing order.\nAnswer: -4, 0, 8.9, 2688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 4) + (-7 - (2 - 24))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -c, -9 = -4*c - f + 3. Suppose 9*v + 2266000 = -c*v. Round v to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 279, 0.1, -143, 1, 5?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(171)\/sqrt(36))**2)*-1 - 2*((sqrt(19) - 2*(1 + sqrt(19))**2) + -4)) + -1.\nAnswer: 6*sqrt(19) + 333\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 3*m + 2. Determine c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440823 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 78 = 14*h. Suppose -155 + 38 = -h*r. Solve -2*i + 0*k = k - r, i = -5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69441087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -1763\/2065 + -1\/295. Let f be (-1 - -3)*-5 + (-201)\/(-18) + -1. What is the smallest value in 5, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 191 in 0.5, -1\/4, -0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39212.99949 rounded to the nearest 10?\nAnswer: -39210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -284206487?\nAnswer: -284206487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3*w**2 + 2*k**3*w - 25*k**2*w**3 - 57*k*w wrt w.\nAnswer: -4*k**3 - 150*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30259051 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038408 less than 0.1?\nAnswer: -2038407.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 - (0 + -1). Solve 0 = -t - u - 0, 4*t - 4 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/5 - (1 - -3). Let d = k + 16. Solve -d*g = g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjjzzzzzdjdjdjzz. Give prob of picking 1 d and 2 z.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 37 = 6*n. Calculate the remainder when (61\/122)\/(0 - (-2)\/(-1772))*-1 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26*a. Let q(h) = -9*h. Let m(y) = 6*p(y) + 17*q(y). Let l(n) = 5*n. Calculate m(l(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9549 + -0.0451. Let g = -34 + 48. Is g greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -283338, -1133343, -2550018, -4533363?\n\"Answer: -283335*a**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -106220, -212430, -318614, -424772?\n\"Answer: 13*a**2 - 106249*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9581 = 50*q + 250*q - 2381 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 15*b**2 - 13*b - 2*b**2 + 9*b**2 - 4. Let p be m(-6). Solve 20 = -8*v + 3*v + 5*x, 4*x = p*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3381, 3462, 3801, 4398, 5253, 6366?\nAnswer: 7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181623315 to the nearest integer?\nAnswer: 13477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 6*k = -693. Calculate the lowest common multiple of 105 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1601478 divided by 282.\nAnswer: -5679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:42 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -12. Let u(s) = -2*s + 11. Let z be u(w). Let b(h) = -h**2 - 7*h + 2. Let v be b(z). Calculate the highest common factor of 96 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-510)\/(-420))\/((-1)\/(-6)) - 7. Sort -9, j, -1, -1\/8, 1.\nAnswer: -9, -1, -1\/8, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.22*-8\nAnswer: 9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 79. Let q = -28 + l. Suppose 615 = q*w - 3*n, -2*n + 123 = w + 2*n. What is w rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28847 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 189*t + 10942. Calculate g(-58).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 36*c**2. Let r(w) = 11*w + 18. Let n be r(-4). Let l = -4 - n. Let s(p) = -p + 9 + 13 - l. Determine a(s(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxxjxxxx.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 6. Let l = 41 + -40.9. Let r = l + -0.19. What is the biggest value in r, d, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 108859 = 50773. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 7) to base 11\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 303 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -568273\/7740510 + -5\/23106. Calculate the common denominator of 64\/33 and j.\nAnswer: 11055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10*(-1 + (-3)\/15). Suppose 2*b - 3*j + u = j, -3*j = 2*b - 9. Let r(t) = -t**3 - t**2 - t + 2. What is r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 90) + 31 - -21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 50 (b) -108 (c) 14 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 1\/20, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8 - 22 + 19 + y**2. What is the hundreds digit of r(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 10*a**2 - a. Let q be (32\/(-24))\/((-2)\/(-6)). Let d be 0 + q + 8 - 14. Let i be j(d). Solve 4*w = 2*w - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85059219*c**4 - 84530691*c**2 wrt c.\nAnswer: 2041421256*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -4, -30, 4.\nAnswer: -42, -30, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = 14. Let f(s) = 1 - 3*s - s + 8*s**2 + 5*s. Let a be f(z). Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 3*t - 4*t)*(-1513 - 39*t + 13*t + 214 - 275) as d + q*t + p*t**2 and give q.\nAnswer: -1574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8391760 and 282415.\nAnswer: 58742320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) + 70\/(-21). Let q be (-2)\/2*o - -2. Put q, 2, -4 in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d**3 - 85*d**2 - 44*d + 195. Give k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39985596*t**2 + 47277152*t wrt t?\nAnswer: 79971192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 19*i**2 + 2095*i - 37645. Calculate h(18).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.165 times -12952.38?\nAnswer: 2137.1427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 24*v + 52\/5*v**2 + 0 + 4\/5*v**3 = 0.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27433469 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b4ab0 (base 13) to base 9.\nAnswer: 3357721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0218 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 1 + 15*g - 1.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let l = 0.5 + d. Let x = 557\/45 + -63\/5. What is the third smallest value in x, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 3*y - y)*(-4 + 3 + 3) + 43 + 10*y - 43 in the form r*y + c and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -244*h + 36*h - 43*h + 3514 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from qccqqccqccczqbccqcbq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 18, 36, 70, 126?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + x - 20, 1588*f - 105 = 1591*f - 18*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*o - 16, -2*q + 0*q + 13 = 3*o. Factor -2*r**3 - r**3 + 6*r**q - 13*r + 3*r + 4 + 5*r**3 - 2*r**4.\nAnswer: -2*(r - 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*h - 16520 = -394*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from fpfkflliflliopk.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m + 4*s = 8, 5*s = -15. Let q be 72\/m*(0 - (-10)\/6). Suppose -5*n - 15 = -q*n. Solve 2*a = -a + n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853 = 86*j + 920 - 1991 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-320)*-4)\/(70*21\/350)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210755\/27588 - -944\/121. What is the common denominator of 9\/11 and q?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 7. Let f(r) = 2*r + 2. Let w(x) = -5 - 6*x + 2 - 2. Let t(j) = -8*f(j) - 3*w(j). What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 110 + 34. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 89.3584?\nAnswer: 89.3584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/12)\/5*19\/95*-20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2669502 + 42.\nAnswer: 42.2669502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*x + 149 - 149)*(x**3 - 2*x**3 - 2*x**3) in the form o*x + w*x**2 + c*x**3 + m*x**4 + t and give m.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 1. Suppose -25 = 5*p - x, 4*p - x = -5*x - 44. Let v(g) = -g + 13. Let l(y) = p*n(y) + v(y). Differentiate l(t) with respect to t.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 149*x + 1367. Determine h(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 14 - 19 + 5.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 63.2. What is the second smallest value in j, 10, -5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18935 and 49805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5525 (base 7) in base 12?\nAnswer: -118b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + -9 - -32) + 5 + -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -10*g - 326. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 838 + -839. Let c(v) = v**2 - v + 1. Let r(p) = 3*p**2 - 7*p + 3. Calculate f*r(s) + 5*c(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*l - 162*l + 4*l**4 + 4*l - 4*l - 2*l**4 + (5*l + 8*l - 9*l)*(0 + 2*l**3 + 0) as p*l**4 + o*l**2 + w*l**3 + d + t*l and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 - (11 - 299\/26). What is the units digit of y*((-28860)\/(-143) + (-6)\/(-33))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 37 = -2. Suppose 1380 - 465 = n*j. Let b = j - 100. List the prime factors of b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 10*h - 9513 = 0. Suppose -c - 3196 = -4*o, 2*c - 2636 = -5*o + h. Round o to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c - 2*c**3 - 17*c**2 - c**3 + 10*c**2 + 2*c**3 + (-3*c**2 + 3*c**2 - 2*c**2)*(0*c + 5*c - 2*c) + 2*c**3 + 3*c**3 - 3*c**3.\nAnswer: -5*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1767666576 - -76657512557071\/19502665333008. Let x be (-3)\/((-3009)\/(-979)) - -1. Let a = z + x. Find the common denominator of 37\/2 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*q**2 + 426*q**2 - 143*q**2 - 138*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21456 divided by 596\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, z: 1, j: 1, q: 1, l: 1}. What is prob of sequence ldz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 7.\nAnswer: 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2633 = -p + 4*o, -11*p + 15*p - 10549 = -o. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722989299 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + 151*u + 57 - 21 + (0 + u + 0)*(1 + 6 + 0).\nAnswer: 158*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:14 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 38, 77, 130?\n\"Answer: 7*y**2 + 4*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 386332099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b + 6 = -60*b, 12 = 2*h + 3*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 14*t**2 + 136*t + 1411. What is n(-13)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 + 92*w + 480 = 0. Calculate w.\nAnswer: -40, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50919566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/41868 and -151\/18.\nAnswer: 41868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*d - 11 + 37 - 10).\nAnswer: 4*d + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 620413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 50*g - 3. Let p be z(14). Suppose 0 = -7*y + p + 626. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588947.1 years in months?\nAnswer: 7067365.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239 + -38. Let j = 178.4 - x. Which is greater: -0.1 or j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4104040994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.761 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y**2 - y + 8. Let o be a(-4). Let l(n) = 16*n + 4. Calculate l(o).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2139 and 9198?\nAnswer: 6558174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 234 = -5*l, 2*b + 2*b - 180 = -4*l. Suppose 8*h = l + 98. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -295 + 299 + -1 + -17 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1190 divided by 1\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 462\/132 - ((-4)\/(-1) - 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -56 + 48. Let s = -413 + 418. Solve -s = -3*d + o*b - 13, -b = 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1055405 - 2500?\nAnswer: 1052505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/7 + 585*a**3 + 24651*a**2\/7 + 37005*a\/7 + 16452\/7 = 0. Calculate a.\nAnswer: -4, -1, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14353959767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4134*o + 4137*o + 4*c = 2, 3*c = -5*o - 15. Let w(x) = -3*x + 8. Let t(a) = -2*a - a + 2*a + 1. Give o*t(m) + w(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.378 and 1040.3.\nAnswer: 1044.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/30*(1 - -29*7). Suppose 2*d - 4*k = 68, -5*d + 4*k + 110 + 60 = 0. Calculate the highest common divisor of z and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7373\/4 - 1888. Let s = h - -45. Which is the fourth biggest value? (a) -0.1 (b) -0.5 (c) -3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*c - 18. Let p = 3 - c. Let w be ((-9)\/(-2))\/((-6)\/p). Is 6 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 25302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 27. Let k be o(-8). Suppose k*t - 1287 = 8*t. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -3 + -2 - -10) + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 247 in 3\/5, 4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0)\/(-2) - 19450\/2310. Let r = -5\/33 + k. Find the common denominator of r and -21\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -20*t**3 - 90*t**2 + 3*t - 381. Is f(-34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -107. Suppose -4*p - r = -2*z, -5*z - 18 = -2*p - 5. Let c(w) = 2*w + 14. Determine c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -74*v**2 - 77*v. Let z be q(-1). Solve z*c + 3*m = -15, -5*c + 17 - 18 = -3*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(1 + 2*j - 1)*(-41 - 66 + 199)*(2 + 1 - 1).\nAnswer: -368*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-1 + 0 + 0). Let w(j) = -4*j**2 + j + 7. Let d(a) = a**2 - 2. Let v(f) = r*w(f) + 7*d(f). What is the second derivative of v(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -705078910 to the nearest 1000000.\nAnswer: -705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(176\/44))\/(2\/((-8)\/(-10))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-12)*h*h)\/(h**(-9)*h*h))\/((h**(1\/3)\/h)\/(h\/(h**2\/h))))**(-12))**(-3\/8) assuming h is positive.\nAnswer: h**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2373596696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + v. Let w be q(-2). Suppose -5*j = -j, -w*a - 12 = -2*j. Let i(c) = -c**3 + 3*c**2 + 4*c + 1. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296161 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 21\/(-9). Let l = 12 - x. Let m = l - 11. Solve o - m = 4*c, -o = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101101001010001?\nAnswer: -101101001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 69*h**2 - 53*h - 228. What is the tens digit of o(-68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*m + 30 = -0*m, -2*b - m = -6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as 14\/133657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k, 2*k + 3*k - 5 = 4*h. Suppose -h = l - 2. Is -6 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - ((-456800)\/55 - 66\/121).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 507649.45 to the nearest 100.\nAnswer: 507600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let d(b) be the first derivative of 4 - 9\/2*b**2 + 0*b. Give h(d(q)).\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*x + 1743 + 6141. List the prime factors of x.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-16))\/((-6)\/16). Calculate the least common multiple of z\/(-21) - (-116)\/14 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 66*h + 1257. What is c(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5850043 divided by -47.\nAnswer: -124469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, 808, 2870, 6894, 13534?\n\"Answer: 109*o**3 - 9*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68695405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 + 2)*(-13*o + o - 15*o)*(0 + 1 - 2)*(-3 + 7 + 1) + 2*o + 3 - 3 to g*o + v and give g.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -445651087*t**3 + 40117651*t.\nAnswer: -2673906522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40303 less than -0.9101685?\nAnswer: 40302.0898315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - x**2 - 5*x + 8. Let m be n(2). Suppose -m + 2 = -4*z, -2*p - 24 = -z. Let r(f) = 2*f + 14. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79259, 158791, 238301, 317789?\nAnswer: 397255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q - 39. Let z(h) = -27*h - 69. Let v(f) = 7*a(f) - 4*z(f). Let d(i) = 9*i. Calculate d(v(y)).\nAnswer: 90*y + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 57*t**3 - 45*t**2 + 21*t + 102. Let j(s) = -11*s**3 + 9*s**2 - 4*s - 20. Let h(o) = -21*j(o) - 4*v(o). Factor h(x).\nAnswer: 3*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 times -0.02\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5\/7 + 3*q**4 - 33*q**3\/7 - 57*q**2\/7 + 114*q\/7 - 48\/7 = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + i + 17 = 0, 0*i + 2*i + 19 = 3*n. Suppose 0 = 2*u - n*u + 48. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 41*t**2 + 50*t. What is d(-2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -791969 and -0.08?\nAnswer: 63357.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -19*a - 7*a + 7*a + 1. Let d(n) = -2*n - 11. Let l be d(-4). What is the tens digit of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 6*c + 9. Suppose -3*d + 4*y = -2*d + 16, -3*d + 2*y = 28. Determine r(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-630)\/28)\/(-45)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13059 divided by -4\nAnswer: 13059\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 7999.\nAnswer: -1\/7999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - 12*l - 10. Calculate f(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1811239331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)\/s**(-2\/7)*(s**2\/s)\/s*s*((s\/s**(-1\/6))\/s)\/s*(s**(1\/4))**(3\/5)*(s*s**0*s)**34 assuming s is positive.\nAnswer: s**(9511\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-520)\/60)\/(2\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Let n be (-6)\/9*3\/(-2). Suppose -3*f = 3*r - j, -r = -6*r + 4*f + n. Do 1 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13860 divided by -396.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5699743 and 11.\nAnswer: 62697173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -365*n - 2046. Calculate the remainder when u(-6) is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -10\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 10\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 993307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 5*n - 135*z + 138*z, -7*n - 5*z = -80 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/((-12)\/6). Let y = p - -6. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*m + 13. Suppose -297 = -2*o + 5*o + m*c, 4*o + c + 379 = 0. Calculate the remainder when o\/(-6) - ((-8)\/6 + 2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p - 5. Let y be l(5). Let n = y - 0. Suppose 7 = -3*g - i, 2*g + 4*i = 3 + 9. Put g, n, -3 in descending order.\nAnswer: n, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/15 + k**3\/3 - 30*k**2. Let m(t) = -21*t**2 + t - 10. Give -11*h(i) - 2*m(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3596 - -3593. Sort -42, h, -7.\nAnswer: -42, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + -10 + -34 + 43\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 13) to base 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1783, -1773, -1763, -1753, -1743?\n\"Answer: 10*o - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2. Let r(c) be the third derivative of 0*c**3 + 0*c**4 + 0 - 37*c**2 + 0*c - 13\/60*c**5. What is r(b(q))?\nAnswer: -208*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/13 + 96*w\/13 - 94\/13 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30294 is divided by 5046.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226982022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 - 4*p + 10. Let c be t(-5). Let r(m) = 17*m - 9. Calculate the remainder when r(c) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -26*x**2 - 7*x - 8. What is n(-3)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-759)\/414*6)\/4\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 2*o - 12, a + 0*o = -o + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*l**2*o*t**2 + 18*l**2*o*t + 396*l**2*t**2 + 36*o*t**2 + 3*o*t - 192*t wrt t.\nAnswer: -62*l**2*o + 792*l**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.7 - -40. Put -1, h, 0.2 in ascending order.\nAnswer: -1, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29049383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-25)*b**(-19))**(-29\/5) assuming b is positive.\nAnswer: b**(1247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 188, 282, 376?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 41. Let f = 15 - 11. Suppose 0 = -2*a - 0*a + 6. Solve a*u - 4*g + 21 = 0, l = -u - 3*u + f*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzqqcczzccczczzqczc. Give prob of picking 1 z and 2 c.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/5*-38. Suppose -4*r - 5 = p. What is the units digit of (-1)\/(2*3\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 30*p**2 - 4*p + 7. Suppose 5*d + 3 = 6*d. Is g(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*((4*y**2 + 2*y**2 - 3*y**2)*(0 - 1 + 0) + 2*y**2 - 4*y**2 - y**2) + y**2 + 0*y**2 + 4*y**2 in the form d*y + h*y**2 + a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 15. Let r be 2\/34*(-1)\/a. What is the biggest value in r, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 + 53*y**3 - 19*y + 9?\nAnswer: -12*y**2 + 318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 48043286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 - 3*z + 1. Let f be v(4). Which is the nearest to -0.2? (a) -0.5 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40059404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 33. Which is the closest to s? (a) 4 (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from xfkvaxfxvxfffaf?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 23. What is the smallest value in -3\/4, -0.2, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441064363 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 145 = 4*d, -3*d = 3*u + u - 116. Let b(z) = 2*z - 5. Let k be b(-4). Let t = u + k. What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 852*d + 1044*d + 1298*d in the form k*d + l and give k.\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/((-27270)\/108))\/(6\/25).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**3 + 6*n - 3. Let f be b(2). Let o be (5 - 225\/(-10))*2. Calculate the highest common factor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -45. Let p be (-24)\/z*((-21)\/10)\/(-3). Let s = -310 - -310. Which is the second biggest value? (a) p (b) s (c) -3\/10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 35. Let i be j(-6). Solve -i*y - 8 = b, -4*b = y + 1 - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (4 + (-10 - -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 x when four letters picked without replacement from {x: 4, w: 7, h: 6, v: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:06 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 24. Let i be l(-13). Suppose -1152 = 5*z - i*z. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-3 - 96\/(-1). Let w(s) = a - 21*s - 92 - 17*s. What are the prime factors of w(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = 4*x - 3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 7:46 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 398, 800, 1204, 1610, 2018, 2428, 2840?\n\"Answer: l**2 + 399*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*u + 28. Let y be (u - 0)*6\/(-6). Let c = y - -23. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28961*q**4 + 12*q**3 + q**2 + 589357756*q?\nAnswer: 347532*q**2 + 72*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 55 + 14 + 11 + 26*r + 22.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 45.7. Let a = l + 7. Let s be (-6)\/12*(-1)\/2. What is the third biggest value in s, 0.5, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 32 = 7*r - r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 999, 1000, 1001, 1002, 1003, 1004?\n\"Answer: p + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (182\/2639 - (1 - (-489)\/(-58)))*4\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (13 - 26 - -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77*(-2)\/2*51*(-200)\/83300?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 106*u - 848. Let q be d(8). Suppose -2*i - 2*l = 14, 22 = -5*i - l - 13. Sort 1, i, 4, q.\nAnswer: i, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -41, 3, -5 in decreasing order.\nAnswer: 3, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-10))\/((-6)\/8). What is the remainder when 28 is divided by (u - 1)*(-45)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, 5 in increasing order.\nAnswer: -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/3 + 4659074*l + 27954452\/3 = 0.\nAnswer: -2, 6988613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180070 by -2.\nAnswer: -90035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -53, -79, -83, -47?\n\"Answer: 3*a**3 - 16*a**2 - 3*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/19, 1, -19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(315)\/sqrt(7)))**2 + (1*sqrt(13)*-4*2)**2 + (-3 + -2*sqrt(1053) + 0 + 3)**2.\nAnswer: 45409\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171924 rounded to the nearest one thousand?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**3 + 79*o**2 + 290. Give r(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 9*x**2 + 12*x + 5. What is o(-9)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3908337 - 0.082436024\nAnswer: -3908337.082436024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 - 7*k + 6. Let b(t) = -t**2 + t - 1. Let d = -116 + 115. Let s(m) = d*f(m) - 5*b(m). Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -1 - -5 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:09 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/9 - 16000108*p\/9 - 32000432001458\/9 = 0. Calculate p.\nAnswer: -4000027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -170 (base 10) to base 6\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26528480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2536140000 = 12*i + 31*i. Round i to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312457782?\nAnswer: 2, 3, 7, 13, 227, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -668*c**2 + 2681*c - 43. Calculate y(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, h: 10}. Give prob of picking 1 h and 2 x.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 + 385. Let q = -59 + h. Suppose -5*r + q = -0*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3687 + -3776.16. Let g = p - -89. Suppose 3*t - 4*t = 0. What is the nearest to t in 2\/17, -0.4, g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1115?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 432, 645?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1100413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 679, 721, 763, 805, 847, 889?\n\"Answer: 42*h + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + z = -2*d, 2 = 3*z + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7995, 7994, 7993?\n\"Answer: -f + 7996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1320235686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = 1. Let o = x - 5. Find the second derivative of 2*q**3 + q**3 + 3*q + o*q**3 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2480764, 2480760, 2480754, 2480746, 2480736?\n\"Answer: -y**2 - y + 2480766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7432*j**2 - 7432*j**2 + 31*j - 4*j**3 in the form a*j**3 + d*j**2 + b + l*j and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8276*j**2 - 9*j**3 + 8276*j**2.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/7, -2, 0.072, -77 in decreasing order.\nAnswer: 0.072, -12\/7, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*i - 3543 + 1756 = 2233 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -290, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3060 - -3120. Calculate the greatest common divisor of 100 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -445 + 71?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(87\/116)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.111 + 130607226.\nAnswer: 130607223.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Let i = 1.5 - r. Let q = 2\/117 - 125\/468. Which is the nearest to q? (a) i (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 - 147. Let w(v) = 7*v**2 - 4*v**2 + 12*v**2. Let c(r) = -r**2. Let j(f) = 20*c(f) + w(f). What is y(j(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 441, 864, 1259, 1608, 1893, 2096, 2199, 2184?\n\"Answer: -3*w**3 + 4*w**2 + 432*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimiiimiii. What is prob of picking 2 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r + 3*r - 2*r - 4*r - 3. Let s be y(-4). Suppose 3*h = 2*o - s, -2*o - 4*h + 27 + 9 = 0. Solve 2*d = -o + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 64347*y + 178. Let z(s) = 6*s. What is x(z(b))?\nAnswer: 386082*b + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*k = -2*c + 24, 0 = -3*k + 6. Let d = c + 38. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 719, 726, 737, 752?\n\"Answer: 2*v**2 + v + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*c - 32. Let z = -1 - -3. Suppose 3*s - z - 25 = 0. What is the remainder when c is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-30*r + 40*r + 2*r**2 - 3*r**2).\nAnswer: -r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 14.5. Let a = m + -12.3. Is a at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:11 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*3\/(1 + 1\/2). Let l be 260\/36 - x\/(-18). Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/12 - 14*t**5\/15 + 13*t**4\/12 + 10*t**3\/3 - 1039*t**2. What is h in z(h) = 0?\nAnswer: -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5725 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-42) + 462\/252. Which is the biggest value? (a) t (b) -0.2551 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4112926308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61156668?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (177\/(-57) - -3)*(69 + 1). Let d = 738\/95 + k. Factor 2\/5*u - d*u**3 + 2\/5 - 1\/10*u**4 - 3\/10*u**2.\nAnswer: -(u - 1)*(u + 1)*(u + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 28*z**2 + 30*z - 4. Let c be i(29). Let x be c\/100*8\/3. Is x equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 67*d + 773. Let i be c(-11). Suppose -4*z + 2*z = 4*y - 24, -5*y + 12 = -2*z. What is the highest common divisor of i and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/1566)\/((-6)\/(-3)). Let d = -26314602728\/22185 + 5930719\/5. Let p = l + d. Is -1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 1. Let h(o) = o**2 + 13*o + 7. Let t(i) = -h(i) + 3*n(i). Let c = 200 + -140. Suppose 0*g = -6*g - c. Calculate t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*k + 1319*k - 245477 = -39885 for k.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 4*r + 4. Let w(f) = 2 + 0*f**2 - 5*f**2 - 3*f + 3 - 8. Let d = 22 + -14. Suppose 0 = 4*k - 2*k - d. Give k*w(m) + 3*u(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 - 2*s**2 + 59*s**2)*(24 + 0*s**2 - s**2 - 13) + 2*s**4 - 3*s**4 + 0*s**4 in the form y*s**2 + v*s**4 + d + w*s + u*s**3 and give y.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 1, m: 1, j: 2, e: 3, z: 1, y: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1351393325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (2 - 2 - -2). Let r(g) = 2*g**q + 2*g - 3*g - 4*g**2 + 3*g**2 + 1. What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 3. Suppose 0 = 2*f - 2*g - 14, o*g + 25 - 10 = 2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -110.\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g - 79. Let b be x(-9). Let a(y) be the third derivative of 0*y**4 - 1\/40*y**6 + 0*y - y**3 - 4*y**b + 0 + 0*y**5. Differentiate a(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 68163588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 428003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10517 = -1205*g + 15819 + 20659 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1.502?\nAnswer: -0.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0 - 2*l)*(-5*l**3 + 3*l**3 + l**3).\nAnswer: 2*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13869 + -11715. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -394, -392, -390, -388, -386?\n\"Answer: 2*m - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:05 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m - 0*m. Suppose q - 178 = -m*f, f + 2*f - 5*q - 90 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 56. Let n = -12 + x. Suppose 0*w - n = -w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 3. Let y = r - 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -20*t - 24. What is c(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -70. Suppose 2*i - 14 = -j - j, 0 = -i - 3*j + 15. Solve 10 = 4*u - i*f + b, 25 = -5*u + 4*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -5*i**3\/6 - i**2 - 2*i. Let m be z(2). Let u = m - -17. Solve 4*n + u = 5*h + 6, -11 = -h - 2*n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72639208 divided by 36319604.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 19. Let d be ((-744)\/9 - 4)*3\/(-2). Let n = -100 + d. What is the remainder when n is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(2\/33)*(s**1)**(-14) assuming s is positive.\nAnswer: s**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9487975 to the nearest integer?\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1977.3241.\nAnswer: -395.46482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 20 = 4*n. Suppose -4*g - 18 = -5*s, -4*g + s - 6 = -2*g. What is the remainder when (-3 + 11\/(-2))*g is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oqoqqqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17\/1 + (-172 - -320) and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/40*(-5)\/2. Let m(n) = h*n**2 + 3*n**2 - n**2 - 8*n**2. Let v(s) be the second derivative of -s**3\/6 - 13*s. Calculate v(m(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 73*j**2 + 72*j + 148. Give w(74).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.07, -6.52.\nAnswer: -6.52, -4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - -492323?\nAnswer: 492386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -30*c - 916 + 767 + 50*c**2 - 17*c. Is b(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((11 - 1) + 56 + -53 + -96 + 5).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*1)\/sqrt(4)*4)\/((6*3*sqrt(80))\/sqrt(10)).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 2*z = 0. Let y(q) = -q**2 + 7*q - 2. Let k be y(3). Let a be k\/(-32)*(-6)\/30. Is z >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 16, 14, 2, 3, 92.\nAnswer: -23, 2, 3, 14, 16, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102321 (base 6) to base 3.\nAnswer: 2210102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Calculate the remainder when (-21014)\/(-190) + (2\/u)\/1 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 13349 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-14\/5) assuming p is positive.\nAnswer: p**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26022 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/2 - a**3\/3 + a**2\/2 - 9*a. What is m(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h)*(84*h - 49*h - 52*h).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32334079483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86638886.\nAnswer: 2, 71, 83, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536 + 1935 = -391*g - 1155 + 208 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*o - 32 = 0, -26 = 7*k - 11*k - 5*o. Let s(p) = p**3 + 7*p**2 + 5*p + 2. Let h be s(-6). Suppose -h*y + k*y = 24. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/4*k**3 + 0*k + 3\/4*k**2.\nAnswer: -k**2*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k*k\/(k\/(k**(1\/3)*k)*k))**(-11)\/((k**(2\/7)*k)**40*k*k**(-2\/31)*k*k*k**(-2\/13)) assuming k is positive.\nAnswer: k**(-489812\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - h - 4. Let a be b(-2). Calculate the highest common divisor of 18 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 14, 5, -3268 in descending order.\nAnswer: 14, 5, -125, -3268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 5*x - 31. Let m be n(-9). Let j(q) be the third derivative of -5\/6*q**3 - 1\/120*q**6 + 1\/24*q**4 - 3*q**2 + 0*q**m + 0 + 0*q. Determine j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-16)\/(z*z*z**(-2\/11)*z))\/((z\/((z**(1\/12)\/z)\/z))\/((z*z\/z**14*z)\/z)))**(4\/23) assuming z is positive.\nAnswer: z**(-4453\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 2. Suppose i*m = 5*m - 69. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*g - 9, g - 6 = 3*o - 6*o. Suppose 0 = -o*x - 6, 46 = s - 0*s + x. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -0.13.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002536394 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 154871910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -63, -120, -195, -294?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6 and -71\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 8*y + 10*y)*(-1 - 2*y + 1) - 2*y - y**2 + 2*y.\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*k + 14 = 0, 4*k + 7 = -3*i - 7. Sort -5, -1, i, 14 in descending order.\nAnswer: 14, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7584.549 millilitres?\nAnswer: 7.584549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 6*w + 4. Let y be c(-4). Let v = 3 + 0. Calculate the smallest common multiple of v and (-27)\/y - (-4)\/16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 15*o**2 + 14*o + 7. Let j be -13 + -3*(-1)\/(-3). Let t be g(j). Suppose -3*c + t*c + 20 = 0. Put 0, c, -4 in increasing order.\nAnswer: c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -35*l + 33*l + 161*l**2 - 34*l**2. What are the prime factors of d(-1)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*a + 4*o, -a + o + 1 = -3*a. Let h(v) = -v**2 + v - 1. Let r be h(a). Let n = -33\/10 + 14\/5. Is r greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303543001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*b = -4 - 3, -2*b = 5*k + 3. Let r be 22\/(-1 + k + 0). Let j = r - -22. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6977?\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05647 + 2551.05647. Let k = 2524.02 - x. Let m = k - -27. What is m rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (15 - 47)*8\/(-32))*26\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-201)\/15)\/((456\/(-4560))\/((-1)\/(-2)))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/((0 - -3)\/45). Let d be (1 + 0)*(-1 + 19). Is x less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 4\/11 (b) -1\/4 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -313134124 (base 5) to base 2\nAnswer: -100111101111110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from khkukukhkecikkchhcke?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1127 + 57. Let j = -10714\/9 + w. Calculate the common denominator of j and 99\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(4\/3))\/i**7)\/(i**18*i*i**(-5)) assuming i is positive.\nAnswer: i**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 110, -0.5 in decreasing order.\nAnswer: 110, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 265.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*-1*(-2*sqrt(1008))**2 + 0)*-4*-5*5.\nAnswer: -2419500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -4.\nAnswer: -18, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -153. Suppose -6*p - 112 = j. Is 2 + 80\/p + (-1726)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115401248 and 57700624?\nAnswer: 115401248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 850188196 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 65*x**2 + 140*x + 217. Is s(-61) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/21120894 and -67\/2052.\nAnswer: 126725364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*g + 49*g - 2. Let a(n) = -n**3 - 5*n**2 - 5*n - 5. What is the lowest common multiple of a(-5) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -2*x + 1\/3*x**3 + 4 - 5\/2*x**2. Calculate h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 - 2*k - 4. Let t = -9 - -5. Let q be g(t). Suppose 418 = 11*f + 110. Solve -4*d = v - 8, 2*v + 2*v - q*d + f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*b + 3 - 7, 5 = 5*g. Is -3\/284 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 106\/7, -24 in decreasing order.\nAnswer: 106\/7, -0.4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.91, 3, -4, -1, -3, 1\/5 in ascending order.\nAnswer: -4, -3, -1, -0.91, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-3)*c))**(-42)\/(c**(-2\/3)*c\/(c\/(c**(-9\/2)*c)*c)))**(3\/23) assuming c is positive.\nAnswer: c**(-725\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10327*x**2 - 5*x**3 - 6 - 3*x + 4 - 10324*x**2 + 4*x. Let w(p) = -p**3 + p**2 + p - 1. Let v = -3 - -4. Let n = v + -2. Calculate n*u(z) + 3*w(z).\nAnswer: 2*z**3 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-20) + 4998\/(-1190).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426269 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 637 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 55. Let q = f - 26. Which is the nearest to q? (a) -0.06 (b) 0 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 5, 0.2, -1714.\nAnswer: -1714, 0.2, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 3*k - 14*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6669, -26687, -60041, -106725, -166733, -240059?\n\"Answer: k**3 - 6674*k**2 - 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 48 = 0. Let b(u) be the first derivative of 2*u**3\/3 - 19*u**2\/2 + 24*u - 40. Let x be b(8). Solve 4*p - 2*a - m = x, 4*p - 21 = a - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257855 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 4. Suppose -9*n = -10*n + 4. Solve 0*i + 3 = -i, n*i = -l*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122231210030 + -32?\nAnswer: -1122231210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 193608 and 188892?\nAnswer: 1015861176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*q - 9154769*n**2 + 2215*n*q + 301*n + 2 wrt n?\nAnswer: 6*q - 18309538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -6, -2\/9, 1, 469 in increasing order.\nAnswer: -6, -3\/2, -2\/9, 1, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735853657 + 735853657 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18547.969 + 16.\nAnswer: 18563.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1436460306 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2aca (base 13) to base 12\nAnswer: 374a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)\/2 - -3. Suppose 2*u + a + 3 = 0, -14*u + 10*u + 4*a = -12. Suppose u = -y*m + 13 - 11. Put -3, m, -5 in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**3 + 5*q. Suppose -2*i + 22 - 4 = 2*l, -2*l = -5*i + 3. Let p(t) = -45*t**3 + 20*t. Let y(n) = l*p(n) - 25*o(n). Solve y(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (115 - 107)*3\/(-18). Sort 5\/4, b, 2\/19, 48, 2 in descending order.\nAnswer: 48, 2, 5\/4, 2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*u - 4, 0 = -0*o - o. Let l(i) = 2 + 2*i + 1 - 5*i**2 + 30*i**3 - 4 + 4*i**2. Is 9 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 550*t**3\/3 + 261*t**2\/2 + 4*t - 442. What is the second derivative of g(p) wrt p?\nAnswer: 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122145255 is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 118. Solve -s*k - 7 = -5*r, 5*r = 8*r + 4*k + 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 - -166. What is the remainder when 45 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen tenths of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395630, -395599, -395568?\nAnswer: -395537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877*n - 599 + 2709 - 9478 - 5771 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from dqqqqqqgqqgigddgqqgq?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.483183 from 1792.\nAnswer: 1790.516817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(90)\/(sqrt(2) - sqrt(50)) + -6*(sqrt(500) - (sqrt(500)*1 + 4 - sqrt(500))))**2.\nAnswer: -2844*sqrt(5) + 290061\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.21 and -0.07677?\nAnswer: 0.0161217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 0.120987?\nAnswer: 3.266649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -1, -3, 89897.\nAnswer: -6, -3, -1, 0, 89897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + -1)*6 - (sqrt(1377) + 1 + 4 - sqrt(1377)))*5 + -4)**2.\nAnswer: -31860*sqrt(17) + 1242781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 5*j, 4*g + 2*j = 0. Let s(b) = g - 1 - 6 + 0*b**2 - 5*b + b**2. What is s(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 22 - 6. Let s be (-2)\/(-7) + x\/28. Solve s*g + 15 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -220. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1923*u**4 + 348*u**3 + 4472299*u**2 wrt u.\nAnswer: -46152*u + 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222030 (base 4) in base 16?\nAnswer: a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 7*v**4 + 652*v**2 - 2*v + 7*v**3 - 652*v**2 - 2*v**4 in the form h*v + p*v**4 + y*v**3 + k*v**2 + i and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2648 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 862*n + 4304. Give q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40840 (base 11) in base 2?\nAnswer: 1110100010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from yzyzyzqyqydyqdqdyyqy.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17483973 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1168)\/2409 + (-4)\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-1 - (-22 + 13) - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8075 - 5189. List the prime factors of h.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3636578 and 106502?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/93 (b) 2\/7 (c) 0.5 (d) 5\/8077\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.7 - 10. Let c(z) = -z**3 - z - 1. Let b be c(-1). Let g be (-8)\/2 - (b + -1). What is the nearest to 0 in -0.1, g, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-13))\/o*o**(-2\/5)*o**(-5\/8)\/(o\/(o\/(o\/(o**(2\/17)*o))*o)) assuming o is positive.\nAnswer: o**(-8777\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v)\/(v*v\/(v\/((v\/(v*v*v\/v**1))\/v))))\/((v**(-4\/5)*v)\/v**(-7)))\/(v*v**(1\/6)*v**6*v\/v**(1\/6)*v*(v\/((v\/v**(-1\/6))\/v))\/v) assuming v is positive.\nAnswer: v**(-421\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 3*u**4\/2 - 2*u. Let c(l) be the third derivative of l**4\/24 - l**2 + 48*l. Give c(x(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*c**2*n**2 - 12*c**2*n + 32936*c**2 - 8*c*n**2 wrt n.\nAnswer: 18*c**2*n - 12*c**2 - 16*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82748381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhkhvvvkvvvhhvkh. What is prob of picking 1 v and 3 k?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-u - 2*u + 4*u) + u - 2*u - u + (-3 - 3 + 5)*(0 - u + 0) + 0*u - 2*u + 0*u - 3*u + 0*u - 5*u + (-5*u - u + 5*u)*(3 + 2 - 3).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 310\/(-15) - 1\/3. Let b = 34 + x. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7885\/4 + 1971. What is the third biggest value in 1\/4, 0, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 5*r - 2. Let b(u) = 14*u - 72 + 66 + u**2 + 9*u**2. Let a be 14\/2*(-11 - 880\/(-77)). Calculate a*b(m) - 8*x(m).\nAnswer: 6*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -2\/5 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*8\/(-20)*7. Let b be 28\/4*(-4)\/a. Solve -r + b = -0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-42)*3)\/((-6)\/(-4)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -9) + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/28))**32 assuming a is positive.\nAnswer: a**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*u - 5, 8*u + 15 = 4*o + u. Which is the biggest value? (a) o (b) -13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*o**2*x**3 + 7*o**2*x + 12*o**2 + 19*x**4 + 4*x wrt x.\nAnswer: -366*o**2*x + 228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 2. Suppose -2*x + 4*b - 8 = 0, 0*x + 16 = g*x + b. Is 3921\/21 + x\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1501 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from okoekokkwoookokkkkwo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -32. Suppose 0*d - u = 3*n - d, -n - 3*d = -12. Let p(w) = w**2 - w - 10. What is p(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r\/(r*(r*(r*(r**(-10\/9)*r*r)\/r)\/r)\/r*r))\/(r\/r**(-9\/7)*r*r\/r**(4\/5)))**26 assuming r is positive.\nAnswer: r**(13312\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {l: 3, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(-3\/13))\/k)\/k*k**13)\/(k**16\/(k*k**2)) assuming k is positive.\nAnswer: k**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2016 by 224.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:19 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 11. Let l be r(4). Put 5, -15, l, -0.3 in descending order.\nAnswer: 5, -0.3, l, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54844 - -90190. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 2. Let a(w) = -w**3 + w**2 - w + 1. What is 2*a(c) + z(c)?\nAnswer: -2*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023 + 1023 + 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-3))\/((-2)\/(-3)*1). Solve -j*c + 2*c = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29510, 54318, 79126?\n\"Answer: 24808*s + 4702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -1344436?\nAnswer: 1344468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcy. What is prob of picking 1 c and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnk. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 27*s - 164. Let n be y(11). Calculate the greatest common divisor of n and 9708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.822777 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(3\/8). Suppose -2*d - i = -45, -6*i + 25 = -i. Suppose c + 4 = -2*h - 2*q, -5*q = h + d. Solve h = -5*w - z, -z = -2*w - 3*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at least as big as -5592\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3461, -6733, -10005, -13277?\n\"Answer: -3272*d - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -8, 205, 29, 2, 3 in increasing order.\nAnswer: -8, -1, 2, 3, 28, 29, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -11*m**5\/10 - m**4\/12 + 5*m**3\/6 + 375*m. What is the third derivative of g(w) wrt w?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1073, -5.\nAnswer: -5, 16, 1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.292291 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2\/(-4)) + 3928\/16. Let f be (-10)\/6*2*s\/(-4). What is the highest common divisor of 41 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40\/1307 - -454009\/15684. Let a = d + -37. Find the common denominator of a and (391\/1428)\/((-12)\/48).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let v(f) = -f**2 + 5*f - 5. Let y(p) = 4*k(p) - v(p). Let u(w) = 6*w**2 - 11*w + 4. Let d(l) = u(l) - 5*y(l). Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 - 2*p + 0 + 2 + 2*p**2 + 4*p. Let o(j) = 6*j**3 + 3*j**2 + 3*j + 3. Give 2*o(h) - 3*z(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wihdwiiiicuchhh. Give prob of picking 1 i and 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*t - 101616 = 6094*t - 370361 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422623802.\nAnswer: 2, 19, 53, 223, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 3*r + 15*j, -25*r = -22*r - j - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.5 + 19. Let q = t - 15. Let c = -13 - q. What is the biggest value in -3\/2, -5\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3335*a + 2726*a + 2776*a = -388828 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 4 + 5, 90 = -23*k + 19*k - 2*w for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2309 + 0.0691. Which is the third biggest value? (a) 107 (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifnownv. Give prob of sequence fn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u. Let t(y) = y**2 - y + 5. Let k be t(u). What is the second derivative of -2*h - h**k + h + 3*h wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3482093, 6964182, 10446269, 13928354, 17410437?\n\"Answer: -q**2 + 3482092*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 2, b: 1, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(66)\/((sqrt(126)\/sqrt(3))\/sqrt(7)) + 1*sqrt(1331)*2))**2.\nAnswer: -276*sqrt(11) + 209485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 911*k + 0 - 911*k + 0 + 467*k**2.\nAnswer: 467*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42496423 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 2, f: 2, x: 3}. Give prob of sequence qxxf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -34*i + 1. List the prime factors of g(-6).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/180*-15)\/(8\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9766.1+13852\nAnswer: 4085.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000113382828 to 6 decimal places.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5456, -6088, -6820, -7652, -8584, -9616?\nAnswer: -10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 320790 or 320778?\nAnswer: 320790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25738, 25737, 25736, 25735?\n\"Answer: -l + 25739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4 + 14. Let i be (-219)\/108 + 3 - 4\/18. Which is the fourth smallest value? (a) i (b) 3 (c) p (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/4 + 107*h**3\/2 + 2629*h**2\/4 + 756*h - 9648 = 0. What is h?\nAnswer: -201, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3391 divide 58645795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20414120111 - -3?\nAnswer: 20414120114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/488293 or 1?\nAnswer: -21\/488293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/(5900\/(-120))*(-100)\/(-330).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 p when four letters picked without replacement from {l: 2, p: 8, j: 4}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 18. Suppose f = 4*p - 12, 4*f + 2*p - 6 = 5*f. Suppose f = 13*d - 136 - 33. What is the highest common factor of d and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 8d83a?\nAnswer: 8d83e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 164*s - 1479. Give m(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*((c\/(c*c*c*c*(c*(c**(-1\/11)\/c)\/c)\/c*c)*c)\/c)\/c))\/c)**(2\/61) assuming c is positive.\nAnswer: c**(64\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65007521*f**2 + 49899*f + 220?\nAnswer: -130015042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18.26 in -1, 0, -0.2, 0.3, 162?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.2, -5, 0, 2\/3 in decreasing order.\nAnswer: 2\/3, 4\/9, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddud. What is prob of sequence zu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 64*d + 144.\nAnswer: -4*(d - 2)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16751*s + 67281. Give a(-4).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((-20)\/36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -69, 2\/9, -4 in decreasing order.\nAnswer: 2\/9, -0.4, -1\/2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6302 and 10?\nAnswer: 31510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4788882 + -4788882.09800735. Let d = a + 0.098. What is d rounded to seven dps?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40013345 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 11\/2, -0.4, 279.5, 0.3.\nAnswer: -0.4, 0.1, 0.3, 11\/2, 279.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 17}. What is prob of picking 4 t?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -294776 and 0.8.\nAnswer: -235820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 4:01 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 502669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -535 - ((-144)\/(-12) - 8). Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.135 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**3 - 18*c**2 - 126*c + 53. What is s(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-24)*5463\/(-21245)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 12*q**2 + 13*q. Let c be u(-13). Suppose c = -0*d + 4*d - 652. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*3\/(-15)*(-44)\/(-198).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-12) - 26*(-7)\/3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 238*s - 7272. Calculate c(-54).\nAnswer: 2664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i = 62 - 174 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 943907 divided by 19\nAnswer: 943907\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 17. Let r = 8 + z. Suppose 0 = b + r - 13. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4431 - 5164.3. Round s to the nearest ten.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 2, z: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 741 and 585?\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s - 3. Give f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/142759 - -19558225\/34547678. Let o = t + -8\/121. Factor 1\/4*f + 1\/4*f**3 - o*f**2 + 0.\nAnswer: f*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 48657 by 993.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 3*g**3 - 5*g**3 - 22*g**3 + 34*g**3 + 5*g**2.\nAnswer: -2*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s**2 + 2*s + 2. Let z(x) = -13*x**2 + 2*x + 1. What is 4*l(a) - 5*z(a)?\nAnswer: 13*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-399 - -336)\/(1 + (0 - 0)). Which is greater: u or -72?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15981 is divided by 527\/4 - (630\/(-24) - -27).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/5 (c) -1\/10 (d) 5 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 5*v + 3*v**3 - v**3 - 15*v in the form q*v**3 + n*v**2 + d*v + c and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10127 and 2223?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 3, j: 5}. What is prob of picking 1 b and 2 j?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 + (-75)\/(-15) - -18. Suppose -14*l - 96 = -b*l. Calculate the greatest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 7. What is the units digit of p(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4998268452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, x: 6, h: 3, i: 3, g: 3}. Give prob of picking 1 x, 1 i, 1 g, and 1 h.\nAnswer: 81\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - 4*y**2 + 662. Is 3 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1959 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**34*m\/(m**17*m)*m**(2\/95)\/m**(-12\/11))**(-1\/7) assuming m is positive.\nAnswer: m**(-18927\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*d**2 - 188*d**3 + 319*d**2.\nAnswer: -188*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -478.\nAnswer: -9\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u**3 + 3 - 26*u**4 - 2*u**2 - 2*u + 15*u**4 + 10*u**4 in the form p*u + a + t*u**4 + v*u**3 + y*u**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a decade?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2016? (a) -2 (b) 1\/5 (c) 0.1 (d) 253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -137. Sort 21, 4, 0, n.\nAnswer: 0, n, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-572184)\/(-198) + 6\/33. What is the highest common factor of 544 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/5 (b) -10\/13 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996 and 57436?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let p be 2 + -5 - (-4 + -2). Suppose v = p + 1. Solve v*l = -0*l - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1872) - 2*-1*sqrt(1872)).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3, i - 2*g + 2 = -1. Let z(s) = -2*s - 8. Let c be z(i). Find the second derivative of -22*j**c + 16*j**3 - 24*j + 22*j**2 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6. Let y = x - 0.9. Which is the closest to -1? (a) y (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:44 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-28)\/(-21))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 92. Suppose m*q - 3 = 4*d, 8*d - 6*d = -2*q + 12. Solve -2*a + d = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jki when three letters picked without replacement from nnnjjknjkjiinjwnwnik?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675 divided by 1?\nAnswer: -1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.549 rounded to 2 decimal places?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111011001 - -101?\nAnswer: -11100111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355.18 - 355. What is the nearest to 3 in y, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 0*q)*(-4*q - 7*q + 2*q) + (-2 + 2 + 5*q)*(3*q + 3*q - 7*q) + (-5 + 1 + 2)*(q**2 - 1 + 1) + 2*q + 2*q**2 - 2*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*l + 13, -3*m = -l + 5*l - 31. Let s = -943 + 946. Suppose -q - 5*b - m = 0, 0*b = -s*b - 3. Solve -4*o - 5*a = 0, -a + 4 = -q*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.661 - -0.439. Let m = h + -24. Let o = 10929\/7 - 1566. Is m less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -5 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 1560274*m\/5 - 608613738769\/5.\nAnswer: -(m + 780137)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 - 96\/(-30). Let k be 17\/7 + c\/(-7). Suppose f - k = 5. Solve 3*u - f*u - 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 10\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n**2. Let r(l) be the third derivative of -l**5\/5 + 16*l**2. Give t(r(y)).\nAnswer: -2160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3269406324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*d - 77 = 0. Let h(f) = -4*f - 7 + 3*f + 0*f. Let l be h(d). Solve -l*a + 5 - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 962 and 142142?\nAnswer: 5259254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*1398\/9. Suppose r - s = -3*a, a + 4*r = -2*a + 221. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 + m**3 + 37*m**2\/3 - 65*m + 84.\nAnswer: -(m - 4)*(m - 3)**2*(m + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -414*q**5 + 7663*q**4 - 48512*q**3 + 120735*q**2 - 102592*q + 980 = 0?\nAnswer: 2\/207, 2, 5\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2182586 and 723106.\nAnswer: 6634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -1\/28*k**4 + 9\/14*k**3 + 2 - k - 3*k**2. Factor s(z).\nAnswer: -3*(z - 7)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.8 and 0.4.\nAnswer: -16.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-1))\/(205260\/(-424204)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 119282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n - 72 = 358. Suppose 4*x + 3*l - 589 = 0, -4*l = -x - l + 166. Find the third derivative of 16*z**5 - n*z**2 - 151*z + x*z wrt z.\nAnswer: 960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16116285\/1639 - -9833. Let f = 6454\/83589 + g. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = -10. Suppose -r*j = -9*j - 2. Suppose 4*s - s + s**3 - 3*s**3 + 6*s**j + 5*s = 0. Calculate s.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46990 in 13, 4, -5\/3, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8139567ml?\nAnswer: 0.0008139567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 10643?\nAnswer: -10626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*j - t + 50, 20 = -2*j + 5*t. Let q be (32\/(-40))\/(2\/j). What is the common denominator of 2436\/72 + q\/6 and -97\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Suppose 0*u = 3*f + i*u - 3, -4*f = -2*u + 10. Does 9 divide ((-22)\/(-2))\/(f\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34993*l**3 - 10*l**2 - 51*l + 2 wrt l?\nAnswer: -209958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -3*f + 577. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542 + -540. Find z such that 4*z**2 + 42*z - z**2 + 26 - 2*z**2 + 2*z**y + 94 = 0.\nAnswer: -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 + l**4\/12 - l**3\/6 - 2*l. Determine j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 3. Let v(x) = 17*x - 13. Let i(f) = 9*u(f) + 2*v(f). Let d be i(-6). What is the first derivative of -13*s**2 - 3*s**3 - 3 + d*s**2 wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1))\/j)**(2\/3))**(-27) assuming j is positive.\nAnswer: j**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 5. Let d be t(3). Let n be (3 - d) + 153 + 5. Let s be n\/39 - 2\/13. Put 5, s, 1 in increasing order.\nAnswer: 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -947*f - 251*f + 100*f + 5733 = 813*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 8\/3*45\/30.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22789 + -22765. Suppose -5*c = 792 - 1982. What is the remainder when c is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3843263, 15373061, 34589389, 61492247, 96081635?\nAnswer: 138357553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 12*r**2 + 2*r + 6. Let x(c) = c**3 - 30*c**2 + 231*c + 8. What is the remainder when x(14) is divided by w(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -29*k**2 - k. Suppose 17*u - 21 = 64. Let y(m) = 28*m**2 + 2*m. Let g(s) = u*y(s) + 6*o(s). Find the second derivative of g(r) wrt r.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0701 plus -233.9?\nAnswer: -233.8299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -123 (c) 0.3 (d) 17 (e) -1\/4 (f) 1.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, -5, 0, -3 in increasing order.\nAnswer: -5, -3, -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*j = -149*j + 714. Solve -6*p = -j + 81 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**21\/(d\/d**16*d)*(d*d*d**(-1\/2)\/d*d)**(-3\/7) assuming d is positive.\nAnswer: d**(481\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 2243576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrzz when four letters picked without replacement from {z: 5, r: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 33*s + 156. Give u(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 281. Suppose -y + x*h = -30, 3*h - 4*h = 2. Calculate the greatest common factor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 85.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*w = 12, -4*j = -5*w + 19 + 1. Suppose -3*r = -3*z - 6 + 15, -z - r - 1 = j. Let p(n) = 4*n. List the prime factors of p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/12)\/((-6)\/(-4)) + (135 - (153 + -11)).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9176912 divided by 4.\nAnswer: -2294228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2197 - 1400. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40440672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 110. Suppose 0 = 3*z - 105*m - 765, 255 = 8*z - 5*z - 3*m. Calculate the remainder when z is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/110*-6*5. Solve -5*o - z + 0*z = 14, -z - 8 = b*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*o + 4 - 14, -5*o + 10 = 5*m. Suppose -o*u - 2*s - 53 = -5*u, 4*u + 4*s = 64. Suppose u + 0 = i. Calculate the remainder when 48 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 69. Calculate the highest common factor of 1452 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1745 - 1732) + 1757\/(-135)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/18 - ((-3117)\/(-9) + 2). What is the tens digit of (7\/(-14))\/(1\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53891 + 4*k**4 + 67*k**2 + k - 53890 + 0*k**4 to the form g*k**3 + d*k**2 + f*k**4 + y + q*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 1 + (8 - 13). Suppose 0 = u - s*z + 6*z - 251, 0 = -5*u + 2*z + 1145. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -2850?\nAnswer: -712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5503 = 2*y + 3*g, -2758 = -y + 5*g. Suppose 778 = 5*b - 3*u - y, 0 = -4*b + 3*u + 2826. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdlld. Give prob of picking 1 d, 1 q, and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 3*n**4 + 4*n**4)*(-29 - 2374*n + 1185*n + 1185*n).\nAnswer: -16*n**5 - 116*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let q(p) = 21*p - 127. Let v(g) = 4*g - 1. Let s(y) = -2*q(y) + 10*v(y). What is a(s(i))?\nAnswer: -4*i**2 + 976*i - 59536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097 bigger than 2095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*r**3 - 157*r**3 - 6948*r**3 + 6*r - 432*r**3.\nAnswer: -8400*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486025 is divided by 16184.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1702 + 1?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 6*i - 6*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 758*f**6 + 2*f**3\/3 + 240*f - 4703. Find the third derivative of t(l) wrt l.\nAnswer: 272880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 94. Let b = 51 - z. Is 16765\/14 - (-1)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n + 4*u, 4*u = -3*n + 12 + 10. What is the remainder when 601 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -27*c + 78 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-8) + (-37)\/4736*16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 1. Let v be (0 - 8) + (-6)\/3. Let m be ((-6)\/(-30))\/(2\/v). Let n(l) = -2*l**3 + 5*l**2 - 2*l - 4. Give m*n(i) + 4*h(i).\nAnswer: 2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jddd when four letters picked without replacement from jdjdjdd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 10388?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 68. Let v be ((-1)\/(-3))\/(a\/21). What is the smallest value in v, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8360226*z**2 + 8360231*z**2 + 1.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 14*s**2 - 40*s + 1. What is the remainder when 620 is divided by n(-11)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r + 4 = 42*r. Let o(z) = -7*z**3 - 3*z**2 + z + 2. Let c be o(r). Let q = 0.3 - 0.1. What is the third biggest value in -2\/23, c, q?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**4 - 3100382*c*l + 58463225*l wrt c.\nAnswer: -4*c**3 - 3100382*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6123, -24558, -55285, -98304?\n\"Answer: -6146*i**2 + 3*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - a - 7, -3 = -4*p - 5*a. Suppose -p*c + 6 = -0*c. Let b = -15238 + 15239. What is the highest common factor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-39) - ((-72)\/288)\/((-212)\/(-16) - 13)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 4*d**3 + 3*d**3 + d**3 - d**2 + d**2 - 2 + 2 + d**3 + (0*d**2 + d**2 - 3*d**2)*(3*d + 3*d - 4*d) + 503*d**3 - 795*d**3 + 728*d**3.\nAnswer: 437*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -46. Calculate the highest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-4 - -23) - (-11 + -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52282 is divided by 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -26\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10)*1) - sqrt(99)\/(2*sqrt(9))) + sqrt(11)*-2 + 4 + (sqrt(88)*-1)\/sqrt(8) + 3)**2.\nAnswer: -35*sqrt(11) + 471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(((-2730)\/20)\/(-13)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592653253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvfuvcvvfvfvuvvvu. Give prob of sequence fuu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*m**2 + 51*m**6 + 11*m**6 + 5 - m**4 - 7 wrt m?\nAnswer: 7440*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 - (-660)\/18. Let k be y\/(-2)*(-34)\/(-51). Let g = k - -11. Which is smaller: -1\/21 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 3*w + 0*w + (-1 + 0 - 3)*(w + 0*w + 2*w) in the form o + y*w and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3049770 divided by -6.\nAnswer: -508295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5863 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {z: 1, a: 1, d: 1, s: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008202873 to six dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-12)\/(-18))\/1)\/(2\/12) - 2. Suppose 0 = -0*s + s. Solve -3*c + 0*n + 1 = -n, s = r*n + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p**4 + 35*p**3 + 19*p**2. Suppose 16*g - 9*g = 231. Let c(w) = 3*w**4 - 7*w**3 - 4*w**2. Let s(x) = g*c(x) + 6*q(x). Factor s(n).\nAnswer: 3*n**2*(n - 3)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 6, 0*d - 5*b = d - 15. Suppose 2*k + d*k = 0. What is the hundreds digit of (0\/(-1) - -120) + k\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 8*r - 8. Let b(p) = -3*p**2 + 7*p - 7. Let m be (1 + 0)\/(1\/5). Let y = 1 + m. Suppose x = -5 - 0. What is x*f(k) + y*b(k)?\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u. Let k(y) = 7*y**2 + 210*y. Calculate -5*k(b) + 210*q(b).\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*s - 46. Solve 2*k = 3*o + 2, -5*k + 2*o + 18 = s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/611 and -55\/10526893.\nAnswer: 494763971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from dqcjdqjqwqqqqdwwwwj.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7\/4)\/l**(-3\/5) assuming l is positive.\nAnswer: l**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 - 997*o + 18468?\nAnswer: 4*o**3 - 997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18987 + 0.13176. What is j rounded to three dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*c - 21, 9*c + 2*j + 14 = 13*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s + 1. Let n be v(-4). Suppose 117 = 3*a + 2*p, 9*a - 5*p = 13*a - 149. Calculate the remainder when a is divided by (-9)\/6*22\/n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*a - 719 = -8*a, -4*a + 1207 = -5*d. Is d\/(-7) - (-26)\/91 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**7*i*i**27*i)\/((i\/i**(1\/5))\/(i*i*i*i*i**10*i)))**(-1\/12) assuming i is positive.\nAnswer: i**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 1\/14 (c) 2\/11 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-126))\/((-5)\/(-7)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 17}. What is prob of picking 1 n and 1 v?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -561*j - 15567. What is m(-28)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Suppose 2 = 2*i - i. Suppose 0 = 2*k - 10 - i. Let y(n) = -19*n + 13. Let f(g) = -6*g + 4. Let l(q) = 7*f(q) - 2*y(q). What is k*d(x) + l(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14710)\/5884*(-12)\/(-25).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpimliiim. Give prob of sequence iml.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -11*q**2 + 163*q + 30 = 0.\nAnswer: -2\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 2, w: 1, b: 1, i: 5}. Give prob of picking 2 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -53\/4. Let i = -161 - -158. Which is the second biggest value? (a) l (b) 2\/39 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -747, -742, -725, -690, -631, -542, -417?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 3*j**2 + 2*j + 4. Let l(m) be the first derivative of m**2\/2 - 2*m - 1. Let q be l(-2). List the prime factors of o(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 9*j**2 - 8*j + 8. Suppose -2*d = 2*u + 2, 4*d = 2*u - 13 - 15. Suppose 24 = 7*m - u*m. Give p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 5. What is p(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, i: 9}. Give prob of picking 3 i and 1 u.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11459, -11413, -11357, -11291, -11215?\n\"Answer: 5*z**2 + 31*z - 11495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3981 in decreasing order.\nAnswer: 3981, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**19*x*x\/x**3)\/(x**(-43))**(-11))**(-1) assuming x is positive.\nAnswer: x**455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 25. Let s be o(-11). Suppose -s*m + 1 = -11. Find x such that 48*x**3 - 84*x**2 + 12*x + 75*x**3 + 41*x**4 + 43*x**m = 0.\nAnswer: -2, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33417946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**9*j*j)\/((j*j**9)\/j) assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 97 = 5*d + 74, -2*a + 4 = 4*d. Let n(p) = 2*p**2 + p - 5. Let h(b) = b**2 - 1. Give d*h(o) - n(o).\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 - 3*n**3\/4 - n**2\/4 + 3*n\/4.\nAnswer: n*(n - 3)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 9. Let h be k(-6). Suppose h = 22*n - 21*n. Solve -n*l - s = -2, l + 2*l = s + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.0462 years in centuries?\nAnswer: 0.370462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpxd when four letters picked without replacement from pddfnfxzz?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 182) + -1951 + 2011?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101011 (base 2) to base 16.\nAnswer: -1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q**2 - 12*q - 6. Let r(x) = -7*x**2 + 4*x + 2. Let y(a) = 6*i(a) + 17*r(a). Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2 + z - 5 + 2*z - z. What is f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 m, and 1 t when four letters picked without replacement from {d: 3, m: 2, t: 2, v: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7161 - 7050 = -5*b + 4*g, 10*b + g + 156 = -30 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -184, -269, -352, -433, -512, -589?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*o = 794*o - 17334 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 11*l - 13. Let o = -30 - -21. What is the least common multiple of a(o) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - j + j**2 + 1 + 3*j**2. Let m(i) = -2*i**3 - 4*i**2 - 2*i + 4. Let o(w) = 4*k(w) - m(w). Factor o(c).\nAnswer: 2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -25. What is the highest common factor of 288 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1068, -213, -47 in decreasing order.\nAnswer: -47, -213, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6072, -6065, -6054, -6039, -6020?\n\"Answer: 2*x**2 + x - 6075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.47 + -0.83. Round j to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9824*c**4*u**3 + 2*c**4*u + 2*c**4 + 20*c**2*u**3 + 2861*u**3 wrt c.\nAnswer: -235776*c*u**3 + 48*c*u + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*n**2*u + 721707*n**2 - 118936371*u - 1 wrt n?\nAnswer: -50*n*u + 1443414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 14*a**2 - 24*a + 18. Let w be y(-12). Let i = 35 - -10. Calculate the highest common divisor of w and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211068065*v**2 + 198441444?\nAnswer: -422136130*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:15 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2913115 by 582623.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and -53\/39468.\nAnswer: 39468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 9\/(-1) - 116\/(-29). Suppose 0 = -3*g - 4*s - j, -2*g + 8*s + 12 = 4*s. Solve -3*v + g = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose -5*t = -k*t. Solve -j = -t*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 21 (c) 12 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -54067 * -0.3\nAnswer: 16220.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 + 8*v + 8. Suppose 4*u + 1 = 5*h + 41, 4*h + u = -32. Let m be a(h). Suppose -4*i - m = 4. Put -2, 0, i in descending order.\nAnswer: 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/(7\/(-14)). Suppose 127 = 8*c - 177. Let i = c + z. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 2. Let f be k(6). Suppose 102 = 3*u + 5*t - 2, -2*u = -3*t - 44. Let q = u - f. What is the lowest common multiple of 14 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 9*g**5\/7 + 227*g**4\/7 + 1562*g**3\/7 + 3936*g**2\/7 + 3104*g\/7 + 512\/7 = 0.\nAnswer: -16, -4, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209284 is divided by 120880?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqpqppqpqpnqqqqpqp. Give prob of sequence np.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9240 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -9, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2. Let k = -15 + 21. Let x(h) = -482*h + 38 + 192*h + 241*h. Let r(n) = k*w(n) - x(n). Differentiate r(b) wrt b.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -16, -3\/5.\nAnswer: -16, -2, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, t: 1, q: 1, c: 1, i: 1}. Give prob of sequence cut.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -0.32. Let w = r + -0.5. Let g = -186.9 + 187. Which is the smallest value? (a) w (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.112 + 2.522. What is v rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 3*x + 6. Let p be r(3). What is the common denominator of (25\/90)\/(1\/p) and -49\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180) + (sqrt(180) - 2*sqrt(180)) + sqrt(180) - sqrt(180))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/16)\/(r*r*r**(-7))*r**11*r**(2\/7)*r assuming r is positive.\nAnswer: r**(1929\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 316899529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/(-1 + 3) - -4. Let w = n + 46. Let o(s) = 4*s**3 - 4*s**2 - 2*s + 5. Let i be o(4). Calculate the greatest common factor of i and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 32. Let v = q - 30.8. Let w = 0 - 3. Which is the second smallest value? (a) v (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320 - 3?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 + (61 - 3) + -6. Suppose 5*n + s = -n. Find the common denominator of -50\/7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 104329950?\nAnswer: 417319800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -875*s - 545. Calculate y(-1).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -856 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/7 + 2\/7. Let f be 1\/u - 10\/12. Suppose 0*j - 2 = 2*j. Is f < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 1. Suppose 0 = -4*d - 5*q - 7, -4*d + 7*d - 21 = 5*q. Suppose 0 = -d*y + 8*y + 42. Give t(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**6 - 23*j**5 + 8*j**5 - j**2 + 43 + 5*j**5 + 34 + 5*j**6 wrt j.\nAnswer: 120*j**3 - 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) 0 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33345 + 0.24.\nAnswer: 33345.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 6*y**2 - 5*y + 2. Let i be o(-5). Suppose 208 = -i*d + 4*d. Suppose -a + d = a. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-8 - (3 + -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990152399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-383*x**2 - 397*x**2 + 810*x**2 - 2)*(-4*x - x - 2 + 3*x).\nAnswer: -60*x**3 - 60*x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:37 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 3*h + 3. Let r = 168 + -165. Let l be p(r). What is the greatest common factor of l and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -573, -1269, -2239?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 14. Let m be i(10). Suppose 3*c - 13 - 3 = 2*z, 3*c = m*z + 20. What is the second derivative of 0*p**3 - p**c + 4*p - p**3 + p**3 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15173 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-180))\/(-8) - 6\/(-54).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48732 + 51843 = 61*j for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 969. Round c to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 1652?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d - 4*d**2 + 39 - 71*d.\nAnswer: -4*d**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (394\/(-66) + 6)*-2.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 144489 divided by 29\nAnswer: 144489\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 5 - 5*t - 5*t**2 + 1\/3*t**3. What is the remainder when 15 is divided by n(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334954337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1810032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -5, 55 in descending order.\nAnswer: 55, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9312 = -3*m + 26108, 0 = -4*m - 3*k + 22443. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497*t**5 + 6*t**2 - 111 wrt t?\nAnswer: 29820*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 940259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/6 + 27741*u - 2308689243\/2 = 0. What is u?\nAnswer: 83223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311*x + 448*x - 226*x)*((0 - 1 - 1)*(0 - 1 - 1) + 4 - 4 - 2).\nAnswer: -178*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**19*q**(-23)*(q\/q**(-2)*q)**(-2\/139) assuming q is positive.\nAnswer: q**(-425\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 10*g**4 + 19*g - 20*g - 5 to the form r + w*g + a*g**2 + z*g**3 + t*g**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-180))\/(35\/(-300)*9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:34 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -276, -646, -1164?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -111. Sort -2.6, p, -3, 4 in increasing order.\nAnswer: -3, -2.6, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14393007 and -1.697?\nAnswer: 14393005.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 15493297?\nAnswer: -15493299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*h - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 - 9 - 11 + 2038*f**3 + 12 + 5.\nAnswer: 2038*f**3 + 13*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25643 and 115?\nAnswer: -2948945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3011 or 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 - (6 - 2 - -66) - (-1 - -12)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ypaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 5. Let j(o) = -4*o + 16. Let l(d) = -2*j(d) + 7*r(d). Let f(s) = -4 - 3 - s + 1 + 4. Give -7*f(n) - 5*l(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 246 = -213. Suppose 0 = y + l*y - 84. What is the remainder when (1\/(-10))\/((-10)\/(-475))*-4 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -19, -34, -53, -76, -103?\n\"Answer: -2*u**2 - 5*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*d + 337, 2*t - d - 481 = -2*t. What are the prime factors of t?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412082430.\nAnswer: 2, 5, 241208243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -2*s + 5*s - 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(32\/6 + -3)*(-39)\/(-273). What is the closest to 1 in -1387, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15353*n + 1399 - 1850*n - 2799 + 1398 + 5825*n in the form u*n + t and give u.\nAnswer: 19328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czgezxg. What is prob of picking 1 x and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 68 (b) 0.2 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -73*c**2 - 4*c. Let s(w) = 1386*w**2 + 77*w. Calculate -77*n(h) - 4*s(h).\nAnswer: 77*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94056*c**2 - 21199*c?\nAnswer: -188112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 + 0)\/(-1 + -1))\/2. Let s = -0.2 - 0.8. Which is the closest to g? (a) 5 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193 (base 12) to base 2.\nAnswer: -11111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -68*t - 8. Let q(o) = 3*o. Determine q(s(a)).\nAnswer: -204*a - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14011192*x**3 + 16820176*x.\nAnswer: -84067152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41180 + -22804. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -43 + 77 + 43.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 39*d = -3*g + 116, 79 = 2*g - d. Calculate the highest common divisor of 1190 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*i + 26, -5*i + 15 = -2*i. Find the second derivative of -12 + 12 - 3*a**o + 2*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1377)*-3)**2.\nAnswer: 108*sqrt(17) + 12397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/((-15)\/(6 + 39))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30291, -1\/2, 0.4, 3, 56.\nAnswer: -30291, -1\/2, 0.4, 3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (281 - 167 - 182)*((-2 + 2*i**3 + 2)*(-2*i + 0*i + i) + 0*i + 0*i + i**4) to k*i**3 + b*i + t*i**4 + d*i**2 + c and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - 2*q + 4. Let g be n(2). Solve 0 = g*x - 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 17*y - 1. Let k be z(17). Let r be (-2)\/((-4)\/38) + k. Let b = 21 - r. Solve 4*t + b*w - 4 = 7*w, -4*t = 3*w - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.49, 5, -3 in increasing order.\nAnswer: -3, -0.49, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336 or 337?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5573\/3*x + 1238\/3 + 3*x**2.\nAnswer: (x - 619)*(9*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -158*r**3 + 5*r**2. Let l(k) = 4977*k**3 - 158*k**2. Give 5*l(o) + 158*n(o).\nAnswer: -79*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095740624 to seven decimal places.\nAnswer: 0.0009574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149397803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120 and 610085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*35*1\/119?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 619, -4, 3 in descending order.\nAnswer: 619, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 43. Let o = s - -22. What is the nearest to 1\/3 in o, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 588642346, 588642344, 588642342, 588642340, 588642338, 588642336?\n\"Answer: -2*i + 588642348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5152 by 7.\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -19*c**2 - 74*c + 18*c + 3*c**2 + 37*c**2 - 23*c**2 + 1. What is l(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - f - 1305 = -11*k, -340 = -k + 3*f. Suppose 0*y = -3*n - 5*y + 32, -n + 5*y + 4 = 0. Suppose -n*g = k - 2071. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 722470 to the nearest one thousand.\nAnswer: 722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -572, -1166, -1818, -2558, -3416, -4422?\nAnswer: -5606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105304 (base 6) in base 12?\nAnswer: -5234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26617032257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Let q be d*(2*-1 - 2). Calculate the remainder when 7 is divided by -5*(-5)\/(50\/q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Let a be 936\/153 - h\/17. Solve a*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633 smaller than 3634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 - 1 = 0. Let g = -4 + 6. What is the greatest common factor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 2. Let a(u) = -u**2 + 4*u + 46. Calculate -a(q) + 4*o(q).\nAnswer: q**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1718\/13 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onoa when four letters picked without replacement from votvoonotoananss.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 402 = 3*p, -2*p - 83 = -10*r + 9*r. Suppose -6*w = -2*w - 224. Let d = r - w. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 14\/5, -3 in descending order.\nAnswer: 14\/5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2, -31, -4.\nAnswer: -31, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 233, 525, 935, 1463?\n\"Answer: 59*r**2 - 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oososoososoco. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 331383 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399*(-9269)\/(-38285)*(-20)\/(-14).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/3, 0.3, 21, 0.3126 in decreasing order.\nAnswer: 21, 0.3126, 0.3, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-416)\/(-2288) + 126\/33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m*m\/m**(-1)*m)**(-39) assuming m is positive.\nAnswer: m**(-429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -12 - 96. Suppose s*z - 67011 = 1767. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193395048 by -308.\nAnswer: 627906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1302\/19 - -11756\/171. Which is greater: f or 14.15?\nAnswer: 14.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v + 23*v - 83*v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**8\/14 - 7*p**5\/15 + 38*p**2. Find the third derivative of w(k) wrt k.\nAnswer: 1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/(33\/12 + -2). Let q = 25 - u. Let a = 161 - q. Calculate the greatest common divisor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 - 47*v - 13 + 2 - 3 - 1.\nAnswer: -12*v**3 - 47*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, 4, 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 561139 and 1683417?\nAnswer: 1683417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 17, u: 2}. What is prob of sequence duu?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 + 9*l - 14. Calculate the remainder when q(6) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshhhhbssy. Give prob of sequence hbhh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 4. Let a be o - (-3 - -2)*10. Suppose -y + 2*x - 3*x + a = 0, -4*y + 8 = -4*x. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -40 - (-20 + 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = 193*z + 1575 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.99999952 - 19. Round c to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5\/7 - 13*n**4\/7 - 16*n**3\/7 + 8*n**2 - 16*n\/7 - 16\/7 = 0. What is n?\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55590 divided by -6\nAnswer: 9265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041305559?\nAnswer: 17, 178900327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3849, 3835, 3809, 3765, 3697, 3599?\nAnswer: 3465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i = 85. What is the highest common divisor of 153 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 182. Let u = f + 138.4. Which is the smallest value? (a) u (b) -2\/9 (c) 2\/23 (d) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 2557\/12?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 4341508.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 - -186. Round r to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21916240 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)*-1)\/sqrt(3) + 2 + -5 + (sqrt(12) + 2 + sqrt(12))*5)**2.\nAnswer: 210*sqrt(3) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7904.35 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-3 + (-84)\/(-5))\/(312\/520).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 84*o**2 - 3*o + 388*o**2)*(4 - 1 - 5) to n + m*o**2 + r*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*i**3 - 1152*i**2*w - 202*i - 170*w wrt i?\nAnswer: -444*i - 2304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5536 and 2249?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 4*d - 21 - 15 + 30.\nAnswer: 4*d + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(59*n**2 - 31*n**2 - 76*n**3 - 29*n**2) to the form h*n + f*n**3 + p*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 14, -0.633, -2, 3.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kilma. What is prob of sequence mali?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vos when three letters picked without replacement from {d: 2, s: 2, o: 3, v: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4, -2*f = 5*r - 2*r - 29. Suppose b = -3 + r. Find the second derivative of -5*t + 5*t + b*t + 6*t - 8*t**4 wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25478 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((16\/(-36))\/(43\/((-1419)\/(-22)))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18775 (base 12) to base 8.\nAnswer: 105511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*f - 61 = -3*f, v = 3*f + 12. Suppose v*i - 101 - 4 = 0. Calculate the highest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = -38*m - 44*m + 125*m + 57 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.544 and 0.5086.\nAnswer: 2.0526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1641? (a) 0.3 (b) -1 (c) -1\/3 (d) 0.06 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33337 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*u + 108, -2*u + 0*g = g - 64. Suppose 0 = 5*i + 2*a - 26, 5*a + 12 = i + 2*a. Calculate the highest common divisor of i and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*i**2 - 73746*i**3 - 188*i**2.\nAnswer: -73746*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.787242\nAnswer: -0.1574484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from vzvvmvwwvmvzwzm.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 95 = -3*p - 5*p - 0*d, 9 + 6 = 5*d for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 6 + 6)*(90*r**3 - 9*r - 17*r - 83*r**3).\nAnswer: 21*r**4 - 78*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (517 - -1) + (-10)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 - 36 = 0. Suppose k - 1 = f, -3*f - k = 2*f - t. Let c = 0.5 - 1. Put c, f, 3 in ascending order.\nAnswer: c, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1451012 + 32?\nAnswer: 1451044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190 or -2074\/11?\nAnswer: -2074\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2 + 4*u**2 - 4*u**2 - 26*u - 2 + 9*u - 2*u**2. Let c be w(-8). Suppose -2*m + 0*m + 6 = 0. Solve -m*f + o = -o + 9, 5*o - 12 = c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24655404 (base 7) to base 3\nAnswer: 11012102100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9\/4, -3, 164?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y. Let g(z) be the third derivative of -z**5\/30 - 858*z**2. What is s(g(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9093 (base 11) to base 13.\nAnswer: -5664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306282507 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -176853190*l*q + 1141659128*l wrt q?\nAnswer: -176853190*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -182*p + 181*p. Let l be -3 + (p\/(-10))\/((-26)\/650). Let q be (-2)\/(-4 + 0) - -1. Is l < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379869.9km to centimeters.\nAnswer: 37986990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36682 + 36685.2635. What is u rounded to 2 dps?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14496777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.411, 1\/2, -17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19646, -80664, -182362, -324740, -507798, -731536?\n\"Answer: -20340*r**2 + 2*r + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 145. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 6. Let l(s) be the first derivative of -7*s - 1\/2*s**2 - 1. Let u = -7 - -3. Calculate u*l(h) - 5*m(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/20 + p**4\/12 - p**3\/6 - p**2. Let y(k) = -k**3 - 7*k**2 + 9*k + 6. Let u be y(-8). Is x(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -841*s**2 + 39*s - 22. Let l(j) = -1681*j**2 + 79*j - 43. Let w(h) = 6*l(h) - 13*n(h). Let b be w(-28). Round b to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29972307 to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2202 - 131020?\nAnswer: -122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 180, 374, 636, 966, 1364, 1830?\nAnswer: 2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 85*z - 426. Let p be l(5). Is -87\/118 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1573)*1 + sqrt(1573)*-2 + -2 + sqrt(1573))**2.\nAnswer: 264*sqrt(13) + 56632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*s - 8 = b, 7 = 2*b - 3*s. Let p = 74\/81 - -397\/1782. Calculate the common denominator of p and -1 + (-7)\/(-2) - b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Suppose -5*j + 5*m - c = 0, m = -5*j - m - 33. Let o(d) = d**2 + 2*d - 3. List the prime factors of o(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 7*v**3\/6 - v**2 + v. Suppose 11*s = 13*s - 216. Suppose -15*i = 18 - s. Let d(q) = -15*q + 4. Give i*d(x) + 13*f(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and -0.7148.\nAnswer: 66.4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 11*m + 15 = 0. Suppose -m*r + 7 = -35. Calculate the common denominator of 11\/14 and (-199)\/r - 28\/98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15701 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -20*s + 209. Solve 5 = -3*v - h, -9*h = -5*v - s*h - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 6 = 2*n. Let z = 45 + n. What is the highest common factor of z and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19924818 a multiple of 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:10 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, 2, 246, 0, 30 in increasing order.\nAnswer: -129, 0, 2, 30, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 0.06\nAnswer: -3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 + 3*v**2 - 2*v**2)*(-226*v - 73*v + 102*v - 122*v) to the form d*v**2 + h + k*v + u*v**3 and give u.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 1. Let a(d) be the third derivative of 0 - 1\/120*d**6 - 2*d**r + 0*d + 0*d**3 - 1\/20*d**5 + 0*d**4. What is the third derivative of a(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.062 - 0.071. Round s to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 421 - -292?\nAnswer: 6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8217.64mg to grams.\nAnswer: 8.21764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50907, -50906, -50909, -50916, -50927, -50942?\nAnswer: -50961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 1}. What is prob of picking 1 t and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 288*g**2 - 151*g**2 - 132*g**2 + 7 - 203*g in the form c*g + y*g**2 + i and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698849331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s. Let k(d) = -d - 1. Let c(v) = -2*v - 1. Let t(o) = -c(o) + k(o). Calculate b(t(n)).\nAnswer: n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 + 6*b + 5. Let z be s(-8). What is the units digit of 4\/6*z\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:04 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a day?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 10*j**2 - 10*j - 5. Let b be v(-9). Let h be 1*b\/2*2. Put h, -0.4, 0.3 in ascending order.\nAnswer: -0.4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-6)*72\/(-63). Let v(u) = -5*u - 10. Let a be v(-1). Let g = -7 + 5. Put g, a, y in ascending order.\nAnswer: a, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328*u + 11*u**2 + 14*u**2 - 23*u**2 - 327*u + 2 - 294*u**3 to k*u**3 + w + p*u**2 + i*u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-10758)\/220)\/(-163))\/((-1)\/(-20))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6411\/20 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 28 = -4*k, 998*k - 25 = 993*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59310998 + 161710998. What is m rounded to the nearest one million?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:51 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -10*4\/8. Suppose -2*s + i - 6 = 0, -s - d*i - 14 = -i. Does 14 divide -3*(-12)\/(-9) + (137 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198786705 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 27*h = -25*h - 19, h - 12 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 47*i - 89. Let y be k(5). Let z = y - 143. Solve -8 = -4*u - 4*a - 28, 6 = -z*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 9*w. Let c(t) = t**2 - 4*t. Let s(g) = 9*c(g) + 4*o(g). Let z(h) = 14*h. Determine s(z(r)).\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w**2 - w - 5. Let o(v) = -22*v**2 - 2*v - 12. Let y(p) = -5*o(p) + 12*x(p). Factor y(d).\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.428268cm to meters.\nAnswer: 0.00428268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 11. Let w(b) = 6*b + 11. Let u(y) = -44*y + 51*y + 7 + 1 + 4. Let h(z) = j*u(z) - 6*w(z). Calculate h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51720 + 100243. Suppose -5*d - p - 16477 = 0. Round d to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 76 = 446. Let z = a - -481. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000010 + 111020?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 122 = -77*i + 44*i + 4*j, 125 = 5*i - 5*j for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1586\/183*(-2 + 1)*-51. What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -42 - 18. Is j at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 20.53539.\nAnswer: -3.4910163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8932939 rounded to three decimal places?\nAnswer: 0.893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 13*h**2 - 16*h + 15. What is the tens digit of k(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*o**2 + 6 + 135*o**2 + 86*o**2 + 1 + 0 to the form j + y*o**2 + c*o and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058*q**3 - 334*q**3 - 358*q**3 - 339*q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105359*i**2*l**2 + 2*i**2*l - 27*i**2*x - 106*l**2*x + x wrt x.\nAnswer: -27*i**2 - 106*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - v**2 - 1 - 2*v + 0 + 3*v. Let o(z) = -18*z - z**2 - 15*z + 1 + 52*z - 18*z. Let r(h) = -f(h) + o(h). What is the derivative of r(p) wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -441006*t**4 + 564293*t wrt t?\nAnswer: -5292072*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -626.72.\nAnswer: -626.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -99296 at most as big as 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21188728, 21188834, 21189010, 21189256?\nAnswer: 21189572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 43?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2849\/24 + -725\/6. Let w be 1527 - (80\/50 - (-4)\/10). Let m = 33483\/22 - w. What is the common denominator of m and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 15*k**3 - 12*k + 6*k + 7*k. Calculate the remainder when 27 is divided by y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2476 = 5*z, 0 = -z - b + 5*b + 482. Let r = z + -235. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 - 2)) + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 4. Let b be w(-4). Let m be 4\/8*b\/2. Suppose -p - m = -7. Solve 9*x - 20 = p*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q. Let c(u) = -u**2 + 30*u - 12. Let z(m) = c(m) + 2*k(m). Calculate the smallest common multiple of 35 and z(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2183 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, -494, -1564, -3666, -7148?\n\"Answer: -58*o**3 + 6*o**2 + 2*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0152905 and 2255038.\nAnswer: 2255037.9847095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10042 - -47\nAnswer: -9995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 9*l**2 - 41*l - 37. Calculate z(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27 = m, 5*b + 4*m - 33 = 3*m. Suppose 3*n - 5 - 22 = -3*g, 3*g = 0. What is the greatest common divisor of n and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*d - 14 = 0, d + 12 = -0*o - 4*o. Let h(y) = y**3 + 4*y**2 + 2*y - 2. Let r be h(o). Which is the closest to r? (a) 0.5 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111101000110?\nAnswer: 111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/7 (b) 2\/5 (c) -8 (d) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/64614337 and 71\/312524.\nAnswer: 258457348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 3\/(9\/(-84))*(-21)\/28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:54 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 13) to base 4\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 80 = -2*m - q, q + 104 = 3*m. Let t(c) = -c**2 - 10*c - 6. Let s be t(-8). Suppose 3*b + 4*g = -g + s, 4*b + g = m. Solve -l + b = -6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4 - 2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49645, 99062, 148491, 197938, 247409, 296910, 346447?\nAnswer: 396026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39838 + 39841. Solve -2*w = -18 + 10, h*x + 2*w = -1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:39 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 10*c**2 + 2*c**2 + 144 - 128*c + 8*c**2.\nAnswer: 4*(c - 2)**2*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*h**3 - 103*h**2*i - h*i + 7*h - 2*i - 1 wrt h?\nAnswer: -294*h - 206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 261*w - 263*w - 108 + 58.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 3*y - 4. Suppose -3*q + 5*q + s = 75, 15 = 3*s. Let k = q - 32. Let f(z) = z - 1. Calculate k*f(o) - m(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.498, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccccuuuuuccc. What is prob of sequence cu?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/12 + -4)\/(-1). Which is the smallest value? (a) -2\/9 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20753318*h**4 - 48141*h + 182 wrt h.\nAnswer: 249039816*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-12)*(17 + 3). Let g be q\/(-10)*599984\/(-6). Suppose -5*k - v + 449997 = -0*v, -5*k + g = 4*v. Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81400 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10547478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(2) - -2*sqrt(2)))\/(sqrt(35)\/sqrt(5)*6) + -1.\nAnswer: -1 + sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 7*b - 7. Suppose -6*w + 5 = -w. Let v(x) = -19*x - 1. Let y(s) = 48*s + 2. Let r(j) = -5*v(j) - 2*y(j). Determine w*n(q) + 6*r(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.128012 months in decades?\nAnswer: 0.1344001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 673538 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27327 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: b\"What is the ith term of -1253, -1136, -877, -410, 331, 1412, 2899?\n\"Answer: 11*i**3 + 5*i**2 + 25*i - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143162579.\nAnswer: 7, 673, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 99\/(-90))\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -10 + 11 + 6 - 7*z**2 + z**2 + z**3. Let q be 16\/6*18\/8. Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 852, 3388, 7624, 13572, 21244, 30652?\n\"Answer: 2*d**3 + 838*d**2 + 8*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/15)\/((-1)\/9). List the prime factors of (1 - -2)*(f + 1228\/3).\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 189355, 189308, 189261, 189214?\n\"Answer: -47*v + 189402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let p = 104\/165 - -2\/55. Are p and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42362 is divided by 1941.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 0.2\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*z + 37*z - 1088*z - 109*z.\nAnswer: -1677*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 + -0.089994. Round u to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(18\/36)*1*(-8)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 + 3*q - 8. Let f be p(6). Let v = 69 - 77. Let g = f + v. Solve 1 = g*y - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -22*n - 2 - 1 - 5*n. Let c be d(-1). Suppose -1346 = 22*g - c*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12384)\/(-5160))\/(3\/((-60)\/2)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + b - 2*b + (3*b - 2*b + b)*(1 - 2 + 3) - 212 + 212 + 59*b + (0 + 0 - 5*b)*(-3 + 0 + 1)*(5 + 1 - 5).\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y - 5*y + 4*y)*(166*y**2 - 51*y**2 + y**3 + y**3) in the form i*y + v + w*y**4 + j*y**2 + s*y**3 and give s.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -43132?\nAnswer: -43134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12742 is divided by 79.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 61 = 5*l, -2*l - o + 31 = 4*o. Differentiate -20 - 4*h - l*h**3 + 4*h + 24 wrt h.\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*b - 32, o = -2*o + 4*b + 3. Let h(l) = -l**3 + 6*l**2 + 5*l + 5. Let g be h(o). Let t = g - 18. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329606.8 - 329608. Suppose -4*w + 2*z - 16 = 0, -1 = 4*w - 3*z + 13. What is the closest to -2\/3 in w, -0.1, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750348002?\nAnswer: 2, 3, 13, 53, 423403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**23)\/h**(-43) assuming h is positive.\nAnswer: h**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/41 and -11\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 2*t + 12, -2929*u + 2933*u = -2*t + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*d + 253251 = 0, 468*i - 463*i - d = 253254. Round i to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z - 8. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-3*h**4 + 4*h**4 + h**4)*(3 - 6 + 1) + h**4 + 0*h**4 + 2*h**4).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4 - 8*t**3\/3 + 6*t**2 - 8. Find o such that v(o) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168138587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32544 - -4?\nAnswer: 32552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07149518 rounded to four dps?\nAnswer: -0.0715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273 - -382. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u - 6. Let b be h(-7). Suppose -2*z + 3 = -2*r + b, 6 = -2*r - 4*z. What is the units digit of -2 - 3\/r*-9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30720, 30886, 31052, 31218, 31384, 31550?\n\"Answer: 166*h + 30554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 11*z**2 - 2*z + 2. Suppose -8*f = -5*f + 33. What is the remainder when r(f) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 4 (c) -2\/19 (d) -2\/17 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33569*b**3 - 15257*b**2 - 4*b - 2.\nAnswer: 201414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2100 and 0.021?\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/52506 and 59\/17502.\nAnswer: 52506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12814 * 579.\nAnswer: 7419306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3152 + 5364. Does 53 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 2*h**2 - h. Let p(k) be the first derivative of -k**2\/2 - 2*k - 3. Let v be (2\/(-1))\/1*2. Let y be p(v). Give d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -3, -1\/100, -1.27, -0.07, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20156587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221000301 (base 5) to base 4.\nAnswer: 3220231301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -22 + 11 + -1 + (1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -9*c**5 + 555*c**4\/2 - 7865*c**3\/3 + 6290*c**2 - 5780*c - 1750. Find f such that k(f) = 0.\nAnswer: 1, 34\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-13)\/j)\/(j\/(j*j**(4\/15))*j))\/(j*j\/(j*(j\/(j\/(j\/j**(6\/11))))\/j)*j*j*j*j)**7 assuming j is positive.\nAnswer: j**(-8836\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 + 30*j**3 - 9*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 + 36*p**2 + p - 7. What is w(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**(-29) assuming q is positive.\nAnswer: q**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 w when four letters picked without replacement from {w: 7, d: 5}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 24*p - 17. Suppose -48 = -4*w + 4*y, 5*y + 0*y + 25 = 0. Let f be d(w). Let j(o) = 0 - f + 45*o**2 - 46*o**2 + o. Determine j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 6\/7 (c) -1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/6 + (1065\/(-16))\/5 and -77\/316.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*r**3 - 18*r**3 + 8*r**2 + 35*r**3 - 9 + (1 - 7 + 2)*(0 - 2*r**3 + 0).\nAnswer: 9*r**3 + 8*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29353 is divided by 9513.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 126, 43, -138, -417, -794?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 6 + 2 - 3 + 7*m. Let h = -61 - -68. Let w be k(h). Solve 4*s = 2*u - 4*u + 2, -w = -5*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000395775 rounded to six dps?\nAnswer: 0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5162 and 6052?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1047 + -0.0047. Which is the fourth biggest value? (a) w (b) -2 (c) -0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 101.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 5 - 5 - (2 + -6 + 21)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j + j - j)*(-1 + 2 + 2) + 42*j - 10*j + 43*j)*(5 + 10*j - 5) to the form v + r*j**2 + k*j and give r.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 787940.\nAnswer: 5515580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.43 minus 167.4?\nAnswer: -168.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12521 is divided by 392?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -3*j**5\/5 + 3*j**4\/2 + j**3 - 3*j**2 - 7. What is p in y(p) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by 4?\nAnswer: -107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 123*f + 697. Let b be k(6). Solve b*q = 52*q - 42 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274 = 24*n - 82 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-6 - -1) - 1. Suppose -2*i = -b*i + 92. Suppose -g = -26 + i. Solve -g*q + 3*z - 18 = -2*z, -17 = 2*q - 5*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 11}. Give prob of sequence at.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2\/n*n*n\/n**(-2\/9)*(n**1*n)**(-1\/38))\/(n**7\/n**(-2\/3))**(11\/2) assuming n is positive.\nAnswer: n**(-12995\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0351228 + 12168.\nAnswer: 12168.0351228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n + 160. Give t(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1\/(-2)*-4 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 1472?\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, m: 3, j: 3, g: 2, i: 3}. Give prob of sequence kkv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25081 + 25083. Solve -4*p - d + 11 = 3, p = -4*d + l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*x + 45, -16 = -29*v + 24*v + 2*x + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.6, -228, 14\/129, 3\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 - -616. Let z = 666 - u. Let w(s) = s**2 + 5*s - 2. Calculate the remainder when z is divided by w(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28271865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 19*o - 16*o - 1842, 0 = -4*o - 5*x + 2462. What is the lowest common multiple of 38 and o?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*s**2 + 372*s + s**3 - 732 + 520 - 796.\nAnswer: (s - 28)*(s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*((sqrt(272) + sqrt(272) + -3)*-5 - (3 + sqrt(51)\/sqrt(3)*6)) + 2.\nAnswer: -26 + 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3425 divided by -137.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 1:09 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 + 0 = 3*g, 2*v - 3*g = 22. Let s = -5 + 4.92. Let y = s - 3.92. Which is the nearest to -1? (a) y (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:53 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - 3.9. Let o = 8 + k. Let u = -1 - -1. Which is the second smallest value? (a) u (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -476806 or -476765?\nAnswer: -476765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 5*x + (-2 + x + 2)*(2 - 4 + 4)*(35 + 2 + 14).\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 125 - 125. Let u(a) = a + 1. Let h(p) be the first derivative of p**3\/3 + 3*p**2 + 6*p - 2. Let f(n) = h(n) - 6*u(n). Give l(f(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 1. What is the remainder when (-2*3)\/((2\/30)\/(665\/(-210))) is divided by s(-7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:41 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 3570, 7940, 14080, 22002, 31718, 43240, 56580?\nAnswer: 71750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 199 = -2*b - z, 3*b + 5*z + 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 2*u + 53370, -13347 = i - u. Let q = 186731\/14 + i. Let n = 3869\/44 + -1146\/11. What is the common denominator of q and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 4*y - 9. Let g(i) = -6*i**2 - 6*i - 14. Let b = 22 + -29. Let n(u) = -u - 15. Let z be n(b). What is z*o(j) + 5*g(j)?\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 0 + -3)\/1. Let n(v) = v**3 + v**2 - v + 2. Let q be n(h). Suppose -4*d = 2*c - 1422, -2*c = q*c - 2*d - 2794. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -101. Let q = i - -38.1. What is q rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32612.63 nanograms?\nAnswer: 0.03261263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69, -54, -35, -12, 15, 46?\n\"Answer: 2*v**2 + 9*v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:37 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 1145576*v + 82021523236.\nAnswer: 4*(v - 143197)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/((-2)\/(-48)*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3166*k**3 + 2705*k**2.\nAnswer: 18996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-20) + ((-87147)\/(-15))\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10902, -10439, -9978, -9519?\n\"Answer: -x**2 + 466*x - 11367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 5*f + 1230 - 1238, -15*k - 10 = -5*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/226913?\nAnswer: -2\/226913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 88?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -9*r + 36. Which is the closest to 2\/5? (a) 24 (b) -4\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17 + 110\/(-11) + 0. Let h(g) = g - 45. Give h(d).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1704, 1658, 1584, 1482, 1352, 1194?\nAnswer: 1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152363573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 21. Let i be o(10). Suppose -7*n = -i*n + 84. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3631979 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + k**3 + 22 + 1 + 345*k**4 - 8*k**2 - 357*k**4 + 4*k**2 to the form y + n*k + q*k**2 + w*k**4 + t*k**3 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -45?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 5244216.\nAnswer: 1\/1311054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 6*g = 57. Suppose -g*s - 396 = -61*s. Calculate the remainder when s is divided by 34\/(0 - -2)*(53 + -52).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let o be (n + 3)*(-3)\/(-6). Solve v = -2 - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*k - 229*k + 160*k as i + t*k and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29*1 + 1107022\/36950)\/((-6)\/80).\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 23. Suppose a - 92 = -0*q - 3*q, 0 = -k*a + 3*q + 202. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 5\/1718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -5, 1291?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 339, 485, 613, 717, 791, 829, 825?\n\"Answer: -q**3 + 165*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 22)*(-1)\/2. Let x(r) = 2*r - 4. Let v be 1\/1*(5 - 0). Let z be x(v). Calculate the highest common factor of z and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.8, -46?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**3 + 14*b**2 + 437*b - 6. Let i(v) = 11*v**3 - 15*v**2 - 438*v + 7. Let y(l) = 6*i(l) + 7*w(l). Find the second derivative of y(a) wrt a.\nAnswer: -24*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/120 + 13*f**5\/60 + 7*f**4\/8 - f**3\/3 - 5*f**2 - 8*f. Let r be s(-11). What is the nearest to -1 in 2\/7, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 15 - 4 - 1 + 186*l**2 to z*l + j + f*l**2 and give f.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1723727, 1723715, 1723691, 1723649, 1723583, 1723487, 1723355, 1723181?\nAnswer: 1722959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12021128969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -33*l + 24*l - 3*r + 8 + 43 + 5, -3*r + 75 = 13*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 939 + -1018. Suppose -4*b = -3*b + 30. Let i = b - t. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7617626 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:29 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/27 + 2 + (-112)\/18. Let a(m) = m + 3. What is a(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13436 + 306*q**2 - 194*q**3 + 54*q**3 + 76*q**3 + 67*q**3 + 7488*q - 2788 = 0. What is q?\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v - 8 - 23 + 7.\nAnswer: 21*v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 20*q + 7*q + 0*q + 2.\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1918 divided by -3610\nAnswer: -959\/1805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*z + 44*z - 4, 0 = 5*m - z - 3439. Suppose -971 = -4*d + 3*j, -4*d - 4*j + 304 + m = 0. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 5528134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from jjppfppfppfpjfj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 70, 147, 254, 391?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116529 + -10487717\/90. Let f = -14507\/10 - -1452. Let u = f + n. Sort u, 1, -1\/10 in ascending order.\nAnswer: -1\/10, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + 0)*-3)*-1*3)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140907722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291189.\nAnswer: 3, 29, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43695157 and 0.5.\nAnswer: -43695156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + w + 10169, 15286 = -3*i + 5*w. Let k = 11250 + i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 8. Let w be r(-5). Which is the nearest to 1? (a) 1\/11 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 211 = 2*i. Let r = 17 - -7. Suppose -r = 5*m - 104. Calculate the greatest common divisor of i and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 - 231 = 62*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-1 - (-2 - 0)). Let w(z) = 2 + 10*z**3 - 5*z**3 + 7*z**2 - 6*z**3 - 4*z - 10. What is the units digit of w(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-1\/13)\/r))\/(r\/(r*r**(-3\/11))) assuming r is positive.\nAnswer: r**(401\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -23*i**3 + 8*i**2 + 8. Let w(o) = o**3 - o**2 - 1. What is 5*d(r) + 40*w(r)?\nAnswer: -75*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -134*z**2 - 8*z + 141*z**2 + 2 - 5 + z**3. Determine x(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3))**(-1\/6)\/(z*z**7*((z*z\/(z\/(z*z\/(z*z*z**(-5)*z)))*z)\/z)\/z))**(1\/24) assuming z is positive.\nAnswer: z**(-217\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1431 or 1432?\nAnswer: 1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000170104 to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 47?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1271881 and 1135.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19892*d**2 + 8*d - 14*d + 6*d.\nAnswer: 19892*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8856 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j + 5*g + 58 = 103*j, 0 = -16*j - g - 74 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749077874 to the power of 1\/2, to the nearest integer?\nAnswer: 41822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 - 194 = 65*l. Let w be (l + (-688)\/(-68))\/1. Let 14\/17*c**2 + 24\/17 + 32\/17*c + w*c**3 = 0. Calculate c.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 184 (c) 1\/6 (d) 2 (e) 1.4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.0163 - 2.5163. Let f = 0.01 + -0.61. Which is the nearest to -3? (a) 0.3 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121881 and 121881?\nAnswer: 121881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 269 + -8007539.5\nAnswer: -8007270.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -3*b**2 - b + 3. Let y be x(-1). Suppose -y*s = -3*p + 9, 2*s - 1 + 7 = 2*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005987 rounded to 5 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m - 10. Let f be j(7). Suppose -v - 3*v + f = 0. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35489 take away 143788132?\nAnswer: -143788131.64511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-12320)*28 + (-5676032)\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let l(c) = -c**3 + 6*c**2 + 2. Let t be l(6). Let j(p) = -4*p**2 + 0*p**t + 2*p**2 - p**2. Give j(s(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50493899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let o(n) = -50403*n. Give d(o(t)).\nAnswer: 2540462409*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72142*b**2*i*s**4 - 4*b**2*s - b**2 + 1478*b*i**2*s + 4*i**2*s**2 wrt s?\nAnswer: 865704*b**2*i*s**2 + 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12966703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q - 10. Let r = -18 + 22. Suppose r*b = 4*o + 1422 - 266, q = 5*b + o - 1445. Does 46 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 3*m + 2*m = -20*q + 185, 5*m = -41 + 31 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16731*v**4 + 6887*v**4 - 7798*v**4 + (-v**2 - 2*v + 2*v)*(v**2 + 0*v**2 + v**2) - 3 - 3*v**4 + 3.\nAnswer: -17647*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-36))\/((62\/(-3))\/((-4)\/(-4)))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155791, -311582, -467373, -623164?\nAnswer: -778955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let l(u) = -12*u**2 + 20*u - 2. Suppose 2*g + 0*g - 12 = -5*n, 0 = 3*g + 2*n - 7. Let v(s) = g*l(s) + 6*z(s). Factor v(j).\nAnswer: -4*(j - 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {g: 1, m: 2, n: 7, j: 2, w: 1, s: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6758575*g**2 + 4321997.\nAnswer: -13517150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a947b - -12?\nAnswer: a9491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2269882861 - -19.3.\nAnswer: -2269882841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 398*m**4 - 3*m**3 + 257*m - 1428003?\nAnswer: 1592*m**3 - 9*m**2 + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let g(h) = -64*h**2 - 40*h - 40. Let a = 278 - 198. Let m(z) = -5*z**2 - 3*z - 3. Let b(k) = a*m(k) - 6*g(k). Give y(b(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 4*o - 12. Let n be f(-6). Suppose n = -g - g. Solve -3*c - c - 5 = h, 4*h + 20 = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4797075 is divided by 68.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 10*h - 15. Let f be v(-7). Let n(r) = 3*r**2 - 28*r + 19. Let d(o) = -o**2 + 10*o - 7. Let p(g) = 11*d(g) + 4*n(g). Give p(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 6789*s**4\/4 + s**3 + s**2 + 459*s - 7696. What is the third derivative of x(k) wrt k?\nAnswer: 40734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((195\/(-10))\/13)\/((-2)\/40*3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*368.\nAnswer: 103.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let y be n(-1). Let l(g) = -y*g**2 + 4*g**2 + 1 - 1. Let p(d) = -3*d. What is p(l(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 19*x - 22*x - 17, 0 = -2*x - 3*b - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:54 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3131)\/93 + 35)*(0 + 1053\/(-12)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -21*n. Suppose -10*w = -n*w - 300. Differentiate -13*s - 23*s - w + 21 + 5*s wrt s.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 84. Sort t, 0, 5, -6 in ascending order.\nAnswer: -6, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-1 + 76\/8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/20 and 5 + 212\/(-44) + (-302)\/264?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4534, -9067, -13600, -18133?\nAnswer: -22666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-4 + 4 + 14)*((0*c - c + 0*c)*(6*c + 7*c**2 - 6*c) - 3*c**3 + c - c - 2*c**3 + 31*c**3 - c**3).\nAnswer: -504*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uii when three letters picked without replacement from {i: 2, u: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4058*x + 85214. Determine g(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.7 and -77.\nAnswer: -78.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/24)\/(165*13\/1755). Suppose h*q + 0 + 3\/4*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190.945 - -282. Let q = -91 + g. Let n = q - 0.048. What is n rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 37 = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.14 + -0.86. Let p = -317 - -316.5. What is the second smallest value in 0.5, -0.4, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -310*n**3 - n**2 - 4*n - 3. Let v be w(-2). Let l = v - -909. Round l to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242186 - -10171223\/42. Let d = 104\/7 + i. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -13410181?\nAnswer: 13410173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1294 = 4*j - 11982, 3*d + 12 = 0. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.03499 and 0.3762.\nAnswer: -0.389363238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257348 is divided by 2186?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 6*j - 4. Let m = -7 + 3. Calculate the remainder when 77 is divided by z(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13413, -10, 2, 4.\nAnswer: -13413, -10, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1, -7\/9, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.8 - -9. Let a = -4.8 - u. Let l = -0.36 - -0.06. Sort -1\/11, l, a in ascending order.\nAnswer: a, l, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (8 + -2 + -13)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691472 is divided by 341?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1658881.998 and 0.2.\nAnswer: -1658881.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*p - 165*p. Suppose 269 = -p*s + s - c, 3*s + 5*c = 791. What are the prime factors of s?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5451460 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {o: 7, x: 1, i: 2, y: 6, t: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2187806 divided by 199?\nAnswer: -10994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*5)**2*5.\nAnswer: 34375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -43, -1\/2, 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*i + 75 - 54*i**2 - i**3 - 75 + 223*i - 17*i**2.\nAnswer: -i**3 - 71*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 1. Let n(r) = r**2 - 7*r + 7. Let g(c) = -2*n(c) + 14*o(c). Let a(t) = -5*t**2. Determine g(a(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + f - 2*f. Let t(q) be the first derivative of 8 + 0*q + 1\/3*q**3 + 0*q**2. Give t(y(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19499 + -5798. What are the prime factors of i?\nAnswer: 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 49*m - 47*m - 84, -5*m - 2*z = -194. What is the least common multiple of 133 and m?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*x*z + 2*q**2*z - 105*q*x*z + 1571*x*z with respect to q.\nAnswer: -2*q*x*z + 4*q*z - 105*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from nlrl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 137*d**7\/14 + 137*d**4 + d**2\/2 - 3*d - 45. What is the third derivative of s(i) wrt i?\nAnswer: 24660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155.12 + -155. Put 1\/3, j, 0, 2 in ascending order.\nAnswer: 0, j, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -15. Suppose 4*o - 28 = -4*m, 5*m + 19 = r*m + 5*o. Suppose x - 35 = -3*n + n, -4*n + 76 = -m*x. Calculate the remainder when 125 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 2 in descending order.\nAnswer: 8, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 5410524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3898, 4, 66\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -90907400 rounded to the nearest one hundred thousand?\nAnswer: -90900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1550 divided by -1\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 163366.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8877, -17887, -26915, -35943, -44953, -53927?\n\"Answer: 3*u**3 - 27*u**2 - 8950*u + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 - 586*m**2 + 198*m - 577. Determine a(195).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38929.21 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m - 3*m)*(44*m**2 + 68*m**2 - 2 - 91*m**2) as a*m**2 + s*m**3 + c + w*m and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:30 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(50) + sqrt(50) + sqrt(450))\/sqrt(10) - (sqrt(320) - (sqrt(320)*-1 - sqrt(320)) - sqrt(45)\/sqrt(144)).\nAnswer: -215*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 16\/(-4) - (-12)\/(-38). Suppose -q - 6 = q + 4*o, o = q. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:09 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -16*b**4 - b**3 - b - 53. Let k(u) = u**4 + u**3. Let q(p) = -c(p) - k(p). Differentiate q(m) with respect to m.\nAnswer: 60*m**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 1245, 1893, 2563, 3261?\nAnswer: 3993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 5*i**2 - 9*i - 7. Suppose -3*y - 23 = -4*o + 3, -6 = 2*y + 3*o. Let a be q(y). Suppose k + a = 172. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, -1, -10.\nAnswer: -17, -10, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 7, e: 2, m: 5, p: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 6340*i - 44378\/7.\nAnswer: -2*(i + 1)*(i + 22189)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 9*y**2 + y + 6. Calculate h(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27625953 divided by 3?\nAnswer: 9208651","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812 and 16.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 36*w**2 + 4*w + 97. Is x(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12 (b) 4 (c) 0.8 (d) 34 (e) 5 (f) -5 (g) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 13) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/9, -3, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = -65*p - 134 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133330 - 1023122?\nAnswer: -1223112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 17. Calculate v(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.09 + 0.01. Let c = w + -1.0977. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*i = -2 - 15, -4*i - 40 = -5*r. Solve -3*a = 9, r*x = -a - 4 + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60\/(-9*(-3)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7)**(-12\/17) assuming k is positive.\nAnswer: k**(-84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -23, -7, 25, 79, 161?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 13 - 4*v**2 + 3*v**2 + 11*v + 10*v**2. Suppose -5*z = -2*z - 30. Calculate d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 591, 2037, 4851, 9489, 16407?\nAnswer: 26061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 42117856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -120410 divided by 1490?\nAnswer: -12041\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11110000110 (base 2) to base 3\nAnswer: 2122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613443 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -862*w - 3 - 560*w + 238*w + 3 in the form y + x*w and give x.\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide ((-38)\/57)\/(2836\/1419 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.95 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 - 3*w + 22. Let f be i(4). Which is the third smallest value? (a) -3 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u + 15*u - 7*u + 1 + (2*u + 0*u - 4*u)*(7 - 4 + 2) as r + m*u and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138564749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25*((7600\/2625 - 4\/42) + -3). Let v(b) be the first derivative of j*b**2 - 5\/4*b**4 + 18 + 0*b + 5\/3*b**3. Let v(u) = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2))\/o*o**(1\/2))\/((o*o**(-2\/15))\/o**(-2\/11)) assuming o is positive.\nAnswer: o**(-841\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 7) in base 16?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065309 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 + -1)*-6. Let w(k) = -7*k**3 - 8*k**2 + 3*k + 1. Let n(f) = -f**3 + f. Let h(c) = 6*n(c) - w(c). Let i be h(v). Solve -5*u = -i + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 11*b**2 + 7*b**2 as p + i*b + o*b**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 8, q: 1, x: 4}. Give prob of sequence kkxx.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/28*24\/54\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-1\/4)))**(2\/117)*k**(-9)\/k**(-1) assuming k is positive.\nAnswer: k**(-1873\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 13 = 4*g - 4*r, -10 = 5*g + 5*r. Let f be (1 - (-2 + 2))\/g. Round f to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/13 + 1044*x**2\/13 + 272094*x\/13 + 14771048\/13 = 0. What is x?\nAnswer: -101, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:12 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10495 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 128. Suppose -8 = -4*a - 28, -3*n - 4*a = 77. Let l = p + n. Solve -c - 4*c = -l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 4) in base 11?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**3 - 4*i**2 - 3*i + 3. Let l(d) = -17*d**3 + 11*d**2 + 9*d - 8. Give -4*l(f) - 11*y(f).\nAnswer: 2*f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 - -12) - -4 - -3 - -2) + 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25985 + -4012?\nAnswer: 21973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -161, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 2, 3\/89, 163, 5, 17?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -825.6009 rounded to the nearest 10?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 590 and 60510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhko when four letters picked without replacement from {k: 1, h: 3, o: 5}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 11:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -3. Let g = -17 + a. Factor 3*l**2 + g*l**3 - 4*l**3 + 3*l**3.\nAnswer: 3*l**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000605211484 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = -3*m, 3*w - 3*m = -2*w + 15. Let y be (1 + -2)*w - 1. Sort 2, 0.3, y in decreasing order.\nAnswer: 2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -3.66. Let w = i - 0.04. Let g = w + -3.2. Which is the third biggest value? (a) -1 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 30 + -3 - -30 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13537 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: How many minutes are there between 1:51 PM and 2:02 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -44*a**2. Suppose n + 0 = 2. Suppose -b - 2 = -n*b. Let z(l) = 38 - 2*l**b - 38. Determine z(q(d)).\nAnswer: -3872*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let i = -0.926 + 1.126. What is the third smallest value in -0.25, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82013 rounded to two dps?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90aab + -11?\nAnswer: -90b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 18*v + 51. Let p be l(-21). Let h = 118 - p. Differentiate -11*z**4 + 11*z**4 + 10*z**h + 6*z**4 + 25 wrt z.\nAnswer: 64*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 550*f + 0*x - 1141 = -x, -4*f = 3*x + 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 w when four letters picked without replacement from oadwdda.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.6 + -4.6. Sort 2, 1\/3, a, -4\/7 in decreasing order.\nAnswer: a, 2, 1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 12. Let b be p(8). Let n be (12\/(-39))\/b*2. Sort -2, n, 0.1 in decreasing order.\nAnswer: n, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222*0.5\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiui when four letters picked without replacement from {t: 2, e: 9, u: 1, i: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 651?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let a(d) = -386*d**2. Determine s(a(m)).\nAnswer: 386*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 126*z**2 - 66*z + 140. Is r(62) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 24*d**2 + 42*d + 43. Let n(f) = 178*f + 6430. Let s be n(-36). Give l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 1, 1 = -713*h + 711*h + 3*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 12*c = -900. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140687 divided by 4527\nAnswer: -140687\/4527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 1. What is u(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 12:29 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l - 14. Which is smaller: l or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - q**2 + 16*q**3 - 3*q**2 - 8*q**3.\nAnswer: 8*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 352131 (base 6) to base 4\nAnswer: 13121113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*y = -3*u + 2*y + 35, u - 9 = -y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1601, -3306, -5011, -6716?\n\"Answer: -1705*m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-2047))\/((7752\/(-38))\/(-34))\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:18 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**13*o\/(o\/o**(-1\/13))*(o**(1\/8))**(-15\/8))**(46\/3) assuming o is positive.\nAnswer: o**(-235589\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 585 + -413. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from cicciciccc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22 + -21 - 5\/(-1). Find the common denominator of -39\/8 and t\/(-726)*-11 + (-483)\/110.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2. Let d(g) be the first derivative of 0*g + 1\/2*g**2 - 5. Calculate d(x(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 130.8421 and -0.2?\nAnswer: -26.16842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 5*a**2 - 2. Let l be h(5). Suppose 426*f + 45 = 421*f. What is the units digit of (-11 - l)*f\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by ((-43)\/(-86))\/((-3)\/(-210))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3387639 and 0.000017.\nAnswer: 3387639.000017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260639750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1506.260735 to 1 decimal place.\nAnswer: -1506.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.06, -5, 37\/6 in descending order.\nAnswer: 37\/6, 3.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1509*v + 1498*v = -419287. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 196. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 75.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10313828*l - 2747 - 10306835*l - 900 wrt l.\nAnswer: 6993","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9902782mm to meters.\nAnswer: 0.0009902782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00384570547 rounded to 5 dps?\nAnswer: -0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 3 (b) -103 (c) 0.6 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - 129\/(-6). Suppose 2*l - 4*l = -j. Let p(h) = -100*h - 3491. Let f be p(-35). Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.55 + 0.481. Let w = 8.069 + x. Which is the closest to w? (a) -2 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/63)\/((-2)\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3090 - -11910. Suppose 0*o - 2*o + f = 0. Let z be ((-624)\/2)\/(3\/o). Round z to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -56*a**2 - 3*a + 57*a**2 - 5 + 7*a. Let c be w(-4). Is c\/((-3)\/39*1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -5*m - 130. Let v(i) = -i + 3. Give v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(684) + 5 - (-2 + sqrt(171) + sqrt(475)*1))*-3*-5)**2 + -1.\nAnswer: -63000*sqrt(19) + 1721024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5857\/32 (b) 0.8 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 477\/693 - 48\/88?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*p + p - 12, 12 = 4*a + 4*p. Suppose 3*z + 5*h - 18 = 2*h, a*z + 4*h = 22. Let y(n) = n**3 + 5*n**z - 1 + n + 3 - 4. Calculate y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409295049?\nAnswer: 3, 71, 1921573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -271, -427, -601, -799, -1027, -1291, -1597?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/49)\/(r\/(((r*r*r*r**(-10\/3))\/r)\/r)))\/(r**(-9)\/(r**(-1\/9)*r)) assuming r is positive.\nAnswer: r**(2873\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 12152039.1 to the nearest one thousand.\nAnswer: 12152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 23 = s, -s - 4 = k. Let x be (-15)\/k + 0 + -2. Let j = -404527\/21 - -19263. Is j equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.60075 + 51.1. Let s = -0.3 - 0.2. Let q = g + s. Round q to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -222319 at least 4\/287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.007.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95835000?\nAnswer: 2, 3, 5, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128948 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2499*x + 528 + 524 - 1052 - 4996*x + 2497*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68097271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 - -1.9. Let t = 6 + -4. Which is the nearest to 0.1? (a) t (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.895100263 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j + 1. Let y(x) = -3*x**3 - 8*x**2 + 4*x + 13. Let v(c) = -4*p(c) + y(c). Let q be v(8). Suppose 2*w - 51 = q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 - 7*w - 6. Let v be n(-6). Let i = 6 - -12. What is the highest common divisor of v and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*b + 26463 - 95879 + 69416.\nAnswer: -149*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3075, -3 in descending order.\nAnswer: 3075, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 76491, 4, 1\/48, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - c. Let l be p(-1). What are the prime factors of (-8)\/l*(-75)\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-7))\/o**(-3\/10) assuming o is positive.\nAnswer: o**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*u = -4*u + 13, 2*u - 6 = 0. Let d = -2093\/41 + 51. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1411 (base 12) to base 13.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281.00000321 + -281. What is v rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 9) to base 6.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011 (base 2) to base 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.385*0.072\nAnswer: 0.24372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 + 13632*y**4 + 23296988*y**3 + 231948480*y**2 + 579020450*y = 0.\nAnswer: -3403, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 314187 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 0. Let i be 1\/5 - (-11)\/(-5). Is d + (1 + i)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 34 + 329. Let h = 65 - w. Solve h = -3*o + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47977130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c - 29. Let j(i) be the first derivative of -5*i**2\/2 + 10*i - 3. Let o(l) = -17*j(l) - 6*y(l). What is o(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/85932 and -109\/49808.\nAnswer: 97275024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -128*u**3 + 222416*u**2 + 166839*u\/2 + 7821 = 0.\nAnswer: -3\/16, 1738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and 145.91.\nAnswer: 145.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*y = 55*y + 3050. What is the smallest common multiple of y and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c58c4 (base 13) to base 10\nAnswer: -2211694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in -5\/2, 6, 2\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(456*u**2 + 653*u**2 - 96*u**2).\nAnswer: 5065*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 623*w - 633*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 14) to base 7\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(132)*1)\/sqrt(4))\/(sqrt(22)\/sqrt(2)*-2))**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = 24. Let z = q - -46. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*11\/605)\/((-20)\/200)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -6 + -1 + (-8 - -5) + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*m**4 - 183*m.\nAnswer: 2424*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -1111000?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 4, 14, 7, -228, 5 in decreasing order.\nAnswer: 14, 13, 7, 5, 4, -4, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 4. Let t be x(-3). Let i = t + 6. Factor -2\/7*p**3 + 0*p**i - 4\/7 + 6\/7*p.\nAnswer: -2*(p - 1)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 240 = 0. Suppose -h = -2*q + 5*p, 5*q = q + 2*p + 64. Let s be -2 - -4 - q\/10. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.24*0.238.\nAnswer: -6.95912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73109 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 129 = i - 7, 0 = 2*i - 5*o - 252. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 89548 = 5*z. Suppose 10569 = u - z. Suppose u - 2956 = -3*f. What is f rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. What is the second derivative of -3*n**5 - 4*n**2 - y*n + 7*n + 4*n**2 wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -710 + 710. Sort t, 2, -6.\nAnswer: -6, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8061531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:17 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Let l = 4.6 - -0.4. Which is the biggest value? (a) t (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 12*w + 432. Let k = -63 + w. Calculate the lowest common multiple of k and ((-6)\/4)\/(6\/(-32)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxpxxxpxpxxxxxxxxxx. Give prob of sequence pp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 5. Let a be q(13). Let u(j) = -j**3 - 8*j**2 + 2. Let x be u(a). Suppose -2*l + 0*l = -5*h + 6, -5*h + 34 = x*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33085 times -6?\nAnswer: -198510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -938 - -940. Suppose -2*y + 3 + 1 = 0. What is the second derivative of 2*z**k - 4*z**y - 3*z + 10*z + 5*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:00 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -18. Sort y, -4, -2, 0 in descending order.\nAnswer: 0, -2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.47607 less than 1?\nAnswer: -23.47607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/6 + (-14)\/21. Let m be ((-18)\/(-27))\/((-4)\/n). Is 4\/3 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -c + 2846, 834*s - 829*s = 3*c - 8558. What are the prime factors of c?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 9. Suppose 21*w - 175 = -4*w + 275. What is h(w)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33104182 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 2. Let b(i) = 5*i - 2. Let m(y) = -y**3 - y**2. Let a be m(-2). Let u(g) = a*l(g) + 5*b(g). Calculate u(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*1116\/(-3255)*350\/(-84)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*z**2 + 0*z**2 + 4)*(-z - 3*z + 2*z).\nAnswer: 12*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173751 is divided by 1368?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1918872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-128))\/(7\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*p - 54*p**2 + 616*p - 38*p**3 - 1927*p + 655*p.\nAnswer: -38*p**3 - 54*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2711342 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 5*w**2 + w - 4. Calculate s(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 2, g: 1, t: 1}. Give prob of sequence yig.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30758 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-4*k - 3*k - 11*k) + k - 5*k + 5*k - 3*k + k + 0*k + (4 - 2 - 4)*(-2*k + 3*k - 3*k) + k + 5 - 2 - 1 to the form i*k + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6707805.\nAnswer: 3, 5, 13, 41, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -7, -1221.\nAnswer: -1221, -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*w + 80, 41*g - 3*w + 100 = 46*g. Calculate the greatest common divisor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1324, -5, 1, 5, 4.\nAnswer: -1324, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12855 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q - 21. Let r = 2 - -2. Suppose -n = 3*n - 5*s - 59, -69 = -r*n - 5*s. What is the remainder when n is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**3 - 2*q**3 - 3*q**3)*(-q + 2*q + 6*q)*(-27*q - 36 + 36).\nAnswer: 2457*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 88310?\nAnswer: 176620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-6) + 5\/(-15). Let g(h) = -4*h + 2. Let r be g(-2). Let y be 1 - u\/(-12)*r. Is -1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = 14*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cocc when four letters picked without replacement from {u: 14, c: 5, o: 1}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47a3126 + -5?\nAnswer: 47a3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-6))\/4)\/(9\/(-135))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1620)\/(-270) - (-28 - -4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*x = 62*x + 4517 + 1363 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 11:17 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50815 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10778*q = -2*k - 10779*q - 36, -5*k + q + 4*q = -135 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/3, 1\/2, -2\/69, 3\/4, -15, -2\/12953?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5058474 or 5058486?\nAnswer: 5058474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 371092578 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 10*j = 119. Let g(u) = -4*u**3 - 16*u**2 - 8*u + 9. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1431 - -1431.3284. Let q = -184.0284 + n. Let b = 193 + q. What is b rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -862, -1954, -3046?\n\"Answer: -1092*m + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n + 1540 = 2*c, 5*c = -n + 3850. Let b(m) = 8*m**2 + m**3 - c - 7*m - 5*m**3 + 780 + 3*m**3. Determine b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-284)\/(-6)*(5 - 104\/16). Let m(h) = h**3 + 6*h**2 - h - 8. Let l be m(-6). Put -5, l, u in increasing order.\nAnswer: u, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 56*p = -57*p - 1984 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 42 = 3*p. Suppose 3*q - 2*w - 24 = 43, q = -w + p. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*f - 28*f + 24*f**2 + (3*f + f - 3*f)*(2*f - 6*f - 3*f) + 0*f**2 - 3*f**2 + 4*f**2 - 4 + 3*f**2 + 4.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -139, 0 in ascending order.\nAnswer: -139, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s - 5. Let c = 2.8 + 0.2. Let v = -0.01 - 0.09. What is the nearest to v in s, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = i + 4*l - 3, -5*i = 4*l - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v. Let d(t) be the first derivative of -13*t**2 + 227. What is d(n(j))?\nAnswer: -182*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 79, 192, 391, 700?\n\"Answer: 4*a**3 + 7*a**2 + 2*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/60 + z**4\/6 - 2*z**3\/3 - 3*z**2. What is the units digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 + 14. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**0))\/c)\/c)\/c**(-2))\/(c**(4\/3)*c*c**1) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (348\/(-522))\/(4\/54). What is the second smallest value in -1\/7, n, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 25 = 35. Let n(p) = -70*p**3 + p**2 + 2*p + 2. What is the remainder when n(-1) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.5 (b) 2\/5 (c) -1\/6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 17531756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-9))\/(3\/(-27)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -5. Suppose i*v + 0*v = 8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283573 is divided by 487.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 3 + 3 - 3. Let k(j) = -3*j + 5. Let m(v) = -v - 4. Let t be m(-6). Suppose -2*w - t*r + 3 = -3, -w = -4*r - 3. Give w*k(d) + 5*b(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11815 - -12070. Calculate the remainder when j is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 8:54 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/1686 + 19967\/8430. Determine i, given that -4\/5*i**5 + 0*i - f*i**4 + 0 - 4\/5*i**2 - 12\/5*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569985710 is divided by 304.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y - 12*y + 8*y**2 - 3 + 3 - 3*y**2 + (-2*y - y + 2*y)*(5*y - 4*y + y) - y - y**2 + y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6718 - 6717.92. Which is the nearest to 1\/9? (a) -2 (b) 0.9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:10 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -3, -26 in descending order.\nAnswer: 4, 3, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -192 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19818 and 5872?\nAnswer: 158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 252 and 0.5.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003088008 to six decimal places.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 206478 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 9. Let v(s) = -s**2 + 7*s - 2. Suppose -2*z + 25 = 3*z. Let d be v(z). Is a(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 34. Suppose -p + 2 = 5*t. Let i = t + 7. Solve -3*o = -i*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73089064 is divided by 9010?\nAnswer: 8954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -244?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 25*v + 16. Let b(p) = -5*p - 3. What is -11*b(i) - 2*l(i)?\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, -13, 294, 2 in increasing order.\nAnswer: -13, 2, 3, 33, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -152837 divided by 4?\nAnswer: -152837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 23*m**2 + m**3 + 2 + 6*m**2 + 0 as b + t*m**3 + z*m**2 + q*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 - (17 + -13)) + -10 + 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 5 - -6 - -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126384 by 6.\nAnswer: -21064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305452711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-9)\/4). Let u = 1142 - 1144. What is the nearest to u in -1, 5, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8861*q = -8863*q + v - 11, -4*q - 4*v - 36 = -2*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 33*w**2 - 94*w - 7. Determine a(30).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-3)\/(-1) + -4). Suppose -5*d - 16 + 41 = o. Solve -3*y - d*p - 7 = -y, 3*y + p = 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051146096 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 + w**2)*(-5*w + 2*w + 4*w + (-w + 3 - 3)*(2 + 3 - 3) + 2 - 2 - 2*w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123.44 + -329.\nAnswer: -452.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.095.\nAnswer: -0.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-39))\/(570\/(-1235))*(-72)\/260?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14648 - 14574. Solve 0 = -d*z + 65*z + 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (47\/(-94))\/(22\/4). Let c = 13 - 11. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times 11706.5?\nAnswer: 2680788.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:27 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u - 24. Let d be j(15). Let r be 2 + d\/15 - 2\/5. Let n(k) = 44*k. Let m(s) = -8*s. Determine r*n(o) - 28*m(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 28687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2058 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 21*l**2 - 2*l + 2. Let s be b(1). Suppose 17 = 3*p - 4. Calculate the highest common factor of p and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 136598, 3, 49 in descending order.\nAnswer: 136598, 49, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k + 0*k + (-2 + 4 + 0)*(1 + 2*k - 1) - 2*k + 0 + 0 - 1 + 3*k + 1 + 0 + 0 - 2*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2\/7, 3, -4915, 0.3.\nAnswer: -4915, -46, -2\/7, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w - 2*n + n, -10 = -2*w + 2*n. Does 15 divide 6\/w + 1 - -42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from ausxaeeaa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-14))\/3)\/(48\/32).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 145858720 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -163511500?\nAnswer: 163511508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 928 = -b + p, 0 = p + 2. Let z = -204 + b. Calculate the remainder when z is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -507*a + 3510. Determine c(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/56 - (-1)\/2. Let y be (-2)\/5 + 18\/(-5). Let j = 1.5 - -0.5. What is the second biggest value in y, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 16, -3, 3.\nAnswer: -11, -3, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 5*r - 141 = -56, -2*r = -3*q + 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*q - 8*q, -3 = 3*q. Sort -1\/6, i, -2\/3, -2\/23 in ascending order.\nAnswer: i, -2\/3, -1\/6, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 172344?\nAnswer: -73\/86172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (384 - 417 - (2 - 2 - 14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*h - 45 = -0*w, 0 = -4*h + 20. Let m be (-8)\/w - (-4)\/10. Which is the third smallest value? (a) 5\/6 (b) 1\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-543 + 359 - 1159)*(1 - 2 - 1)*(-2*n + 0*n + 0*n) - 3*n + 2*n + 2*n.\nAnswer: -5371*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215043 + 215043 - 416*r - 226*r.\nAnswer: -642*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -16*b + 25. Let y be 4 - 2\/(12\/78). Does 27 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11960.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 6, o: 3, t: 2, g: 3, c: 5}. Give prob of picking 1 f, 1 q, and 1 o.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4519037*p. Let f(r) = 45*r. Give x(f(z)).\nAnswer: -203356665*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s + s. Let i be (s - (-4 - -1)) + -5403. Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.5 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -6, -3, 0.\nAnswer: -7, -6, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 14*w - 6. Let l(i) = i**2 + i + 1. Suppose -5*s + 3*d + 15 + 12 = 0, s + 2*d - 8 = 0. Let k(p) = s*l(p) + t(p). Let k(r) = 0. Calculate r.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/7)*c)\/(c\/((c\/(c\/(c**(-2\/11)\/c)))\/c*c)))**(-2\/5) assuming c is positive.\nAnswer: c**(6\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*n)*(2*n - 3*n - n) - 7*n**2 - 6*n + 6*n as u*n + a + s*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 2*y**3\/3 - 4*y**2 + 12*y - 2113. What is u(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505, -608, -797, -1078, -1457, -1940?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808 and 226008?\nAnswer: 8814312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79925630.\nAnswer: 2, 5, 1109, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-375)\/(-675)))\/(1\/(30\/(-2))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, 0.79, -1\/23, -2, -0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -11012?\nAnswer: -11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 20*s**2 + 2*s + 46. Let g = -46 - -26. Let t be l(g). Suppose -t*c + 10*c - 2540 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let j = -854 - -858. Suppose j*m - 4*y = 36, y - 3*y - 38 = -4*m. What is the smallest common multiple of l(4) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b + 2. Suppose -10*z + 3*z - 35 = 0. Determine v(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.4, -2\/7, -1, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -18) + -3 + -3. Suppose 0 = -2*g + 2*b - 5*b + 182, 0 = 4*b + r. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from buuwuuuuwwuuwuuwuuuu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -133121320*l + 133121318*l + 103*l**2 + 40 + 12 in the form k*l**2 + p*l + x and give k.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 415936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 16. Let r(q) = q**2 - 14*q - 17. Let z be r(13). Let a = 19 + z. Give u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -5191*r**3\/6 - 1171*r. Let z(j) = -2*j**2. Calculate a(z(i)).\nAnswer: 10382*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 228264309 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, q: 4, y: 2}. What is prob of picking 2 y and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 419*u**3 + 15*u**2 - 8*u - 7. Let i(q) = -q**3 + 2*q**2 - q - 1. Calculate -7*i(g) + l(g).\nAnswer: 426*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.4, 2, 0.6357, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558089.\nAnswer: 3, 13, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 1. Let k(f) = f**3 + 2. Let d be k(0). Suppose p = d*p - 10. What is the least common multiple of p and a(2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196112, 392220, 588332, 784448, 980568?\nAnswer: 1176692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/160 + 13*j**4\/96 + j**3 + 9*j**2\/4 - 70*j + 2. Factor c(r).\nAnswer: (r + 1)*(r + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, a: 7}. Give prob of picking 2 a and 2 d.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 10. Let g(h) = 6*h**2 + 4*h - 5. Let t be g(1). Suppose 4*o + q = -17, -37 = t*o + q - 5*q. Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 70*v + 16. Let i be q(23). Suppose 0 = -2*n - i + 71. Solve -4*b + 0*b + n = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:30 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p + 54 + 536 - 266 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 173. Let r be n(0). Suppose 3*v - 921 = -h, 447 = 7*v + 2*h - 1702. Let l = r + v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -13*m**4\/2 - 61*m**3\/2 - 19*m**2\/2 + 129*m\/2 - 18 = 0.\nAnswer: -3, 4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-5) - 10\/((-700)\/42182).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, 3\/4, -89\/2, 1.84, -3, 56?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 116104138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34349*v**4 + 17173*v**4 + 21*v**2 + 17177*v**4 - v + 2*v**3 + 1 to s*v**3 + d*v + m + r*v**4 + y*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*(w**3\/w)\/w*w)*w**(-8))\/(w**5*w\/(w\/w**(-3\/2)))*(w**(-4)\/w*w*w\/((w*w**(-1\/10)*w)\/w))\/((w\/(((w**(1\/4)*w)\/w)\/w))\/w)**(-32) assuming w is positive.\nAnswer: w**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140659\/13 + 752239\/260. Let m = -13716 + a. Calculate the common denominator of m and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2)\/sqrt(6) + 0 + -3)**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/13390?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y + 60. Let w be y\/15*3\/(-9). Let u = w + -14\/15. What is the third smallest value in -2\/13, -4, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:45 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -72572, 13.4, -1\/8?\nAnswer: -72572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18218958 and 5028?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4 + 120*w**3 - 7596*w**2 + 77328*w - 217728 = 0.\nAnswer: -168, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -0. Let x be 4\/((3\/12)\/1). Let f = x + -11. Sort f, -2, v.\nAnswer: -2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -255 - -257. Calculate the remainder when 426 is divided by (-33)\/l*(-4)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Which is the nearest to g? (a) -4 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230 * -6.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 18928 - 18946 = -5*z, -3*l - 3*z = -30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, 1 l, and 1 w when four letters picked without replacement from {l: 1, h: 2, t: 2, c: 2, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69796000 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 3. Let j(g) = 5*g + 4. Let d(n) = 4*i(n) - 3*j(n). Let q(x) be the third derivative of x**5\/10 + 2*x**2 + 18. Calculate q(d(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w**2 + 33*w + 174. Let q be z(-5). Let a = 71 + q. Solve -3*n - 19 = 5*h, -5*h + a*n + 5 = -0*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8) + (-133000)\/(-14840)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566 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: Let f = 4836 - 2823. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-12)\/(-15)*5\/2. Suppose b*y = 27 - 11. Suppose y = -6*p + 10*p. Solve 9 - 1 = -p*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.8 - 56.2. Let m = -66.83 - h. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**3 - 4*r - 1. Let x(l) = -l**3 + 3*l**2 + 4*l - 6. Let g be x(3). Let h(b) = 8*b**3 - 4*b - 1. Calculate g*h(n) - 7*f(n).\nAnswer: -n**3 + 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + 3*c - 1039, 4*c = i - 255. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from ebbtbqbtzebtzztbhq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/17 - 13823432*z\/17 + 23885909032328\/17.\nAnswer: 2*(z - 3455858)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324072, -1296380, -2916890, -5185602, -8102516, -11667632?\nAnswer: -15880950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10874 - -10872. What is the nearest to -1 in -111, 1\/7, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 53 - (-133 + 153).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94295\/1428 - -3356\/51. What is the common denominator of x and -17\/22?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767516 is divided by 153489?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38822159 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43662657 and -5?\nAnswer: -218313285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*284\/639?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 23. Let y(v) = 28*v**2 - 5. Let r(f) = -33*f**2 + 6. Let g(i) = -5*r(i) - 6*y(i). Calculate g(l(u)).\nAnswer: -3*u**2 + 138*u - 1587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/20*3\/1. Let w be (-2)\/(-3) - (2 + 0). Which is the nearest to 2\/3? (a) w (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Let s = d + 0.1. What is the third smallest value in s, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/((-27)\/(-6)) - -2. Suppose -3*b + j*s = -21, 0 = 5*s + 4 + 11. What is the highest common factor of b and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053)*-4 + 5)**2 + (-6*(-3 + sqrt(1053)))**2.\nAnswer: -2214*sqrt(13) + 47734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 1\/6*b**4 + 0 + 0*b**2 + 0*b**3 + 2*b. Let u(c) = 4*c + 7. Let p(i) = 3*i + 5. Let o(t) = 7*p(t) - 5*u(t). What is o(z(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7516421 and 4099866?\nAnswer: 45098526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210342102 (base 5) to base 8.\nAnswer: -22163461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12005\/8 - 1501. Is 71 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + ((0\/1)\/(-2))\/1. Let p be 0 - 2\/t - (-1335)\/105. Solve r = 3*a - p, -5*r + 5*a = 2*a + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) -0.176 (c) -3553 (d) 0.5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(12)\/sqrt(3)) + 4 + -4 + (sqrt(66) - ((sqrt(66)*2 - sqrt(66))*3 + sqrt(66) - sqrt(66)))\/(4*sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 - 2*n + 2. Let z be o(2). What is the remainder when 463 is divided by (21 - 6\/(-12)*z) + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-2)\/76*(4 + -8 - 132\/(-36))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -319. Let h = 7 + 12. What is the highest common factor of h and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 619*t**3 - 4298*t + 0 + 4298*t.\nAnswer: -619*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2316)\/(-15) + (-30)\/(-50). Solve -j = -3*o - 164 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 20 + -17 - -61 - 13.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5546 by -60171.\nAnswer: -5546\/60171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + 36 - (-7 - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -7*b**4\/12 + 3*b**3\/2 + 6*b - 1. Let r(i) be the first derivative of a(i). Find the second derivative of r(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -582 - -0.02938106.\nAnswer: -581.97061894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -502624, -1004957, -1507290, -2009623, -2511956?\n\"Answer: -502333*b - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woxxxxgnx. What is prob of picking 1 g, 1 o, and 1 n?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65143 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 203?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/6*g**4 - 2\/3*g + 2\/9*g**3 + 3 - 1\/3*g**2. Factor y(w).\nAnswer: 2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49770 and 9.\nAnswer: 49770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1590 + -1585. Which is the second smallest value? (a) 3 (b) -258 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 2, m - 3*a - 10 + 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 2, t: 1, x: 1, z: 2}. Give prob of sequence tkk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/22)\/(((-60)\/(-32))\/5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*c + 659, 219 + 443 = 5*c + 4*q. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.340629g in milligrams?\nAnswer: 340.629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.699 - 0.071. Let c = -0.97 - q. Put 1\/4, c, -1\/2, -2 in decreasing order.\nAnswer: 1\/4, c, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 6*b - 2. Determine d(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-590)\/(-168) - 6\/(-9). Let r = -24\/7 + n. Which is the second biggest value? (a) r (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760 and 68491048?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -55d4d (base 15) to base 9\nAnswer: -455431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 66904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 4*m + 3. Let i = -10 + 39. Suppose 0 = 3*n - 3*x + 15, -2*n + 5*n + i = -4*x. Let k = -4 - n. What is b(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 1301312233?\nAnswer: 1301312132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l**2 - 4*l**2 + l**2)*(-2 + 5 - 4) + 3*l**2 - 6*l**2 + 2*l**2 - 1 + 3*l**2 + 1)*(l**2 - 4*l + 4*l).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 103*p**6\/40 - 173*p**4\/6 - 404*p**2. What is the second derivative of b(h) wrt h?\nAnswer: 1854*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13696 - -19197. Is h 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 htjpptdjtttptjjptttj. What is prob of picking 1 j and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 + 7*x + 6. Determine v(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 + 3)\/((-42)\/231*-22).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/185 and -47\/330862436.\nAnswer: 1654312180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-2990)\/(-10764)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(11\/8 + -1). Let f = y - -3\/8. Let n = -58\/3 - -19. Which is the nearest to -1? (a) n (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.5 - 8. Let x be 4\/(-6) + (-74)\/6. Let g = x - -18. Which is the closest to 0? (a) 2 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -220. Suppose u*p - 2816 = 7*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 t when three letters picked without replacement from vfvvottfv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2) - (-56007)\/13590. Let h = 57700\/3 + -43563548\/2265. Let i = a + h. What is the common denominator of -46\/7 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19991815726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 382796085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -111641 (base 13) to base 10\nAnswer: -403118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 57, 0.26, -0.5, 1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36701, -73396, -110091, -146786, -183481?\n\"Answer: -36695*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)*d\/((d*d**(-2))\/d))\/(d**0*d**(-9)))\/(d\/((d*d**(-5\/4)*d)\/d)*d**(-1\/5)*(d*d**(-2)*d*d*d)\/d*d\/d**(-2)*d) assuming d is positive.\nAnswer: d**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 9467709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 3) + -5 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 32 = -10*l + 2*l + 3*l, 2*l + t - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 - 2459*n + 62730. Calculate x(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*f**5*k - 2*f**4*k + 2*f**2*k + 2*f + 63*k wrt f?\nAnswer: -880*f**3*k - 24*f**2*k + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -73.22. Let d = 0.7 + v. Let t = d - 0.92. Is t >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 minutes after 11:55 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1462)\/860)\/(((-6)\/(-8))\/(-30*(-7)\/(-28))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35842 is divided by 17919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - z**2 - 21*z - 92. Determine u(0).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 12. Suppose -r*w + 18*w = -100. Solve 3*q - w = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694797339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*q + 2*j - 1, 0 = 2*j - 2. Let m = -28 + 50. Let l be (1 - (-4)\/m) + -1. Is l at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Suppose 4*z = 4*l - 12, -z = z + l - 6. Let f = 1 + z. Let p(y) = f*y + 3*y - 3*y. What is p(c(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 523763*j**3\/7 - 15712894*j**2\/7 + 117846795*j\/7 - 900\/7 = 0.\nAnswer: 4\/523763, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -164301*q. Let d(y) = -y**2 + 11. Calculate d(h(w)).\nAnswer: -26994818601*w**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxtcqxqctfvctctvfxx. What is prob of picking 1 q and 2 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y**2. Let d(b) be the third derivative of 0*b**3 - 3*b**2 + 0 + 0*b - 1\/12*b**4. What is d(j(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6213696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2232?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -0.043367\nAnswer: -2.16835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 2*u**2 - 2*u**2 - 2*u + (2*u - u + 7*u)*(-2*u - 3*u + 2*u) to the form z*u + s + k*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102838 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2)\/4*0. Suppose o - 5 = -3*w, o = -v*o + 2*w - 5. Put -4, -2, o in ascending order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 9*y**2 - 10*y + 4. Let x be z(-10). Let c(v) = 4 + x*v - 2 - 1 + 1. Let s be 2*(-1)\/1 - 0. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 - 253. Is 78 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011111001101011 (base 2) to base 14\nAnswer: 13a9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -555, -791, -1171, -1689, -2339, -3115, -4011?\n\"Answer: n**3 - 78*n**2 - 9*n - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4*p - 9. Let i(x) = x**2 - 5*x - 8. What is -3*i(f) + 4*w(f)?\nAnswer: f**2 - f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 + d - 6. Let s(k) = 25*k**2 + k - 5. Let z(l) = -5*o(l) + 6*s(l). Find the second derivative of z(w) wrt w.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6126, 8921, 11716, 14511, 17306?\nAnswer: 20101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 0. What is the second derivative of q*x - 6*x - 5*x - x**4 wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*r = r - 4, -2*r + 1 = -n. Suppose -n + 0 = -p. Suppose -p*z + 0*z + 65 = 0. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -5*t + 3*l + 3792, 5*l - 750 = -t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -78)\/(-1 + 0). Suppose 5*y - s = 4*g - 15, -4*y - g + 57 = 0. Let b = y - 10. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49.47 + -49.66148. Let q = b - -0.188. Round q to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 9) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, 89, 119, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, 3, 5.\nAnswer: 2, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28202.4 + -31381. Round w to the nearest ten.\nAnswer: -3180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - -8 - (1 + -7). Suppose i = 3*b - 17, i = -5*b + 17 + w. Suppose 2*v - 25 = -5*z, 5*z + 2*v = 4*v + b. Solve -2 = z*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -0.4 (c) -3.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-14)*(3 + 1\/1). Let c(i) = 4*i**2 + y*i**2 - i**2. Let u(b) = 5*b. Let f(m) = 11*m. Let s(z) = 4*f(z) - 9*u(z). Determine c(s(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27a8 (base 14) to base 9\nAnswer: -10546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxko when four letters picked without replacement from {h: 2, o: 2, k: 1, x: 6, n: 4, p: 3}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -6, 99, -4.\nAnswer: -26, -6, -4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 211122?\nAnswer: -211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -818, -1648, -2810, -4304, -6130?\nAnswer: -8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -u - 21, 23 = 4*z - u - 5. Let d be 7\/35 + 14\/5. Let p be 29 + 0 + d + -4. What is the greatest common divisor of p and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(6\/(-5))*(-2)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*z - 2*z - 28, -5*j + 5*z + 50 = 0. Solve 5*q - j*d - 8 = -2, 9 = 4*q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 + a**4\/3 - 3*a**3 + 300*a**2. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322132 (base 13) to base 5.\nAnswer: -300104410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -177*t - 169. List the prime factors of g(-19).\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:04 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*q + 51*q + 10. Find the second derivative of 49*v**q + 57*v + 13*v**2 + 62*v**2 + 15*v**2 wrt v.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/7)\/(a\/((((a**(2\/17)\/a)\/a)\/a)\/a))*a**(-3)*(a\/(a**(2\/19)\/a)*a)\/a*a assuming a is positive.\nAnswer: a**(-10954\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 418 - 414. Solve n + 1\/4*n**s + n**3 + 3\/2*n**2 + 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*j - 16, 0 = -242*j + 240*j + u - 6. Suppose -4*m - g = -35, m + 0*g = -2*g. Is m at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*r + 3*b, 4*r - 9 = 3*r - 4*b. Suppose -r*a + 5*l = -4*a - 245, -3*l = 15. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -26?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4220041?\nAnswer: 7, 61, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 22 - 6. Suppose 0*a = g*a + 172. Let k = a + 61. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 40*a**2 - 135*a - 55. Is f(-43) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669212249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-10 + 10)) + (-10 - (14 + 51))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1268960 and 72512.\nAnswer: 2537920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 13 = 2*a - 0*g, -3*g = 2*a + 5. Is a less than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23794*h**4 - 36*h**3*v + 8*v + 30535 wrt h?\nAnswer: -95176*h**3 - 108*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755 (base 11) to base 16.\nAnswer: 38b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*(d\/(d*d\/(d**24*d))*d*d)\/d)\/(d*d*d**(5\/7)*d*d**26) assuming d is positive.\nAnswer: d**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*p**2 - 4320*p + 1232.\nAnswer: 4*(p - 154)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + (-8 - -7) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g**3*t + 2*g**3 - g**2 - t + 22 wrt g.\nAnswer: 156*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -41. Which is the closest to o? (a) -5 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 + 8*w**2 - 4*w**2)*(3*w - 3*w - w)*(-86*w - 118*w + 0*w).\nAnswer: 2448*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + c = 11, 3*h + 3 = 6*c - c. Suppose -3*b - h*n + 12 = -0*n, -b + 4 = -5*n. Calculate the smallest common multiple of (-4)\/(1 + 3\/(-2)) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 2*z + 12*z + 12*z in the form o + w*z and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(9\/5)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8307 - -62236.2.\nAnswer: 62238.0307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*l + 1962*l = -61272 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 439?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -341980.084 to the nearest 1000.\nAnswer: -342000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from sbssssssaslsssmlsb?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 (base 11) in base 7?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513, 2938, 4357, 5764, 7153, 8518?\nAnswer: 9853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (140\/6)\/5 + 2\/(-3). What is the lowest common multiple of 30 and (o - 7)\/((-3)\/18*2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose 3*l + u = 1, -2 = -4*u + o. Let a(y) = y**2 - y + 4. What is a(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -26.15. Let u = -0.15 - l. Put 0, 3, u in decreasing order.\nAnswer: 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816316, -816315, -816314, -816313?\nAnswer: -816312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88639981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -92*i**3 + 6*i**2 + 60*i + 191. What are the prime factors of y(-3)?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:57 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 11) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*a + 26 = -a, -5*x = -4*a - 31. Suppose 1 = -w - x. Let s = 14 + -11. What is the third smallest value in -3, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -502.717 to the nearest integer.\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38592858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179677\/945 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 - 111.877. Let u = 881.923 + -882. Let s = k - u. What is the closest to s in -1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 5*k - 324 = 0. Let z = 67 - k. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1525 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -226.96 + 222. Let u = -0.04 + n. What is the closest to -2 in -0.5, u, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - 1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5131 * -46.56.\nAnswer: -23.889936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1543362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 13*l**4\/6 + 7*l**3\/3 - 53*l**2\/2 - 15*l. Is y(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-979)\/77 - -12 - (-12)\/28. Which is the closest to 1? (a) m (b) 4 (c) -48 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209746 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -201, -402, -599, -792, -981?\n\"Answer: 2*l**2 - 207*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -100636.681 to the nearest 1000.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 - 12*g**2 - 95*g - 330. Give s(-4).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 10. Solve 2*j + r = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 112*l**2 - 365*l - 4112. Calculate w(-109).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d - 8. Let r be f(-6). Suppose -4*b + 4*q - r = 0, -5 - 9 = b - 3*q. Let x(h) = -5*h**3 - h**2 - h + 1. Calculate x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:06 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -334, -335, -336, -337?\n\"Answer: -m - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 16*z + 3. Calculate the remainder when 5 is divided by k(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.705128 rounded to 3 decimal places?\nAnswer: -3.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 162*r - 27 - 23 to z*r + u and give z.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -430*d + 429*d + 3. Suppose 20 + 316 = d*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -2\/185, 0, 6\/7, 0.3, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592 + -587. What is the third smallest value in 34, -2\/3, -4, -3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:55 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 27. Let o = -22 + 46. What is the remainder when o is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22689 or -22684?\nAnswer: -22684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9724, 9718, 9710, 9700, 9688, 9674?\nAnswer: 9658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1592*j - 6320. Let c be u(4). Calculate the highest common divisor of c and 1392.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 - n + 4. Let j be w(3). Suppose 3*u + x - j = 2*u, -4*x = 2*u + 4. Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-1)\/7)\/((-5)\/35))\/1. Suppose -3*f - 25 + 7 = 0. Let n = -5 - f. Solve 2*p - n = -4*s + x, -s + 3*p + 4 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (64 + -21 - 7 - 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 4*r**2 - 12*r + 12. Let p be m(6). Suppose p*u - 15*u = -12. Suppose u*k + k = 60. Solve -k = -d + 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65943 by 65943.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 1\/4814?\nAnswer: 1\/4814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let u(m) = 682 - 682 - 61*m. What is g(u(x))?\nAnswer: 7442*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341024, 1364110, 3069256, 5456462, 8525728?\nAnswer: 12277054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 3, s: 3, a: 4}. Give prob of sequence sdad.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/15, 8\/93, 1.5, -6, 2\/5.\nAnswer: -6, -0.5, 8\/93, 2\/15, 2\/5, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 566*b - 64459. Calculate n(158).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3622*j**2 - 1946*j + 501762407.\nAnswer: 7244*j - 1946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -42, -0.2, -0.04, -1\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - n - 95 = -0*n, v - 100 = -4*n. Find the third derivative of -186 + v*d**2 + 5*d**6 + 186 - 161*d**2 wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f - 85 = 21*f. Let p(y) be the first derivative of 28*y**3\/3 - 3*y**2\/2 - 3*y + 1. Is p(f) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let m = 27 + -24.8. Let x = s + m. Do x and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5147?\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 = -t + 4, -5*t + 5*j + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 264*j + 3. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 0 - 1) - (-929 + 938)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61731?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/16597 smaller than -0.041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78695.9 and -0.5.\nAnswer: 39347.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a + 279. Let b be j(-9). Sort -3, 6, b, 5 in ascending order.\nAnswer: -3, b, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) -0.027 (c) 0.4 (d) 0.1 (e) -520 (f) -4 (g) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 302?\nAnswer: 12382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*193217.\nAnswer: 3864340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199638809.\nAnswer: 43, 641, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 2. Let z(t) = 3*t - 30. Let w(j) = -2*u(j) + z(j). Determine w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -1214*i**3\/3 - 17*i**2\/2 + 2*i - 1216. Find the second derivative of b(g) wrt g.\nAnswer: -2428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55878 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5085 = 82*j + 429*j + 3091 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3141582*b**2 - 6*b + 79?\nAnswer: -6283164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -50811 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/4 - 362*r**4 - 34125*r**3\/4 + 36299*r**2\/2 - 9256*r = 0.\nAnswer: -1424, -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*u + 16*u + 16*u - 2*u - 1314 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -23. Let g(l) = 9 - 7*l + 2 - s. Let u(j) = 3*j - 1. Determine -2*g(x) - 5*u(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 3*i - 3. Let g be -1 - 1 - 20\/(-4). Let u = 361 + -353. Let c(z) = -6*z**2 + 8*z + 8. Determine g*c(q) + u*m(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 times 6.899?\nAnswer: -2918.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v**3 + 485*v**2 + 710*v + 235 = 0 for v.\nAnswer: -47, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 209*z**4\/24 + 211*z**3\/6 + 226*z**2. Find the first derivative of c(r) wrt r.\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -40*m - 1182. Let u(f) = -89*f - 2369. Determine -9*b(g) + 4*u(g).\nAnswer: 4*g + 1162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 19. Let v be j(-8). Suppose -4*r + 84 = v*g - 3*r, 4*g - 56 = 2*r. Let i = -14 - -26. Calculate the smallest common multiple of i and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**49*s**(-7)\/(s*s*((((s*s*s**7*s)\/s)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 124977400 divided by 154675\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113620 and 1900.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 2 + z + 11*z)*(-30 - 17 - 23)*(-1 + 0 + 3) as d*z + b and give d.\nAnswer: -1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:41 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.45 + -0.05. Let g = -4.404 + 0.359. Let r = g + 0.045. What is the smallest value in -1\/6, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/35 - (-12)\/5. Suppose 0 = 2*a - t*w + 6, -2*a - 2 = -4*w + 2*w. List the prime factors of (4 - a)*3 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-14)*1\/((-2)\/16). Solve -2*m + m = y*h - 7, 3*h - 9 = 3*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4532007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 12*p = 20119. What is the greatest common factor of 472 and p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78*3\/(7 - -2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 72?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -151 + 87. Calculate the remainder when u is divided by (-50)\/(-6) + 4\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.63 + -0.37. Sort -5, -0.4, z, 2 in descending order.\nAnswer: 2, -0.4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3113 (base 16) to base 12\nAnswer: 732b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.162219 + -4.838541. Let m = h - -5. What is m rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m**(-4)\/m*m*m)*m*m)*m*m*((m\/m**(4\/5)*m)\/m)\/m)\/(m**(1\/3)*m*m**(-1)))**19 assuming m is positive.\nAnswer: m**(-1463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4. Let l be s(0). Let g be ((-231)\/(-22))\/((-3)\/l). Suppose -4 + g = 5*b. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.3, 1\/3, 6, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -930 + 1356. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668746 minus 0.3?\nAnswer: -1668746.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603024 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/13 + 1784*g\/13 - 25368\/13 = 0.\nAnswer: -906, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 49*c - 453. Calculate n(10).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(2) - (sqrt(6)\/sqrt(3) - sqrt(2))) - (1*sqrt(252) - sqrt(252))**2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006806579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064507 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 46*v - 6. Let h(m) = 9*m - 1. Calculate 11*h(n) - 2*k(n).\nAnswer: 7*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5322, -9771, -14222, -18675, -23130, -27587?\nAnswer: -32046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111719.207664+-738\nAnswer: -112457.207664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5\/3 (b) 2.291 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3045956, -3045950, -3045928, -3045884, -3045812, -3045706, -3045560?\n\"Answer: x**3 + 2*x**2 - 7*x - 3045952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 divided by 5?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3730\/11936 + 14\/32.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 87*b - 14. Let u(t) = -174*t + 29. Let w(r) = 13*a(r) + 6*u(r). Is 23 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 66.71. Let n = q + 0.69. Sort 0, 4, n in ascending order.\nAnswer: 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -8*r. Suppose -3*u + r*z - 10 = 0, -3*z + 15 = -2*u - 0. Solve 4*k - 2*k = u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:50 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v + 3. Let l = 12 - 13. Let g be f(l). What is the first derivative of -13*w**4 + 15*w**4 + g*w**4 - 5 wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -688.742033 to one decimal place.\nAnswer: -688.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328 less than 7533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -21, -42, -71, -108?\n\"Answer: -4*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 1. Let l be (-1 + -1)\/((-4)\/(-2)). Let y(a) = 3*a**3 + 2*a**2 - 2*a + 4. Give l*y(f) - 4*j(f).\nAnswer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8. Suppose -12 = o - 3*r, 5*o + 2*r - 20 = -3*r. Solve o = b*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:32 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.4, 1\/5, -20, -2 in ascending order.\nAnswer: -20, -2, -1\/3, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*d**2 - 3309*d - 510.\nAnswer: 3*(d - 85)*(13*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5486500 rounded to the nearest ten thousand?\nAnswer: -5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13164060 divided by 546.\nAnswer: 24110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.240203 centuries?\nAnswer: 2688.2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28250 + 28252. Solve -t*d + 2*p - 2 = 14, -4 = 3*d + 2*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.7285 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 8 (c) 4.59 (d) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1177*b + 532*b + 1298*b = -5038*b + 39837 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let c(v) = -162*v + 9. Let q be c(m). Let s = q + 693. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73597094 is divided by 1490.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2997739?\nAnswer: 1009, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 9:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((48\/4)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 3, -1, -5764.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 53 - (-2336 + 2315).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = -4*t. Suppose -g + 0*g - 2*p = 12, 19 = 3*g - 5*p. Let z(m) = m - 4. Let y be z(4). Sort y, t, g in ascending order.\nAnswer: t, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let y(v) = -v - 1. Let w(u) = 3*f(u) + 3*y(u). Let t(j) = -32*j + 5. Let g(r) = 39*r - 6. Let k(b) = -5*g(b) - 6*t(b). Give w(k(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*6)\/(13\/(351\/(-270))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14299263.\nAnswer: 3, 11, 43, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881338 is divided by 700.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57268723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a5ab4 (base 12) in base 15?\nAnswer: -1dd191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -4*k, 4*i + i - 37 = -3*k. Suppose -4*g + 5*g + i*h - 11 = 0, 2*h = 5*g - 1. What are the prime factors of g\/(6\/232)*(19 - 16)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-12 - (-18 - -11)) + 12 - -84.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpffpcs. What is prob of picking 1 c and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15642 = 347*x - 4191 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbbbbbb. Give prob of sequence hbbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {t: 1, m: 1, k: 1, z: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 105 = -6*t. Suppose -9*d + t = -6*d. What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {s: 4, i: 2, j: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -212202030 (base 6) to base 4\nAnswer: -32103022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831 = -5746*q + 5757*q - 5*f, -77 = q + f for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose 3*p - 60 = -q*p. Calculate the remainder when 21 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.948 + -3.348. What is the nearest to 10 in -1\/16, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -5361844.\nAnswer: -804276.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-4 - 3\/(-1)). Suppose -12*t + 9*t + 3 = g. Let r = -2.5 + 3. What is the closest to -1\/2 in t, r, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 4*i, -h - 3*i = 2*h - 33. Let u = h - 7. Suppose 10*v - 5*v - 385 = u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 19*r - 171. Let i be n(9). Suppose 14*x + 90 + 36 = i. Which is greater: 9 or x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 779\/7. Let w = -2.33104 - -1.83104. Which is the fourth biggest value? (a) p (b) w (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v + 82*v - 888 = 0. Find the second derivative of -80*y**4 + v*y**4 + 56*y + 0 + 0 wrt y.\nAnswer: 816*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4\/31 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(117) - 1*sqrt(117)) - sqrt(117))\/sqrt(9) + (sqrt(117) - 1*sqrt(117)*-6)\/sqrt(9))*-4.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*z + 108 = -169*z. Let o(u) = u**3 + 5*u**2 - 8*u - 8. Let x be o(-6). Solve -2*w - 4 - 1 = 3*i, 2*w - x*i + z = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 18. Let o(h) = h**3 - 2*h**2 - 3*h + 3. Let l be o(u). Let g be 960009\/l + (2 - -1). Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1177*n**2 + 136047 - 136047 + (-n**2 - 3*n**2 + 6*n**2)*(-3 + 6 - 2))*(2 + 2 - 6).\nAnswer: -2358*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 19*b**2 + 79*b + 16. Let p be v(15). Solve 0 = 8*x - 365 + p for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -163*m**3\/6 - 35*m**2 - 36*m + 1. What is the derivative of i(y) wrt y?\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z - 29 + 29)*(z - 4 + 4)*(3*z**2 + 5*z - 5*z - 6).\nAnswer: 81*z**4 - 162*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 75613*c**2 + c**4 + 75646*c**2 + 2 to t*c**4 + p*c + k + y*c**3 + o*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 13*q**2 + 13*q + 29. Give d(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:34 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320020 - -1013?\nAnswer: -313001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10690.923878 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(4*k - 3*k - 3*k) - 1102*k + 328*k - 1044*k - 125*k to the form n*k + j and give n.\nAnswer: -1947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973234.\nAnswer: 2, 486617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 2. Let c(f) = f**2 - 5*f - 6. Let a be c(6). Let j be l(a). Let h be (-4)\/(-2*j\/16). Is 15 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1283710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 6:26 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 15*k - h = -1065872, 4*k - 4263498 = -2*h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/60 + h**5\/20 - h**4\/8 - h**3\/3 + h**2 - 21*h. Factor c(x).\nAnswer: (x - 1)**2*(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**2 - 4*i**2 + 6*i**2 + (0 - 3 + 1)*(2 - 2 + i**2) + (-67 + 5*i + 67)*(i - 2*i - 7*i).\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*a - 43098 = -40542 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*o - 163*o + 660. Put -2, -1, o in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13028, 18994, 24960?\n\"Answer: 5966*y + 7062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8544545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*v = 702, 5*v = -o + 726 + 21. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 7*t**2 + 37*t + 460. Give v(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffv when four letters picked without replacement from {e: 1, f: 3, v: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4507, -4617, -4965, -5683, -6903, -8757?\nAnswer: -11377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w. Suppose -3*d + 2 = -i - 6*d, -3*i - 5*d = 10. Let r = i - -10. Let f(y) = r*y - 2*y - 4*y - 4*y. Determine 5*f(v) + 4*g(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -v - 1, -4*o + 5*v + 6 = 1. Suppose 0*r = -4*f + 4*r + 476, 5*f + 2*r - 602 = o. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16620, -33431, -50246, -67065, -83888, -100715, -117546?\nAnswer: -134381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 558 and 24?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 270, 268?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 15*a + 136*a - 151*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3368842157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.18 + 14.88. What is the closest to -11 in -4, s, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13600 and 9520?\nAnswer: 95200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 47*x**9\/168 - 1649*x**5\/60 - 1166*x**2 - 1. Find the third derivative of m(h) wrt h.\nAnswer: 16920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/f**(2\/35) assuming f is positive.\nAnswer: f**(-76\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 229, -1, 3 in ascending order.\nAnswer: -110, -1, 3, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -0.4 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3. Let d = -9 - -6. Which is the smallest value? (a) d (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 34*j + 88. Give v(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*r**3 - 419*r?\nAnswer: -576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604*t - 1604*t + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -4*c + 8, -4 = -4*c + 5*f. Solve q + c = -4*x, 4*x + 7 = 3*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2)\/2 - (21 + -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*(-25)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*z + 75, -5*z - 70 = -3*t + 153. Let s = -78 - -27. Let h = s + t. Solve -7*p = -3*p - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 17*k**2 + 23. What is the remainder when 183 is divided by z(17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227825208*o**5 + 19256*o**2 + 2924*o wrt o?\nAnswer: -13669512480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 59*i**2 + 59*i - 13. Is y(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-90)\/(-80) + (-2)\/16). Factor -1556*t**4 + 1561*t**4 - 180*t - 50*t**3 + 80 + 74*t**2 + 91*t**y - 20*t.\nAnswer: 5*(t - 4)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947.775 millimeters to micrometers.\nAnswer: 947775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 19 (c) 111 (d) 9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -82, -137, -202, -277, -362?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -l - 45. Let j be (-8)\/((-72)\/351) + (-2)\/l. Let w = 110 - j. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q + 25*q - 4*q + 27*q + 26*q + 31*q - 134*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 112 + 16 - 28 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-220887)\/(-63) + (-1)\/7. Let q = b - 2347. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -81. Let n = l - 42. Let d(m) = -m**2 + 2*m. Let q be d(3). Which is the closest to n? (a) 0 (b) 2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3798420 divided by -379842?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2700*g**4*n + 2*g**4 + 18*g**3*n + 3*g**3 - 1397*g**2*n - g - n + 2 wrt g.\nAnswer: -64800*g*n + 48*g + 108*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 244621, 978483, 2201587, 3913933?\n\"Answer: 244621*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 5*n + 8 - 4 = -2*o. Which is the fourth biggest value? (a) 0.2 (b) 2 (c) 1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 + 2*p**2 + 0*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*z + 110*z - 120. Solve -5*c = 3*x - 19 - 2, 3*c + 3*x = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvvvqvqqqvqqqqvv. Give prob of sequence vvq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2787.7*-1.1\nAnswer: 3066.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 23*i - v + 23 = 0, -4*i - 4*v = -44. Suppose 7 - 5 = -5*t - 4*g, 0 = -5*t + g - i. Sort -38, t, -1\/10 in increasing order.\nAnswer: -38, t, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 2) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2161, -2211, -2261, -2311, -2361, -2411?\nAnswer: -2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 531844257 a multiple of 10551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -1472 + 1469 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 - -3?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19563 + -19660. Let y = -94.5977936 + -2.4010764. Let o = t - y. Round o to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -35. Suppose -15*n + g*n = -4. Suppose s + n*s = 12*s. Are s and -3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -10555\nAnswer: -9499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 - 48\/(-5). Suppose 2*t - 14 = w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132719081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r + 3. Let d(i) = -155*i + 1242. Let w be d(8). Give x(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.4 (b) 123 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 9, 18*h = -4*v + 19*h + 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let f = 2601.9 - 2418. Let z = -184 + f. What is the closest to z in -2, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = -3*n, p + 2*p - 3*n = 30. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127511199 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.84, 1\/6, 5, 0.5?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17246 = -4*t + 3*k, 12*k - 13*k = -2. What is the greatest common divisor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224085622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 43 = -2815. Suppose -51*f - n = -57*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*k - 16, 5*k = 102*x - 106*x - 49 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - h**2 - 2*h**2 + 3*h**2 + 2*h**2 + h**2 - 2*h**2 - h**2 + h**2 + (h - 2*h + 0*h)*(2*h + 6*h - h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/7, 22, -1, 0, -2\/11, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -0.04, -1\/7, 1\/2, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-28) + -1 - (-4)\/8. What is the closest to 0.1 in d, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 88\/24) + 842\/3. Calculate the highest common divisor of f and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + -1)\/(6\/16). Let k be w\/40 + 142\/5. Calculate the highest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1329125, 2658231, 3987337, 5316443, 6645549, 7974655?\n\"Answer: 1329106*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d = 17*d - 38 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753993.9 centuries to decades.\nAnswer: 7539939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -263*c + 400. Solve 3*t + 3*w + 317 - 326 = 0, w - 1 = -c*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80))\/(-1*sqrt(8)\/sqrt(2)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o - 64*o + 13*o - 128 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddcdpddddddd. Give prob of sequence cdd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 607\/5?\nAnswer: 607\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*t - 322 = -34*t + 78*t. Sort 0, -33, t, -1 in ascending order.\nAnswer: -33, t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 585.6 - 582.618. Round c to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 14*l**2 + l + 24. Let m be i(15). Let w = m + 362. What is the greatest common divisor of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 1 - 1 + 3*k + 2*k - 4*k + (k + 3 - 3)*(-1 + 4 - 2) + 3*k - 2*k + 0*k - 2281 + 2281 + 132*k as g*k + h and give g.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6 + 5*m - m**2 - 3 + 3*m. Let p be j(7). Let x = p - -5. Solve -x = 2*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 12:23 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 = 6. Suppose -4*c + 8551 = 5*k - 2069, s*k = -2*c + 5308. Suppose -o - c = o. Round o to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17437, 34862, 52287, 69712, 87137?\n\"Answer: 17425*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**2\/8 + 26043*u\/8 + 4341\/4.\nAnswer: -3*(u - 2894)*(3*u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2706 by 33.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6414, 7678, 8922, 10140, 11326?\nAnswer: 12474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2\/2 + 2175*w\/2 - 3285 = 0. What is w?\nAnswer: -438, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177 and -20.91?\nAnswer: 3701.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 88, 2, -63, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 59 - (43 + -36 - (-4 - -1))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4*t - 2*o + 966, 3*t - 1453 = -2*o. Let q = t - 114. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 20 - 2. Factor -r*y**3 + 3*y + 6 - 7*y**2 + 3*y**3 + y**2.\nAnswer: -3*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850 - 750 + 790 = -126*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (179154\/(-64824) + (-6)\/(-8)).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 1941531 + 1941531.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2, -0.5, 34, 8282?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32632?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 + 6*o**2 + 3*o**2 - 12*o**2. Calculate h(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.620043 rounded to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303 + -10111?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 49 = -3*b, 3 = 3*b - 4*a - 1. Let x = 5 - b. Is ((-296)\/(-12))\/((-2)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 - 7*f - 7. Let z(p) = 2*p**2 - 5*p - 5. Let r(y) = -5*d(y) + 7*z(y). Let l(j) = -j**2. What is r(l(g))?\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7322884*i**5 + i**2 - 1135447*i?\nAnswer: 439373040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2348*s**3 + s**2 + 18*s - 27. What are the prime factors of z(2)?\nAnswer: 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 6*h**2 + 38*h + 123. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4047*h. Let b(q) = -21*q. Give b(o(m)).\nAnswer: -84987*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23570652641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14\/9 - -19\/18. Which is the nearest to -0.1? (a) 1\/4 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19 - 2 = -4*s, 2*q = -2*s + 2. Suppose 0 = m - 2*d - d - q, -3*d = -6. Suppose -m*y + 1719 = -1908. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -91.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 203 = -53. Let w be (-5)\/(q\/(-24)) - 2. Let r be 3*2\/4*-2. Which is the nearest to w? (a) -1\/7 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11970877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21338 - 6?\nAnswer: 21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720372.06 seconds to hours.\nAnswer: 200.10335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -9*v + 24, -3*n + 3*v = -39333. What are the prime factors of n?\nAnswer: 13, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -729 - -429. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -671, -4, 0, 6 in increasing order.\nAnswer: -671, -10, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 9*t - 5 = b + 5*t, 0 = -2*t - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*j - 20. Let q be (j\/(-3))\/((-2)\/(-78)). What is the second derivative of 4*g**4 - 8*g - 13*g**2 + q*g**2 wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 30 = 3*w - 2575, -5*w + 4327 = -4*k. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/2 + 303*n**2\/2 - 7497*n\/2 + 19845\/2 = 0. Calculate n.\nAnswer: 3, 35, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-24) + (-4703)\/(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -21*w - 16. Let l(f) = 4*f + 3. Determine -4*i(d) - 22*l(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8068 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4158\/357)\/(-18).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + (-4*sqrt(228) - sqrt(228) - sqrt(228)))*-6))\/sqrt(12) + 3.\nAnswer: 3 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52\/3 - -17. Which is the nearest to -5? (a) g (b) 0.5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2951*f - 5 + 0 + 2 - 4 - 2683*f as h + a*f and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -24*g**2 + 10*g. Let f(h) = -2*h**2. Let z(i) = -5*c(i) + 15*f(i). Find the second derivative of z(n) wrt n.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -12)*(-2)\/(-4). Solve 4*p - 7 = n*x - 2, -p = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -4. Let z be (-4)\/10 + (-2)\/(-5). Let x = 1341.86 - 1341.26. Which is the smallest value? (a) x (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(16)\/sqrt(4) + sqrt(4)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -619700.\nAnswer: -2478800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141131 (base 7) in base 12?\nAnswer: 13635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 1. Let k(t) = -t**2. Let y(w) = 2*g(w) + 9*k(w). Let b be y(-2). Let p be (4 + -4)\/(2\/2). Solve p*r + 8 = b*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48100 = -11*w - 39*w. Is w a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -32.6. Let v = u - 6. Let r be (1\/(-2))\/(3\/2). What is the biggest value in 2, r, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 99*t - 3. Let d(h) = -4*h - 1. Give a(l) - 4*d(l).\nAnswer: 115*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885336025.\nAnswer: 5, 75413441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7.6 (b) 4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-670)\/(-1275) - (-5369)\/(-11505)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2. Let i(l) = -642*l. Give p(i(s)).\nAnswer: -3709476*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**21*q)*q\/q**(-5\/4))\/((q*(q\/(q**(2\/3)\/q))\/q)\/q**21))**(15\/4) assuming q is positive.\nAnswer: q**(55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**9\/5040 + 3*t**8\/2240 + t**7\/280 + t**6\/240 - 3*t**4\/2 - 18*t. Let g(d) be the third derivative of x(d). Factor g(u).\nAnswer: 3*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42233329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 1 + ((sqrt(242) + 1)*-4 + sqrt(242) - sqrt(242)) + -1 + -2 + 0.\nAnswer: -44*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/7 + 17509 + (-2 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.149432ml?\nAnswer: 0.003149432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(231\/14)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 2, l: 2, j: 6}. Give prob of sequence ao.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 6*s + 0*s = 0. Suppose -3*b - 3*k + 808 = 2*b, s = 5*b - 2*k - 803. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 308*d + 311*d + 18 = 0, -6 = d. Solve y = 4*z - 9*z - 2*h - 11, -2*z + 5*h + 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(192) + 2)*4)**2 + -5*((-1 + sqrt(192))**2 + -3).\nAnswer: 12880*sqrt(3) + 77455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32934724 or -32934722?\nAnswer: -32934724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -10 + 69 + 2. Let w = m + -328\/5. What is the nearest to -0.1 in w, 0.52, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4720 - 4678. Solve -25*g - m = 58 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/15 and 101\/2295.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367160 to the power of 1\/2, to the nearest integer?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2194 - 1.3324. Let l = f + 1.17. Round l to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 723115681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/(sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: 1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1525024*w + 28975468. Calculate p(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2 - (-9 + 4)\/10. Suppose 4*k - r*w = 1152, 5*k = 3*w + 787 + 655. Let n = k - -300. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 47*f**2 - 65*f + 477. Is 21 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 3:34 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/174 and 79\/180 - (-9 + 41\/4).\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkfn when four letters picked without replacement from nknkfmjknkkhh?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686 - -991. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-1\/16)\/((m**(-1)\/m)\/(m*m**(2\/7)*m))*((m*m\/((m**9*m*m)\/m)*m)\/m**(6\/13))\/(m**(2\/5)*m**(-9)) assuming m is positive.\nAnswer: m**(59687\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2719 - 2719. Solve -25*z - 158 + 33 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 35*p - 7*p - 36*p + 6*p + 3 - p.\nAnswer: -71*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4611371 is divided by 2305610.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12933951 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 48 = -28. Let r be z\/22 - (-13)\/(-11). Let t be (r - -1 - -4) + 0. Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 527*f**3 + 68637*f**2 - 209615*f + 140450 = 0. Calculate f.\nAnswer: -265, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)*w)**17*(w*w*w**6*w)\/(w*w**(2\/37)) assuming w is positive.\nAnswer: w**(8348\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -2 + 4 - (-10146)\/57 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2 + 6, -9 = v + 5*z. Let p be (-175)\/(-1131) - (-6)\/(-117). Is p less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -1 + (5 - 6). Suppose -2 = h*x - 22. Suppose 3*k = x*v + 191, -v - 3*v = 3*k - 223. What is the remainder when k is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h**2 + 0*h + 1\/3*h**3 + 0 = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1244?\nAnswer: -3\/1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweesem. What is prob of sequence ws?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64867.\nAnswer: 11, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2584 and 47\/16.\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 16 = -25*p. Suppose g + p*g = -3*g. Which is smaller: g or 2\/127?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68550 (base 9) to base 3\nAnswer: 2022121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d + p - 2700002 = 0, -2*d + 1079992 = -4*p. What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2791831611 + -0.21.\nAnswer: -2791831611.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(225))\/(sqrt(24)\/(sqrt(800) - sqrt(8))))**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 276 (b) 16.1 (c) -3\/5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*j = -k - 6, -2*k + 1 = -3*j. Let q(x) = 3*x - 3. Let u(g) = -g**2 + 3*g - 3. Let w(p) = -5*q(p) + 6*u(p). Calculate w(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**3 + x**2 + 2 + 6*x**3 + 9*x**3 as a*x**3 + m*x + y + z*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 15. Is 134*(-1)\/2*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 6. Let y be m(-9). Suppose y + 1 = 2*a. Solve a*p + w - 4 = 0, 2*w + 11 = p - 2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:09 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b + 32 = 32. Solve s - 22*r + 24*r = 7, 2*s + 2*r - 10 = b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.809948 rounded to three decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*q + 10, q = -4*q + 3*k + 18. What is the remainder when q is divided by 3 - (30\/(-6) + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6525, 26117, 58785, 104535, 163373, 235305, 320337, 418475?\n\"Answer: t**3 + 6532*t**2 - 11*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/27)\/(x**(3\/8)\/x)*(x**(-12)\/x)\/x**(-1\/8))**(-16\/5) assuming x is positive.\nAnswer: x**(5308\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -97\/262564538?\nAnswer: 2100516304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 - 2*r - 8. What is p(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a = -77*a - 81*a + 3180. Solve 22 = -8*f + a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.2, 1.3 in ascending order.\nAnswer: -0.2, 1.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/4 - 20195\/(-70). Is 12 a factor of (-57)\/p - (-181)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 48*z**3.\nAnswer: -3*z**3*(z - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/5)\/((-1)\/(-5)). Let l = -6 - -8. Let q = 21191 + -21185. Solve l*k - y = q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(17 - 36 - 24)*(2*z**2 - 28*z**2 + 6*z**2).\nAnswer: 1720*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-6) - (-9)\/(-27))*1. Suppose -p + 2*p = z, -9 = j*p - 2*z. Which is the third smallest value? (a) p (b) 0.4 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 1695 + 2679 = 0. Which is greater: 85 or q?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(-832*c + 3035*c - 1570*c)*(2*c - 3*c + 3*c).\nAnswer: -1266*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjmmkmmw. What is prob of picking 2 m?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 5*w**2)*(1 + 4 - 4)*((-3 + 1 + 0)*(-4 + 3 + 0) + 313 + 75 - 66).\nAnswer: 1620*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4*(-6 - 2). Suppose 4*z + k = 21, 0 = z - 3*z - n*k + 12. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439568 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-18)*c*c**5*c assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.2 - -134.07. Let l = 0.13 + p. Is l >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y - 51*y**2 + 2 - 12*y**3 - 6*y + 48*y**2 + 22*y - 5 in the form o*y**3 + k*y + l + b*y**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/147 - (-26)\/(-42))\/(3\/(-27)). Solve -2*g - s = -6*s, -t*g = -4*s + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*v + 211 + 121 - 9*v + 25*v in the form m + u*v and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 339795206025 + 22.\nAnswer: 339795206047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)*z)**(-10) assuming z is positive.\nAnswer: z**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -469 and 0.0904.\nAnswer: -468.9096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101110001011101110010100 (base 2) to base 3\nAnswer: -211210002012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*q**4 + 149768*q**3 + 1482980*q**2?\nAnswer: 240*q + 898608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let z(r) = -20*r**2 + 166*r + 66*r + 17*r**2. Give z(m(q)).\nAnswer: -12*q**4 + 464*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -15, 32, 107, 216?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(28) - (sqrt(112)*-3)\/sqrt(4)) + -6*(sqrt(1008) + -2)*-2.\nAnswer: -24 + 186*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559278.\nAnswer: 2, 431, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 614*w**2\/9 + 3020*w\/9.\nAnswer: 2*w*(w - 302)*(w - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + 5 + sqrt(2057) + 1 + sqrt(2057))**2 + (sqrt(2057) + 0 - sqrt(2057))*-5*-1).\nAnswer: 1056*sqrt(17) + 33056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 110 = -2*o, -5*o - 3*u + 7*u + 275 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-4 - -103) - (-6 + (-54)\/(-9))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 393?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(1\/43)*s**(4\/3)*s*s**(-2\/13) assuming s is positive.\nAnswer: s**(3733\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -803 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 < -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - 9 - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 0*s + s)*(s**3 + s**2 - s**3 - s**3) to j*s**2 + u*s**4 + q*s + k + b*s**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let j(k) = 2*k. Suppose 0*g + 7 = g - 2*v, 2*g + 2*v + 4 = 0. Calculate g*j(p) - 3*s(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.1183 litres in millilitres?\nAnswer: 555118.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2\/55, 1, 0.2, -22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 1\/6 (b) 2 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -647\/3 (c) -21 (d) 689\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108651 + 161918.87?\nAnswer: 53267.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/15 (b) -346 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36341 (base 7) in base 5?\nAnswer: -300222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*o + 1792, -2*l - 3*o + 515 + 381 = 0. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 33 = 2*x. Suppose 258*t = 133*t - 168*t + 2930. Solve -1 = x*b - t*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16908.6 - -16910. What is the closest to -1\/10 in 0.1, m, 4, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4800724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 85*i + 0 + 0 = 89*i, a = 5*i - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 97*j + 66*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 + 7 = 0. Let y be 2\/8 - (-93)\/t. What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -21*s**2\/8 + 936225*s\/8 - 133743 = 0.\nAnswer: 8\/7, 44581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3127321 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125, 2672, 7407, 14732, 25049, 38760, 56267?\n\"Answer: 67*k**3 + 692*k**2 + 2*k - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 738, 1151, 1628, 2157, 2726?\nAnswer: 3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + 4*y**3 - 8*y - 4 + 0 + 2*y + 13*y. Let b(n) = -3*n**3 + 6*n**2 - 6*n + 3. Let s(u) = -5*b(u) - 4*j(u). What are the prime factors of s(-8)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:27 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/54? (a) -3\/13 (b) 6 (c) 1 (d) 4\/267\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -857*j**3 + 284*j**3 + 3*j**2 - 399*j**6 + 285*j**3 + 288*j**3 - 54*j wrt j?\nAnswer: -47880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -5681 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69023 and 1824608.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 847 + -847.00000347. Round b to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 26*r + 25. What is a(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.021 - 0.047. Let m = 0.026 + y. Sort m, 0.4, -4 in increasing order.\nAnswer: -4, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/6)\/((q**(-4\/7)\/q*q)\/q)*(q*q*q\/(q\/q**(-2\/9)*q)*q)**13*(q\/(q*q*q**(-1\/5)\/q))**(-4)\/(q**2\/q*q*q**(-7)) assuming q is positive.\nAnswer: q**(17671\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-12)*(-2)\/24. Let u = -66.6 - -75. Let m = u - 8.1. Which is the second biggest value? (a) m (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.477+135.8516409\nAnswer: 137.3286409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 18 + 35)*(2*f + 4*f - 5*f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.9565103 microseconds in weeks?\nAnswer: 0.00000000025125084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 196 = 131 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.242, -0.5, 5\/27, 23 in ascending order.\nAnswer: -0.5, -0.4, 5\/27, 0.242, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 37 + 37.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/6 - 21*l**5\/5 - 147*l**4\/4 - 343*l**3\/3 - 115. Factor b(q).\nAnswer: -q**2*(q + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v - x - 0*x, 3*v = -5*x + 11. Suppose -747 - 401 = -v*t. Calculate the smallest common multiple of 12 and t.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.02 - -0.02. Let q = -4 + 3.7. What is the closest to y in -0.1, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27077 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2\/9, -0.4, 333 in descending order.\nAnswer: 333, 2\/9, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5 - 11*a**2 + 11*a**2 + 5*a + 4*a**2 - a**3 + 2*a**2. What is the units digit of n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1 + -3 - sqrt(1872))*-4 + 0)**2*3 + 5.\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 513 - 518 = 0, q - 5*q + 45 = h for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/3 (c) -0.01571 (d) -5 (e) -3\/7 (f) -133 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -31*i. Let c(n) = 4 - 4 - n**2 - 2*n**2. What is l(c(o))?\nAnswer: 93*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 106*f + 10 = 0. Let l(s) = s**2 - s. Let j be l(f). Solve 2 = -j*q + 2*q, 3*q - 11 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-6)\/90*(-4 + 187\/22 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 8:52 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/1*111\/(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {t: 5, s: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -728*p - 20252. Let t be k(-28). Calculate the highest common factor of t and 28776.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/11, -0.03, -0.6, 0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707320?\nAnswer: 2, 5, 42683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(1\/3)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**2 - 44*q + 44*q + 1. Let z = 14 + -13. Determine o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 738*r**4 + 2*r**3 + 0*r**3 + 1467*r**4 - 736*r**4 + 20 - 2*r**2 in the form w*r + v*r**4 + g*r**2 + u + h*r**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhgmyhxywggg. Give prob of sequence hmh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1860274 or 1860262?\nAnswer: 1860262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -25437*f - 104. Is t(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 114. Suppose l - 12 = 2*l + 3*f, -x*l = f + 4. Sort -8, -1, l, -3 in descending order.\nAnswer: l, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*(-4)\/200*5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.052 in 14, 0.03, -2\/17, -3.4, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 74 = -4*n, -5*b = -9*b - n + 206. Solve 32*y = 7*y - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5777236497 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let i = 0 - -1. Let r(j) = 5*j + 1 + i - 2. Determine r(a(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w. Let b(m) = -15*m**2 + 42*m - 1. What is -b(j) + 5*k(j)?\nAnswer: 10*j**2 - 47*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d\/(d**(-2)*d))*d)\/d)\/d)\/d)**16)**(-44) assuming d is positive.\nAnswer: d**2112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 81*m**2 - 13*m - 18. Let q(b) = -41*b**2 + 6*b + 9. Determine -13*q(v) - 6*s(v).\nAnswer: 47*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18687.515 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(2)*3)\/(sqrt(16)\/(sqrt(8) - sqrt(128))) + 0 + 0.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = 3*x, 3*x - 2*v + 32 = 11. Suppose 0 = -3*t + 4*t - 2. Let p be (-2 - t)*3\/30. Which is the smallest value? (a) -2 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/1)\/(32 + -29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -44. What is the highest common divisor of 12 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/20)\/(10\/112)*(-11420)\/9136.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 40. Calculate u(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3\/2 - 20*a**2 - 40*a + 320 = 0. What is a?\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16 + -12 + 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r. Suppose -6*x + 5*g = -x - 40, 0 = 2*x + 3*g - 1. Suppose -1 = -t + 17*j - 12*j, -2*t - 3*j = -15. Let h(v) = -9*v. Calculate t*f(n) + x*h(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -154*a**3 + 5*a**2 + 4*a + 3. Let i be y(-1). Let g = i + -156. Solve -g = p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 10 - 23 + 10)*((x - 3 + 3)*(3 - 6 + 4) + x + x + 0*x + (-5 + 1 + 2)*(-5*x + 3*x + 0*x)).\nAnswer: 14*x**2 - 161*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*-2*12\/9. Suppose -y = -4*v - 0. What is the second derivative of -v*i + i - 3*i**4 + 2*i**4 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 4 (c) -1 (d) 0.0552 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvcc when four letters picked without replacement from ccvve?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 0*h + 6 + 5*h - h. Let j(w) = -5*w - 5. Suppose -o - 15 = -0*s - 4*s, 2*s = -3*o + 25. Calculate o*z(q) + 6*j(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -103.6 - -94. Let h = 4.1 + m. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 50 = -5*b, -7*b - 4 = -4*k - 2*b. Let h(z) = z**2 - 3*z + 1. Determine h(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2260 - 521?\nAnswer: 1a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*q + 30. Let f = -23 + q. Sort -3, -5, f in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*b - 100 = 0, 0 = -36*i + 39*i + 5*b - 112. Suppose -2*p = -4*o - 92, o = -6*p + p + 219. Is p less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-1 - -3)*-1). Suppose r = 3*q - 0*q - 75. Solve -2*s + 2*k = 20, -4*s - q = -2*s - 3*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178920072.\nAnswer: 2, 3, 2485001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*n**4 - n**3 - 41*n**2 + 2 wrt n.\nAnswer: 2520*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*z**4\/4 - 201465*z**3\/4 - 2329155*z**2\/2 - 6926040*z - 243000 = 0 for z.\nAnswer: -450, -12, -3\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 636.638 + 71.308. Let g = p + -708. What is the third smallest value in 1, 0, g, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942 + 86713.\nAnswer: 87655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/(-1))\/((-3)\/588*-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (2 + (-1 - 0)). Let x be (l - 0) + 2\/(-9). Suppose -3*w = 4*o - w + 14, 2*o - 2*w - 8 = 0. Is o greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-8 - (6 - 8)) + 6 - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -442, -2, -1, -4, 4 in descending order.\nAnswer: 4, -1, -2, -4, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105\/817 or 1?\nAnswer: 105\/817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 1, o: 2, y: 1, f: 2, h: 7}. What is prob of picking 1 h, 1 m, 1 o, and 1 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 6. Let t be f(11). Let m(c) = 148*c + 10. Let i be m(t). What are the prime factors of 1\/11*i + (-26)\/143?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/23 in -0.4, 2\/5, -77, 0, 3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4398 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-39) - -5*(-4)\/(-20)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i - 6*i - 12*i - 3*i in the form v*i + r and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/201 and -67\/9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 + 481 = -63*r + 309 - 1144 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4)\/(-1)*((-44)\/(-8) - 5). What is v in 1\/2*v**2 + f - 2*v = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 139.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 715 = -4*i + 1295 - 720, -3*x = x + i + 35 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*1*(-24)\/60*86. Let r = -339 - j. Solve -5*d + 5 = -r*w, 0 = -2*w + 4*d - 0 + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 44 = -x. Let s be (-1 + 285)\/(0\/(-1) - -2). Suppose s = 4*d - 342. Calculate the highest common factor of x and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d = -89*d + 71*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - t)*(-t**3 + 2*t**3 - 2*t**3)*(-3 - 3 + 7)*(1 - 2 + 2).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*s - 64*s + 182*s - 80*s + 214*s**2 + 11*s**2 to the form y*s + i*s**2 + o and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 12 in ascending order.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 397062 to the power of 1\/2, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 54 = 48 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 656+0.01\nAnswer: 656.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 16\/(-11))*(135\/(-18) - -7). Which is the nearest to j? (a) 0.05 (b) -0.5 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -0.03 (c) 365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62250.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.253 + 0.253. Let y be (1\/10)\/((-3)\/(-12)). Let b = -0.29 + -0.21. Sort y, 1, u, b in increasing order.\nAnswer: u, b, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 - 3275985*q**2 - 894344723976*q - 2683004688144 = 0.\nAnswer: -545996, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 26, 0 in decreasing order.\nAnswer: 26, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*h - 5 = 15, 4 = -g - h. Suppose -i - 4*i - 20 = g. Calculate the remainder when 4 is divided by 44\/33 - i\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*x + 39, 26*x = -3*u + 24*x - 8. What is the remainder when 684 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1980)*-1*4 - (sqrt(1980) - ((4*(sqrt(1980) - sqrt(1980)*-1) - sqrt(1980)) + sqrt(1980))))\/(-6*-3*1*sqrt(605)).\nAnswer: -5 + sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1219*i**5 - 5627*i?\nAnswer: -24380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c + 106. Let p be n(-17). What is the tens digit of 490\/p + 7\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 118.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1 - 5*n + 7*n**2 + 0*n + n**3 - 3*n**2. Let k be t(-5). Suppose -7 = -2*s + k. Solve 2*u - 33 = 5*x, 2*u = 7*u + s*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -5 (b) -3 (c) 5.2 (d) 0.3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8752630 to the power of 1\/2, to the nearest integer?\nAnswer: 2958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.2776994 to zero dps.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4*r - 1, 23 = -4*r + 5*x - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.45, -2\/3, 5, 369?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149543895 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 180*h**3 + 11*h**2 + 4*h - 48. Let w(g) = -359*g**3 - 19*g**2 - 7*g + 99. Let d(p) = -7*l(p) - 4*w(p). What is the third derivative of d(k) wrt k?\nAnswer: 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5436831000 rounded to the nearest one million?\nAnswer: 5437000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Suppose -2*g - 39*h + 44*h + 64 = 0, 7*h + 116 = 4*g. Let n(x) be the first derivative of x + 3\/2*x**2 - g. What is r(n(v))?\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158958.\nAnswer: 2, 3, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 12\/2 - (0 - 1). Suppose -2*u - 55 = y*g + 3*u, 3*g + 15 = 3*u. Let x(p) = 10*p**2 + 7*p - 31. Is x(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/48 + 97*d**4\/12 - d**2 + d + 11. Let f(s) be the third derivative of u(s). Let m(c) = 7*c**2. What is m(f(h))?\nAnswer: 1575*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -13, 5.\nAnswer: -13, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7247 is divided by 462.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 81 = h - 2*h, -4*i + 4*h - 100 = 0. Let m be ((-14)\/i)\/(18\/4). Sort -0.14, m, -0.4 in decreasing order.\nAnswer: m, -0.14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let q be l(0). Let c be 8\/((2\/q)\/(-2)). Which is smaller: c or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106637.207 rounded to the nearest 1000?\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhkydyybnyk. Give prob of picking 1 d and 2 k.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3844*n = -3845*n. Which is the closest to 104? (a) 0.04 (b) 2 (c) n (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1398305951 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3)\/z)\/z*z)\/(z**(-3\/8)*z))\/(z**1)**43 assuming z is positive.\nAnswer: z**(-381\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 37*y - 30*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**2 - 12. Let m(k) = -6*k**2 + 3*k + 7. Let v(j) = j + 4. Let f(n) = -m(n) + 4*v(n). Let z(c) = -4*f(c) - 3*g(c). Factor z(b).\nAnswer: -b*(3*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from yyyooyyyyyyyoyooyyy?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79.06 - 79. Let f = 13 - 13.7. Let o = f - -0.5. Sort o, n, -0.1 in ascending order.\nAnswer: o, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - -140. Suppose -262 = -4*f + b - 0*b, 3*b = 4*f - g. What is the lowest common multiple of f and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -236 in -4\/3, 0, -795, 0.07?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t. Let m be 1\/(-1 + t) + -1. What is the tens digit of 44*(m - (-15)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10559631 divided by 3519877?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4699*k**2 + 6 + 2 + 0 - 4694*k**2.\nAnswer: 5*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -76, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*o + 9, -4*j - 26 = -4*o + 2*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1408, 1411, 1412, 1411, 1408, 1403, 1396?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 3. Let s be l(-3). What is the third derivative of -s*c**3 - 4*c**2 - 5*c + 5*c + 0*c**3 wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3311\/246 + 5\/123. Let l = b - 245\/18. Let t = 2\/513 - -11795\/1026. Find the common denominator of t and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/9172523?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99 + -0.07?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101202 - 10?\nAnswer: 101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w. Let m(l) = -l**3 + 5*l. Suppose 3*u = 7*u + 24. Suppose -3*n - 23 = -37*o + 41*o, 4*o + 19 = n. Give o*p(j) + u*m(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 + 62. Find the common denominator of -11\/21 and o\/14 - 8352\/(-3402).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 128\/12 - (-1)\/3. Suppose 5*w - 20 = 4*n, -4*w + b = -5*n - 5. Let z be 3\/(-6)*12\/(-2). Sort z, n, 4 in ascending order.\nAnswer: n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-10)*5 + (-585)\/312 + 237\/312\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.6245791 milliseconds?\nAnswer: 0.00000072904975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*s = 40, 4*v + 2 + 3 = -5*s. Let x = -6 + v. Let z be 0\/x - 355\/5. What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-6) - (-165)\/90. Let u(c) = p*c - 15 - 641*c**3 + c**2 + 15 + 0*c. Let q be u(4). What is q rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 244.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*s = -2*s + 84, 4*s = 3*r - 119. Let j = 71 - r. Suppose 5*z - j = -4*m - 9, 2*z = -5*m + 22. Which is smaller: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-669)\/(-27) + 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2010307867 to the nearest integer?\nAnswer: 44836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 2:56 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*3 + -13 + 14. What is the closest to j in 0.03, 25, 3, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d3 (base 14) in base 6?\nAnswer: -23213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 428941759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 4*a**2 + 6*a**2. Let q(t) be the first derivative of -t**6\/180 - 4*t**3\/3 + 5. Let m(f) be the third derivative of q(f). What is m(c(b))?\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/4805469 and 31\/9441.\nAnswer: 4805469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38143, 38150, 38163, 38182, 38207, 38238, 38275?\n\"Answer: 3*h**2 - 2*h + 38142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-1170)\/(-168)) + -2 + 4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15914071 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 478655823, 957311648, 1435967473, 1914623298?\n\"Answer: 478655825*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**29)**(-3) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*s + 841*s - 3714*s - 1417*s.\nAnswer: -4218*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let l(i) = 2657*i - 44. Calculate l(p(s)).\nAnswer: -2657*s - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -13*f + 531. Suppose 3*n - 152 = q - 3*q, 0 = 3*n - 3*q - 177. Factor 1 + f*g**5 + 1 + 5*g - 10*g**2 - n*g**5 - 10*g**3 + 5*g**4 + 3.\nAnswer: 5*(g - 1)**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*a - 2*d, -2*d = 2*a + 4 - 20. Suppose 3*z - a = 24. Calculate the least common multiple of z and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(3\/4). Let o = 424 - 419. Sort 1, r, o in descending order.\nAnswer: o, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 4 + 69. Suppose 5*g - 9*g = 5*q - 13, 3*q + g - 12 = 0. Suppose z*h - 2160 = q*h. What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)\/sqrt(12) - sqrt(3))**2 + sqrt(3) - (sqrt(3) - (2 + sqrt(27)))**2 - ((sqrt(54)\/(sqrt(24)\/sqrt(4)) - sqrt(9) - sqrt(9)) + sqrt(9))\/sqrt(3)*1.\nAnswer: -7*sqrt(3) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 7. Let n be 21\/(-2)*2\/(-3). Give y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380009415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4323, -2 in decreasing order.\nAnswer: 20, -2, -4323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27544610 - 2?\nAnswer: 27544606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436 by -6.\nAnswer: 218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, -3, 59, 2 in descending order.\nAnswer: 59, 2, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 740963105 to the power of 1\/2, to the nearest integer?\nAnswer: 27221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s - 189. Let i(a) = -15*a + 242. Let d(u) = -7*i(u) - 9*t(u). Let n(w) = -w + 1. Calculate -d(m) + 4*n(m).\nAnswer: -10*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*l + 942 - 169 - 83. Suppose -3*i + 4 - 10 = 0, -2*i + 146 = 5*v. Calculate the greatest common factor of v and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -449, -1798, -4037, -7160, -11161, -16034?\n\"Answer: f**3 - 451*f**2 - 3*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d - 440 = -140*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, 2, 5, -1, -2 in ascending order.\nAnswer: -258, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -9 - (12 + (12 - -11))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(180) + 4)**2 + -5 - ((sqrt(50) + sqrt(50)*-4)\/sqrt(10) + -4 + sqrt(40)\/sqrt(8)).\nAnswer: -10*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(256*f - 32*f - 90*f) - 5*f**2 + f**2 + 2*f**2.\nAnswer: -270*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*n**4 - 2*a*n**3 + 20*a - 103*n**3 + n - 2 wrt n?\nAnswer: 12*a*n**2 - 12*a*n - 618*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266528579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h + 32*h - 80*h + 31*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6918*k - 3000 = 6978*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 176445 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*l + 343, 4*l = w + 2*l - 67. Suppose -s = 2*s - w. Let r = 28060 + -27876. What is the highest common factor of s and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-275)*5\/2. Sort y, 1\/4, 1 in ascending order.\nAnswer: y, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68441 + d**3 - 3*d - 137050 + 3*d + 68609.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 29.1. What is the nearest to -0.2 in p, 3\/5, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56834 and 96398.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(2 - -4 - (7 + (-7040)\/7028))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 3*p - 13*p**2. Let r(d) = -34 + 34 + 6*d**2. Suppose 3*x = 4*x + 3*f - 21, -5*f = -x - 11. Calculate x*r(i) + 4*h(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 7*j**2 - 2*j. Let o be 3 + 10\/15*3. Let t be y(o). What is the greatest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 93 + 52. Suppose 8*s + 5 - p = 0. Suppose -5*h - s + 13 = 0. Solve j = 3*j - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**45)**(1\/43))**(-40) assuming s is positive.\nAnswer: s**(-1800\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 18*y - 6*y to r*y + q and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 4\/(20\/95). Let u = 36 - i. What is the greatest common factor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-1972)\/348) + (-159)\/170?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 350, 363, 430, 581, 846, 1255, 1838, 2625?\n\"Answer: 5*k**3 - 3*k**2 - 13*k + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(30) + (sqrt(30) - sqrt(120)\/sqrt(4))) + sqrt(3000) + 1*sqrt(3000) - ((sqrt(1080) - 1*sqrt(1080)) + sqrt(1080))*2)\/(-4*-2*sqrt(160)*4*-5).\nAnswer: -9*sqrt(3)\/640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 8*y + 10*y = 120*h - 22, 0 = -4*y - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b. Let n be k(3). Suppose -g - 125 = -n*g. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nli when three letters picked without replacement from {x: 2, l: 1, k: 3, i: 1, n: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 + 245*v - 245*v)*(4 - 4 + 2*v)*((-v + 3*v + 0*v)*(2 + 1 - 5) + 0*v + 2*v + v) to n*v**2 + o*v**3 + m*v + u*v**4 + f and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102.7 - -102.5395. What is d rounded to three dps?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -7*z - 750. Let p = -354 - z. What is the hundreds digit of 12\/(-4)*(-4)\/((-36)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**2 + 5*r**2 + 23*r**5 - 29*r**5 wrt r?\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/8, -5\/3, 3.54, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 22379*n - 11. Give k(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1872)*6 - (0 + (sqrt(1872) - (-1 + sqrt(1872))))**2.\nAnswer: -1 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/15))**(-3\/11) assuming o is positive.\nAnswer: o**(-2\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65))\/sqrt(5) + -3 + ((1*sqrt(130) + sqrt(130))\/sqrt(10) - sqrt(13)*-2*4).\nAnswer: -3 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 12 + 3*f**4 - 13 - 3*f**3 + 5*f**3 - 14 - 2*f**2 as y + j*f**4 + p*f**2 + m*f**3 + x*f and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-7)\/((-63)\/(-12)). Suppose -v*m - 20 = 0, -5*o + 23 = 2*m - 147. Suppose 8*i = -i + o. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 27. Let a be w(9). Let c = -6 + 36. Calculate the greatest common factor of a and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {r: 8, p: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 13*w - 3. Suppose -6*s + 40 = 2*n - 2*s, -4*s + 60 = 4*n. Let u be j(n). Let c = 32 - u. Solve -16 = c*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*m + 4606 = 348*m + 302*m for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrar when four letters picked without replacement from assrrzasaanrrrsa?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -720065.3 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-126)*-8 + 36\/126. What is the third biggest value in 0.014, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356110?\nAnswer: 2, 5, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m - 18. Let s be m*(-10)\/(-45)*-3. Put s, -21, 0 in descending order.\nAnswer: s, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2800000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.156 times 1?\nAnswer: 690.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -9, -1, -18, 4, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 + 3*k + 3. Suppose 0*y - 5*y = 25, -4*x - 85 = 5*y. Let t = x - -13. Let i be u(t). Solve -4*r - 1 = -i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6399*f - 16*u = 6403*f + 244, 0 = -5*f + u - 284 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from llldhqulhllulquhlhl?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-2)\/(4\/18)*2382\/(-10719).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d - 3*d + 2*d)*(2*d + d - 2*d) - 4*d**2 - 10*d + 10*d)*(-5 - 1 + 3).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*j*o**3 + 3*j*o + 10221*j + 698*o**3 - o**2 wrt o?\nAnswer: 504*j*o + 4188*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -659 + 615. What is the remainder when 180 is divided by 99\/j*(-132)\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104, -400, -696?\n\"Answer: -296*h + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132820336 and 6688?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 26 + 48)*(-z + 12 - 14 - z).\nAnswer: -284*z - 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 16. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/966823 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/77 and (-4 + 2100\/198)*(-6)\/(-40).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 796385811 and 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/33399?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 2*w - w, 0 = 5*h + 4*w - 35. Suppose 4*r - 45 = 5*l, 2*l + 18 = 2*r - 2*l. Is 11 a factor of 44\/10*r\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9964*k**2 - 423*k. Let g(w) = -94*w**2 - 4*w. What is 423*g(r) - 4*i(r)?\nAnswer: 94*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 205 = -5*s, 4*x = 3*s - 6*s - 129. What is the common denominator of (588\/(-8) - -3)*6\/x and 29\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -2\/9 (c) 25 (d) -0.0584 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 >= -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 31*d**4\/12 - 11*d**2\/2 + 15*d + 32. Let k(z) be the first derivative of l(z). Differentiate k(h) with respect to h.\nAnswer: 62*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00906519461 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t + 4. Let g(z) = -3*z**2 + 224005*z. Give g(f(l)).\nAnswer: -300*l**2 - 2239810*l + 895972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/7 - 70*s**3 - 974*s**2\/7 - 486*s\/7 = 0.\nAnswer: -243, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2 - -9)*-1. Let d be (-82)\/o - 4\/16. Let u = -1 + d. What is the remainder when 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33838 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.68659559 rounded to 3 dps?\nAnswer: -26.687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-5)\/(-2))\/(28\/6832). Let o = -606 - z. Suppose -1\/2*k + k**3 - 1\/2*k**5 - 1\/6*k**o - 1\/6 + 1\/3*k**2 = 0. What is k?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(19 - 45*l - 19)*(-2 + 2 + 2)*(3*l**2 + 30 - 5*l**2 - 98).\nAnswer: -180*l**3 - 6120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*(((-168)\/(-12))\/(-2) + 13). Let q(o) = 5*o + 39. Let f(h) = 9*h + 78. Calculate d*f(u) + 5*q(u).\nAnswer: -2*u - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 503.\nAnswer: -100.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2843936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(2*3\/18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-19 - -13) + (-3 - -4 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p - 4*p + 24*p)*(-p + 1 - 1)*(3 + 3*p - 3).\nAnswer: -108*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171 or 144700\/849?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/(0 - -14)). Let u be k*-2*4\/(-28). Suppose 14 = 3*l - u*o, -l + 16 = 3*l - 4*o. Calculate the least common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + 0.5. Let f = 7 - 7. Let l = j + f. Put 0.1, 5, l in decreasing order.\nAnswer: 5, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + t + 28 - 13 - 14.\nAnswer: -22*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13351309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3148 = 28*k + 2924. Which is greater: k or 151\/16?\nAnswer: 151\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 15. Let m = 28 + f. Determine j, given that 3\/2*j**2 - 9\/2*j**m + 0 - 3*j + 6*j**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10342251 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 + 7 + 7*s**3 + 0*s**2 + s**4 - s**2 to o*s**2 + x*s + d + q*s**4 + t*s**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 28. Are x and -31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 0*d + 21. Suppose -74 = -d*j - 13*u + 8*u, 0 = 4*j + u - 93. Calculate the remainder when 61 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + -6 - -4 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17278 is divided by 8447.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -250 - -12013?\nAnswer: 11653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240.9 + -221. Let o = r + -19.6. Which is the second biggest value? (a) o (b) 0 (c) 4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 - -98. What are the prime factors of (y\/(-2))\/((-22)\/50556)?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*d - 248 = -47 + 153 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 30*b**2 - 70*b + 383. Give d(-33).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*m**2 - 997*m**2 - 997*m**2 + 2981*m**2 + 323 as d*m**2 + u + c*m and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Do -930 and -942 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/3))\/(i\/(i**(1\/9)\/i))*(i*i**(-21\/2)\/i)\/(i\/(i*i**(-2)\/i)*i))**26 assuming i is positive.\nAnswer: i**(-3523\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 1, k: 1, q: 1, r: 4}. What is prob of picking 1 l and 3 r?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + -225?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 smaller than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5136199*b**2*p - 4252*b*p - 32*b + 2*p wrt b?\nAnswer: -10272398*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10774309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b - 9*b. Which is smaller: b or -6\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 138. What is the third derivative of -125*z**2 + 16*z**5 - d*z**5 + 2*z**3 + 0*z**3 - 18*z**5 wrt z?\nAnswer: -420*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13*p + 4 - 1 as q + x*p and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let z(l) = 855065*l**2. Determine z(v(u)).\nAnswer: 3420260*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -124\/3, -45\/13, -39?\nAnswer: -45\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 37 = 3*d - 131, -5*l + 382 = -2*d. Find the second derivative of -2*p**5 - 155 + 30*p**4 + l + 55*p + 77 wrt p.\nAnswer: -40*p**3 + 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, n: 1, p: 2, g: 1}. What is prob of sequence pw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4774 + -4713. Let l(u) = 13*u**2 - u + 5. Let y be l(-5). Suppose -18*h + y + i = 0. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.29 (b) -19 (c) -0.5 (d) -2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)\/(2\/(-12)). Let b(c) = 2*c**2 + 8*c - 3*c**2 - a + 0*c**2. Is b(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 2, 3*a + 2*i = 31. Suppose a = 3*d - 30. What is the highest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210002 - -102?\nAnswer: 11210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098870175 to four decimal places.\nAnswer: -0.0989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1 + (3 - 7 + 3)*(0 - 4 + 2))*(4*m - 3*m - 2*m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 110 = 4*f. Solve -j = 3*b + 11 + 2, -j + f = -3*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4\/6*15\/(-20)*-10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2 + sqrt(220))\/sqrt(11))\/(-6*1*sqrt(4)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 547, 4, -1, 1.\nAnswer: -1, 1, 4, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*l - 9. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*b = -1 + 9, z - 4 = -3*b. Let q = -84 - -4. Let a = 84 + q. Calculate the remainder when z is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8566453?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (4 - -2) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583 divided by -8.\nAnswer: 583\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(7) + 0 + -2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 5*r**2 + 2*r. Let q be t(-3). Suppose -q = -5*w + 2*w. What is the second smallest value in 0.5, -0.1, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.19, -0.2, 2\/9, -113\/4, 3\/2, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14911 - -17839. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*i + 7 = t, -4*t = 4*i + 36. Let l(k) = k**3 + 4*k**2 + k + 1. What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, -593, 0.1, 6, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.9. Let u be 320\/6 + (-8)\/(-12). Let t = u + -217\/4. Which is the smallest value? (a) t (b) -5\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (8 - ((-5 - -5) + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7801 + -7801. Let v = -13 - -19. What is the second smallest value in c, -1, -5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/((-12922)\/56)*(-39)\/246?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 2*f**2 - 4*f**2)*(-81*f - 33*f - 2 + 32*f).\nAnswer: -164*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-63)*14\/2. Find the first derivative of 3 - 4 + z*j**4 + 0 wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169\/99 - 17\/9. Let q = -3 + 4. Is f less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 8. Suppose 10 = -t*w + 7*w. Suppose -x = w*s - 5, -5*x = -5*s + 3*s - 49. What is the remainder when 26 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2209 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 3*g**2 - 2*g - 6. Let k be q(3). Let d = k + 77. Does 8 divide (2 - -3) + -3 + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - l - 2*l. Let i(n) = 4*n - 5. Let d(g) = g**2 - 5*g + 5. Let q be d(5). Let r(t) = 5*t - 6. Let s(a) = q*r(a) - 6*i(a). What is j(s(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 476.9 + -530. Let c = 56 + v. What is c rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9984 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 x = -4376\/27 + 162. Which is greater: -2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = -4*k + 21, 2*k + 2 = -2*t. Suppose -n = k*n - 1305. Let y = n - 128. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 5, y: 2, h: 1, u: 1}. Give prob of sequence yvhy.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1422 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 - 67*y + 631. Calculate h(-19).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-40)\/12 + 3). Let t = 16\/5 - k. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18551089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354951755?\nAnswer: 5, 17, 23, 47, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60830420.5956 - -0.15?\nAnswer: 60830420.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2199528 by -16173.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1641449?\nAnswer: -8207245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 65. Suppose -r = -j - j. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3364*b - 180475 = 169381 for b.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 4*y**4 - 4*y)*(1 + 701*y - 382*y - 434*y - 3).\nAnswer: -460*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 42*a - 28. Let f be l(3). Let y = f - 95. Which is smaller: -1\/4 or y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -185, -72, 135, 430, 807?\n\"Answer: -w**3 + 53*w**2 - 39*w - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.7833m in millimeters?\nAnswer: 926783.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2316, 9218, 20694, 36744, 57368, 82566?\n\"Answer: 2287*q**2 + 41*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(-2\/21)\/h)))\/h**(1\/4))**(-34))**(10\/13) assuming h is positive.\nAnswer: h**(9605\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699575819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpwwplplppl. What is prob of sequence wlw?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 12*b + 12. Suppose 5*j = 3*d - 45, 0*j - b*d + 8 = 2*j. Let i be (-28)\/j - (-8)\/(-12). Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4*x + 4*f - 7 = 0, -4*x + 16 = f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 0.15. Which is the closest to d? (a) 2\/7 (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from dsgggmsgc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 315 - 5*g - 316. Let v(a) = -15*a - 2. Calculate -5*t(x) + 2*v(x).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -2*f**2 + 0*f**3 + 1\/240*f**5 - 1\/840*f**7 + 0*f**4 + 0 + 0*f + 0*f**6. Solve l(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 20*h**3\/3 + 49*h**2 - 426*h. Find the first derivative of q(b) wrt b.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*a + 632 = 0, 2*t = -0*t + 4*a + 626. Let d = t + -165. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 23. Let z be b(11). Let c be 2*(-3)\/z*-2. Let p(l) = -16*l**2 - l. Determine p(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*(m*m**(1\/3))\/m)\/(m**(-1\/2))**(27\/7)*(m**(-1))**(-21\/4)*(m\/(m**2\/m))**(-26) assuming m is positive.\nAnswer: m**(617\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1247, 2425, 3607, 4793?\nAnswer: 5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3 - 126*o - 168*o - 47*o. Suppose k + 17 = -3*d - 0*k, 4*d + 6 = 2*k. Is s(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 188532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25*o**3 + 11*o**2 + 11*o - 11. Let z(f) = 5*f**3 + 2*f**2 + 2*f - 2. Let h be 7\/(-4) + (-37)\/148. What is h*i(a) + 11*z(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*w - 44 = -118*w. Let o(y) be the third derivative of 1\/80*y**5 + 1\/480*y**6 + 5*y**2 + 0*y + 1\/48*y**w + 0 + 0*y**3. Solve o(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 28*n**4\/9 - 334*n**3\/9 + 440*n**2\/3 - 1696*n\/9 - 128\/9 = 0.\nAnswer: -1\/14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 2. Let b(v) = -v**3 - 5*v**2 - 3*v + 4. Let w be b(-4). Determine r(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48403 is divided by 2547.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*168\/1890.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -271 + 527 + 470*s - 253 as z + l*s and give l.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 237401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38027442.6ms in weeks?\nAnswer: 0.0628760625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096 divided by 6?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + l = 65 - 70, -9*l = 3*r - 8*l + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Suppose 0 = -i + 5*n + 12 - 0, -3*i - 3*n = 0. Let w be ((-6)\/d)\/(i - 4). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 4289 + 4149. Solve 3*x = 17 - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + (1 - (-74)\/14). Suppose 37 = p*f - 47. Let v(c) = -c**2 - c + 4. Calculate the lowest common multiple of v(0) and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -100?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + 0*t - t + 0*t + 0*t - t - t + t + (-4 - 2*t + 4)*(0 + 1 - 3) + 4*t + 4*t - 6*t + 3*t - 4*t + 3*t)*(-2*t + 0*t + 9*t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 - -2*(6 + 44077) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110202624 divided by -63\nAnswer: -1749248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 106879221.26 to the nearest 100000.\nAnswer: 106900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3531\/4, 2, -4, -1\/29 in ascending order.\nAnswer: -3531\/4, -4, -1\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4. Let d(w) = 119*w**2 - 3*w + 20. Let z(k) = d(k) + 5*s(k). Let x(b) = -5*b**2. Calculate z(x(u)).\nAnswer: 2975*u**4 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17247166, -34494317, -51741468?\nAnswer: -68988619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 1. Solve -k*d**2 - 3*d**2 + d**4 - 2*d**2 + 6*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 146, 413, 930, 1781, 3050, 4821, 7178?\n\"Answer: 14*q**3 - q**2 + 6*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3*1\/(-9)). Let f be -3 - (-348 - (6 + r)). Suppose -3*o = -3*h + 261, 0 = 4*h + 6*o - 2*o - f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/6 - 145*f. Let m(r) = -98*r. Calculate m(y(v)).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306) + (sqrt(306) - (sqrt(306) - 3*sqrt(306))) + 5*sqrt(136))\/((sqrt(72) + (sqrt(72) + -2*sqrt(72) - sqrt(72)))*4 - -3*sqrt(72)*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 2*z. Let d = -2 - z. Let m = 6 + d. Solve w + m*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12060451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 5620 = -571. What is the smallest common multiple of c and 2?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 3*b. Let r(f) = b + 0 + f. Let d(z) = -7*z + 7*z + 6*z. What is r(d(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 87 (b) 6\/7 (c) -0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410219.\nAnswer: 37, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.426 + -0.074. Let x = -0.5 - -0.5. What is the second biggest value in 2\/27, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 8*p**2 + (-2 + 2 - 1)*(2*p**2 - 2*p**2 + p**2) - 4*p**2 - p**2 + 7*p**2 + (-4*p + 0*p + 2*p)*(-13*p + 4*p + 0*p).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78879.\nAnswer: 3, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/12 + (-14)\/8. Let j(f) = 2*f**3 + 3*f**2 - f - 2. Let m be j(s). Let d(q) = q**3 - 4*q**2 + q + 3. Let w be d(3). Sort m, 2, w in ascending order.\nAnswer: m, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224 - -220. Let f = -2.5 - -0.5. Let r = -2.1 - f. What is the second smallest value in a, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12324*l**3 - 4584532*l**2 + 426362592*l - 138384 = 0. Calculate l.\nAnswer: 1\/3081, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*c - 3 = 0, -2*p + 27 = -4*c + 1. Solve 6*s - p*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1613080687 to the nearest integer?\nAnswer: 40163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6037*a + 55381 = 122355 + 59803 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1202508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 266*o + 118*o + 3790 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (1 - -4) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/8)*p**0\/p*p*p**(1\/4)\/p**6*(p**(-2\/7))**(-28)*p**6\/(p**(-4\/7)*p*p) assuming p is positive.\nAnswer: p**(389\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -18, -35 in descending order.\nAnswer: -3, -4, -18, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 200226\/272 - (-3)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1206119*z + 1206114. Calculate d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*t**4 + 177*t**4 - 2*t - t**3 + 5 - 331*t**4 - 40*t**2 in the form g + d*t**4 + p*t**3 + c*t**2 + v*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-4) + 4\/2. Suppose 4*z - 3*w = -w + 10, 2*z + 4 = 4*w. Let y = k + z. What is the highest common divisor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:22 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111 + 1200?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*22\/33000*5?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2\/2 + 1. Let j = -203 - -205. Let a(x) = 0*x + 2*x - j*x - x. Calculate a(y(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**8\/8 + 3*w**4\/4 + 10*w. Find the third derivative of s(a) wrt a.\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*w + 9*w. Calculate the smallest common multiple of w and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*u - 20 = 0, 0 = -5*s - 1763*u + 1762*u - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3121 - 27657.\nAnswer: -27657.3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14032541 at least -14032540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 2405, 16, 3, -4, -3 in increasing order.\nAnswer: -5, -4, -3, -1, 3, 16, 2405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2748637000 rounded to the nearest one million?\nAnswer: -2749000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 3*m**2 + 19*m - 4. Let i(a) = a**3 + 11*a - 1. Let v(f) = 2*i(f) - z(f). Calculate v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j + 2*j)*(4 + 11 - 84).\nAnswer: -138*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 2*w + 9 + 14*w - 7.\nAnswer: 21*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 25 + 57 + 12 + -68?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -8*k + 4 - 11\/2*k**2. What is the derivative of c(i) wrt i?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-14*p**3 - 14*p**3 + 5*p**3)*(-3 + 5 - 4)*(3 + 0 - 2).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*6 - sqrt(99) - -4*-4*sqrt(99))\/((sqrt(9) - sqrt(36)\/sqrt(256)) + sqrt(9) - (sqrt(9) - sqrt(576)*4))*-1.\nAnswer: 88*sqrt(11)\/263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + ((6 - (1 - 3)) + -2 - (-126 - -120)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 1, e: 6, g: 3, b: 9}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2754 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 58, 36, -30, -152, -342?\n\"Answer: -2*u**3 - 4*u**2 + 36*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-14)\/(l**(-2\/5)*l)**(1\/42))**33 assuming l is positive.\nAnswer: l**(12903\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/6142320 and 71\/96984?\nAnswer: 18426960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1811088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2289687819 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-36)*-1 + 1922\/18 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -5*y**8\/42 + y**6\/40 - y**5\/60 - 4*y**2 + 72*y. What is the third derivative of h(r) wrt r?\nAnswer: -2400*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12000210 + 10?\nAnswer: 12000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 8*g**2 + g + 8. Let t be r(-8). Are -5\/4 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -24. Let f(t) = -12*t + 0*t - t - 2 + 7*t + 7*t. Determine f(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + (206 - 216)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32448 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l. Let i be -13 + 11 - (-1 + 0). Let t be (3\/i)\/(-3) - (-6)\/(-3). Determine p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136403463.\nAnswer: 3, 7, 2339, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 10*n**2 - 7*n - 9. Let h be t(9). Let u be 147\/h - (-2)\/(-6). Suppose -i + u = 3*i. Solve 2*f = 2*k + 3*f, -2*f = -i*k - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000456582 rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 - 55*u**2 - u + 147. Let f be o(0). Calculate the greatest common factor of f and 798.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70540\/13 + -5426. What is the closest to -2\/7 in b, -2\/3, 8\/9, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00056799763 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 + 7 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(1\/((3 + -5)\/2)). Let n be (44\/(-28) - -2)*8\/12. Factor 2\/7*f**d - n*f + 0.\nAnswer: 2*f*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9565 + 172285\/18. Calculate the common denominator of a and -53\/624.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)*-2 + -4. Put -5, a, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-914931\nAnswer: 91493.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21488, -85931, -193334, -343697, -537020?\n\"Answer: -21480*i**2 - 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.9 - 240.3. What is the biggest value in 1, 0.4, 1\/7, q, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8971, -73014, -247065, -586198, -1145487?\n\"Answer: -9179*p**3 + 70*p**2 + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660381 is divided by 11611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2130 and 1689930.\nAnswer: 119985030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.078 (b) 0.4 (c) 4 (d) 0.11 (e) 5\/2 (f) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27339037 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3521 and 6104.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 247276 - 247276.8798368. Let v = q + 0.88. What is v rounded to 6 dps?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(76) + 2 + 1)**2 + -5 + 1 + 2*sqrt(76) + (sqrt(76) + -1 + sqrt(76) + 3)**2).\nAnswer: -1556 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 43286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104183 smaller than 729277\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21)*9639\/2268.\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6012, -12027, -18044, -24063, -30084?\nAnswer: -36107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115021499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/5 - 156*z\/5 - 296\/5.\nAnswer: -4*(z + 2)*(z + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5120 by 512.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 73*s - 1093. Give x(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddadffdfddddd. Give prob of sequence ddf.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = 4*z - 23*l - 44, 16 = -4*l. Let p be (-28 - (z - 15)) + 8. What is the nearest to p in 1, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 0*g)*(98*g - 61*g - 62*g).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -403453250 (base 6) in base 11?\nAnswer: -3990708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 + 881571.\nAnswer: 881446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 297, 728, 1347, 2160?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:52 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/3 + 17*i**2\/2 + 5*i. Let n be u(7). Solve -7*s + n*s - 4*o = 4, 0 = 4*o + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 4*n + 17, 0 = -5*n + 25. Suppose 0*r = -o*r + 6. Let j(f) = f - f + r*f. Let k(u) = -2*u. Calculate k(j(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(136) + -1*sqrt(136)*-4)\/(sqrt(40)\/(-1*sqrt(605) + sqrt(605) + sqrt(5))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5 - 16*x**3 + 4*x + 1 + 0*x**2 - 6*x**2 + 14*x**3. Let a be f(-6). Let c = a + -100. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 103 - 103. Let i(q) = -2*q + 3*q - 3*q - 4*q. What is x(i(y))?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - (1 - 2)) - (-35 - -35).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 0*u)*((-2*u + 0 + 0)*(5*u**3 - 3*u**3 - 3*u**3) - 4*u - u**4 + 4*u - 24 + 14*u**4 + 27 - 53*u**2 + 51*u**2).\nAnswer: -30*u**5 + 4*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01117*-0.652.\nAnswer: 0.00728284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 2*m**2 - 3*m**3 - 3*m + 2*m to the form y*m**2 + l*m**3 + z*m + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13781446 - -6?\nAnswer: 13781453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1552*a**3 + 11*a - 169344 with respect to a.\nAnswer: -4656*a**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -302233 (base 6) to base 15\nAnswer: -7103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z. Let m(h) = -8*h + 456. Let o be m(57). Let g(q) be the second derivative of 6*q + 0 + o*q**2 - 1\/6*q**3. Determine g(r(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -67.97. Let b = l + -0.43. Let y = -641\/7 + 92. Put y, b, -1 in decreasing order.\nAnswer: y, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 - -161 - (14 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*x + 11 - 31 = 0, 15 = s - 3*x. Suppose 36*n - 41*n + 50 = s. Find the second derivative of -n*u + 9*u + 4*u**2 + 6*u**2 - u wrt u.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21906282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -6 (b) 2\/11 (c) 0 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42956.\nAnswer: 2, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/9, -0.1, -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) - (3*3 - 1250\/150)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 3693*w**4 + 904482*w**3 - 149063682*w**2 + 291721947*w + 441686421 = 0.\nAnswer: -671, -1, 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 89 = -49*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 20. Suppose 0 = -f*d + 8 + 7. Suppose 3*g = -4*h + 307, g = d*h - 6*h + 109. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + -7 - (3 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6752*g**3*i**2 - 3*g**3*i + 2*g**3 + 15995*g**2*i**2 - 7*g**2*i - 2*g + 32 wrt g.\nAnswer: -40512*i**2 - 18*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 9) to base 6.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10224*w - 468 = -10198*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1911)\/(-15) + 129\/215 is divided by 85?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**4 + 30*u**3 - 4*u**2 + 31*u - 5. Let l(y) = -y**3 - y**2 - 1. Let a(o) = -4*l(o) + q(o). Find the second derivative of a(c) wrt c.\nAnswer: -12*c**2 + 204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4977502 rounded to three dps?\nAnswer: -0.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516410, 516409, 516408, 516407, 516406, 516405?\nAnswer: 516404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*l + 234*q - 233*q, -q - 8 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w. Let z be (w - -324)*75\/(-45). Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 32*r - 23. Suppose -307*z = 4*k - 312*z - 5, 0 = 4*k + 2*z - 54. Calculate i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.017206936 + 1.0172. What is b rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -66*(-6)\/180*46. Is t at least -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and (-1350)\/250*(-1 - (-26)\/16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 76*g + 32 = -73*g, 4*r = 4*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4152)\/(-6920)*75\/6\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-249)\/27 - (-16 + 7). Which is the nearest to 1\/4? (a) -5 (b) 5 (c) -0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 3. Calculate the common denominator of -13\/8 and (333\/6)\/q + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s + 4*q - 29, -q = -2*s + 1. Let c(p) = -p**3 + 10*p**2 - 9*p + 7. Calculate the remainder when (-275)\/(-20) + s\/(-4) is divided by c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 0 = f*h + h - 15. Suppose -5*q - m + 223 = 0, q + 170 = 5*q + 5*m. Calculate the highest common divisor of q and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1 - 4 + 4 - d**2. Suppose -3*x = 100*v - 95*v + 29, 17 = 5*x - v. Determine r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t + 3. Let n be f(3). Let d = n - 8. Let v be 2 + 1\/(d - -3). Solve 0 = 5*r + 4*y - v, -3*r + 2 - 7 = -y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-1))\/(3\/24) + 4. Find the common denominator of -101\/36 and v\/96*94\/(-12).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:38 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-717)\/956 + 164\/560 - 2\/5.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135884443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**4 + 0*x**5 - 14*x**2 + 5\/336*x**8 + 0*x - 1\/21*x**7 + 0 + 0*x**3 + 1\/24*x**6. Factor g(z).\nAnswer: 5*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.250153 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(80)\/sqrt(32) - sqrt(50)\/(sqrt(20)\/sqrt(4)))\/(sqrt(242)*-2 - sqrt(8)\/(sqrt(12)\/sqrt(3))).\nAnswer: sqrt(5)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 2 = 5*y. Suppose 5 - y = n. Solve -3*q + n*q - 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 218, 306, 394, 482?\n\"Answer: 88*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 - d - 1. Suppose -8*s + 5*s + 2*i = -25, i = 4*s - 25. Let k be (-5)\/s*-5*3\/(-15). Calculate r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 65*x - 418. Let u be t(7). Put -4, 4, u in decreasing order.\nAnswer: 4, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:17 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 5. Let m = 5 + 1. Give h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = 4*r - 24, 0 = 5*r - 10. Suppose 8 = 4*w - 2*w. Calculate the least common multiple of c and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 8 = 80 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 54448?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/312 + (3 - 4) - 508\/26.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6336 and 2317068?\nAnswer: 407803968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqfqfqqqaqqfqq. Give prob of sequence ff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 30. Let u be v(13). Let d be 4\/(-3) + (-2)\/(-6). What is the third biggest value in 0.1, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/3, -21, -4, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 6. What is w(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2\/2*12\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + 3*(-35)\/(-30). Solve -2*l = -y + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-370)\/(-444)*(5 - -1). Solve -7 - 15 = -4*d - 2*i, 26 = g*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 426930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j**3 - 2*j**2 - 2*j - 3. Suppose 0 = -3*q - 2*q - 10. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3594, 0.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34990727 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -70450.476.\nAnswer: -70458.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*p + 240, 2*p + 43*d - 96 = 45*d. What is the lowest common multiple of p and 204?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-1))\/(14\/(-7)). Let g = -10 + q. Is 49\/2 + g\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, -3, 267 in increasing order.\nAnswer: -5, -3, 1, 4, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3414.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/(-6)*27\/(-12))\/2 + 10. What is the greatest common factor of 148 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, o: 1, q: 1, n: 3, s: 1}. Give prob of sequence onst.\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 9\/83 (b) 14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -28.00185. Round x to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i - 19*i - 406*i**2 - 347*i**2 - 15*i.\nAnswer: -753*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a + 2 + 40*a + 11*a - 2.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-9) - (6 + -2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k - 2*k - 72*k - 5*k to the form s + q*k and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-96 + 17) - -1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/22 and 662\/(-20) - 6\/15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 - q - 1. Let y be j(1). Let l be (8 - y) + (-1 - -42). What are the prime factors of l + (-3 - (-2)\/1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -0.555199353?\nAnswer: 0.855199353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -123. Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.8. Let k(o) = o**3 - 6*o**2 + 5*o - 1. Let c be k(5). What is the nearest to q in c, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89236.06l to millilitres.\nAnswer: 89236060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10307.16 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -124*q + 1783. Calculate the remainder when h(5) is divided by 88.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (4 + -5) - 0) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 + 21 = 0. What is the remainder when j\/((-25)\/10) - -42 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (177\/4)\/((-2643)\/3524)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 570*c**2 + 5495*c - 4920.\nAnswer: -5*(c - 8)*(c - 1)*(c + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2. Let w(s) = 14676*s - 108. Calculate w(c(u)).\nAnswer: 14676*u**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0 + 3. Let i(q) = q**3 + 6*q**2 - 3*q - 3. Let v(x) = -x**3 - 5*x**2 + 3*x + 2. Let f(t) = 5*i(t) + 6*v(t). What are the prime factors of f(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 5*y - y + 2*y - y + 0*y - y - y + 0*y + (4 - 2 + 0)*(-3*y + 4*y + y) - 23 + 22*y + 23.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -77*d - 269. What is h(-6)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111201 - 112?\nAnswer: 2111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w**2 + 3*w - 5. Let g(x) = 42*x**2 - 7*x + 11. Let p(v) = 4*g(v) + 7*m(v). Is p(4) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923511.\nAnswer: 19, 151, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 187415496 >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -40. Factor 20 - m - l*m + 0*m**2 - 18*m**3 + 23*m**3 + 10*m**2.\nAnswer: 5*(m - 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10044441 (base 5) to base 9\nAnswer: 133403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -f, 9*u - 3 = 8*u + 2*f. Is u equal to -32\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -25*y**4\/12 - 219*y. Let g(v) = 3*v + 15. Let j(k) = 32*k + 168. Let m(s) = 56*g(s) - 5*j(s). Calculate m(z(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q - 230 = 146 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b20 - -2774?\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 854645849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in -5, 5, -0.2, 24\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 522826942*v**2 + 616085440*v.\nAnswer: 1045653884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62120401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*g - 1287 - 4835 + 1247 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.4391 rounded to 0 decimal places?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 735946919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 + 73*n + 304. Let c be l(-4). What is the highest common factor of 3348 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + -6 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (160\/(-16))\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 124*c - 73. Let w be u(42). Let b be (0 - (-5 + w)) + (-78)\/(-10). Let -b*v**2 + 3\/5*v**4 - 3\/5*v + 6\/5 + 3\/5*v**3 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-3)*(162\/795)\/((-48)\/(-60)) and 74\/27.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/4 - 7*l**3\/6 + 11*l**2. Let j be z(-2). Suppose -4 = j*r - 29. Solve -8 = -4*c + k, -r*c - 3*k = k - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.65627735904 - 4.1\nAnswer: -39.75627735904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 6*v**3 + 0*v**3 + 3*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 1067060*j - 853962782700.\nAnswer: -(j + 1600590)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*l + 565. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16024504*m**3 - 16380678*m**2.\nAnswer: -96147024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 9*p**2 + 8*p - 2. Let t be h(8). What is the third smallest value in -2\/7, t, 0.06, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-18)\/(2916\/(-135))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -0.67 (c) -344 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stssttstlstslttslt. What is prob of sequence lt?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292523 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -446 + -3?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-184)\/(-90) - (-104)\/(-65)) + 2385\/(-81).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 h, and 1 s when four letters picked without replacement from msmmhsssmsssrmmjsmjs.\nAnswer: 63\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 22 - 6 = 0. Let p = 19 - y. What is the first derivative of -r**3 - r**3 - 2 + 3*r**p + 8*r**3 wrt r?\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112 - 109)*(-2)\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1010001?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26842590 by -2982510.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-129)\/(-27) - 4\/(-18). What is the units digit of 4\/((-64)\/(-40))*904\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v**2 + 7. Let i(n) = 3*n**2 + 2. Suppose 0 = t + 15 + 6. Let o(p) = t*i(p) + 6*l(p). Let b(g) = 3*g**2. Give o(b(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvggvgvvvgggg. Give prob of sequence ggvg.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 5:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p = -30*p - 280152. Suppose -13*q + 47339 = -p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/6 + 15*t. Let f be 6\/(-1)*10\/(-15). Let y(h) = 0 + f*h + 0. Determine s(y(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) -7386.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 172*r**2 + 5*r - 19. Let c(o) = -2*o**3 - 342*o**2 + 9*o - 39. Let v(k) = 6*c(k) - 11*p(k). Find the second derivative of v(q) wrt q.\nAnswer: -6*q - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1243 + -1179 - (8\/(-60) + 274\/30).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -1\/762, 10, -0.4, -25, -2\/3?\nAnswer: -1\/762","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = u - 71 + 76, u + 3*a - 1 = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 7, q: 5}. Give prob of sequence rxq.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9479 by -33.\nAnswer: 9479\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3184 is divided by 786?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11277 + 11276.985969. Round k to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.08 - -75. Let t = -6 - -8. What is the nearest to p in -1, -2, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-70)*-5*(4 - 316\/78)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1678 in 1012, -1, -4?\nAnswer: 1012","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 23048249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, p: 5, d: 2, s: 1}. What is prob of picking 1 r, 1 b, and 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-10)\/(-18)))\/((-24)\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6483651767 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/25))\/(s\/(s*s*s\/s**(-22)*s))*(s\/s**(-12))**(-4\/11) assuming s is positive.\nAnswer: s**(5872\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57105 - -3958?\nAnswer: 61063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 3*s - 69 = 0, 3*l + 44*s - 47*s = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -3. Let b(p) = p**2 + 41*p - 121. What is the remainder when ((-14)\/(-2))\/(o\/(-12)) is divided by b(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 + 2*m**3 + (m + 0 + 0)*(-m - 3*m + 2*m)*(12 - 12 - 26*m).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*m**2 - 5*m - 1746 - 1766 + 3509 in the form n*m**2 + j + c*m and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 6063600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -44. Suppose 4*t + 3*y = 12, -t + s*t + 5*y = -2. Solve j + z = -t, -5*z + 2 = 2*j - 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 - 2272 - 106 = -76*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 18692*p**3 + 58219344*p**2 - 60392816320*p - 121018659584.\nAnswer: 2*(p - 3116)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*j = -2*j + 334, 0 = -2*j - 4. Let f = 87 + r. Solve -6*i**f + 880 + 8*i**3 + 8*i**4 - 880 = 0 for i.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 11*c**4\/8 - 7*c**3\/6 + 11*c**2 - 2. Let j = -3 - -19. Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**2. Let b(p) be the first derivative of 28*p**2 + 797. Give b(c(h)).\nAnswer: -672*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**45 assuming n is positive.\nAnswer: n**(405\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14693844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 189, -2, 3 in ascending order.\nAnswer: -2, 0, 3, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*t - 67. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25431570 - 70608430 = -14*u. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3 + 9. Let w = -5433\/3682 + -44\/263. What is the common denominator of 1\/(-232)*a*79 and w?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1860 is divided by 914.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/48 + -3\/16. Let k(b) = b**3 - 7*b**2 + 4*b + 7. Let v be k(6). Let p be -4 + -6 + 7 + 0\/1. Sort v, p, l in increasing order.\nAnswer: v, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 1181\/21?\nAnswer: 1181\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19993, -19994, -19995, -19996, -19997, -19998?\nAnswer: -19999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2014740 and 28?\nAnswer: 2014740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184360 = -2074*y + 2084*y. List the prime factors of y.\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88002002?\nAnswer: 2, 11, 23, 173917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 20 = 6*m. Let z(w) = -4*w**2 + 2*w**2 - 1 + w + 3*w**2 + 3*w. Determine z(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 24. Let s(l) = 10*l**2. Calculate s(k(h)).\nAnswer: 10*h**2 - 480*h + 5760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 337757.\nAnswer: 3039813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 11*q**2 - 5*q - 76. What is d(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 3. Let x = -8 - -13. Suppose x*y = y + 8. Let q be d(y). Solve -2*b - 8 = 3*m, -5*b + q = 3*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01795 - 0.03?\nAnswer: -0.01205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 143\/5. Let c be ((30\/9)\/((-2)\/6))\/(-2). Suppose p + 4*k + 4 = 5*p, -c*p = 5*k + 5. Sort p, w, 5 in increasing order.\nAnswer: p, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:13 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = 2*j - 4*h, -5*h = -3*j + 9. Let s = 0.1 + 0.3. What is the smallest value in s, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:26 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 6 - 11. Suppose 0 = m + h*u - 16, -u - 10 = -m - 0*m. Calculate the smallest common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4745125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*k - 24, 3*d + 14 - 12 = k. Suppose 13 = 4*n - 7. Suppose -3*v = -4*v - n. Put v, 5, d in ascending order.\nAnswer: v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - (136\/36 - 3). Let k(s) = s. Let b be k(0). Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 1351, 4535, 10727, 20929, 36143?\nAnswer: 57371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 470700*j**3 + 27695281946*j**2 + 55389151800*j + 27694340552.\nAnswer: 2*(j + 1)**2*(j + 117674)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71112182?\nAnswer: 2, 23, 1545917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5256283 to the power of 1\/2, to the nearest integer?\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 less than -478?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-16))\/(21\/42). Put 0, -182, d in descending order.\nAnswer: 0, d, -182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 11*x - 2. Let b be u(6). Let t be (-1060)\/(-220) - b\/(-22). Find the third derivative of -5*q**t - q**5 - 19*q**2 + 23*q**5 wrt q.\nAnswer: 1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158341 is divided by 16674?\nAnswer: 8275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - 0.5. Let j = -1060\/9 + 118. Let z = 0.5 + -0.3. What is the nearest to j in l, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6448 and 181536?\nAnswer: 2359968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2499 + 2498. Let x(i) = i**2 - i + 1. Let t(u) = -8*u**2 + 8*u - 7. Give b*t(a) - 6*x(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15856543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {t: 1, e: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6084702, -12169404, -18254106?\n\"Answer: -6084702*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -452106.916 rounded to the nearest 100?\nAnswer: -452100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 2, o: 1, h: 2}. Give prob of sequence omh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-3) + (2 - 3) + 0. Solve -4*z = -v*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/9, 1\/3, 4, -0.35, -35 in descending order.\nAnswer: 4, 1\/3, 0, -2\/9, -0.35, -35","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1592*a**5 + 4435*a**2 - 4431. Find the second derivative of s(o) wrt o.\nAnswer: -95520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.625 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -633*g + 7594. Let b be z(12). Put b, 1, 5, -150, -1 in increasing order.\nAnswer: -150, b, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -b + 229, 0 = -3*b + 2*b - 1. Calculate the remainder when f is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/24 - 19*h**2. Let d(p) = 37*p. Determine d(c(a)).\nAnswer: -37*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/((-2)\/(-4)). Let z = l - 5. Let m = z + 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 20 + j + 242.\nAnswer: j + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263 + -3421\/13. Sort -5\/4, 4\/7, q, -2\/23 in decreasing order.\nAnswer: 4\/7, -2\/23, q, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/9, 0.4, 2\/3 in descending order.\nAnswer: 2\/3, 0.4, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m + 18. Give d(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, 20\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.04 to the nearest integer.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose -81 = -c*b - i, b - 110 = -4*b - 3*i. Let p(t) = t**3 + 44*t**2 - 419*t - 83. Calculate the remainder when p(-52) is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2*m + 14*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 13537234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -407*f**2. Let m(a) = -738*a + 13. Determine m(k(c)).\nAnswer: 300366*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + -3 + (-7 - -1) - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*8\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000001 - -1101010101100001011?\nAnswer: 1101011000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 55813 and 6465.\nAnswer: 62278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 14*x - 55 = 4*x, 3*w - 380*x + 762*x - 379*x + 15 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpcccipcccccpcc. What is prob of sequence cpp?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719981293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90069 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*g - g - 63, 5*k + 135 = 5*g. Let n = k + 28. Let q = 120 - 118. Solve 4*o - x - 23 = 2*x, -q*x = -n*o + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqzqzz. What is prob of sequence zz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 11*x = -4*l + 52, -2*x - 39 = -3*l. Suppose l*r - 25 = 8*r. Solve 1 = -4*p - r*d, -d + 19 = -3*p - p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150075 is divided by 536?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13433450 divided by -2.\nAnswer: 6716725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42654 divided by -42654.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 244291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.24799 rounded to two dps?\nAnswer: -11.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137984.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/215200 and -107\/40.\nAnswer: 215200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 89 - 145 = -366 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 7*q**2 - q + 7. Let u be p(7). Suppose u*f = -f + 5. Suppose -4*j + f*j = 0. Solve -i - 2 = j, s - 3*i = -2*s - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, -0.84, -805?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6) + 10\/15. Suppose 6*p = j*p. Suppose p = 4*b - 1 - 3, 4*g + 5 = 5*b. Is g greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*r - 3)*(-5 + 2 + 4) + (2*r - 2*r + 2*r)*(-2 + 1 + 2).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -577 >= -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z - 48. Suppose h - 4 = -3*h, 0 = 5*r + 2*h - 2. Let x be q(r). Let a = x - -48. Solve a = -5*t + j + 29, -17 + 3 = -2*t + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-10 - (10 + -4) - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + f**4)*(750 - 750 + 28*f) + 2*f**5 + f - 7 + 6*f**5 - 7*f**5.\nAnswer: 29*f**5 + f - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a day in hours?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 83. Solve 0 = -o + w*o - 3*p - 4, -2*o + p = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16767 and 15111.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8387, -14230, -20073?\n\"Answer: -5843*y - 2544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-20) - 11*(-3)\/(-15). Let x be ((-162)\/(-135))\/(1*v\/(-35)). Suppose -2*f + 45 = x. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6858, -13723, -20588, -27453, -34318, -41183?\nAnswer: -48048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 51*w**2 + 3*w + 51 + 54 + 307*w**3.\nAnswer: 307*w**3 + 51*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-3\/11)*h**(2\/23))\/(h**(-2))**(7\/3) assuming h is positive.\nAnswer: h**(5333\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/36*4*-1*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 419328?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -20.8 (c) 2\/7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 10. Let d be 2\/8 + (-1)\/4. Let k = 5 + d. Solve -c*x = -10 - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1405 + 1405 - 50*s.\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 6*n**2 + 7*n. Let a be r(7). Let w = -31876 + 31886. Sort w, a, -2, -4 in increasing order.\nAnswer: -4, -2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -483651, -965515, -1447381, -1929249, -2411119, -2892991, -3374865?\n\"Answer: -y**2 - 481861*y - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 576777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-117)\/18 + 2\/4. Let u be (44\/r)\/(-2) - 3. Are u and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 - 18*a + 2. What is g(4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-96)*8 - (-3)\/((-825)\/2765)\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 2*u + 0*u - 3*u + 4*u**3 to the form h + d*u**3 + f*u + c*u**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 64122*p. Let k(f) = -240*f + 2. Give o(k(l)).\nAnswer: -15389280*l + 128244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(2*n**2 + 0*n**2 - 3*n**2) + 5 + 12*n**2 - 5 + 262*n - 262*n + 26*n**2 as f + m*n + h*n**2 and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j + 0*j - 2*j + (3 + 0 - 4)*(-4 + 4 - 2*j) - 2*j + j + 3*j + 3*j + 2*j - 4*j + (2 - 2 - 2)*(-3*j + 3*j + j).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3c0b (base 15) to base 10\nAnswer: -12836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)*-3*1. Let v = -11.1 - 700.9. Let j = 717 + v. What is the second smallest value in j, -0.8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2170477 - 0.\nAnswer: -2170477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -38. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0*d**3 - 1\/9*d**4 + 0*d + 3\/70*d**7 - 10*d**2 - 5\/36*d**6 + 0 + 1\/5*d**5 - 5\/1008*d**8. Find s such that y(s) = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 15. Let q = y - 1. What are the prime factors of (0 - q)*22\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 5. Determine l(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/5)*c\/c**(-4\/5))\/(c*c**(-2\/7))**(13\/4) assuming c is positive.\nAnswer: c**(179\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 14 - (-11 - (7 - 13))) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 71 = -4*p, 0*x - p - 44 = -2*x. What are the prime factors of 3\/(-7) - (-2529)\/x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*w + 534, 2*w = -2*w - 12. Let j = 180 + q. What is the remainder when 67 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1781 and 2405.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230159 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by 144493\nAnswer: 195\/144493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-10))\/((-8)\/(-20)). What is the nearest to -0.5 in l, -3, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4673857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 326 + -653\/2. What is the closest to -11 in b, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 8, p: 2, u: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104\/27 - 1430\/189. Which is bigger: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 279618 and 139809.\nAnswer: 279618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3385, 6764, 10143, 13522, 16901, 20280?\n\"Answer: 3379*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80777 (base 15) in base 11?\nAnswer: -258606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1292, -1302, -1312, -1322, -1332, -1342?\n\"Answer: -10*t - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 31*p - 4. Let w be l(0). Let t be 5358\/18*3 - w. Round t to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (-16 - -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628554.\nAnswer: 2, 3, 104759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -49.2. Let r = 57.1 + k. Let y = r + -57. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1766846 and -5.\nAnswer: 1766841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13297.\nAnswer: 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n + 3. Let r(q) = 24*q + 6. Give -5*m(g) + 3*r(g).\nAnswer: 7*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881344.1ml to litres.\nAnswer: 881.3441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 1.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-12))\/(2\/(-152)). Let w = p + -169\/3. Let z be (-2)\/(-8) - (-27)\/(-12). What is the second smallest value in -3, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**3 - 130*d**2 - 55*d + 658. What is i(-21)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17557, -35131, -52705?\n\"Answer: -17574*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 209 - 119 = -7*b - 36 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415708 + 415736 = t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 5)*(-10*t - 19 + 10 + 11).\nAnswer: -90*t + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51798 - 51802. Let g = -0.05 + -0.35. Sort g, 15, 1\/4, j in ascending order.\nAnswer: j, g, 1\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 1, n: 3, r: 4, l: 3, m: 1}. What is prob of sequence llr?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -47, -11, 49, 139?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23473000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 + 410*q**2 + 408*q = 0 for q.\nAnswer: -204, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20105560.62200063 - 20105437.622. Let y = c + -123. Round y to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*v + 12 = -562*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 18. Let u(i) = -4*i**2 - 13 + 114 - 66. Calculate -4*u(a) - 7*w(a).\nAnswer: 2*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3021010 (base 5) to base 8.\nAnswer: 136177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = u + 8. What is the units digit of 11974\/u - 19\/(1368\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1579402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 13*b + 2. Let c be f(13). Suppose -c*n = 5*p + 134, -2*n = -6*n + p - 290. Let w = n + 78. What is the least common multiple of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 132 = -5*s. Let n = 79 + -15. Calculate the remainder when n is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = x + 12, 1101*w = 4*x + 1106*w - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(300)*-3)\/sqrt(6).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.532762us to weeks.\nAnswer: 0.000000001611330625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193962, 387922, 581882, 775842?\n\"Answer: 193960*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 25. Suppose -3*p = -12 - l. Suppose -38 - 32 = -p*x. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8065 = -2*d - 5*a + 34940, 5*a + 107425 = 5*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153414 divided by 54.\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 402, 4\/3, -2, 0.3, -4 in increasing order.\nAnswer: -4, -2, 0.3, 1, 4\/3, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050029531 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2730 - 1474. Calculate the common denominator of c\/96 - (5 + -1*2) and -67\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 33642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 7*i - 6. Let g be z(8). Let s(w) = -w**2 + 0*w - w**g - 3 + 7*w - 9*w. Determine s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*w + w + 12, 0 = -3*b. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100010 (base 2) to base 10.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.89 - 254860224.\nAnswer: -254860221.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:55 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 2*b - 0, -2*t = 2*b - 2. Suppose -3*j - 13 + 22 = -3*l, j + 21 = -t*l. Put -3, l, -3\/7, -2 in decreasing order.\nAnswer: -3\/7, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -193736.\nAnswer: 774944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 98*j + 552. Let x be w(-6). Solve -2*f - b = 4 - x, -2*f = 3*b - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = g - 3*o, -427 = -4*g - 2*o + 197. Suppose -5*i - 5*f + g = 0, 0 = -i + 3*i + f - 64. Let j = -15 + i. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114.61 or -3?\nAnswer: 114.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-8))\/1)\/((-21)\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10991, -21429, -31859, -42281, -52695?\n\"Answer: 4*c**2 - 10450*c - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8812.649kg in grams?\nAnswer: 8812649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3)\/s*s)\/s)**(-2))**46 assuming s is positive.\nAnswer: s**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 22*p + 41*p - 70*p + 0 + 0. Let i(a) = a + 4. Let u(v) = -1. Let d(r) = -i(r) - 4*u(r). What is d(k(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33744845 is divided by 1030.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18242102*c**3*n*u - 106*c**3*u - 46129*c**3 - 5*c**2*u wrt n.\nAnswer: 18242102*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 38267?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 10.5. Let w = 36.5 - x. Let i = 39.00000055 - w. Round i to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.329, 0 in decreasing order.\nAnswer: 0, -0.329, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185168.34 seconds to hours.\nAnswer: 51.43565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:18 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 16 + 64. Let r = 19 - p. What is the common denominator of -53\/6 and 53\/10 + 3 + r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -33. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.194 - -0.004. Let k = j - 0.01. Let x = 3.7 + k. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -132\/49, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f + 502. List the prime factors of x(9).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -1)\/((-10)\/(-250))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3971, 8\/3, -1 in descending order.\nAnswer: 3971, 8\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = 2*p. Suppose 2*k - 7 = p*h, 6*k - h - 11 = k. Suppose -10589988 = l - 3*g, 2*g - 21179992 = k*l - 0*g. Round l to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 divided by 11?\nAnswer: 892\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -106*l + 325. Give y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, 5, -5 in ascending order.\nAnswer: -7, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3658, 29335, 99042, 234793, 458602?\n\"Answer: 3669*a**3 + a**2 - 9*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48975?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04288, 5, -5, 5\/6, -0.0969 in descending order.\nAnswer: 5, 5\/6, -0.04288, -0.0969, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1132*i + 7. Suppose -2*x = -b + 7, b = 5*x - 2*b + 20. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.68 - 10.6. Let b = y - -0.74. What is b rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 4:13 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17*r**2. Let v(j) = 109*j**2 - 217*j**2 + 109*j**2. Calculate p(v(h)).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 16 = 53*m, 0 = 3*i - 5*m - 55. Calculate the greatest common factor of 2350 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 o when four letters picked without replacement from {j: 4, r: 2, o: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*0.0871\nAnswer: 0.012194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*m*y**3 + 2*m*y + 2*m - 6*y**4 - 1444*y**3 - 64*y**2 + 29266 wrt y.\nAnswer: -150*m - 144*y - 8664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -159.\nAnswer: 4\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let x(o) = 139*o - 266 + 529 - 142*o - 268. Suppose 0 = t + t - 3*y + 22, 2*y = 8. Determine t*s(c) + x(c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -4, 18, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2293, 6, 1.32, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.82 - -35.82. Let l = y - 36.94. Let t = -0.06 + l. What is the smallest value in t, 3\/8, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-44.5.\nAnswer: 4.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590461 is divided by 2050?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**3 + u**2 + 0*u**2 + 3*u**3 to a*u + n*u**3 + t*u**2 + m and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 4*g**3\/3 + 12*g**2 + 36*g - 8. Determine m, given that h(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from gygasgayasa?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8) + -1 + (-7 - -5). Which is the closest to l? (a) 0.1 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 106*w**2 - 5*w + 4. Let g(x) = x**3 + 11*x**2 + 30*x + 15. Let c be g(-7). Let j be o(c). Calculate the greatest common divisor of j and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 49*y - 338 - 201 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6 + 2?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)\/z**0)\/((z*z**(-3\/5)*z)\/(((z*z\/z**(-3))\/z)\/z)) assuming z is positive.\nAnswer: z**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/15, 0.4, -146, 25\/3, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:30 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -593517 divided by -16041?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150840814.\nAnswer: 2, 75420407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9\/11)\/t*t)\/(t\/(t*t\/t**(1\/36))))\/((t\/t**36)\/(t\/(t*t**8*t))))**(-18) assuming t is positive.\nAnswer: t**(-10357\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*v - 4\/3 + 8\/3*v**2.\nAnswer: 2*(v - 2)*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 1 - (110 + 61 - 68)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/12*(16 - -5). Suppose -6*h + p*h - 2*l = 266, -l = 4*h - 1100. List the prime factors of h.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 449 - 449.0000227. Round i to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(-5))*d*d))\/d*d*(d\/(d**13*d))\/d*d*d\/d**11*d\/(d*d*d**(-2\/45)*d) assuming d is positive.\nAnswer: d**(-943\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5030 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2553031, -2552992, -2552953?\n\"Answer: 39*k - 2553070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198\/527 + -8\/31. Suppose -4*u - 5 = -12*u - 13. What is the nearest to 5.1 in c, u, -2\/7, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -28. Suppose -15 - 3 = -y*b. Let x = 20 + -11. Is x at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and 38\/10403993?\nAnswer: 104039930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.24 + -67. What is v rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -9. Calculate the remainder when 4*2\/36 - (-71)\/9585*5235 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113313*i + 345434*i - 482608*i - 628022*i.\nAnswer: -878509*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + m + 69, -17 - 94 = -5*r + 3*m. Sort 0.2, -3\/7, r.\nAnswer: -3\/7, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.4 + 10.8818. What is p rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 611*x**2 + 4*x + 9. Is q(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 884?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(5\/3)*j))*j*j\/(j*j*j*j*j\/j**15))\/(j\/(j\/j**(-16))*j*j**(-5\/2)\/j) assuming j is positive.\nAnswer: j**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*g + 5 = 0, 3 - 8 = -5*l - 5*g. Let d = l + -2. Solve d*o - o = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 90, 307, 736, 1449, 2518?\nAnswer: 4015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*d**3 - 15*d**3 + 34*d**3)*(2 - 2 + 5*d) - d**4 + 2*d**4 - 3*d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((19 - 6) + -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 11*q - 33. Calculate the smallest common multiple of 114 and z(3).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 61.0000339. What is h rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 11304.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28492554, 56985108, 85477662, 113970216?\nAnswer: 142462770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1\/2910 (c) 3 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 8844*k**3 - 460395*k**2\/2 - 1496833*k.\nAnswer: k*(k - 17714)*(k + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 15. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (19 - 28) + 3 + -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 87. Solve -4*d - 2*x = 18, 5 = d - x + q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o*o*o**(-2\/5))\/(((o*(o**(3\/5)*o)\/o)\/o)\/o**(1\/3)) assuming o is positive.\nAnswer: o**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 3. Let b be (15\/(-6) + 2)\/((-2)\/224). Suppose q = -53 + b. Give o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 104940.4 nanograms?\nAnswer: 0.0000000001049404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 8. Let x be r(9). Suppose 0*z - z = 3*s + x, 0 = 3*z + 3*s. Suppose -j = -4*y - 0*y - 22, 0 = 5*j + y - z. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26905\/1786 > -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265096 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*o**3 - 3*o**2 + 3*o**2.\nAnswer: 62*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuss when four letters picked without replacement from ssusssssssssu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 19. Let k(y) = s*y - 217*y + 113*y + 1. Determine k(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/21*72\/32)\/(231\/294)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 3*f**2)*(3*f + 0*f - f)*(4*f**2 - 3*f**2 + 4*f - 3*f**2).\nAnswer: 12*f**5 - 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/45 (b) 4 (c) 0.2 (d) 0.5 (e) 1\/115 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4164 + -4165.3259. Let d = k + -0.0181. Round d to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -554.7 + 555.2. Which is the third biggest value? (a) 5 (b) 18 (c) s (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q - 2*q**2 - 1 + 2*q**2 - q**2 - 1. Calculate the smallest common multiple of 18 and c(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11700 divided by -13\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let m = w - -3.2. Let f = 155.728 - 153.728. Which is the biggest value? (a) -2 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((12*3)\/2)\/(11 - 575\/46). Put u, -3, 4, -5, -4 in increasing order.\nAnswer: u, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 1 + 9\/(-3). Find the first derivative of i**z - 10*i**3 + 10*i**3 + 2 wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8139 * 7.\nAnswer: -5.6973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 252, 353, 452, 549, 644?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-38)*h**(7\/5)*h*(h**(2\/9))**(-20) assuming h is positive.\nAnswer: h**(-1802\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -1) + 2 + 1535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5578764)\/(-54))\/(46\/207) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -62, 2, 0 in ascending order.\nAnswer: -62, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57769\/106 + -545. Let c = 203\/954 - q. Let d = 504 - 505. What is the second biggest value in d, c, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 0 (c) 25 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -4)*(4 + 26\/(-6)). Suppose w*m + 28 - 48 = 0. Solve m = d - 5*y, 0 = 2*d - d + 3*y + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5929062 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6865191, -6865193, -6865197, -6865203, -6865211, -6865221, -6865233?\nAnswer: -6865247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83814 - 45903. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bucuiuucibc. Give prob of picking 2 b and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/5*1\/(-2))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -3210526690\nAnswer: 3210526690.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1005265*i**2*y**3 + 292*i**2*y**2 + 5*i**2 + 18*i*y**2 - 2*y wrt y.\nAnswer: 6031590*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -80 + 16 - ((-1 - -1) + 14 + -4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 49*h**2 + 29*h + 8. Let z(p) = -11*p**2 + p - 1. Calculate -o(c) - 4*z(c).\nAnswer: -5*c**2 - 33*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - y + 115 = 37*u, -3*y = -3*u + 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 17 = -1. Let f = 7 + -2. Suppose m + k = 3, -2*k - 3*k + f = 0. What is the highest common factor of c and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 61 = 3*r, 4*i - 9 = 4*r - 61. Let x(h) = h - 2. Let v(q) = -162 + 335 - 3*q - 167. Determine i*x(g) - 4*v(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 + 5.7. What is the second biggest value in s, -0.1, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46034, -92066, -138100, -184136, -230174?\nAnswer: -276214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/((-726)\/12) - 186\/66. Which is the biggest value? (a) o (b) 0.06 (c) 0.1 (d) 3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/8 - q**3\/6 - q**2. Let n be 128*-2*3\/12. Let f be n\/(-28) - (-4)\/(-14). Let w(y) = 7*y + 3. What is f*w(z) + 5*c(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3011200 - 3?\nAnswer: 3011131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100111?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j - 3*a + 11175 = 56*j, 2795 = j + a. Is j a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94892*o - 3 + 9090*o + 481041*o.\nAnswer: 585023*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -161 - -151 - (1 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 1 (c) -2\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrerrrrer. What is prob of sequence errr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39767 and 1365.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2)\/((-10)\/(-20)). Let p be (-4)\/4 - (v + 1). Suppose -3*g + p*g + 777 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 42*z**2 - 18*z**2 + z as m*z**2 + l*z + o and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 20, k + 85 = 5*j. Differentiate -12*s + 11*s + j*s + 11 + 7*s with respect to s.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/5215572?\nAnswer: -7\/5215572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-10))\/((-2)\/2328). Let w = 302 - 416. Let q = w - f. Find the common denominator of q and -27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 102413021?\nAnswer: 102413012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*l**3 - 12045*i*p**2 + i + l**3*p**2 - 1108*l**2 - 7*l*p**2 + 233*l wrt p?\nAnswer: -24090*i*p + 2*l**3*p - 14*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 - -226 - 27 - ((1 - 1) + 26).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76)*-2 + (sqrt(76) - -4*(sqrt(76) - -1*sqrt(76) - sqrt(76))))\/(1*sqrt(576)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 4*f + 5. What is the units digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(0 + 0 - 3*k)*(2*k - 4*k + k) to y + p*k**2 + z*k and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - ((16125\/(-86))\/(-125))\/((-1)\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 5918 = 6*p + 18*x, 5*p = x + 4933. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Suppose 3*y = 5*r - 26, 0 = 4*r + 113*y - 111*y - 12. What is the second biggest value in o, -0.22, r?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 5*q**2 - 4*q + 2. Let l be p(-4). Suppose 0 = l*g + 3*g - 20. Solve 8 = g*v - 8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 2. Let g be x(1). Suppose -6*q + 4*q = g. Suppose q = 3*t - 2*t - 14. Calculate the greatest common factor of 112 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211000101222012 + -2?\nAnswer: 102211000101222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/267528 and -23\/1727.\nAnswer: 2942808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158042 and 6441?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 7*j**3\/3 + 18. Let g(o) = -14*o**2. What is i(g(b))?\nAnswer: 1372*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, v: 2, j: 6, f: 4}. Give prob of picking 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 358 + -356. Solve 4*v - 16 = 0, 4*q = -c*v + 7 + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5186, 5185, 5170, 5135, 5074, 4981, 4850, 4675?\n\"Answer: -n**3 - n**2 + 9*n + 5179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -146*w**2 - 5*w - 14. Let z be k(6). Round z to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - 256\/(8 + -16). Suppose 0 = -z*r + r + 230424. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 4 + 4*t**3 - 9*t**2 + 24*t - 33*t. Let l be v(-8). Suppose -3*u = -6*u + l. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30.8 or -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 54*z + 30 - 4 = 56*z, 4*z - 32 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 805 and 596344?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 6, 30, 76, 150, 258?\n\"Answer: d**3 + 2*d**2 - 5*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 88 = 3*o + 49, -5*o = 11*y - 9*y - 65 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/425 and 14\/23375?\nAnswer: 23375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*w = -1, 3*w = 4*u - 25 + 2. What is the closest to -2\/3 in u, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6598, 8353, 10108, 11863, 13618?\n\"Answer: 1755*r + 4843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 - 5*n + 2. Let q be j(5). Differentiate k - 3 - 3*k**q + 1 - k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15)\/(108\/(-648))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 872, 1946, 3450, 5384, 7748?\nAnswer: 10542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2489863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 5, n: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -1, -4, 1, 20, 5 in increasing order.\nAnswer: -153, -4, -1, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 16*u - 8 = 0. Suppose -6 = 2*h - u. Let z be (1 - (h + -2)) + 0. Solve -t = -z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 32*c + 10*c**2 - 6*c**2 + 13*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.331 equal to -0.038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(350)*5)\/((sqrt(22) - 1*sqrt(2662))\/((sqrt(44)*-1)\/sqrt(4))).\nAnswer: -25*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236963\/14 - 16934. Calculate the common denominator of g and -47\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + (-11)\/(-3). Suppose -m - 2*x = -152, -2*m = 3*x - 0*x - 300. Suppose -d*z + m = -0*z. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 22. Let r be 4\/(-8)*6 + 3. Let k be r\/3 + -1 - -4. Solve o - 4*v = m, 3*v - 16 = k*o + 5*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3570 (base 12) to base 15\nAnswer: 1b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2482290684\/959 - 2588415. Let y = h - 2\/137. Sort y, 3, -0.3 in descending order.\nAnswer: 3, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 157, 147, 133, 115, 93, 67?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/56*(30\/25)\/(2\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Suppose 3*i - 17 = -2*i + 3*t, -9 = -3*i + 3*t. Let r(h) = 3*h - i*h - h. Determine r(k(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*(((w*w*w**(-5))\/w)\/w)\/w)\/(w**8\/(w**(1\/15)\/w))*w*w**(2\/5)*w**(-2\/13)*w**4\/((w\/(w*w\/(w**2*w))*w)\/w) assuming w is positive.\nAnswer: w**(-2669\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 24*a**2 - a - 2. Let l(w) = 23*w**2 - w - 1. Let j(q) = -5*b(q) + 6*l(q). Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18138, 18279, 18518, 18855?\n\"Answer: 49*d**2 - 6*d + 18095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3397180*d**2 - 1764095 wrt d?\nAnswer: 6794360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 3*k = -21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -20*c**2 - c - 1. Let b be u(-1). Let v be (8\/(-20))\/(2\/b). Let d be v\/10 + (-23)\/(-5). Solve -5*f - 15 = d*m, 3*m + f = -m - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 3*o - 42, 0 = 4*a + 3*o + 21. Let h(d) = 5*d**2 + 27*d + 14. Calculate the smallest common multiple of 77 and h(a).\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26695194 is divided by 1176.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5751105 is divided by 1854?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/414 and -149\/289806.\nAnswer: 19996614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 4*x + 3 = -16*y + 7*y - 48, 0 = 2*x + x + 42 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**3 - 481*x**5 + 41*x + 26 - 12*x - 3*x**3 - 20*x wrt x?\nAnswer: -9620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + x**2 + 9*x - 17. Let i be l(2). Suppose -3*v + 0 - 15 = 0. Sort i, 1, v in increasing order.\nAnswer: v, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhfniffhifi. Give prob of picking 1 i and 1 f.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -110*f + 8. Is n(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 9*i - 7*i - 5*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 164960.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**7\/210 - v**4\/24 + 3*v**2\/2 + 4. Let b(o) be the second derivative of j(o). Find the second derivative of b(k) wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221000102220 (base 3) in base 13?\nAnswer: 70890c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (9\/(-3) - -4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8484, -8504, -8524?\n\"Answer: -20*r - 8464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 2 m when four letters picked without replacement from tamtjtmtjrtjarttaa.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*b = -2*b - 33, 2*p + 4*b = 32. What is the smallest common multiple of ((-4)\/(-6) - 0) + (-2496)\/(-468) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 140525521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 618158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -1083 (c) 4 (d) -790 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 + -14486468.\nAnswer: -14486468.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 - 3*t + 1. What is x(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*o - 79*o + o.\nAnswer: -298*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuiuiii. What is prob of sequence iuiu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 97. Let h be m(-11). Suppose 5*k - 55 = 5*n, -k - 38*n = -h*n - 14. Solve -5*a - k - 16 = 2*o, -5*a + o - 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.72. Let q = -0.98 + h. Let y = 0.9999994 + q. What is y rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = 13*k - 15*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16915828 and 787349.\nAnswer: 8117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*r - 35 = 0, -3*p - r - 3*r = -35. Let w(k) = k**2 - 3*k - 7. Let m be w(p). Let v(z) = 6*z - 3*z - m*z - 10 + z**3. Determine v(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26 - 0.15. Let y = b + -4.11. Let v = 0 + -0.1. Is v at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 59*y + 485. Calculate i(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1634*w**2 - 6*w + 1224. Let t(s) = -3269*s**2 + 11*s - 2437. Let v(j) = -11*h(j) - 6*t(j). Differentiate v(l) with respect to l.\nAnswer: 3280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 - (7 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80414205 or 80414203?\nAnswer: 80414203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -25 (c) 0.1 (d) -6 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001739 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 83. Suppose q*v = -3*c - c + 36, 0 = 2*c - 8. Solve 0*f + v = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132355 (base 6) to base 16.\nAnswer: -2fcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 4*i + 85. Let v(g) = 40*g**2 - 48. Let q(f) = -f**2 + 1. Let z(p) = i*v(p) - 48*q(p). Let m(c) = 5*c**2. Give m(z(y)).\nAnswer: 320*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -68, 11, 8.\nAnswer: -68, 5, 8, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 461 + 2?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 33. Calculate b(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((6 - 3) + -3)\/1. Sort w, -16, -2 in descending order.\nAnswer: w, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16629.\nAnswer: 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1 - (0 + -4 - -4)) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658796128.\nAnswer: 2, 31, 664109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14695423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 480?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8718, -9899, -11066, -12213, -13334, -14423?\n\"Answer: h**3 + h**2 - 1191*h - 7529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27096.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(288)\/sqrt(9)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + 4 - ((12 - 3) + -5 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11877513611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.629968 meters to kilometers.\nAnswer: 0.005629968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -77*p + 70*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (13 - 6 - -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 2*l**3 + 3*l**4 + 0*l**4 - l**3 + 2*l**2 to n*l + r + f*l**2 + q*l**4 + b*l**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, i: 6}. Give prob of sequence ivii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 43*j - 90.\nAnswer: (j - 45)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, -5, 0, -160, -4 in descending order.\nAnswer: 3, 2\/5, 0, -4, -5, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*f**3*m*u + 2*f**3*m + 560*f**3*u - 9110*f*m - 2*m with respect to u.\nAnswer: 35*f**3*m + 560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + -9 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**9\/y)\/y*y**10)**(4\/29))**(-3\/14))**(-38) assuming y is positive.\nAnswer: y**(3876\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128 in -4, 1601, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d + 6 = 30*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19589660?\nAnswer: 2, 5, 83, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 938 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 19. Let i be s(22). Let o be (-4)\/4*0\/i. Suppose 3*n - v - 5 = o, 0*v - 2 = -4*n - v. Put -4, 6, n in descending order.\nAnswer: 6, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.68811 + 13.6881. Let d = m + -5. What is d rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*o = -1 - 1, -4 = y - 4*o. Suppose 50 = -w - y*w. Let i be 3\/(-6)*w + -4. Solve 8 = -3*r - i, 0 = -3*v + r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 154 + 3*z**3 - 156 - 4*z + (2 - 2 + 2*z**2)*(-z + z - 2*z) - z**3 + 2*z**3 + z**3 + 2*z**3 - 2*z**3 + 4*z**3.\nAnswer: 5*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 4, -4, -185, -5, 23 in descending order.\nAnswer: 23, 5, 4, 2, -4, -5, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108491 and -0.19?\nAnswer: -20613.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -0.5 (c) 1\/8 (d) 0.01 (e) 1\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, -0.023, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10462985, -10462987, -10462989, -10462991?\n\"Answer: -2*f - 10462983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -157556, 4 in descending order.\nAnswer: 4, -1, -11, -157556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 + 18.25. Let s = y + -17.6. Let f = -20\/3 + 22\/3. Which is the nearest to f? (a) -4 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 28420.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 12*r**2 - 14*r**2)*(0 - 1 + 2)*(-r**3 + 0*r**3 - r**3).\nAnswer: 48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*c**2 - 23*c - 2*c**3 + 23*c + 0*c**3 - 15.\nAnswer: -2*c**3 + 53*c**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**2. Let i(p) = p**2 - 5686*p - 3. Calculate i(d(n)).\nAnswer: 144*n**4 + 68232*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20936 and 5576827?\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058213 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1235, -1113, -995, -881, -771, -665, -563?\n\"Answer: -2*f**2 + 128*f - 1361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.9.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 54 + 51 = 0. Suppose -6*g + 3*g + 5*b = -k, 45 = 3*g + 3*b. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d - 37. Let f = d - -16. Suppose -f*x + 166 + 749 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 bigger than -943\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 + -10?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.8 + -0.2. Let t = 6 + u. Let m = t - -3.0075. What is m rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.85 + 1.5. Let y = s - 0.35. Let b = y - 0.3014. Round b to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/22 - (-2)\/11. Solve -5*z - 5 = -f*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1722*v - 10366. Calculate d(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/48 + -2663\/240. Let n = b + 1502\/135. Do 1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73023*p + 139687 wrt p.\nAnswer: 73023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 - 2*p + 2*p + 3*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 3 - 29*v.\nAnswer: -29*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 481, 484, 497, 526, 577, 656, 769?\n\"Answer: k**3 - k**2 - k + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l + 98. Let i be s(22). What are the prime factors of 586*(-2 - (-35)\/i)?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*l - 34*l - 33*l + 9 - 37*l**2 - 4*l**2 + 3*l**2 + 3*l**2 + (-3 - 3 + 5)*(0*l**2 - 3*l**2 + 4*l**2) - 6*l**2 + l**2 + 3*l**2 + l**2 - 6*l**2 + 3*l**2.\nAnswer: -40*l**2 - l + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*r**4*t - 2*r**4 + 2*r**2*t + 3*r**2 + 3*r*t wrt r?\nAnswer: -3288*r*t - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211857 = 4*i - r - 289738, 376185 = 3*i - 3*r. What is i rounded to the nearest 1000?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -754, -750, -734, -700, -642?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 65. Which is smaller: 24 or w?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.19 + -122.19. Let p = 129 + f. Which is the third biggest value? (a) 5 (b) -4\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26146476 and 17578.\nAnswer: 287611236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-80) + (-2)\/(-8). Factor -t + 3\/5*n**2 + 8\/5*n.\nAnswer: (n + 3)*(3*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/3? (a) 0.4 (b) 2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 675132462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38422 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 + 1 = 5*n, 5*t = 15. Sort n, 2\/11, 1\/4, 0.2 in ascending order.\nAnswer: 2\/11, 0.2, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*3\/18*164. Suppose -2*b - 32 = 2*y - m, 0 = 2*b + 8. Let o = y + -6. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 25. Let n be ((-4)\/d)\/(2\/(-50)). Suppose 11 = 2*q + 3. Solve -4*y - q*z = -n, -4*z + 3*z - 7 = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 20*u**2 + 20*u + 43. Let v be b(21). Solve -24*k = -v*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 3*t = -4*o - 24, t = -5*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 904245 and 7233960?\nAnswer: 7233960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aannnnannnnnnnnnnnnn. What is prob of picking 2 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 4*l = -0*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7.841778 nanoseconds?\nAnswer: 0.0000000001306963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (0 + -11 + 17 - (1 + 14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -27, 0, 77, 222, 453?\n\"Answer: 3*v**3 - 2*v**2 - 20*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 15) to base 6.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/31)\/(v**(-1\/2)\/v))\/(v**3\/v**(-3))*v**2\/(v*v**(-4)*v*v)*v**1\/((v**7*v)\/v) assuming v is positive.\nAnswer: v**(-461\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h + 21*h - 2*h as d + g*h and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16252 (base 15) to base 12.\nAnswer: 353a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -199326\nAnswer: -1\/199326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4693 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -439 in decreasing order.\nAnswer: 10, -5, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18012.010023 - 18012. Let m = z - 0.01. What is m rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208387158?\nAnswer: 2, 2749, 401671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 8) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7109.010758 + 7109. Round t to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523013 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 12*i + 7. Let k = 99 + -92. Calculate r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.19149 (b) -1\/10 (c) 77 (d) 4 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -89*s - 951. Determine n(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 1602, 2329, 2994, 3573, 4042, 4377, 4554?\nAnswer: 4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1790 - 1778. Solve 3*f - f = -k for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4173 divided by -6.\nAnswer: 1391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*a**4*y**2 + 3*a**4*y + 29*a**2*y**2 + 23*a**2*y wrt a.\nAnswer: -2904*a*y**2 + 72*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.04193 times -200?\nAnswer: -6008.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 + 12 + -2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/((-2)\/12). Suppose 4 + j = 3*v. Let q(z) = 7*z + 2. Let u be q(3). Solve 0 = k - v*r - 1, -7*r + 3*r = 3*k - u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/65 - 7\/(-91). Solve 4 = -d - 3*j - r, -15 = 3*d + 2*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17750, 35552, 53346, 71126, 88886?\nAnswer: 106620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 349137557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 + 51. Let g(n) = 3*n**2 + 10*n + 35. Let l(b) = 4*b**2 + 12*b + 42. Let i(h) = 6*g(h) - 5*l(h). Give i(k(z)).\nAnswer: -50*z**4 - 1020*z**2 - 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-165)\/(-175)*(-85)\/51. Let g = -2 + 0. Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*8 + (-1050)\/(-125). What is the closest to 0.1 in 0.2, b, -5\/13, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-81)*((-54)\/24)\/(15\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 115200 and -12004.\nAnswer: 103196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:38 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11772 and 218.\nAnswer: 11772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -64*a + 640. Let f be s(10). Solve f = -10*u + 34 + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.85 times 997092?\nAnswer: -3838804.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 116*p + 33. Let z be (90\/(-12) - -8)\/((-1)\/(-26)). Is i(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -7487?\nAnswer: -5\/7487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 5, f: 3, g: 4, b: 1}. Give prob of sequence lb.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147945 is divided by 36984.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*v + 20, 3422*v + 5*d = 3420*v - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i**2 + i - 2. Determine o(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/25149 + -2773\/268256. Which is the nearest to o? (a) -2 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 - (0 - -2 - (-15 + 15 + -10)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 11, 2, -1\/3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -143\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6*n**4\/11 + 54*n**3\/11 + 378*n**2\/11 + 570*n\/11 + 252\/11 = 0?\nAnswer: -3, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o + 12\/5 - 6\/5*o**2 + 1\/5*o**3.\nAnswer: (o - 4)*(o - 3)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3 - 2144944*q**2 + 120129408*q = 0 for q.\nAnswer: -536292, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41188 divided by 4\nAnswer: -10297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 15 = -19*c. Let k be (-8 - -18)*c\/(-5). Let m be (-14)\/35 - 32\/(-5). What is the greatest common factor of k and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czvcx. Give prob of sequence vcc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5165 (base 8) in base 12?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -5*-1*sqrt(65) + sqrt(65))*3*2)\/((sqrt(120)\/sqrt(4))\/sqrt(6) + sqrt(20)\/sqrt(4)*5) + -1.\nAnswer: -1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (-26 + 20 + 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 66.63162mm?\nAnswer: 0.06663162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10. Let x(y) = -3. Let k(j) = 2*r(j) - 7*x(j). Let h(o) = 6*o**2 + 2. Let n(f) = h(f) - 2*k(f). Let c(u) = -3*u**2. Give c(n(b)).\nAnswer: -108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 39. Solve o = -2*b + 4*x - 6, 5*b - 17 = 5*x - 3*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 33 + 67 + 10. Solve -4*n - 14 = 3*l, 3*l - 5*n = 20 + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3582832 and 174592.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**3 + 5\/2 - 9\/2*t + 3\/2*t**2.\nAnswer: (t - 1)**2*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/4*(-4)\/(-5). Suppose -p*v + 73 = -55. Calculate the highest common factor of 48 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57115 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1120750, 1120751, 1120752, 1120753, 1120754?\nAnswer: 1120755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/9726 and 65\/198.\nAnswer: 320958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*y + 1035*y + 1598 - 2067*y + 11*y**3 + 8*y**3.\nAnswer: 19*y**3 + 1598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 6*i - i**2 + i**3 + i**2 + i**2. Let f(s) = -s**4 - 8*s**2 + 4*s. Let z(p) = -f(p) - 4*l(p). Factor z(c).\nAnswer: c**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10457 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 25 = -4*x + 22*w, 4*w = 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000373555876 rounded to six dps?\nAnswer: -0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let y(m) = 14*m + 91. Let d(u) be the first derivative of -u**2\/2 - 6*u - 12. Let o(n) = -91*d(n) - 6*y(n). Determine c(o(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 + 139*v + 38. Let z be q(-26). Calculate the highest common factor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:42 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 65*m + 927. Let z(f) = -37*f - 463. What is 4*u(g) + 7*z(g)?\nAnswer: g + 467","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 824453101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -72. Let c = -22 - t. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32424 and 1848.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 2, u: 4, r: 4, e: 2, f: 2}. What is prob of sequence uzer?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 8565 = 2953. Solve -17*l - 143 + o = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*h - 26, 3*n - 2*h + 14 = 2*n. Let s(v) = v**3 + 6*v**2 - 2*v - 1. Calculate the remainder when s(n) is divided by 12\/(-8)*-1 - 36\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**8\/f)\/f)**44\/(((f*f\/(f**(-15)\/f))\/f)\/(f**2*f)) assuming f is positive.\nAnswer: f**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 - 403539*z + 403539*z - 3.\nAnswer: 9*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6)*9*-4. Suppose 3 = -9*r - p. Which is greater: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2292 + 0\/(-5))*104\/32. Let u = -13449 + z. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210584 and 179432?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 8233 - 9855 = 0. Let o = 479 - g. Solve 2 = o*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + r**2 + 4*r + 6. Let f be y(-4). Suppose -f = -2*v - v. Calculate the highest common factor of v and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x**2 - x + 3. Let g be t(2). Let z = g + 21. Suppose -15 = -f + 3*u + 24, -z = -3*f - 2*u. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 90*q - 374. Let p be b(94). Let r(u) be the second derivative of -3\/4*u**4 + 0 + 0*u**3 + u**p - 49*u. Let k(l) = -2*l**2. Give r(k(g)).\nAnswer: -36*g**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqqqqaqqqqqqqa. Give prob of picking 1 a and 3 q.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 21*t - 18 = -20*t - 2*t, 3*t + 16 = d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 319613417\/343624 + -18\/42953. Let h = -918 + t. Let x = -2525\/12 - -757\/4. What is the common denominator of h and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*u - z, -4*u - 9 = -5*u - 4*z. What is the common denominator of 43\/7 and 0 + u\/((-297)\/114)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from {n: 2, t: 4, k: 2, d: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10ae + -b100?\nAnswer: -a052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-1*(-2)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o - f - 3, o = -3*f - 13. Find the third derivative of 2*g**4 - 4*g**2 + o*g**2 - g**4 + g**2 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -44. Suppose 6 = -5*f - h. Calculate the least common multiple of 2 and (-1)\/f - (-63)\/35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q. Let l(u) = -570413*u. Calculate m(l(h)).\nAnswer: 1711239*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 52*b + 52 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(1400)*3)*-6)\/(sqrt(96)\/(sqrt(12) + sqrt(12) + sqrt(12) + sqrt(96)\/(-2*sqrt(8)))).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*w = -1, 2*w - 7 = -2*r - 3. Suppose 3*k - l + 9 - 58 = 0, 0 = 4*l + 16. Solve -y - r*v + 12 = v, 3*y = 5*v - k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -556*o - 2454 - 326 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -27634?\nAnswer: 27637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - 3*o**2 + 2*o**3)*(-6 - 12 - 9 + (2 + 3 - 4)*(-12 + 22 - 83)) as w*o**3 + s*o**2 + c*o + p and give w.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23164, 0.02, -8\/3, 1\/4?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13558?\nAnswer: 2, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10190 and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 8*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/552240 and 37\/38196600.\nAnswer: 229179600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from innnnaanfiiaaniiin. Give prob of picking 2 i and 2 n.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 - 18*p - 11. Calculate z(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6570055*l + 6570060*l = -46*h - 64, 2*h = l + 33 - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188754675 and 24620175.\nAnswer: 566264025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1661108.8900664 - -1661110. Let l = t + -1.11. What is l rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 46 + 43 - 17101*u.\nAnswer: -17101*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1229 + 2568. What are the prime factors of s?\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -52 + (3 - (1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -581057\/8 - -72769. Let g = -5241\/40 + t. Calculate the common denominator of 2 + (33\/77 - 874\/308) and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1353 + -1084. Calculate the remainder when x is divided by 129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 - 3*d - 2. Let x be v(-6). Suppose -3 = 2*o - 5*l, -3*o + 2*l = 4 - x. Let z = -71 + 76. Solve -z*s - 1 = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/2, 0.077, -1\/12, -18, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 95\/(-20)) + 319\/(-4). Let z = n - -79. Factor z*r + 0*r**2 + 1\/3*r**4 + 0 - 1\/3*r**3.\nAnswer: r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7601831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12389.29996 + 12389. Let w = -0.08 - -0.38. Let x = w + y. What is x rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-421 - 772 - 13)*(-2 - 3 + 0 + (-2 + 3 + 1)*(-4 + 3 + 3) + 1 + 3 - 3 + 2 - 2 - 1)*(-m - 2 + 2).\nAnswer: -1206*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11110101010000100?\nAnswer: 11110101010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147847.\nAnswer: 3, 37, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*o**3 + 6*o**2 + 38321*o - 1032053048.\nAnswer: 48*o**2 + 12*o + 38321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -15, -41, -81?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)*(-4 + 4). Let j(w) = -w**3 + 14*w**2 - 2*w + 34. Let k be j(14). Solve 4*d + p = -a - 9, -3*d - 5*a = -k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 421093\/44 - 9571. Calculate the common denominator of -93\/40 and x.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -8, 11, 4 in decreasing order.\nAnswer: 11, 6, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4165 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 443, 401, 321, 191, -1?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 4*c - 49, 988*b - 986*b + 2*c = 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/60 + z**4\/3 - z**3\/3 + 2*z**2. Is 18 a factor of g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753556?\nAnswer: 2, 43, 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - -3 - 26\/(-14). Let g = 2\/7 - l. Sort -2\/17, 0, g.\nAnswer: -2\/17, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 52 = -22. Which is smaller: 1.29 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 7*u - 6. Let a be k(-9). Suppose 0 = a*y - 13262 - 3382. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**4\/24 + s**3\/3 - 9*s**2 - 2. Let n(x) = -1. Suppose 0 = -m + 2 - 1. Let h(u) = m*o(u) + 3*n(u). Calculate h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -27 - ((-42 - 4) + 10)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:09 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 11*a - 12. Let w be n(7). Suppose -u + 19 + 20 = 0. Let d = u + w. What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-16) - (1 - 29\/24)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 3*x**2)*(1 - 3 + 4) + 2*x**2 + 2*x**2 - 3*x**2 - 66*x**2 - 3811 + 3811 + (-2 + 2*x + 2)*(-2 + 2 - x) - x**2 - 1 + 1 + 2*x - x**2 - 2*x.\nAnswer: -73*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 27 + 3 = 2*s, -4*s = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312*t**5*z**2 - 7*t**3*z**2 + 355*t**2 + 2*z**2 wrt t?\nAnswer: -18720*t**2*z**2 - 42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 36*s**4 - 15*s**3 - 48*s**2 + 27*s - 15. Let n(v) = -5*v**4 + 2*v**3 + 7*v**2 - 4*v + 2. Let w(x) = 2*l(x) + 15*n(x). What is u in w(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.064? (a) 1\/7 (b) -1\/12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 21 + 13 + 1 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s = 64*s. Suppose -6*y + 3*y = 0, 2*j + 4*y = s. Solve -5*a + 4*g = -0*a + 20, j = -5*a + 2*g - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881004353?\nAnswer: 5507, 159979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0 + 1\/2*s**2 - s + 0*s**3 - 1\/4*s**4. Let k be ((-646)\/51)\/(-19) - (30\/(-9) - -2). What is n(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - y**3 + 2*y**3)*(y - 4*y + y) + (113*y + 274*y + 120*y)*(2*y + y - 2*y)*(-3 + 3 - y**2).\nAnswer: -503*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 + 29 + (-20)\/4. Let y = -2395 + 12026\/5. Is w > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 259, 54 in increasing order.\nAnswer: -32, 54, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2))\/((-2)\/(-4)). Let v = -2 + y. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-10))\/((-6)\/15) + 11. Solve -s*g = 3*j + 15, -5*g = -j - 10 + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -8886 + 3243. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.507466cm in millimeters?\nAnswer: 25.07466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 + f**2 + 2*f - 2. Determine x(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315*j = 968*j - 20820 for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m. Let w(j) = 46. Let n(v) = 252*v - 31464. Let p(i) = 4*n(i) + 2736*w(i). What is x(p(r))?\nAnswer: -19152*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/207 and -43\/36.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:50 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -8359 in decreasing order.\nAnswer: -0.4, -4, -8359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from nnuninniunjjnnjnnjnn?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16430 - -18194. What is the lowest common multiple of 168 and s?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 1 - 2*v**2 + 3*v**2)*(-2 - 1 + 2)*(1 + 3*v - 1).\nAnswer: -3*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.261 - 0.061. Let b = -3 - -4. Are v and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, d: 2, j: 6}. What is prob of picking 2 d and 1 c?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165242, -330463, -495684, -660905, -826126?\nAnswer: -991347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2499*r + 252 = -2436*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -104.2862235059.\nAnswer: -104.0862235059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5816200 by 89480.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8359 + 32346 = 1236*j - 7502 - 4355 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f**2 - 4*f**2 - 2 - 152*f - 27*f**2 + 18*f**2 + f**3 to a*f**3 + x + s*f + k*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3743 + -4?\nAnswer: 3739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -10, 1, 108 in descending order.\nAnswer: 108, 5, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(432)*1 - sqrt(432)) + 3 - (sqrt(432) + 0 + 5))*3 + -3)**2*-3.\nAnswer: 1944*sqrt(3) + 11907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -1.596.\nAnswer: 3.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419920465 to the nearest integer?\nAnswer: 20492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-312)\/54*-1 + (-16)\/(-72). Solve 5*g - t = -0*t - 10, t - i = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50855960*v**6 + 6867*v**2 + 68*v - 2 wrt v.\nAnswer: -6102715200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 10760471.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7483 divided by 1069\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6248340 divided by 21924.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 459.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -3 (c) 20562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 0.05 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-4*y - 2*y + 3*y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 56350*y**2. Let j(f) = 305*f**2. Calculate r(j(i)).\nAnswer: 5241958750*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and ((-6)\/9)\/2*(-42 + -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.82 + -2.48. What is a rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) - sqrt(900))*4)\/sqrt(9))\/(sqrt(14)\/(3*sqrt(112))).\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2357, 0.2, -5, 1\/4 in decreasing order.\nAnswer: 2357, 1\/4, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 - -200. What is the highest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + c + 2*c)*(-2 + 0 - 1)*(-c + 4*c + 2*c) as y + t*c + x*c**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59290*f + 2\/15*f**3 - 154*f**2 - 22826650\/3.\nAnswer: 2*(f - 385)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26454 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 80. Put k, 0.2, -2\/11, 1 in decreasing order.\nAnswer: k, 1, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 115 + 37. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - c05?\nAnswer: -c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 375029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**2*n))**(5\/3))**(-5) assuming n is positive.\nAnswer: n**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 28*z. Let f(i) be the second derivative of 1\/120*i**5 + 0 - 1\/252*i**7 + 6*i + z*i**6 + 0*i**3 + 0*i**4 + 0*i**2. Let f(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 + 2*p - 29*p**2 - 26*p**2 - 12 + 54*p**2 to the form x*p + n*p**2 + h + o*p**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 404 = 28 - 44 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 935.9828mg in micrograms?\nAnswer: 935982.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 2*t**2 + 3*t. Let a be q(-4). Suppose 4*y + a = 0, -8 = -4*o + y + 5. Suppose -3*k + 4*d = o - 74, 4*d + 92 = 4*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 26*w - 33*w. Put -3, -17, w, -5 in ascending order.\nAnswer: -17, -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 + 32804*b\/7 - 67016235\/7.\nAnswer: -(b - 30615)*(b - 2189)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 >= -19452135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.06 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -12, 5, 8, -2 in descending order.\nAnswer: 10, 8, 5, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/12 - 1\/12. Determine n so that 10\/3*n - q*n**2 - 2\/3 + 8\/3*n**3 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:22 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-18) - (0 + -2). Let r = -0.8 + -0.2. Let f = 0.27 - 0.07. What is the closest to c in f, r, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 856.\nAnswer: -2, 2, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*((-396)\/15)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0053 rounded to 1 dp?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150294880 or -150294879?\nAnswer: -150294879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:53 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4784 and -8\/2249.\nAnswer: 827632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 516.597 - 514.2. Let m = 4.28 - h. Round m to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 15*x**2 + 7*x + 6. Let y be g(-6). Let t = y + 156. Solve -2*n + k = 4, n - 3*k = k + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhujhwv. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 7*g + v, 4*g - 2*v - v - 560 = 44*g - v for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**3 + 172*a**2 - 218*a - 1. Let o(i) = i**3 + 24*i**2 - 31*i. Calculate 2*b(g) - 15*o(g).\nAnswer: 3*g**3 - 16*g**2 + 29*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let y = 102 - 68. Suppose -v*j + y = -6. Solve -4*l = 12, 0 = -u - 4*l - 24 + j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 1885?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-295)\/(-15) + ((-12)\/(-3))\/12. What is the highest common factor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1239, 3451, 9455, 21147, 40423, 69179?\n\"Answer: 316*z**3 + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - x - 72 = c - 164, -88 = -5*c - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (811 + 150 - 551)*(u**5 - 3*u + 3*u).\nAnswer: 410*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2734 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnnfdxg. Give prob of picking 1 n, 1 d, 1 x, and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 12. Let j(t) = t**3 - 5*t**2 - 7*t + 9. Is j(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28768\/(-4176)*(-27)\/6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*z**2 + 70*z**2 - 14*z**2.\nAnswer: 245*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = -2*l. Suppose -9*v - 10 = -11*v. Put v, -3, l, -2 in increasing order.\nAnswer: -3, -2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-4)\/(-8)). Let p be ((-4)\/10)\/((-3)\/15). Sort p, -2, l.\nAnswer: -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 82. Let l(b) = b**3 + b**2 + b. Let f(g) = 19*g**3 - 3*g**2 - 3*g - 16. Let n(c) = s*f(c) - 3*l(c). What is the derivative of n(d) wrt d?\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117571.93400896 + 117390.934. Let u = 181 + h. Round u to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(102) + 3*-1*sqrt(102))*-2)\/(3*sqrt(24) + sqrt(600)*1).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 35 = -4*s, s + 33 - 13 = 5*l. Let q(h) = -h**2 + 5*h + 4. Let o be q(s). Let c(t) = 11*t - 3. Let r be c(1). Solve o*g - r = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 2\/29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/2211 (b) -191 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:22 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 703446?\nAnswer: 703447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985726702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -13. Let j = f - -63. Calculate the highest common factor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*j + 16 = 2*p, -2*p = 5*j + 21. What is b in 48*b**p + 156*b + 3*b**3 - 52 + 78 + 118 = 0?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5445 = -15*d - 765. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19) + sqrt(19))*-1)**2 + -4.\nAnswer: -12*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 2*s - 4*s)*(18*s**2 + 6*s**3 - 18*s**2)*(-3 + 1 + 1) as c*s + v*s**4 + i*s**2 + w + t*s**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34176.54km to meters.\nAnswer: 34176540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 4*i - 35*i - 3*i**2.\nAnswer: -3*i**2 - 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39282 in -3, -11, -0.4, -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81312.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*g + 19 = -0*g, 0 = 2*j - g - 7. What is the greatest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.6. Let n = 0.399912 + o. What is n rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 20*t = -40. Let a be -4 - -27 - (t - -8). Solve 3*q - 2*u = -0*u + a, -5*q + 5 = 4*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*o**2*t + 98*o**2 + 2349*o*t**2 + o*t + 82*o + 2 wrt t.\nAnswer: -13*o**2 + 4698*o*t + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14297 and 485257.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -198*y - 1880 + 3266 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 161?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + (392 - 100\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-3*sqrt(270))\/sqrt(10) + (2 + sqrt(6)\/sqrt(2) + 5*sqrt(27))*5)*-3)**2.\nAnswer: 14058*sqrt(3) + 137196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -78.8. Which is the biggest value? (a) t (b) 7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 930 = 27*l - 81*l. Let u(g) = -g**3 + 6*g**2 - 6*g - 4. Let d be u(6). Let m be 6\/4*d\/(-5). What is the highest common divisor of l and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -128 - 232. What is the closest to -2\/5 in 2, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52640 and 976879960?\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 257 = 20*g. Let d = -7 + 31. Let w be (8\/6)\/(g\/d). Solve -w*n = -3 - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*k + k + 262, -254 = -5*m - 3*k. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.11 - 0.11. Let g = -47 - -46.7. Sort 2, i, g.\nAnswer: g, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)\/y)\/(y\/(y**(-1\/4)*y))*y**(-5)\/y**3)\/((y\/(y\/y**(2\/3)))**(-9\/11)\/(y*(y\/y**(-2\/5)*y)\/y*y)**(2\/7)) assuming y is positive.\nAnswer: y**(-12189\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24668351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 19)*(5 + 13 - 9)*(-3*f - 4*f + 3*f)*(3 + 1 - 3).\nAnswer: -864*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-38)\/14) + (-2658)\/(-42). Suppose -60 = 53*f - m*f. Solve 0 = -3*d + f + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let i(f) be the second derivative of 0 + 4\/3*f**3 + 0*f**2 + 15*f. What is i(j(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 5*l + 2. Let p(g) = -6*g - 3*g + g + 2 - 12*g**2 + 13*g**2. Let i be p(7). Calculate v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49963, 200577, 451841, 803755?\nAnswer: 1256319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(5*7\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/30*-14*32\/(-56)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 12022122?\nAnswer: -12022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 103659660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -23\/12*d**4 + 17\/20*d**5 + 0*d**3 + 0 + 0*d**2 - 6*d. What is the third derivative of v(m) wrt m?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6 - 6 - 7*g**4 + 9*g**2 - 7*g**2 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -701\/2 - -351. Which is the smallest value? (a) 20 (b) -0.06 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*p + 4*n + 27, -4*n = -p + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {g: 1, b: 1, x: 1, i: 1, o: 2, k: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1434 divided by -3.\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 f when three letters picked without replacement from nzbrgbbbzzbgbfffbb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v**2 - 17*v - 59. Determine t(-3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 20*a**2 + 32*a + 6. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/45)\/(24\/(-16)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/5))**(-2\/11))**15*((a\/(a\/(a**(-1\/2)*a)))\/a**0)**8 assuming a is positive.\nAnswer: a**(26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/54)\/((-2)\/(-12)). Suppose 0*x = g*x - 1080. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5653*w + 7159*w - 169879 = 1013 + 34100 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -86*z. Let w(q) = -16*q**2 + q. Calculate i(w(n)).\nAnswer: 1376*n**2 - 86*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.4 + -50.6. Let y = 41 - 11. Let o = k + y. Which is the closest to o? (a) 0.2 (b) -1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = 2*y, y = 3*y - 4. Let q(p) = 18199*p + 1. Let z be q(a). Round z to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 9 - (-2 - 0). Put 2, 3, b in decreasing order.\nAnswer: 3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 10:22 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 5. Suppose 0 = -r - 0*r + 9. Let l be v(r). Is (l\/(-4))\/((-2)\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -33 (b) -4\/3 (c) -0.4 (d) 14 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -84. Let p(x) = 14*x + 10. Is p(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 - 6. What is the remainder when f(7) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (-1 - -1) - 0. Suppose d*u - 78 = 27. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 67, 141, 241, 367?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let m be j(0). Let l be (-3)\/(3\/8) + 2. Let z = -1 - l. Sort z, m, 3 in ascending order.\nAnswer: m, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 5 - 18\/(-4 - -1). Let o be (m\/(-9))\/(1\/(-9)). Solve 8 = -o*v - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17132090047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 5*d**2 + 4*d**3 + 2*d - 2 + d**3 - d**2. Let j be b(-2). Suppose -3*l + 5*q = -21, j = -l - l - 2*q. Which is smaller: l or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 19)*(6*w**3 - w**3 - w**3).\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024421 (base 5) in base 2?\nAnswer: 1000000101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -24. Let w = 206 + d. Is 52 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:09 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeiieieee?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667896337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1580 - -10321. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13318 + -13318. Which is the third biggest value? (a) -4 (b) -2 (c) 11 (d) r (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 206 + 174. Suppose -2*i + n = 3*i. What is the highest common divisor of i and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/8616 and -143\/20976?\nAnswer: 7530384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21\/449 + 21670\/12123. What is the common denominator of 56\/11 and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(1*sqrt(12)))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -313055?\nAnswer: -313056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007372 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -12*l. Let t(u) be the second derivative of u + 0 - 1\/42*u**7 - 1\/10*u**6 - 3\/20*u**5 + l*u**2 - 1\/12*u**4 + 0*u**3. Solve t(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6d88 (base 16) in base 13?\nAnswer: -24a71c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*f + 3*f + 118, f + 4*s = 158. Let j be (-195)\/(-65) + 3 + 0. What is the highest common divisor of f and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1606049*q**2 + 1791845.\nAnswer: -3212098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -136278.21933 to the nearest 10.\nAnswer: -136280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Let n = -0.24 + -3.36. Let j = -1.4 + n. Which is the second biggest value? (a) 3 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4836, 9675, 14512, 19347, 24180, 29011?\n\"Answer: -a**2 + 4842*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c62 (base 16) in base 9?\nAnswer: 47610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 8*z - 7. Let w be t(6). Solve a + 16 = 4*d - d, w*d = 4*a + 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/15456094 and -56\/49293?\nAnswer: 139104846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3) + (1 + -6 - -11). What is the second derivative of 38*o**5 - 5 - 18*o + 20*o - n*o**4 + 4*o**4 wrt o?\nAnswer: 760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61427277955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let i(v) = -v. Let r be i(-1). Let g = -193 + 192.9. Put r, g, j in descending order.\nAnswer: r, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*j - 10*j + 56*j as o*j + i and give o.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -58. Solve 4*u = -2 - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*i + 26 - 37 = 0, x - 11 = -3*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 38. Suppose a*j = 14 + 394. Suppose 0 = h - j + 315. Round h to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -54*r**2. Let w(i) = 48*i - 1. Determine w(n(a)).\nAnswer: -2592*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*t**3 + 28*t**3 - 46*t + 27*t**3 + 2*t**3 wrt t.\nAnswer: 228*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12019*o**2 - 23935*o**2 + 11925*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.7. Let b = 3 - 2.5. What is the nearest to o in 3, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 5572428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdgqdgqnmzgnnmnqqnqg. Give prob of picking 1 d, 2 g, and 1 z.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23 - -30)*(2 + -219). Round o to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 13. Suppose m = 4*r + 5*g - 1, -2*r = -2*g - 10. Sort 12, 0, r.\nAnswer: 0, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.547, -0.2, 11, 36, 17 in descending order.\nAnswer: 36, 17, 11, -0.2, -0.547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3875.0000499 + -3875. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 3)*(-1 + 2 - 3 + (-3 + 5 + 1)*(3 - 3 - 3))*((0 - 2*l + 0)*(-3 + 2 + 0) + 0*l + 0*l + l - l + 0*l + 3*l).\nAnswer: 275*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.715243, -3, -1\/4 in decreasing order.\nAnswer: -1\/4, -3, -5.715243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(99)*-6)**2 + (sqrt(77)*3)\/sqrt(7).\nAnswer: 4*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/13 + 174*s**2\/13 + 664*s\/13.\nAnswer: 2*s*(s + 4)*(s + 83)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - (2 - (-7 - -5))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 333 = 2*y, -2*y - 5*h + 114 = -259. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 45*s**3 + 51*s**2 + 45*s - 48.\nAnswer: -3*(s - 1)**2*(s + 1)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1 - -1350?\nAnswer: 1372.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 0.022374.\nAnswer: -0.581724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.626101 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37806997291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 - t + 1. Let f be q(-5). Let p be (20\/6)\/(4\/f). Solve 3*h - p = 2*o, 0 = 3*o - 6*o - 5*h + 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 37 + (-3 - (11 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1 + sqrt(700))*4*-3)**2 + 1).\nAnswer: -403780 - 11520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532505 is divided by 1766244.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let s = 1.545 - 1.164. Let h = -5.381 + s. Which is the biggest value? (a) q (b) h (c) 4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15189?\nAnswer: 3, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6*f = 3*f. Solve 3*j - 7 = -o, f = -3*o - j + 15 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69457 is divided by 2484?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127871434 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.74 greater than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0 - 3 - 10*j**2 + 0*j - 4 + j**3 - 14*j. List the prime factors of v(12).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -193.98, -2\/9, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 815134 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjgcz. Give prob of picking 1 c, 1 g, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 16992564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + -3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300)*1 + -4) - sqrt(300) - sqrt(300) - (-2 + sqrt(300)*2)) + 4)**2.\nAnswer: -800*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 5. Let c be (2\/6)\/(3 - 196\/66). Suppose 0*p - c*p = -55. Let f(k) = k + 1. Give p*f(r) + t(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -74*f + 215. What is o(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513642461 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 13 = 4*f, -325*c + 0*f = -328*c + 5*f - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(605) + 1.\nAnswer: -11*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*r + 51072, -4*r + 5*l + 22836 = -79304. What are the prime factors of r?\nAnswer: 2, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k - 39. Let x be 66\/11*(2 + -3). Let b be j(x). Find the third derivative of -40*v**3 - 11*v**2 + 24*v**b + 32*v**2 wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5500, -11094, -16678, -22246, -27792, -33310?\nAnswer: -38794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, -9 in decreasing order.\nAnswer: 5, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 11, 3, -2, 5 in decreasing order.\nAnswer: 11, 5, 3, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -122*p**2 + 1270*p - 375. Determine n(10).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.59 (b) 1\/4 (c) 1 (d) 0 (e) -1 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2325 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22024 divided by -5506.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*(60\/(-40) - (-224)\/35)*(-1)\/7\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/3))**(19\/6)*(((a*a**3)\/a*a)\/a)\/a**(1\/5) assuming a is positive.\nAnswer: a**(347\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 4*b. Let a(p) = -p**2 - p. Let z = 9 - 3. Let f = 4 - z. Let n(v) = f*a(v) - x(v). What is the second derivative of n(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/120 - v**5\/30 - v**4\/8 - v**3\/3 - v**2. Let j be d(3). Suppose -5*m - 6 - 4 = 0. Is j >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -134. Let i = u - 45. Calculate the remainder when 43 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 5*a + 8. Is 7 a factor of s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**4 - 56*u**3 + 588*u**2 + 5488*u - 38416 = 0.\nAnswer: -14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 16) to base 15\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36 + 6.84. Let y = 7 - q. Which is the biggest value? (a) -2\/7 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19269 and 44?\nAnswer: 847836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40444404?\nAnswer: 2, 3, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - p**3 + 1 - 3 + 1 + 6 + 4*p. Let u be a(5). Does 5 divide 95\/5 - (u + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 9 (b) 1\/6 (c) -0.168 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 15*z + 42.\nAnswer: -3*(z - 7)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -110966349?\nAnswer: -110966356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -2, -0.4, 7051.59.\nAnswer: -2, -0.4, 8\/7, 7051.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12105 - -17747. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/7605 and -51\/564460?\nAnswer: 5080140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 192. Calculate the remainder when c is divided by 16\/6*(-132)\/(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13050 and 9976?\nAnswer: 2244600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 193197235 to the power of 1\/2, to the nearest integer?\nAnswer: 13900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -41, -2 in descending order.\nAnswer: -2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z + 27. Let m be n(0). Let b = -15 + m. Let x be (11 - b)\/(1\/11). Is x at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - x**3\/6 - x**2 + x. Let q = 9 - 6. Suppose 7 + q = -5*w. Calculate m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311900905?\nAnswer: 5, 113, 263, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268793263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**3 - 31*f**3 + 64*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Suppose c = -4*a - 0*f + f - 17, 4*a - 3*f = -27. What is the units digit of (-84)\/(-9) + a\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = 5, j = -y. Suppose j*b - 4*r + 15 = 0, -b + 6 = 2*r - 5. Solve -2*h = -h + b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t - 25\/3*t**3 + 38\/5*t**5 + 0*t**4 + 0*t**2 - 35. What is the third derivative of z(b) wrt b?\nAnswer: 912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/((-3)\/(-1) + -2). Which is greater: o or -53\/5?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52905*i**4 - 18*i**3 + 1586*i + 292 wrt i.\nAnswer: 634860*i**2 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -57, -16\/9, 2\/13, -0.9, 7?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 25. Let z be c(10). Let h(i) = 30*i - 10. Let v(s) = -20*s + 7. Let a(f) = z*h(f) + 7*v(f). Find the first derivative of a(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164652, -164564, -164476, -164388?\nAnswer: -164300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u**4 + 224*u**3 - 156*u**2 + 32*u - 2 = 0.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 5*r**2 + 65*r - 6. Calculate o(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, 32, -19.\nAnswer: -598, -19, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 1\/6*j**3 - 1\/168*j**7 + 0 - 14*j + 1\/30*j**6 - 1\/80*j**5 + j**2 - 5\/24*j**4. Factor b(n).\nAnswer: -(n - 2)**3*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -90, 3, -2586, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) -9 (d) 1\/18 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729 = -13*d + 755 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/67)\/((s\/s**(-39))\/s)*(s\/(s*((s\/((s**(-25)*s)\/s))\/s)\/s*s))\/s*s*s**(-2\/63) assuming s is positive.\nAnswer: s**(-270152\/4221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/36*-3*(17136\/34)\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 12202000?\nAnswer: 12201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*o + 134*o - 114 = 158 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 6 = 0. Suppose 3*o = -5*x + o - 4, 8 = 4*x - 4*o. Suppose -4*q = v*y, x*y - 5*q = -y. Is -1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*g - 108 = 0, -3*f - g - 39 = -5*f. Solve -f*n + 13*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 2 - (-45 + 35)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**3 - 144*c**2 + 144*c**2)*(c**2 + 0*c + 0*c) - c**5 + c**5 + c**5 + (-2*c - c + 5*c)*(-c**4 - 3*c**4 + 2*c**4) - 2*c**5 - 3*c + 3*c.\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -1439364.\nAnswer: 5\/359841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 47 = -26, 0*n - 3*n - 4*v + 42 = 2*n - 3*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - (74\/(-3) - 2))\/((-1)\/39). Sort j, -1\/3, -1\/7, 0 in descending order.\nAnswer: 0, -1\/7, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2327, -4486, -6643, -8798, -10951, -13102, -15251?\n\"Answer: d**2 - 2162*d - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/60*(-377)\/(-26)*-10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -5. Suppose -4*w = 2*x - 114, 3*w + 2*x = -x + 81. Calculate the smallest common multiple of c and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 127276005?\nAnswer: 1\/42425335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let x(d) = -10380 + 51*d + 10380. Calculate x(o(b)).\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -36, -3, -11.\nAnswer: -36, -11, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*w. Suppose -4*i + 1 = -3*p, -2*i + w*i = 3*p + 13. Let h be (4\/26)\/(i\/(-14)). Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6508565525 and 2825.\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 165 (c) -3\/4 (d) -1 (e) 58 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) 11 (c) 2\/9 (d) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*b + 5*y - 199568 = -215*b, 0 = 4*b - 2*y - 266134. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*d - 61 = 0, 5*j - d + 115 = 4*d. Let p = -49 + 34. Let c = p - j. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkcffzfpffpcfppfpk. Give prob of sequence ck.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -21*n - 1. Let i(a) = 71*a + 91. Determine -i(s) - 7*z(s).\nAnswer: 76*s - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*d = -52, -r + 15 = -d - 4*d. Suppose 0 = 3*x + 16 + 11. Calculate the lowest common multiple of r and (x\/(-6) - 0)*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(2\/(-8))*699\/(-4194)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13383276 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 8. Is 3 a factor of -2 + 0 + 1 + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128, -130, -132?\n\"Answer: -2*a - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10812473690 + 1\nAnswer: -10812473689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3783 + 4266. What is the greatest common divisor of 115 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -23, -16\/7, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/88)\/(-1))\/(3\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88 + 34 - 34)*(4*r + 0 + 0) to the form t*r + u and give t.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d + 98. Let f(y) = 8*y + 99. Give -3*f(t) + 2*p(t).\nAnswer: -4*t - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -415*x**7\/21 + 571*x**3\/6 + x**2 + 78*x - 4. What is the second derivative of f(g) wrt g?\nAnswer: -16600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15*c**3 + 4*c**2 + 5*c - 2. Give g(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3 + 4627*p**2 + 42061*p.\nAnswer: -36*p + 9254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265 - 251 + 516 + 119*p.\nAnswer: 119*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:11 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 4. Let r be z(-3). Let g be -1 + -1 - 2684\/(-1353). Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.0274?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.5 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106a - 45?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 5*i**8\/112 + 3*i**5\/5 + 29*i**2. What is the third derivative of w(y) wrt y?\nAnswer: 900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -31. Suppose 6*s - 194 + 2894 = 0. Let i = s + 454. Solve 4*n = -5*k - x, 5*k + 20 = -n - i*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 20, -21 = 116*b - 119*b - 3*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3077 (base 11) to base 12\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/w*((w\/w**(-2))\/w)\/w)\/(w**1\/w)**(-3\/17) assuming w is positive.\nAnswer: w**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139839 - 139833 + 279672 + 10*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1010 and 606.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 11*d + 1. Let y(b) = -2*b**2 + 13*b + 2. Let m(o) = -6*t(o) + 5*y(o). Let j be m(0). Solve -j*g + 3*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 350298?\nAnswer: 3502980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-5) + (-12)\/30. Solve 0*o + p*o = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 2)*(-10*o**4 + 92*o**4 + 8*o**4) - 13*o**3 - 27*o**4 + 13*o**3 to the form p*o**2 + s*o**4 + d*o + z + k*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l**(1\/4)*l)**(1\/5))**(9\/4) assuming l is positive.\nAnswer: l**(9\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 17*m = 105. What is the nearest to 0.05 in -0.1, -4, 5, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-574)\/246*10\/(-7)))\/(33\/(-5))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778049461 to the power of 1\/2, to the nearest integer?\nAnswer: 52707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 32*i**2 - 5. Let q(h) be the first derivative of -555*h**3 + 259*h + 6065. Determine -5*q(m) - 259*s(m).\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 84218, 84011, 83804, 83597?\n\"Answer: -207*c + 84425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1821 - 467. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + 1 + -2 - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1386 + 2334. What are the prime factors of f?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3873*w**3 + 5*w - w - 4*w.\nAnswer: 3873*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 7. Let p be x(3). Suppose 4*m + 640 = -m. Let l be m\/(-6)*21\/p. What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -638 divided by -58.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6143153\/5 less than -1228632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1398*s + 1169*s + 5164 - 2187 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121484 + 32*r**3 + 121484.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*l = 2, 2*r - 3 = 5*l - 14. Suppose -4*b = -m - 2*m + 9, 6 = 2*m + r*b. What is the highest common factor of 4 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 93, 100, 109, 120, 133?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2029 and -1.1.\nAnswer: -2030.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(3*6\/(-144)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 11*a = 11*a - 1152 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1874 divide 45830544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15 = 2*s, 0 = -2*s - 20*i + 21*i + 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s - 1. Let a = -14 + 19. Suppose -2 + a = -l, -b = 4*l + 9. Suppose b*f - 2 = -2*u, -u = -4*u + f - 8. Give o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5848525 is divided by 487374.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*i - 18, -5 - 11 = -2*y - 5*i. Let x be 0 + (0 - y) - 3. What is the units digit of (x + 8)*(-2 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2 + -1) + -1 + 2. Which is the nearest to y? (a) 5 (b) 0.08 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 9*c - 4. Solve c*j - 18 = 5*p, 0*j - p - 6 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyfffflf. What is prob of sequence fffl?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 - j**2 + 5*j + 7. Let n(k) = -k**3 + k**2 + 1. Let c(p) = 5*n(p) - s(p). Determine c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 2 in increasing order.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*c*s - 1388*c wrt s.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 6*u + 3*u**2)*(4*u + 0*u - 2*u) - u**3 - u**3 + 4*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohhoohbbh. What is prob of picking 1 o and 1 b?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 53*c - 74. Let u be v(-21). Let t = u - -1805. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-88) - 411\/274\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19311649?\nAnswer: 7, 2758807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.07 + -0.21. Let a = 0.946 - g. Let m = -0.0924 + a. What is m rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483116120 to the power of 1\/3, to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 338, 2\/7, 4, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + 5)*(-630)\/58926 and -27\/46.\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -0.02, 6, 2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.1, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d + 2*z - 6, -4*d - 5*z = -3. Suppose 2*c - 3*i - 31 = 0, -d*c - 2*i + 0*i + 16 = 0. Solve -4*a - m = 2*m, -3*a = 5*m + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*p - 12 = -87*p. Let c(n) = -n**2 - 2*n - 4. Let v(u) = -2*u**2 - u - 4. Let q(z) = p*c(z) + 2*v(z). Suppose g - 3*g = -8. Calculate q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9968 is divided by 273?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.037 - 9.037. Put 2, u, 391 in ascending order.\nAnswer: u, 2, 391","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1487 + 1492. Let h(w) = 10*w + 6. Let b(c) = -3*c - 2. Let l = -2 - -2. Let z be (-56)\/(-4) + (2 - l). What is r*h(f) + z*b(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**2 + 5 - 5*v**2 + v**2)*(481*v - 445*v**3 - 481*v).\nAnswer: -890*v**5 - 2225*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -725*a**3 - 20*a**2 + 11*a. Let i(b) = 363*b**3 + 10*b**2 - 5*b. Give -11*i(o) - 5*j(o).\nAnswer: -368*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 101*h**2 - 13477*h + 5856. Determine r(133).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(672\/7)*((-16)\/55)\/((-1170)\/429).\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/2 - 463*w\/2 + 232 = 0?\nAnswer: -464, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**2 - 6*f + 7. Let b be (4 - 2)*2 + 5. Let h(g) = -13*g + 128. Let w be h(b). Let x(r) = 13*r**2 - 11*r + 13. Give w*c(k) - 6*x(k).\nAnswer: -k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 3. Let t(h) = -2*h - 5. Let f(n) = 3*t(n) + 5*y(n). Let m(o) = -273*o + 6. Let s(i) = -163*i + 3. Let x(p) = 3*m(p) - 5*s(p). What is f(x(l))?\nAnswer: 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1452 and 2280?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 6. Let m be p(-12). Let v be (1 - m\/(-4))*-6. Solve -v*t + 2*t = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10366352 (base 7) in base 5?\nAnswer: -211444422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -3\/29, -0.03, 3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8316 and 2104236?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (4 - 8) - 2 - 1. Sort g, 3\/8, 0.03 in decreasing order.\nAnswer: 3\/8, 0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Differentiate 7*p + 19*p - 10 - 11*p wrt p.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 161 - 201. What is the highest common divisor of 100 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3879?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144529216 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104c3b0 (base 14) to base 10.\nAnswer: 7716870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:25 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.6277 rounded to zero decimal places?\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 32729 - 14742 + 3710.\nAnswer: -j**2 - 43761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-264))\/((-49)\/(-441)) - 47250\/385?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseseeeeeseeeeeseee. Give prob of picking 1 s and 1 e.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310348924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1303\/510 - -19\/170. Let v(u) be the first derivative of -1\/5*u**5 - 5\/4*u**4 + 12 + 0*u - l*u**3 - 2*u**2. Factor v(f).\nAnswer: -f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x*z**3 + x*z**2 + 6*x + 6*z**3 - 60*z wrt x?\nAnswer: 2*z**3 + z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3*80\/(-240). Let f be ((-2858)\/(-18) - y) + (-52)\/(-234). What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 2) + (-1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1436 and 10.33515.\nAnswer: 10.19155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -23*f - 1\/132*f**4 - 2\/33*f**3 + 0 - 2\/11*f**2. Determine t, given that j(t) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 345 + -344.977. Let r = a - 0.02300138. What is r rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**3 - 4*n**3 - 11 - 26*n - 2*n**2 + 26*n.\nAnswer: 36*n**3 - 2*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5709, -9259, -15183, -23487, -34177, -47259, -62739, -80623?\nAnswer: -100917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35 - 35) + 27)*(-1)\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1659664 and 3?\nAnswer: 4978992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.03, 16\/103, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 429136 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g**4 - 1\/90*g**5 - 8*g**2 + 0 + 0*g**3 - 1\/72*g**6 + 0*g. Suppose k(t) = 0. What is t?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, -0.7, 3, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1018*f**3 - 18*f**2 - 6*f - 7. Is s(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -6*(-6)\/9. Let k(d) = -1. Let y(n) = -n**3 + 2*n**2 - 2*n - 3. Let g(o) = -4*k(o) + y(o). Let j be g(1). Solve j = -4*m + s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040594107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3 (b) 1\/5 (c) -0.0158 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 130*n - 1054. Let m(k) = -58*k + 527. Calculate 9*m(i) + 4*q(i).\nAnswer: -2*i + 527","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4427355 * 33\nAnswer: 146102715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22908 divided by -498.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101.9 - 132. Let m = 30 + j. Which is the smallest value? (a) m (b) 4\/7 (c) 2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 8:08 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**2 + 8*b + 12. Let p(z) = -86*z - 2 + 172*z + z**2 + 1 + 2 - 85*z. Give -j(k) + 10*p(k).\nAnswer: 16*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063615 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: Expand (0 + 0 - 2*p)*(-6 + 7 + 1) - 120*p + 138*p - 116*p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/18380912 and 61\/484?\nAnswer: 202190032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddu when four letters picked without replacement from {j: 1, d: 5, y: 3, h: 3, u: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**(-4\/3)\/o*o)*o)\/o*o)\/(o**(-4)*o))**34)**(17\/2) assuming o is positive.\nAnswer: o**(5491\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-63)\/(-6))\/3 - 18\/12. Let t be o\/(-1) + 9 + (-18 - -14). Solve 16 = 4*n + 5*z, 5*n = t*z - 8 - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -40 (c) -0.2 (d) -1937 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(32\/7)\/((c*c*c**(-10)*c)\/c*c*c**(-14)))**(-1\/40) assuming c is positive.\nAnswer: c**(-671\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 93462.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 874, 1969, 3502, 5473, 7882?\nAnswer: 10729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 2312397?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 16*o**3 + 9 - 7 - 2*o.\nAnswer: -16*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.52 + -2.82. Which is the fourth smallest value? (a) -0.2 (b) 0.14 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from vgggvgvvvvggvvgvggv.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 10 = 0. Suppose -3*j - 935 = 2*b, -61 + 1661 = -5*j + 5*b. Is ((-8)\/s)\/(7\/j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnonoonnonnonoonnoo.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 0 - 2 - (3 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*d**5 + 6915*d**4 + 3080*d**3 - 292140*d**2 + 115920*d = 0. What is d?\nAnswer: -276, -7, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39262.9986 + -39251. Let b = x - 12. What is b rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -253*i + 4199642 + 390393. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f - 468. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4690 - -4904. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 20. List the prime factors of c(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 1\/5, 1\/6 in increasing order.\nAnswer: -2\/13, 1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + sqrt(1584))*-3.\nAnswer: -6 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057))*3 - (sqrt(2057)*2 + 1) - (sqrt(2057) + -2 + sqrt(2057)*-1 + -3))**2 + -3.\nAnswer: 22*sqrt(17) + 2055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.19 + -31.2. Let g = -5 - -4.99. Let d = g - h. Which is the biggest value? (a) d (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8036, 17884, 34292, 57254, 86764, 122816, 165404?\n\"Answer: -g**3 + 3286*g**2 - 3*g + 4754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 - 28833*j**4 + 403179*j**3 - 1007535*j**2 - 1439550*j = 0. Calculate j.\nAnswer: -1, 0, 5, 10, 9597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(0 - 2 + 0)*(-864*w - 2276*w - 1355*w) to j + k*w and give k.\nAnswer: 8990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 11*c - 96. Calculate the remainder when 54 is divided by (0 + 58\/3)*(-24)\/c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 81. Suppose -3*c + x = -12. What is the remainder when ((-208)\/(-24))\/(1\/6) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -28*q**4 - 92*q**3 - 24*q**2 = 0?\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (51\/78 - (-10)\/(-65))\/((-40)\/5008). Is -63 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7078178 to 2 dps.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + 17*j**2 - 51*j - 31. Let a(s) = 13*s**3 - 53*s**2 + 165*s + 93. Let q(b) = -3*a(b) - 10*f(b). Calculate q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c**2 - 13*c - 4. Is k(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-56)*(-651)\/(-10323)*2.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163967\/3 - 55503. Are -846 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -431, -439, -447?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/3 and -15\/556.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50555*a + 30 = 50585*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b**4 + 26*b**4 + 7*b**4 + (2 - 2 - 2*b)*(-1 - b**3 + 1).\nAnswer: 44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58450.3 weeks to minutes.\nAnswer: 589179024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j - j + 4*j)*(4*j + 5*j - 5*j) + (-2 + 0 - 7)*(-2*j**2 + 4*j**2 - j**2) to u*j**2 + d + x*j and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*-74\nAnswer: 96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f + 191\/3*f**3 + 131 + 0*f**2 - 7*f**4. What is the third derivative of v(m) wrt m?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 106. Let h(q) be the second derivative of -q**3\/3 - 106*q**2 - 23*q. Let t(m) = -6*h(m) + 11*n(m). What are the prime factors of t(0)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12162, -48659, -109472, -194589, -303998, -437687, -595644?\nAnswer: -777857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1775 = 4*p + 5607, 4*p = -q - 3822. Let w(t) = 1365*t**3 + t + 1. Let u be w(-1). Let j = p - u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 - -17 - (15 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*n = 22, -4*n = 4*j - 34 - 14. Suppose -2*r + 2*b = 3*b - j, 3*b = -r + 15. Solve -2 - 4 = -r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12627239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 + 0 = 0. Let w = -0.2 + 0.3. Let r = 23\/38 - 153\/190. Which is the nearest to r? (a) f (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 107*y = -198*y + 107*y + 93, 3*y + 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*g + 0 + (-5 + 3 + 1)*(2 + 2*g - 2))*(-2*g**2 + g**4 + 2*g**2).\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -931 + 931.1. Which is the biggest value? (a) -2.3 (b) 4 (c) -0.1 (d) q (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let b(r) = r + 562. Calculate u(b(m)).\nAnswer: -m**2 - 1124*m - 315844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48127 - 1265 = 686*r for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(4) + sqrt(64) + sqrt(4)))\/sqrt(12) + -1*sqrt(98)*2)**2.\nAnswer: 6889\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14133315 is divided by 557?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x**2 - 58*x + 65. Let i(n) = -6*n**2 - 40*n + 42. Give 8*i(p) - 5*j(p).\nAnswer: -3*p**2 - 30*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-24))\/((-3)\/(-18)))\/((-993)\/(-86060))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2. Let a(w) = -17*w - 19. Let r(c) = -17*c - 16. Let j(o) = 3*a(o) - 4*r(o). Calculate t(j(d)).\nAnswer: 2023*d**2 + 1666*d + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 35a?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 158, 294, 426?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 - -137.89. Let k = 136 - y. What is the third smallest value in k, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 875\/48 or 0.038?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -67*p**3 - p**2. Let y be j(1). Let x be (1 + 4 + 1)*-11 - (-12 - -15). Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/4)\/(11 + -9) + 8.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2 - 574*d - 102703. Give q(-74).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let l(m) be the third derivative of m**4\/8 - m**3\/2 + 3*m**2 + 3. What is u(l(a))?\nAnswer: -6*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464.1034 - 464. What is t rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -929302, -1858503, -2787606, -3716611, -4645518, -5574327?\nAnswer: -6503038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 427 + -297. Suppose 2*s + s - n = 5*x, -4*s = x - 204. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfffj. Give prob of picking 2 f and 2 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/3 - 2626720*s**3\/3 - 862444111100*s**2\/3 + 2874879372000*s - 7187253153750 = 0.\nAnswer: -656685, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - (-55)\/(-10)) + 90\/140. Which is the closest to k? (a) 1\/3 (b) 5 (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -4*c**3\/3 - 2. Let z(m) = -5*m**2 - 4*m**2 + 7*m**2. Give z(g(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -947 - -948. Suppose 3*c + 1 = 10. Let d be 1\/((-3)\/(c*-7)). What is the greatest common factor of y and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 147 = -5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17371, 17387, 17415, 17455, 17507, 17571, 17647?\n\"Answer: 6*i**2 - 2*i + 17367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4 - 16*a - 15*a + 30*a. Let h be -1 + -1 + (-2)\/2. Let c(v) = -2*v - 9. Let x(k) = h*c(k) + 7*d(k). What is x(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/19, 5, -2, 1\/2, -0.6 in increasing order.\nAnswer: -2, -0.6, -1\/19, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365112 divided by -12.\nAnswer: 30426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*d - 312*d - 35*d**2 + 17*d**2 + 114*d in the form s*d**2 + o*d + f and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/8, 92, 2, -0.02, 3934 in descending order.\nAnswer: 3934, 92, 2, 15\/8, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(0*l - l - l) + 0*l + 6*l - 5*l)*(1 - 1 - 1 + (-3 - 2 + 2)*(2 - 2 - 1) + 3 + 2 - 4).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.1, -53, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let b(f) = 7*f**2 + 6*f - 5. Let d(z) = -4*z**2 - 4*z + 3. Let a(j) = 3*b(j) + 5*d(j). Let c(t) = 2*t**2 - 3*t. Give q*a(x) + 3*c(x).\nAnswer: 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p**2 - 2. Suppose 0 = -0*x + 7*x - 504. Let v(l) = -24*l - 23*l + x*l - 29*l. Determine v(j(y)).\nAnswer: -44*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 523, 1187, 1973, 2881, 3911, 5063, 6337?\n\"Answer: 61*t**2 + 481*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {z: 7, l: 3, g: 2, p: 5}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/3 and (-6)\/(-2 - 1)*35\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-78)\/(-2457))\/(15\/((-945)\/(-6))))\/(1\/120).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2497*r + 1009. List the prime factors of a(-9).\nAnswer: 2, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 2, d: 5, n: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))\/n*((n**(-3)\/n)\/n)\/n)**(1\/39)*n**(-1\/4)\/(n*n\/(n\/n**(-2\/5)))*n**(-3\/7)\/(n*n*(n*n*n**2)\/n*n*n*n*n) assuming n is positive.\nAnswer: n**(-4387\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*s = -29, 0 = 5*m - s - 6 - 4. Let j be ((-11)\/(-4) - m) + 18698\/8. What is the common denominator of 2\/(-7) + (0 - j\/126) and 35\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3\/7 (b) 22\/161 (c) 7 (d) 36 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*r + 43 = 0, -5*t + 20 = 8*r - 59. Factor 1\/5*v + 0 + 1\/5*v**t + 2\/5*v**2.\nAnswer: v*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 239*k**2 + 2*k + 147. Let v(x) = 480*x**2 + 4*x + 244. Give 5*d(u) - 3*v(u).\nAnswer: -245*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:09 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 3500 = -4500. Let i = 4158\/13 - n. What is the closest to -1 in i, 3, 1\/6, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*b = -515*b - 87. Solve -5*a + 19 = 3*i + 29, 2*i - b*a = 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 380478 or 380473?\nAnswer: 380478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156887.\nAnswer: 3, 191, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (133\/(-57))\/(133\/(-285)). Solve -2*q = -9*r + 14*r + 3, -3*r - j = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12211 + -12209. Solve 4*n = c*y - 18, -3*n - y = 13 - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 30 - 30)*(-2 + 9 - 13)*(22 + 79 - 4) as i*l + o and give i.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v**(1\/5))**(8\/5) assuming v is positive.\nAnswer: v**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b83395 - 0?\nAnswer: 4b83395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -4*b**3\/21 + 2*b**2\/7 + 4. Suppose j(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2. Let p(h) = 62750*h. What is a(p(o))?\nAnswer: 23625375000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 115 + (10 + -6)\/(1 - -1). Find the first derivative of b - 5*n**3 - 51*n**3 - 9*n**3 wrt n.\nAnswer: -195*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -31*x + 46. Suppose 36 = -5*u - 19. Let s(t) = 6*t - 9. Let v(h) = u*s(h) - 2*z(h). Find the first derivative of v(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -5 - -17 - (25 + -24)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i = 228 - 40. Let t(c) be the second derivative of 7*c + 0*c**2 + 0 + 1\/3*c**i + 1\/20*c**5 + 0*c**3. Let r(q) = q**2. What is -4*r(g) + t(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 515.698 and -5?\nAnswer: -2578.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -977202\/5 + 2796\/5*t - 2\/5*t**2 = 0. What is t?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -6*o**5\/5 + 10*o**3\/3 - 9. What is the third derivative of q(l) wrt l?\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 22*u = 867 - 1210 - 1217 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let u = -3.7 - -2.7. Which is the third biggest value? (a) k (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jebebbjibbjsvbv. Give prob of sequence ivse.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -9, -0.5, -2, 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:03 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011132 (base 5) in base 2?\nAnswer: -10011010001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4)*l\/l**(-6)*l)**(-1\/42)*(l**(2\/5))**(-2)*(l\/l**1)**(-45) assuming l is positive.\nAnswer: l**(-233\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -184?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0433? (a) -3 (b) 30 (c) -14 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-144)*-9*15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -80926.\nAnswer: -24277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (19 + -2)) + (20 - -73).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + 553*n**2 + 871*n + 264*n**2 + 1 - 294*n - 288*n - 290*n as g*n**2 + m*n + i + c*n**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*w + 2047*w + 266*w.\nAnswer: 2064*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avvc when four letters picked without replacement from savsvvvaavcxvv.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 10. Let u be c(6). What is the tens digit of ((-3)\/((-12)\/(-130)))\/(u\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51175, 409435, 1381857, 3275521, 6397507?\n\"Answer: 51180*t**3 + t**2 - 3*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -25*u - 594. Let h be g(-24). Suppose -h = -t - 1. Let b be (1 - -1)*(-2)\/(-4). Solve -t = -4*z - b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15562, 31111, 46658, 62203?\nAnswer: 77746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16589 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101108 is divided by 842?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 164*s. Let m(t) = -2*t**2 - 3*t. Let r(a) = 69*a**2 + 99*a. Let g(k) = -330*m(k) - 10*r(k). Calculate z(g(p)).\nAnswer: -4920*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1906 (base 12) to base 13.\nAnswer: 14c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3767526845 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**5 - 9*d**5 + 2*d**5 + (2*d - 3 + 3)*(5*d**4 - 3*d**4 - 3*d**4).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - w + 12 = -3*w, 2*t - 3*w + 6 = 0. Let r be 0 + t\/3 + 3. Sort r, -5, -2 in descending order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (14 - (7 + (2 - 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxgwakkkkxkg. Give prob of sequence awk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 + 192.6. Let x = v - 11.5. Let f = -9 + x. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q. Let h(a) = 38*a + 7 - 7 - 51*a. Give n(h(d)).\nAnswer: 91*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -13. Which is the fourth biggest value? (a) o (b) 1 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - (-126)\/35. Suppose -5*u + u + m = -17, 2*u - 26 = d*m. Suppose -4*s - u = -11. Put -1, s, -2 in increasing order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a - 10. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1487 + 1564. What is the remainder when 219 is divided by p?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 + 2*h + 1. Let b(s) = s**3 - 7*s**2 + 4*s + 2. What is -3*b(n) + 7*v(n)?\nAnswer: 4*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909579 is divided by 977.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)\/(a*a**(1\/7)*a))\/(a**26*((a**(1\/7)*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-3) - (27 + -35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123052668181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/11 - 8*c**2\/11 + 331*c\/11 - 322\/11.\nAnswer: -(c - 14)*(c - 1)*(c + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {d: 5, t: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 3*g**2 - g - 1. Determine k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199200 = 125*n - 113*n. Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(3\/8)*c\/(c*c\/c**(1\/2)*c)*c**(-1\/5)*c assuming c is positive.\nAnswer: c**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/5)\/z)*z)**41*z**7*z*z**(6\/7) assuming z is positive.\nAnswer: z**(4902\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 6:20 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -3463*l**6\/60 - 2123*l**3\/2 - 4*l**2 - l + 20. Differentiate m(c) wrt c.\nAnswer: -20778*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -25, -134, -339, -670, -1157, -1830?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11301389*b**3 + 14*b**2 - 68*b + 949.\nAnswer: -67808334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, f: 11, q: 1}. Give prob of picking 2 f and 1 x.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-18))\/((115\/120)\/(-23))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/880)\/((-54)\/1296)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 462796153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-27))\/(2\/9))\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 10 - (3 - 8 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.18 + 1.253. Let m = v - 0.073016. What is m rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 + n. Let l be g(1). Let p = 0.39 + 0.01. Let w = 1079.5 - 1087.5. What is the closest to 0 in w, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*s + 5*t + 340, s - 2*t = 93. Is 5 a factor of (62\/s)\/(1\/633)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000451769 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - (-4 + 2). Let k = 10 + -7. Let f(z) = 1 - 2 + k*z + 0*z + 0*z. What is f(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-48) - (-1)\/8. Suppose -t - t + 4 = b. Does 6 divide (t\/(-4))\/((-7)\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40106 times -2?\nAnswer: -80212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -0.872, 6, 3?\nAnswer: -0.872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:28 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 26277 = -19*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1\/309?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -26*r + 4. Let i(c) = -53*c + 7. What is -4*i(u) + 7*y(u)?\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194302.92 months to millennia.\nAnswer: 16.19191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -6.2 (c) -2 (d) -3 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.7. What is the nearest to 0 in 3\/5, l, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12480)\/(-7930))\/24*1\/(-2)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -8*u**3 + 103*u**4 - 103*u**4 - 20 - 4*u**6. Find the third derivative of y(k) wrt k.\nAnswer: -1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11505 - 6?\nAnswer: -11514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55003*b - 28152*b + 67275*b)*(-2 + 4 + 0) to l + c*b and give c.\nAnswer: 188252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111010100011111101001100100?\nAnswer: -111010100011111101001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o**2 + 9*o - 4. Let k(v) = -3*v**2 - 2*v + 1. Let a(p) = -2*h(p) - 11*k(p). Let w be a(-3). Let d be 1*1\/w + (-1120)\/(-60). Is d greater than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i + 8*i - 2 - 2. Let r be j(4). Let p = r + -53. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q + 13*q - 67522 = 0. What are the prime factors of q?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 71*c = 67*c - 130125, v - 26025 = 5*c. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3377488989 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138876 is divided by 69411.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from {u: 1, e: 2, q: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6145*r + 6152*r + 77 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9 + -11)*(-3300 + (-4 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.64263523 to two decimal places.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23090?\nAnswer: 2, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1141, -2329, -3503, -4657, -5785, -6881, -7939, -8953?\nAnswer: -9917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(175) + -1)*1)**2 + 5*(sqrt(7)*-1 + -5) + -1.\nAnswer: -65*sqrt(7) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/(-24)) - 0. Let k = u + 23. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(136\/80 + -2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c - 5*c + 12*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9143, 14518, 19893?\n\"Answer: 5375*l + 3768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.90474l?\nAnswer: 49904.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 211, 742, 1779, 3490, 6043?\nAnswer: 9606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -59*t - 6. Let y(s) = -1. Calculate k(f) - 5*y(f).\nAnswer: -59*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532 by 133.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i - 1. Let h be y(-3). Let u = -347 + 347. Suppose -3*f + 51 - 22 = 5*r, u = 2*f + 2*r - 14. Put 1, h, f in descending order.\nAnswer: f, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/18 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 4\/60*5*12. Is ((-6)\/j - 7) + 10911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3203*g**2 + 28. Let o(k) = -49113*k**2 + 428. Calculate -214*l(m) + 14*o(m).\nAnswer: -2140*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18195 or 2362?\nAnswer: 18195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22700 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557547?\nAnswer: 3, 185849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2967681315620491.2000113 - 2967681530691325. Let c = -215070811 - r. Let v = c + -22.8. What is v rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**23\/(v\/(v**(-1\/17)\/v*v)) assuming v is positive.\nAnswer: v**(373\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046986 to 4 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3 - 30)\/(-2). Suppose 0 = -3*h + l - 8. Solve 0 = -2*j - h*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328248?\nAnswer: 2, 3, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.4 + -2.4. Let z = b + -25.9912. What is z rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80618, 161237, 241856, 322475, 403094?\n\"Answer: 80619*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5487439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*g - 595 = -2199, 4*g - 1942 = -5*h. What is the highest common factor of 3743 and h?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32022 - 0?\nAnswer: -32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 2, 54, -4.1 in decreasing order.\nAnswer: 54, 4, 2, -3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 4:59 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(-9)\/(-630)*-2. Let s = 82 + -81.6. What is the biggest value in -10, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - (-39)\/(-24)*-6. Suppose 70865 = -5*z + f*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*u + 154*a + 1063 = 365*u, 2 = 5*u - 2*a - 0 + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6 - (11 - 10)) + (70 - 93)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 182*a + 32*a = -2070 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*m + 20*m + 531*m + 11*m + 33*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - m + 13. Let v be c(0). Let j(t) = 4*t**3 + v*t**3 + 6*t**2 + 10 + t + 3. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11171036*k**4 - 14143632 wrt k?\nAnswer: 44684144*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.629662nm?\nAnswer: 0.000000000008629662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/221581?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436253643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1367, -2578, -3789, -5000, -6211?\n\"Answer: -1211*t - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.3. What is the closest to -38 in r, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r + 0 - 2 + 2.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*x + 2*s, x - s + 5 = 3*x. Put 5, -119, x in increasing order.\nAnswer: -119, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100 + 212020222?\nAnswer: 212001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 703776 divided by -5\nAnswer: -703776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 - 165. Suppose t - 43 - 21 = -5*n, 0 = -3*n - 2*t + u. Let v be 2\/(-5) - (-54)\/10. Solve -20 = -b - 4*w - w, n = v*b - 4*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014403831 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-60)*(20\/(-2) - -1 - 210405\/(-22659))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38772, 77647, 116620, 155691, 194860?\n\"Answer: 49*x**2 + 38728*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 7*d + 2. Let s be o(-7). Suppose 0 + 4 = 2*i. What is the third derivative of 4*a**s - i*a**4 + 4*a**6 - a**4 + 3*a**4 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let w = -2 - t. Suppose -4*n - d + 14 = -2*n, -3*d + 7 = -n. Put w, n, -3 in decreasing order.\nAnswer: n, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.1. Let f = 13.7 + -1.3. Let h = -12 + f. Do x and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l**2 + 43*l - 3. Let z(f) = 2*f**3 - 5*f**2 - 42*f + 4. Determine 4*c(k) + 3*z(k).\nAnswer: 2*k**3 + k**2 + 46*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = z - 18 - 255, -z - 1 = 0. Let c = 217 + a. Let d = c - 80. Solve d = -4*u - 2*v, -4*u = 4*v + v + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1512 and 155358?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -90.7374\nAnswer: 93.7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 23. What is the closest to i in -1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305.9 + -306. Let o = -92 - -91.5. Which is the third smallest value? (a) -2 (b) o (c) -1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c. Let p(i) = 5*i. Let a = -14 + 3. Let f(z) = a*p(z) + 2*o(z). Let x(n) = -n**2. What is x(f(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -361*z - 6501. Determine p(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455680 and 227840.\nAnswer: 455680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 522996 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 7*m**2 - 266*m - 2373 - m**2 + 2373 - 56*m.\nAnswer: 2*m**2 - 322*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 79, -2, 13, 6.\nAnswer: -2, 1, 3, 6, 13, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -780*i - 21891. Calculate p(-28).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 284, 179, -5, -3 in descending order.\nAnswer: 284, 179, 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.5 + -24.5. Let g = 31.2 + v. What is the closest to g in 2\/5, -5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -12. Suppose -y*b + 10 = -30. Sort -1, b, -5 in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 8.91. Let m = o - -11. What is the third biggest value in 0, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + 16 - 34) + 13 + 0\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154735 + 154734.99999780391. Round b to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5589177, -11178355, -16767533, -22356711, -27945889?\nAnswer: -33535067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*h**2 - 15*h**3 + 60*h**2 + (-h - 2*h + 4*h)*(-5*h**2 + 0*h**2 + 3*h**2))*(-11 - 8 + 0).\nAnswer: 323*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 - 20697\/2*(-1288)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/48)\/(4600\/(-8096)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100026979 or 0.2?\nAnswer: -100026979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 3*m**2 + m + 2. Let s be k(2). Suppose s = -3*h + 7*h - 20. Suppose -110 = -h*c - 0*c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1 + s**2 - 37*s - 9 + 42*s. Let r be w(-11). Let o = r + -50. Let i(d) = -d**2 + 5*d + 1. Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*o - 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(176) + (0 + sqrt(176))*-2)**2 + 2*-2*(1 + sqrt(1100)).\nAnswer: -40*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 3*g. Let a(v) = v. Let w(k) = 3*a(k) + z(k). Let u(p) = -p - 6. Let l be u(-8). Let t(q) = 2*q - q - l*q. Give w(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6388 and 336\/(-88) - -4 - 1035\/(-55)?\nAnswer: 6388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7716 to two decimal places.\nAnswer: 7.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-1 + (3 - 62)). Suppose u = y - 159. What is the highest common factor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 15. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 + 109934 - 109934.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-612)\/357*(-7)\/(-2). Let h be 2\/j*195\/65. Is -1\/168 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008+2.5\nAnswer: 2.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -158, 3 in increasing order.\nAnswer: -158, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhbhnmnobrbm. Give prob of picking 1 m, 1 h, and 1 r.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56, -52, -56, -74, -112, -176, -272?\n\"Answer: -a**3 + 2*a**2 + 5*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2013538727 to the nearest integer?\nAnswer: 44872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 74*d**3 - d**2 - d + 1. What is z(1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 + 7*i + 2. Let a be d(-7). Suppose 11 + 37 = 4*k. Suppose 0 = 2*y + y - v - k, -25 = -a*y - 5*v. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80184.\nAnswer: 2, 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(1\/4))\/s*s*s*s)**(1\/43))**31)**(2\/17) assuming s is positive.\nAnswer: s**(31\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802 = -117*t - 4546 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(245) + -5*sqrt(245)*-5)**2 + (1*sqrt(245) + sqrt(5) + 1*(sqrt(5) + 0))**2 + 4)*3.\nAnswer: 996174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3915 by 3200.\nAnswer: -783\/640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -9718305\nAnswer: 971830.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:48 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/13 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -132?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 18. Let k be a(-7). Suppose -9 = -k*u + 3*u. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107744357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/464 and 17\/1015.\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from popoooop.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 - o. Give z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 48 = -t, 262*t - l = 257*t + 396. What is the remainder when 2259 is divided by t?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556*-0.1\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 2:37 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 6. Suppose 25 - n = 3*x. What is the highest common divisor of 54 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 16 = -29*y. Let f be 0\/(6 + (y - 7)). Put f, 2\/3, 4 in decreasing order.\nAnswer: 4, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016087 rounded to 6 dps?\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/27 + 13\/54. Let y(d) be the third derivative of 0*d + 0*d**4 + f*d**3 + 0 - 1\/20*d**5 - 3*d**2. Differentiate y(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(3\/(-6)). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9 - 19. Let l(k) = 3*k + 7 + k - r. Let a(c) = c. What is l(a(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -649419\nAnswer: -259767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-588)\/(-77)) + (-4)\/(-14). Let l = -0.18 + 0.08. Which is the nearest to l? (a) -1 (b) 3\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 0 + 0)*(-d**2 + d**2 - d**2) + d**5 + 2*d**5 - d**5 + 217*d**5 - 107*d**5 - 30*d**5.\nAnswer: 81*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4029.975ml to litres.\nAnswer: 4.029975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hauk when four letters picked without replacement from {h: 6, u: 4, d: 1, k: 1, a: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 305817773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 7*i + (2 - 2 + 3)*(0*i + 2*i - 3*i))*(-2*i + 2*i - i**2).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*a = -6, y = -0*y - 3*a + 9. Sort 3, y, -3 in ascending order.\nAnswer: -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -0.75 (c) 4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.07111 rounded to one decimal place?\nAnswer: 120.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10 + 7 + 17*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 375603.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*u - 82 + 16821, u - 2*f = 4175. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10 = 5*w, -1425*j + 1423*j - 3*w = 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-8))\/((-78400)\/6400))\/((-20)\/8)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*(sqrt(77) + sqrt(77)*-2 + sqrt(77) + sqrt(77)))\/(sqrt(35)\/(1*sqrt(320))))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 2 k when four letters picked without replacement from {k: 10, z: 1, v: 9}?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 + 84. Let q = s - -142.999596. Round q to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96490714 + 58248859. Let m = t - -38241853.2000019. Let r = -1.8 - m. Round r to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-55))\/(7\/(-35)). Let l = -194\/5 + 39. Which is the nearest to m? (a) -2 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4550 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 38*l**2 + 2*l + 81. Let k be i(-38). Solve 0 = g - 4*b + 7, -2*g = -k*g + 2*b - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -527.1 + 505. Let v = k + 24. What is v rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 5*b**2 + 7*b - 4. What is r(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j - 147. Calculate b(-17).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9401 - 9392 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5664)\/(-295))\/(3\/(-15)))\/(3*1\/(-2)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71649 or 21\/5?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**3 - 2670*b**2 + 1332*b**2 + 1338*b**2.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 196043540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 8. Let g be v(-5). Suppose 2*f - g = 41. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 40080 = 230000. What is c rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.075 (b) -0.1 (c) -5 (d) 26296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 19 - 29. What is the tens digit of ((-94)\/(-8))\/((-2)\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26339 and 217.\nAnswer: 5715563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 430202413968 and 1.26.\nAnswer: 430202413969.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 35*j**5\/2 + 625*j**3\/3 - 14*j**2. Differentiate b(m) wrt m.\nAnswer: 2100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4718.83 rounded to the nearest ten?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1195, -2407, -3635, -4885, -6163, -7475, -8827?\n\"Answer: -m**3 - 2*m**2 - 1199*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26354219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwgwgggwggggzg. What is prob of sequence gwz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11458 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(8\/7))\/m)\/m)\/m**0*m**(-4\/11)\/m*m**(2\/15) assuming m is positive.\nAnswer: m**(-3896\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 19 - (-880 + 958)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(1\/4)\/o)*o)**(-18\/11)*o\/(o*o*o**(-1)*o)*o**(-3\/7))**(-47\/3) assuming o is positive.\nAnswer: o**(54755\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 - 4*r**2 - 5. Let k(w) = -6*w**3 + 4*w**2 + 6. Suppose 672*i = 793*i - 605. Calculate i*u(o) + 4*k(o).\nAnswer: o**3 - 4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131138 and 4930.\nAnswer: 655690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15111, 15100, 15085, 15066, 15043, 15016, 14985?\nAnswer: 14950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at least 369864.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6902 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 40*o + 40. What is i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -0.11604751.\nAnswer: -10.11604751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + r = 2*r + 23, b = -5*r - 3. Suppose 0 = 11*g - b*g - 44. Suppose 36 = 5*x + 4*z + 6, -3*z + g = -2*x. Solve 0*y = x*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4475*p**2 + 26*p + 22*p + 4473*p**2 as a + z*p + q*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3053 - 3053 + 4*m**2 - 8*m = 0 for m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4579, -18208, -40871, -72562, -113275?\n\"Answer: n**3 - 4523*n**2 - 67*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77935791?\nAnswer: 3, 79, 149, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 84*h**2 + 18*h\/5 - 756.\nAnswer: -2*(h - 210)*(h - 3)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*k - 10*k. Is k >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1427\/18 - -455\/6. Find the common denominator of 47\/5 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70297 = 6858*v + 139361 + 57804 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -18.5, -1\/5, -8\/9, -4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5511, -4820, -4129, -3438, -2747?\n\"Answer: 691*a - 6202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/4*35\/21. Solve 6*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.076 - -0.074. Let g = -115 - -116. What is the second smallest value in g, t, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2291777 or -4?\nAnswer: 2291777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-2)\/(-12)). Suppose 0 = -4*u + 3*u + 2. Solve u*k - 7 = n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -33\/16, -7, 3195?\nAnswer: -33\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:39 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 3)*(-29 + (-2 - -1)). Calculate the common denominator of (4\/(-50)*6)\/(4\/o) and (-564)\/(-36)*(-2)\/(40\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1388540\/16)\/(10*10\/160) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.94 - 1.16. Let h = n - -1.1. Let v = -438 - -438.1. Is v != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:13 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2299*z + 89586. Calculate p(-39).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30870.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*s + 10 = 0, -3*s = 6*t - 3*t. Which is the biggest value? (a) -1\/4 (b) t (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 166.476ml?\nAnswer: 0.166476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 + 2*l - 29. Let i(z) = -z**2 - z + 2. Calculate -5*i(j) - k(j).\nAnswer: -2*j**2 + 3*j + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 47824*x**2.\nAnswer: -2*x**2*(x + 23912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 426 and 24.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -34*f - 214. Let p be s(-8). Calculate the highest common divisor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4865 + 4785 = 15*u, 13 = -2*u + h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108535802 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 411, -38, 1, -1.\nAnswer: -38, -1, 1, 2, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - u + 2*u + 2*u + 8*u to w*u + q and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*q*s**2 + 4*q + 3*s**2 - 42 wrt s.\nAnswer: -38*q*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*f + 5 - 5)*(5 - 11 + 30) - f + f - f.\nAnswer: -769*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 15*j**2 - 6*j - 14. Let v be t(8). Suppose -6*z + v*z - 2*q = -48, 0 = -z + 2*q + 22. What is the least common multiple of z and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.166 + -2.834. Let o = 24 + -12. Let k = c + o. Which is greater: -21 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 128*s**2 + 628*s - 1619. What is f(123)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -92\/6496197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31140295, -62280594, -93420893, -124561192, -155701491?\n\"Answer: -31140299*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -2.19. Let n = d - 2.91. What is the second biggest value in -0.2, 1\/2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:27 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 50. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 21*a + 7. Find the third derivative of -r**a - 22*r**4 + 4*r**3 - 31*r + 31*r + 114*r**2 wrt r.\nAnswer: -528*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 21*b + 32. Let r be h(20). Suppose 3*f - r = -f. Suppose 2*l = 3*g - f*l - 1547, l + 517 = g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6))**(-16) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0) + 36\/(-3). Is (-2)\/i + 1491\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3360 + -56829?\nAnswer: -60189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - p**2 + 3*p + 3. Let b be y(-2). Let q = b + -33. Suppose -n + 251 = 2*i, -4*i + q*i = 3*n - 503. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (15 + -10 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12979966?\nAnswer: 2, 6489983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*l + 21 = -463*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 79821*m**2. Let i(l) = -3*l**2. Give i(k(z)).\nAnswer: -19114176123*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 140 + 23*r**4 + 0*r**3 - 4\/5*r**5 + 0*r**2 + 0*r. Factor s(l).\nAnswer: -4*l**3*(l - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42796 and 22282?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -157094.\nAnswer: 87\/157094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(1\/74)*y\/(y\/y**(3\/2))*y*y\/(y**6*y)*y)\/((y\/(y**(-6)*y))\/((y**(-5)*y)\/y*y)*y*y**(3\/5)*y**(-2)*y) assuming y is positive.\nAnswer: y**(-2421\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-92)\/10)\/(1\/(-5)). Suppose 2 = 4*d - y. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 63, 66, 69?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let h(g) = 2*g**2 - 75*g - 14. Let c be h(40). Let f(k) = -31*k + 4. Let i(t) = 1426*t - 186. Let b(w) = c*f(w) + 4*i(w). What is u(b(o))?\nAnswer: 7688*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 84*b**2 + 238*b - 54. Give a(39).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c8bb2 (base 13) to base 8.\nAnswer: 2630645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 506*v + 142. Suppose 0 = -3*n + 3*f, -4*n = -0*n + 5*f - 27. List the prime factors of u(n).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*12\/32.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 53.6, 1, -36, -3\/2, 4?\nAnswer: 53.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k + 12. Let h(z) = -15*z + 24. Let l(g) = -13*a(g) + 6*h(g). Let o be l(-16). What is o rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011 (base 3) to base 4\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102991 - 1442955\/14. Is k < -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2837712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**2. Let c(p) be the first derivative of 3 - 1\/3*p**3 + 0*p**2 + 0*p. Give j(c(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2 + 9*a - 419\/2*a**2. Let y be r(11). Round y to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 3, n: 6, l: 1, u: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1237*0.8.\nAnswer: 989.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4531, 1, -0.27, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9330596 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1\/2*t**4 - 4*t**2 + 0 + 0*t + 3*t**3 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280911, 561812, 842713, 1123614, 1404515?\nAnswer: 1685416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25593075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p*p**6))\/p)**(-1\/71)*(p*p**(-7\/3)*p)\/((p*p*p**11)\/p) assuming p is positive.\nAnswer: p**(-2609\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 30 = 5*b. Solve -11 = -t + 4*f, 0 = -b*t + 2*f - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12247676 is divided by 1886.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661919.9um to kilometers.\nAnswer: 0.0006619199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 15. What is q rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqozdzdzoozdz. What is prob of sequence zzzd?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.9. What is the second smallest value in a, 1, -11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291.05 + 291. Sort -0.12, 5, t in descending order.\nAnswer: 5, t, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 - (-13)\/((-13)\/(-2)). Let a(p) be the third derivative of -1\/150*p**5 + m*p + 2*p**2 + 1\/30*p**4 + 0 + 0*p**3. Solve a(u) = 0 for u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -71. Let m(h) = 2 + 3*h**2 - 2*h**2 - 2*h - 6*h**2. Let i(j) = 21*j**2 + 9*j - 9. Give c*m(s) - 2*i(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3514 = -116. Suppose -15*o + d = -4*o. What is the greatest common factor of o and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-3)\/(-15)). Let w(v) = -8*v**2 + 2*v - 2. Let j(p) = -41*p**2 + 11*p - 11. Suppose 0 = 6*i + 1205 - 1139. Give i*w(o) + m*j(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -59*i**2 - 902*i + 48. What is the remainder when 647 is divided by k(-15)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -6)*207\/9. Let j = r + -57. What is the greatest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 14*v**2 - 9*v - 16. Let g be j(13). Suppose 32 - g = -2*m. Solve m*l + 5 = -2*l + 5*s, l = -2*s + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3862 - 2627. Suppose 2*f = 3*f - 4*k - 253, -5*f = -5*k - z. Suppose 2*m + l = m + f, -981 = -4*m - 3*l. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 5, -6, -31, -76, -147?\n\"Answer: -q**3 + 2*q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302990705 divided by -1?\nAnswer: -302990705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v + 2*v)*(1 + 2 - 4) - v + 2 - 2 - v + 4*v - 5*v + v - 6*v + 8*v - 702*v - 658*v + 285*v.\nAnswer: -1073*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-1 + 2)*2. Let m be -1 + b - 0\/(-3). Sort -1, 7, m.\nAnswer: -1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.8. Let j = 2128\/15 + -4939\/35. Let b = 3\/35 - j. Is b less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 57*c + 177. What is h(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.1214028 and 610.195?\nAnswer: 607.0735972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.39 less than 3508?\nAnswer: 3494.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12.6 (b) -7\/3 (c) 2\/17 (d) -0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 176736.\nAnswer: 13\/176736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 62*t + 367. Determine h(5).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 978, 1459, 1932, 2397, 2854?\nAnswer: 3303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:59 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94.06 - 94. Put 0.4, -60, v, 1\/3 in ascending order.\nAnswer: -60, v, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 y when three letters picked without replacement from iqyiy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-4)\/(-8)*(-10)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/51 + (-1144)\/(-495) - 4\/(-18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*x**2 + 142*x**2 - 149*x**2.\nAnswer: -324*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 283305347 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbny when four letters picked without replacement from {n: 5, d: 5, y: 5, b: 5}.\nAnswer: 125\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.9004 days to milliseconds.\nAnswer: 3274594560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -13, -57\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/478 and -9\/1333652?\nAnswer: 318742828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12612a (base 11) to base 15.\nAnswer: -3dc17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1032 - -25796\/25. Let y = -3011\/4503 + 3\/1501. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 + 1276*o**2 - 8516045*o\/4 + 2332946575\/2.\nAnswer: -(o - 2174)*(o - 1465)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652929 by -21.\nAnswer: 217643\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 41. Let j = 15 + t. Let u = 4 - j. What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 0*t**3 - t + 3*t**2 - 563*t**2 - 2*t**3.\nAnswer: t**3 - 560*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -391*n - 99 + 984 + 679 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/40 + 11*r**5\/60 + r**4\/3 - 13*r**3\/6 - 5*r**2 - 7. Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2029322724 and 1378.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/226 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpp when three letters picked without replacement from swppppxxspsp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b - 2. Let f be m(-3). Let o be 16\/6 + f\/(-6). Let l be (o - 1)\/((-3)\/9). Let x(s) = -s + 3. Give x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7*n = 102. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 13. Let u(x) = -x**2 + 5*x + 7. Let m be u(5). What is the units digit of l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85403 is divided by 3517?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 10803. Let k(d) = 33*d**2. Calculate h(k(g)).\nAnswer: 132*g**2 + 10803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11987774 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/6 - q**2. Let o(c) be the first derivative of i(c). Let d = 103 + -98. Give o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -45543542?\nAnswer: -45543524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 - 71. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 - 8 = -13*k - 51 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-99)\/6)\/11*4. Let r(b) = 2*b + 6. Calculate r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 178*m**3 + 340*m**2 + 712*m - 1392.\nAnswer: 2*(m - 87)*(m - 2)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/12)\/7)\/((-4)\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 26*o - 724. Let l be f(29). Calculate the highest common divisor of 795 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8562248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -41. Let y = -19 - l. Calculate the least common multiple of 18 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.5. Suppose -14*z + 48 = -8. Let k = -40 - -39. What is the smallest value in h, k, -0.3, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 24379758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 - 184. Solve t*m = -3*u + 11 + 1, m = u - 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - 7. Suppose -4*k + 23 = 3*m - 8, -5*k + u*m = -32. Let g = -3 + k. Solve -g*t + 6 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -5, 0.4, 0.1, -1 in increasing order.\nAnswer: -5, -1, -0.04, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*m**2 - 794*m**2 - 798*m**2 - 803*m**2 - 799*m**2 + 15 + 3984*m**2.\nAnswer: m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - d + 12 = 0, -3*b = -7*b + 2*d - 18. Let m be 52\/40 + b - -1. Suppose -4*o + 5*o = 0. Is o at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4170*y - 4174*y - 33 = 5*q, 0 = -3*q + 2*y - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285630?\nAnswer: 2, 3, 5, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1287647 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*s + 598*s - 1199*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -312 + 942. Find the common denominator of 23\/55 and (-4)\/28 - 22\/n.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 5 = 28*w. Let u(s) = -532*s + 56. Let v(m) = 28*m - 3. Give w*u(z) - 56*v(z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(6930\/(-54))*-2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -116754*w - 1167516. Calculate q(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-2*2\/(-4)). Let u = -3 - -3. Suppose -n = -u*n - y. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 323 - 205 = 0. Suppose 15*p - 19*p = -h. Calculate the highest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzx when three letters picked without replacement from {x: 5, d: 1, a: 3, o: 4, z: 1, f: 6}.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, -1, -4.96, 44.579?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(112)\/(sqrt(8)*-1))\/(sqrt(18)\/(sqrt(9)*3)))**2*5.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21696 rounded to three decimal places?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 21122286.\nAnswer: 63366858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((18\/(-4))\/(-3)*-32*(-4)\/9216).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 120 - 4*y + 126 + 15*y**2 - 369 + 3*y.\nAnswer: 15*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1664113229 to the nearest integer?\nAnswer: 40794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1321 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4436 + 545 = -3*h. Let n(q) = -h + 1297 - 3*q**2. Let b(j) = -41*j**2. Determine b(n(f)).\nAnswer: -369*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 15. Let i = m + -9. Let w(b) = 2*b + 5. Let l(v) = -1. Give i*l(a) - w(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.7 and -3.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*w + 626 + 2589 - 675 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j**2 + 2*j + 1. Let i be w(-1). Let t be (-6 + i)*9\/(-6). Does 23 divide (-8)\/(24\/t) + 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-3))\/((-3)\/(-9)). Let a = -11 - t. Suppose 2*z + 5*j = -a, -z = -0*z - 3*j - 12. Let l(u) = -u**3 + 2*u**2 + 3. What is l(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k + 226 = 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6295?\nAnswer: 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22675 is divided by 315.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 234, 1647, 5486, 12963, 25290?\n\"Answer: 202*h**3 + h**2 - 4*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548796 is divided by 400?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 15.3. Let y = -3.8 + b. Let m = -10 - -13. Put y, -5\/6, m in ascending order.\nAnswer: -5\/6, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9\/7 (b) -0.2 (c) 431.967\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 845 = -n + 18*f, -f - 1681 = 2*n. Let y = n - -818. What is the closest to y in 3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342212 (base 5) to base 16.\nAnswer: 2f96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 6) to base 15\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z - 38*z - 3*z**3 + z**3 + (2*z - 2*z - z**3)*(3 + 2 - 2) as k*z**3 + m*z**2 + n*z + v and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -3 + 2)**2 - (sqrt(8)*1)**2) + (sqrt(8)\/sqrt(100) - (sqrt(98) + sqrt(98)*-4)).\nAnswer: -5 + 96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from qxxehef.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**3 + 1. Let v be f(1). Let x(h) = -5*h. Let p be x(v). Suppose -21 = -3*m - 3*k, 4*m - 2*m - 3*k = -6. Solve -y + p = m*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/26 + -25\/234. Let n(v) = -v**3 + 10*v**2 + 7*v + 9. Let z be n(11). Let h be (-6)\/z + (-140)\/25 + 6. Put h, 0.04, r in decreasing order.\nAnswer: h, 0.04, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 2)*(450*f**2 + 377*f**2 - 708*f**2 + (2 - f - 2)*(-3*f + 5*f + f)) to b*f + s*f**2 + x and give s.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102)\/13 - (-4)\/(-130)*5. Let a = 21 + -29. Let b = n - a. Solve b*g = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 0*t - t, -t = 0. What is the units digit of (-39)\/h*(-10 - -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 176, 4, -5, 0.2, -38, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4181472 and -2?\nAnswer: -8362944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(2\/750)\/1)\/(71*146\/25915).\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001089019239 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p + 0*p)*(-2 + 0 + 0) + p - 4*p + p + 5*p - p + 7*p + (1 + 5 + 10)*(0 + 2*p + 2 - p) to the form a*p + l and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3289114*n**3 + 3291394*n**3 - 6580507*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-444)\/(-518))\/(5*(-22)\/11550)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0*v**4 + 0*v**5 + 0 - 1\/105*v**7 + v + 0*v**3 - 2\/75*v**6 + 0*v**2. Factor t(r).\nAnswer: -2*r**4*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-90 - -96) + (-3 - 1) + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2, -1\/144?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26, 6, 8, 0.4, 0.075 in descending order.\nAnswer: 8, 6, 0.4, 0.075, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Suppose 2*k - 1 = 3, -p - 4*k = -4. Let b(o) = -6*o. Let x(n) = p*b(n) - 22*f(n). Let c(v) = 14*v**2. What is c(x(s))?\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -837668, -837670, -837672?\n\"Answer: -2*k - 837666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -76.7 (c) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002300152 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013618 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 26299.\nAnswer: 52598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (91 + 37 + -102)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {o: 3, w: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2712 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 40*y**2\/3 - 256*y\/3 - 2048.\nAnswer: 2*(y - 12)*(y + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnni. Give prob of picking 1 n and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1. Let v(m) = m**2 - 9*m - 15. Calculate 5*p(z) + v(z).\nAnswer: z**2 - 4*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.039 + 0.921. Let j = 1 - k. Let a = j + -0.040014. Round a to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkkk when four letters picked without replacement from {k: 5, z: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 - u**3 + 145*u - 151*u + 6*u**2 - 11*u**2. Let r be h(-3). Sort 13, -3, r.\nAnswer: -3, r, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 h, and 1 v when four letters picked without replacement from hjivhj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 150043?\nAnswer: -150053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -12\/5, -592?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 14*l**2 - 10*l - 35. Let v be 4 + 106\/(-6) + 1\/(-3). What is the units digit of h(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g + 2. Let w be v(-3). Let h = 56 + w. Suppose 0 = m - h + 5. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-39)*(-2782)\/321. Put 14\/129, -4\/9, x in descending order.\nAnswer: 14\/129, -4\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4182*z**5 + 44*z + 67.\nAnswer: -83640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 165 - -1544?\nAnswer: 16a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78935965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122974 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -14*b + 53. Give t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1997902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39592 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-8)\/6*(-108)\/(-144)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10324.496 take away 0.1?\nAnswer: -10324.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 45, 37, 3, -63?\n\"Answer: -q**3 - 4*q**2 + 31*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 202*(-1)\/(-1). Let q = -283 + 159. Let k = o + q. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - 11) - (-1025 - -1056)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*l**2 - 3\/5*l**3 + 3\/5 + 3\/5*l.\nAnswer: -3*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-3\/16))**(2\/23)*(o\/(o\/(o\/o**(-3\/5)*o))*o**1)\/(o**(2\/7)*o)**(11\/4) assuming o is positive.\nAnswer: o**(379\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-28) + 3 + 46\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*(f*f**(4\/5))\/f))**(3\/11)\/(f**(-2)\/(f*(f**(-14)*f)\/f*f*f)))**18)**(-2\/15) assuming f is positive.\nAnswer: f**(6084\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30935711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 64*c**3 + 59*c**3)*(-3*c - 1 + 1 + (-3*c + 2*c + 0*c)*(-2 - 1 + 2)).\nAnswer: 10*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12196b (base 12) to base 16\nAnswer: -47a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-8))\/(6\/32). Calculate the highest common divisor of f and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-42) + (-3)\/(-9). Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 1111, 1690, 2289, 2914, 3571, 4266?\nAnswer: 5005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*k = 6*k + 25, 0 = -n + 4*k + 22. Solve -3*x = -4*s + 3, 4*x = 3*s + n + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1039 - 991. What is the least common multiple of 72 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llddlllllleeleedllll. What is prob of sequence edee?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from yhhthhy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 + 2. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/22 and -29\/94?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 13*m - 8*m - 9*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, g: 1, y: 3, i: 1, x: 2}. Give prob of picking 1 x, 1 j, and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -k - 368, -30 = -n + 4*k + 111. Let c = n + -72. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-95)*25\/42. Sort -1\/3, d, -0.4, 4 in descending order.\nAnswer: 4, d, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333861949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16270222*l**3*y - 1857154*l**2*y + 3*l wrt l.\nAnswer: 97621332*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91248?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -1.9. What is the biggest value in -4, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 plus -0.1021556?\nAnswer: 26.8978444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*j + s, 5*j + 21 = 2*s + 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/8, 2348.81, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18486 and 1\/120.\nAnswer: 369720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + v**3 - 3*v + 10*v - 5*v**2 + 1 - 6. Let t be a(4). Let s = -0.09 + -3.91. Sort t, -2\/3, s.\nAnswer: s, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*t - 2. Let l(v) = -5*v - 2. Suppose 2*c = 7*c - 4*u - 2, 3*u - 10 = -2*c. Let m(a) = -c*a + 12*a + a - 2*a + 3. Calculate t*l(f) - 3*m(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -19*z - 10. List the prime factors of q(-4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + -46 + 6\/(-1))*(0 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554207 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/11*l + 0 + 18\/11*l**5 - 72\/11*l**2 - 78\/11*l**4 + 116\/11*l**3 = 0.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18121559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -h - 4*w, 0 = -3*h - 6*w + w + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -44, -63, -74?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bubk when four letters picked without replacement from {k: 2, u: 2, b: 3, w: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1\/(-1) - -5. Put r, 0, 103 in descending order.\nAnswer: 103, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/156*3\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (9 - 36 - -29)) + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 39*a**2 - 571*a - 20082. Determine g(-41).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -2\/11, 6.7, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1198, 4834, 10990, 19744, 31174, 45358?\n\"Answer: 13*f**3 + 1182*f**2 - f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/216 + a**7\/105 + a**6\/270 + a**2 + 54. Factor g(p).\nAnswer: 2*p**3*(p + 1)*(7*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/2, 1\/8, 0.04, -59 in decreasing order.\nAnswer: 3\/2, 1\/8, 0.04, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/8 + 3*i**2 + 179*i\/8 + 105\/2 = 0. What is i?\nAnswer: -12, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - o**2 - 2*o - 1. Let z be l(-1). Suppose z*j - 7 = 5. Suppose -2*w + j = -12. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47587, -95176, -142765?\n\"Answer: -47589*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/5)*d\/d**(-9))**35\/((d\/d**2)**33)**(-25) assuming d is positive.\nAnswer: d**(-531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2164 times -9.98?\nAnswer: 21596.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 30800 = 4*m. Round m to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -76. What is the remainder when 44 is divided by d*(24 + 0\/(-2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -106, -88, -68, -46, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttbtttttttttttttt.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1641243*n + 6564979. Calculate b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -92. Suppose 3*s = 5*l - 205, -2*s = 22*l - 19*l - 104. Let x = l - p. Sort 5, x, 1 in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 2*j - 1. Let l be q(0). Suppose 0 = -4*g - 17 + 5. Let u = -3 + 3. Put u, g, l in descending order.\nAnswer: u, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/90 - u**5\/30 + u**4\/3 - 13*u**3\/6 + 24*u**2. Let g(i) be the first derivative of w(i). Factor g(f).\nAnswer: -4*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 2267, 4752, 8137, 12422, 17607?\nAnswer: 23692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*s - 50 = 0, 4*o + 0*s + 3*s - 46 = 0. Suppose 0 = -o*p + 5*p. Suppose p = 6*g - 8*g. Solve g*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 v when three letters picked without replacement from vvxfewf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*y = -9589 + 274 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-14) + 8\/(-140)*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 555 + -310. Let n = 536 - r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/31))\/l*l)\/(l*l**(-14\/3)*l)*(l\/(l\/(l*l**(-9\/5))))**(-37) assuming l is positive.\nAnswer: l**(15514\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 723, 1427, 2111, 2781, 3443, 4103, 4767?\n\"Answer: j**3 - 16*j**2 + 745*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13943593?\nAnswer: 1759, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 14*t + 4. Let j(h) = -13*h - 3. Let y = 266 + -261. Determine y*c(a) + 6*j(a).\nAnswer: -8*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 2*i**5\/5 - 381*i**4\/4 - 224*i**3\/3 - 146. What is the third derivative of f(p) wrt p?\nAnswer: 48*p - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 6*l = -28*c + 3*l - 9, 2*c = 119*l + 343 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 434 + -869\/2. Put 0.1, y, 3.4 in ascending order.\nAnswer: y, 0.1, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1047122208 divided by -918.\nAnswer: 1140656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1\/8 (c) 3\/4 (d) 77\/212 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/5 + 28622*w**3\/5 + 5724*w**2.\nAnswer: 2*w**2*(w + 1)*(w + 14310)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g - 2. Let t be (88\/66)\/(2\/6). Let v be m(t). Let h = -40 + v. Which is the second biggest value? (a) -0.3 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5636681 - -1?\nAnswer: -5636680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Suppose j*o = o + 2*f - 14, 3*o - 3*f + 12 = 0. Let r be (-4)\/(-5) + o + 2. Which is the second smallest value? (a) 1 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/49 - 6*h**6\/7 - 171*h**5\/70 - 2*h**4 + 3762*h. Solve j(k) = 0.\nAnswer: -28, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*r - 264*r - 257*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 + -114. Sort a, -2, 8.\nAnswer: -2, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043\/14*(4 + -2) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18752922, -18752920, -18752918?\n\"Answer: 2*g - 18752924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -336072241 and 1.\nAnswer: -336072240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -87. Let r = 98 + i. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*p + 128, -5*p - 72 = -3*p - 4*x. Let g be ((-42)\/p)\/((-1959997)\/(-980000) - 2). Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 584 + -400. Suppose s = -4*m + 3*m. Let b = -107 - m. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let b(r) = 76090*r**2. Calculate b(u(x)).\nAnswer: 76090*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**4*z**2 - 28*y**4 - 289*y**3*z**2 - 8550*y**2 + 13*z**2 wrt y?\nAnswer: -96*y*z**2 - 672*y - 1734*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 26. Let m = -67 - -59. Let w be u(m). Solve w*c + 0*c = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/33)\/(176\/160*20\/(-8))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5275797 is divided by 351713.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:49 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6321108 - 0.632. What is x rounded to six decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**2 + 3226*l + 1290. Let s(f) = 4*f**2 - 1074*f - 431. Let i(u) = -3*b(u) - 8*s(u). What is the derivative of i(v) wrt v?\nAnswer: 2*v - 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6302480?\nAnswer: 2, 5, 78781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/6 - 15434*i**3 - 740759*i**2\/6 + 138906*i + 1111152 = 0. What is i?\nAnswer: -92596, -8, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31575292 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6228 is divided by 1245.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -81, -227, -449, -753, -1145?\n\"Answer: -u**3 - 29*u**2 + 18*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14242620, 14242617, 14242612, 14242605?\nAnswer: 14242596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujxx when four letters picked without replacement from {u: 1, x: 2, j: 13, y: 3}.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -839*d**3 + 16*d**2 + 40 wrt d?\nAnswer: -5034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 5:40 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 46 = 2*j + 1198, l - 290 = j. Suppose l = 180*k - 154*k. What is the remainder when 20 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 448, 2323, 5442, 9805, 15412, 22263, 30358?\n\"Answer: 622*k**2 + 9*k - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**2. Let f(z) = 49*z**2. Let b(k) = -3*f(k) - 14*p(k). Let l(d) = 0*d**2 - d**2 + 10*d**2 - 4*d**2 - 9*d**2. What is l(b(s))?\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 5. Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181 - 81. Suppose -3*x = 2*x - y. Suppose -4*l = -0*l - 12. Solve -c = l*c + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 p when three letters picked without replacement from {a: 1, q: 1, p: 1, o: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -27 + 25 + (1 - -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 3*a + 1. Let m be x(-2). Let k = -7 - m. Let s be -4*3*(-21)\/k. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9444\/75 + (-930)\/15500*(-4)\/3. Solve -25*i = 251 - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*k = 2*l - 10, 10 = 2*l - 4*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16068*c**2 + 15770*c wrt c?\nAnswer: 32136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 m, and 1 y when four letters picked without replacement from okykmkkkpsokykm.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/10 - 191*w**4\/4 + w**3\/3 + 203*w**2\/2 + 1343*w. What is the second derivative of k(j) wrt j?\nAnswer: 12*j - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**4 + 2*k - 4*k - 193*k**3 - 94443*k**2 + 94440*k**2 as f*k**4 + o + i*k + w*k**3 + v*k**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 5*l + 293. What is the remainder when t(0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 + 20*n - 22. Let f be k(1). Solve 9 = 4*x - x + 3*v, 0 = -f*x - v + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(242))*2)**2 - (sqrt(4)\/sqrt(2) + -3 + 2).\nAnswer: -353*sqrt(2) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/2 + h**2\/2 + 8*h. Suppose 2 = 4*c - 2. Let a be l(c). What is the greatest common factor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*h - 4, 3*l - 14 - 4 = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjjjtjtjtjj. Give prob of picking 2 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -18 + (-6 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 10. Give b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12*4990\nAnswer: -59880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = 27319 - 5233. Solve 9*d - 382 = -o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2 - 4*u + 4*u + 10*u**2 - u**3.\nAnswer: -u**2*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46792623?\nAnswer: 3, 15597541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - r + 2*r + (-3*r - 4*r + 5*r)*(-1 + 0 + 0) + r + 0 + 0 + (-3*r + 4*r - 3*r)*(-2 + 0 + 0).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24575 is divided by 683.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 55*p**2 + 108*p - 89. Determine j(53).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -11, -49, -123, -245, -427, -681?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (1002\/(-4))\/(3 + -10). Let r = -59\/2 + n. Find c such that 15\/7*c**2 + 3\/7*c**5 - r*c**3 + 0 - 6\/7*c - 3\/7*c**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjxjhvvvhxjjxjxvv. What is prob of sequence jvhv?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 169\/10, 0.2 in increasing order.\nAnswer: 0.2, 2, 169\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -574 + 599. Solve f + s = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - (1 + 3)) + -3. Let i be 175 + -2 - 2\/(-2). Let o be (0 + -2)*3\/i. Which is greater: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*q + 123 - 14, -4*f + 107 = q. What is the remainder when f is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8885*i**2 - 3*i - 13. Is t(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-20))\/((-1)\/5). Suppose 3*x = a*x + 31. Suppose 3*i = 187 - x. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:30 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2629 and 936474?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let n(w) = -13*w - 8. Let d(m) = -6*i(m) + 2*n(m). Let f be d(-4). Suppose f = v - 5*l, 3*v + 3*l = -v + 587. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 3 + 0*q**3 + 5*q**3 + q**3.\nAnswer: 6*q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31731488819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 125. Let m = y - 15. What is the greatest common divisor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (14 + -20) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(242) + -3 + sqrt(2))*-4)**2 + -4 + 4 + 3 + -3.\nAnswer: -18432*sqrt(2) + 76032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 25*x**2 + 14. List the prime factors of r(-25).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7128*w**3 - 7131*w**3 + 14258*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssskssks. What is prob of sequence ks?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/4 - (7\/(-14) - 1). Suppose -111890 = -m*y - 24776. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i - 17 = -5*l - 42*i, 5*l - i - 21 = 0. Let n(a) = a**2 - 13*a + 1. Let s be n(12). Put l, 5, 3, s in descending order.\nAnswer: 5, l, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-41)\/(-492)*372\/(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*g - 10, 0*g + 4 = k - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-123701830)\/(-28))\/((-1)\/2). Let t = h - -105926665\/12. Let j = t - -8613. What is the common denominator of -5\/12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**3 + 38 - 32*p**3 + 33 + 21*p + 2*p**2 - 72 to a + q*p**2 + v*p + m*p**3 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 252.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12854, -25256, -37658, -50060, -62462, -74864?\n\"Answer: -12402*g - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, t: 5}. Give prob of sequence kk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207559.\nAnswer: 11, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b + 5*p + 12, 3*p + 1 = 5*b. Let w = b - -1. Let z be (1\/(-2) + w)*0. Put 1, -5, z in ascending order.\nAnswer: -5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1195, -1196, -1199, -1204, -1211?\n\"Answer: -j**2 + 2*j - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**5\/25 - d**4\/5 - 19*d**3\/15 - 7*d**2\/5 + 2300. Suppose z(k) = 0. What is k?\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1450)\/125 + 20)*(40\/(-3))\/4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-6)*4\/(-2)*38988\/(-28728).\nAnswer: 95\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g. Suppose g*k - 3*d - 63 = -k, -k + 35 = 4*d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843 = -89*x - 8*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 + 112372233*o**2\/4 + 263073293232768*o - 263073321325827.\nAnswer: 3*(o - 1)*(o + 18728706)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s. Suppose 3*k + s*k - 6 = 2*b, 17 = 5*k - b. Suppose k*a - 20 = 128. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -1 - 8*z**2 - 8*z**3 - 4\/5*z**5 - 4*z**4 - 4*z. Factor t(j).\nAnswer: -4*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 341*i**8\/336 - i**4 + i**3\/6 - 74*i**2. What is the second derivative of r(f) wrt f?\nAnswer: 6820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a - 3*a)*(-3800*a**2 + 102338 - 102338 + (-a - 6*a + 5*a)*(-3 + 3 + a) + 2*a**2 + 3*a**2 - 6*a**2 + a**2 - 2 + 2 + a**2 - 2*a**2 + 0*a**2).\nAnswer: 3803*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35929 and 0.87.\nAnswer: 35929.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = -0*d + 4*d, -5*g = 5*d - 10. Let u be g - 1 - 1*-6. Suppose -u*z = -16, 4*h + 0*h = 3*z + 28. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26201485*u**2*v**2 - 81255*u**2 + 3*u*v**2 - 972*u*v + 2*v**2 wrt v.\nAnswer: -52402970*u**2 + 6*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015003 to seven dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*r - 0*r + 725, 2*b - 578 = 4*r. Let t be 4\/(-60)*-3 + r\/10. What is the tens digit of 2\/4 + (-399)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4562 - (-14 - -3)) + 1. Which is bigger: i or 4576?\nAnswer: 4576","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*g + 15 + 43*g - 81*g)*(-7 + 7 - 2*g - 3*g - 2*g + 3*g + (-1 - 1 + 1)*(g - 2 + 2))*(0 - 1 - 1).\nAnswer: -40*g**2 + 150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26341 and 994.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 38*x + 3. Let r be f(0). Sort -107, 8, r, -3, -5 in increasing order.\nAnswer: -107, -5, -3, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-500)*300\/(-50)*(-40)\/6?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 90 = 2*a - 196 + 100, 2*g + 20 = 2*a - 0*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:29 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 11:24 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2970500 divided by 4.\nAnswer: 742625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.17674 micrometers in meters?\nAnswer: 0.00003317674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + -141. Let x = k - -567. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:38 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0)*(-125 + 29 + 2*c + 53).\nAnswer: -8*c + 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (-3 - 4). Let d = -7 - t. Factor 6*g - g**d - 9 - 3*g + 7.\nAnswer: -(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 1 + 3 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**2))\/(j\/(j**(-1\/9)*j)))**(-48) assuming j is positive.\nAnswer: j**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454793 greater than 2454794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 141 (b) 54930.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 - -0.21. Put -5, -4, r in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 66746 = 9*p - 48058. Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13790, -27527, -41264, -55001?\n\"Answer: -13737*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573426405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 1724800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9999, -40015, -90053, -160119, -250219, -360359, -490545?\n\"Answer: -m**3 - 10005*m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/21 - (-18)\/(-108))\/(17\/((-2261)\/(-190))). Let k = -4\/21 - -41\/105. Which is the closest to -3\/8? (a) l (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q + 1. Suppose -2*t + 6 = -d - 3, -3*d = -5*t + 23. Let b be j(d). What are the prime factors of 84\/105 - (-612)\/b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 + ((-6)\/(-36)*0 - 48\/6). Solve u*q = 203 - 251 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2071 and 54\/372571?\nAnswer: 40610239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -46*l**2 - 5*l + 5. Let h(k) be the third derivative of -23*k**5\/60 - k**4\/12 + k**3\/3 + 74*k**2 - 3. Calculate 2*g(d) - 5*h(d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326412418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 0.1562\nAnswer: -0.26554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 15*v**5\/2 + 243*v**4 + 4917*v**3\/2 + 7623*v**2 = 0.\nAnswer: -77\/5, -11, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55049836 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*26 + (-12 - 7) + 17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -11002120112221121?\nAnswer: 11002120112222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/8)\/w*w*w**6*(w\/(w\/(w*w**1)))**(-17))\/((w\/w**0)\/w**(-2)*(w\/w**(1\/4))\/w**7) assuming w is positive.\nAnswer: w**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 1882384?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4677 - 2343 - 156*b - 2337 in the form i + g*b and give g.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233 + 44*g + 233)*(2 + 2 - 6).\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/30 + 316\/6 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 1 (c) 3\/407 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.4 and 0.2337036403.\nAnswer: 9.6337036403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 9*j**2 + 9*j - 10. Let i be v(-10). Let k be (-1 + 1)\/(3 - 2). Is k less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5528 + -3?\nAnswer: a5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -1, -6, -2\/21, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99, -102, -105?\n\"Answer: -3*r - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -43\/4, 0.2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15 + (-70)\/14 + -3. Solve -3*p + z = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(2 - 0)*2\/(-4). Suppose -a = -z*a + a. Suppose 5*r = 4*s + 368, a = -2*r + s + 2*s + 150. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2184060 and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34 from -6740.\nAnswer: -6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -212, -177, -132, -89, -60, -57, -92, -177?\n\"Answer: -2*d**3 + 17*d**2 - 2*d - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/11 - 18*q**2\/11 - 16*q\/11 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1508 and 20.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2*q - 103. Let f be o(9). Put 2, 1, f in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -12 + 11 + (1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u**31)\/((u*u**(-2\/5)\/u*u**(-2\/3))\/((u\/((u*u**(-2\/5))\/u)*u)\/u*u**(-3))) assuming u is positive.\nAnswer: u**(-353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -245*n + 47241. Calculate u(192).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(26)\/sqrt(2) + -1 + (sqrt(13) - sqrt(117)) + -3 + (sqrt(208) + 1)**2*2 + 1*sqrt(208)*-1.\nAnswer: 11*sqrt(13) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 160, -94651, -2 in increasing order.\nAnswer: -94651, -2, 9, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Let l = -114.23 + 91.23. What is the nearest to 2 in -5, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14*d**(-2\/37)*d*d\/(d*d*d*d**(-11)*d)*d**0 assuming d is positive.\nAnswer: d**(849\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 23*l = 45. Let f(n) = -n**3 - 13*n**2 - 12*n - 3. Let t be f(-12). Put l, -2, t in decreasing order.\nAnswer: l, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-163)\/1467*(2 - 1). Which is the closest to -0.1? (a) 5 (b) 0.0808 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -401126310 by -3.\nAnswer: 133708770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215834*f + 215905*f = 2130 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2961 divided by -423\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15462 + -3156. What are the prime factors of k?\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10160\/4445)\/(22\/63)?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647209039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-10)\/(240\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus -31774686694?\nAnswer: 31774686694.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -0.06, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 950420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 2. Let f be k(-2). Suppose -5*c - y + 14 = -0*c, -y = -f*c. Suppose -3*l - 5*v = -0*l + 25, -c*l + 25 = -5*v. Solve -3*x = -l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -7 + -3 - -3) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 594788*-222\nAnswer: -132042936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*t + 32, -24 = 3*a + t - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - 69 - (-35 + 43).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkbbkkkbkeekkekkk. What is prob of sequence kk?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50452 + 50451.952074. Let a = 0.0478 + c. Round a to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {c: 8, t: 3, p: 2, s: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -7*w - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 14*g + 35. Let x be u(-11). Sort -2, x, -1, 1.\nAnswer: -2, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 236, -0.06, -78.7?\nAnswer: -78.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/224965 - -99209741\/39593840. Let n = x - 1\/176. Let k = -1.5 - -2. Which is the nearest to 1\/3? (a) 1 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 7*c - 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30*(8\/(-5))\/(-4). Let c = -8 + f. Suppose r - v = 2*r - 2, -8 = -r - c*v. Solve 0 = -r*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*l = 27960 - 880, -6760 = -m + l. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1808913*f**3 + 938698*f wrt f?\nAnswer: 10853478*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/2*(-1 - 1). List the prime factors of 2\/l + 30\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 + 10)\/(4\/2) + 0. Solve -16 = -n + 4*q, -3*q - 8 - 7 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 16*q + 50. Determine a(-7).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -4*o**4 + 444*o**3 - 13608*o**2 - 21168*o + 11015. Factor v(z).\nAnswer: -4*(z - 42)**2*(4*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8180, -8219, -8282, -8381, -8528, -8735?\nAnswer: -9014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 490 + -480. Let z(x) = x - 1. Let h be z(3). Suppose 2*d = h*k + 160, -k - 160 = -2*d - 3*k. Calculate the highest common factor of a and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from {r: 6, h: 9, e: 4}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(3 - 3 + 2)*(-243971 + 8*n**3 + 44*n**2 + 0*n**2 + 243971) to j + f*n + t*n**2 + z*n**3 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)*(-3016)\/104.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - u + 12, -69*r + 43*r + 22*r - 3*u + 41 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2306.56 to the nearest 10.\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*h + 8, -182*h = -3*z - 178*h - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -4, 3568, 4\/57.\nAnswer: -9, -4, -1, 4\/57, 3568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (sqrt(200) + ((1*sqrt(200) + -2)**2 - sqrt(200)))*-1).\nAnswer: -1242 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 16. Let m be (-135)\/3 - (-2 + 2). Let s be (-1)\/4 - m\/20. Solve n + i*n = -4*f + 4, -f - s = 4*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 8. Let o be 2\/6*-3 + 4. Suppose o*f + 5*p = -4, 27*f + 2*p = 28*f - 17. Calculate v(f).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459972 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/32 and -101\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157761007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 + 15*u + 5. Suppose -5*l - 2*l = -49. Let h be r(l). What is h rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655312 is divided by 1327345.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcciee. Give prob of sequence jiie.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/138060 and 29\/4602.\nAnswer: 138060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 196440719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -6, -2*f - 3*s + 31 + 28 = 0. Let d(v) = 121*v - 80. Is d(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -20*h + 401, -110*n + 70 - 8 = 3*h - 112*n for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*o - 49, -7*k = 165952*o - 165949*o - 89 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 476 = -w. Let m be (10\/2)\/20*w. What is the greatest common divisor of 68 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -15. Suppose -l*z - 3 = -q + 2, -5*q + 51 = z. Is (-15)\/q - (-1119)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/21)*j**(2\/31) assuming j is positive.\nAnswer: j**(104\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/88 and -79\/5072.\nAnswer: 55792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572806 a multiple of 1546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 131*w**3 + 3*w**2 + 3*w. Let k(n) = 263*n**3 + 5*n**2 + 5*n. Determine 6*k(o) - 10*q(o).\nAnswer: 268*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110.049 + 110. Let h = b - -0.013. Let m = 3.036 + h. What is the second smallest value in -1\/2, 5, -4, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:06 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 810. Let w be l(0). Let j = 850 - w. What is the remainder when 63 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -11 - (-2 + 3 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438752779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 divide 7102187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 13*w**2 - 10*w + 27. Determine x(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + r - 18, -2*a + 76*r - 80*r = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45212?\nAnswer: 2, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 2*k - 3. Determine s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrrrrrxrdrdrrxrrrr. Give prob of sequence xdd.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**5 + 935*i**4 - 63645*i**3 + 1870405*i**2 - 21246490*i + 58898520 = 0.\nAnswer: 4, 18, 47, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 102\/(-4) - 5\/10. Let v = f + 37. Solve 4*z - 2*x - x = 0, -v = -3*z + 5*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (16 - 5) + (-2 - -103 - (16 + -4)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-6)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13600.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**2 - k + 1. Give r(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-328)\/246*(8\/(-2))\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*((-324400)\/(-96))\/(-811).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20777205233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248*2829.\nAnswer: 3530592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtmtumtmttuuut. Give prob of sequence mmmt.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/18 - 7*w**2\/9 + 4*w\/3 - 163. Suppose s(k) = 0. Calculate k.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*s - 172*s + 395*s + 690 = 0 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -5. Differentiate 0*s - 16 + 0*s + v*s**3 + 27 wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 70*p + 13. Let x(n) = -71*n - 10. Let s(c) = 3*f(c) + 4*x(c). Let h(a) = -a**2. Calculate h(s(v)).\nAnswer: -5476*v**2 - 148*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8)*-2*-56. Suppose 0 = 3*g + j - 13 - 36, 2*j = g - t. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1073 + -627. Suppose -31*s = -5*s + 39*s - 2080. What is the remainder when i is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*r**2 + 0*r**2 - 4*r**2)*(2 - r - 2) + 3*r**3 - 2*r**3 - 7*r**3)*(0 + 3 - 1 + (-4 + 4 - 2)*(1 + 1 + 0)) to o*r**3 + n + q*r**2 + s*r and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4136*k**3 - 4*k. Let h(w) = -21391391*w**3 + 20690*w. Determine -2*h(q) - 10345*x(q).\nAnswer: -4138*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6 = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 869, 871, 873, 875?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/12 - -1\/4. What is the closest to -0.1 in 6, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -740210\nAnswer: 222063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416*0.35.\nAnswer: -145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -9) + (-36)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -32, 2.\nAnswer: -32, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5049183 + 5049183 - 37044*d.\nAnswer: -37044*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 354 - -2?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -177. Let t(m) = -m**2 - 2*m + 2. Let z be t(-3). Put 6, z, k in descending order.\nAnswer: 6, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-3)*(-3)\/2. Is 823\/1 - (k + 15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 3*l**2 - 2*l + 2. Let h(q) = 8*q**3 - 13*q**2 + 9*q - 9. Let n be 37\/(-4) + 9\/36. Give n*p(y) - 2*h(y).\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8) + 5\/2. Put a, -5, -4 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(1\/26). Let b = w + 15. Suppose b*q - 16 - 10 = 0. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b = -52*b + 435. Suppose 4*i + 919 = -5*y, -2*i - 477 = -y - 0*y. Let j = b - i. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 75 = -159. Is (515645\/s)\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7594.181 seconds in milliseconds?\nAnswer: 7594181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -10, 4, 0 in decreasing order.\nAnswer: 39, 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726571643 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)\/u*u\/((u\/u**(-1))\/u) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 1243*u + 35700. Determine h(-649).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q - 12. Let t be w(-12). What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*j**2 - 9*c*j + 3923*c - 5*j**2 - j wrt j.\nAnswer: -6*c*j - 9*c - 10*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109656 is divided by 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 111781 (b) -45 (c) -1\/4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2492 times -565\nAnswer: 140.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468577.6 weeks in minutes?\nAnswer: 4723262208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 9*f + 15, -5*m - f = -120. Let a(g) = 2*g**2 - 52*g + 53. Let z be a(m). Solve 0 = -3*r + 2*s + 4, -z*s + 14 = -2*r - 5*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 + 171. Let x(m) = -m + 1. Let f(r) = -26. Let w(c) = a*x(c) + f(c). Find the first derivative of w(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n - 18. Let r be l(8). What is the common denominator of 89\/8 and r\/120*(-46)\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 minutes before 2:08 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 133819208, 133819223, 133819246, 133819277, 133819316, 133819363?\n\"Answer: 4*c**2 + 3*c + 133819201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffajaiig. What is prob of sequence afai?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5687 + 14884. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -3 - 36\/3. Let r = c - -13. Let m(j) = 6*j**3 - j**2 + j + 1. What is m(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28388*x - 4947 = -14172*x - 14313*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1861366958?\nAnswer: 2, 11, 17, 19, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211210 (base 3) to base 15.\nAnswer: -5e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 26*b - 15*b + b + 22*b. Let f(l) be the second derivative of -l**4\/4 + 2*l - 35. What is a(f(c))?\nAnswer: -102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711115.\nAnswer: 5, 142223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -662, -1517, -2736, -4325, -6290, -8637?\nAnswer: -11372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3626, -3628, -3630, -3632?\n\"Answer: -2*s - 3624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*b*n**3 - 278*b*n*u - 3*n**3*u - 2*n**3 - 333*n wrt b.\nAnswer: 25*n**3 - 278*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 49 = -d - 0*w + 4*w - 34, -19 = 5*d - 2*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 1. Let f(n) = 5 - n + n**2 + 24*n - 7*n - 10*n. Calculate -f(o) + 5*z(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4407, -17881, -40333, -71757, -112147, -161497, -219801, -287053?\n\"Answer: g**3 - 4495*g**2 + 4*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c5 (base 13) to base 14.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6*(-12)\/686*7)\/(48\/(-36)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 6\/11, -4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*x - 10. Let f be 1 - (0\/x + -2). Solve f*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 11) to base 15.\nAnswer: -1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113980 divided by -5699?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543990688 to the power of 1\/2, to the nearest integer?\nAnswer: 67409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1 - 8)\/(-2). Let c = 5 + -1. Solve f = -v*f + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 - 8 - 6*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 13 + 5. Let y(v) be the second derivative of 0 - 3*v + 0*v**2 + 0*v**n + 1\/12*v**4. Let p(f) = -6*f**2. What is y(p(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.13, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44953.396 rounded to the nearest 100?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101011001000110 + -10000111?\nAnswer: 111101010110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-6))\/(4\/(-60)))\/(10\/(-50))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 18\/85, -2\/9, -1, -10, -0.1.\nAnswer: -10, -1, -2\/9, -0.1, 18\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 22 = -16, 5*u - 2*l + 21 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14982345 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k. Suppose -3*p + 7 + 8 = k. What is the remainder when 13 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 1\/60*u**5 + 0*u + u**2 + 2\/3*u**3 + 0 + 1\/8*u**4. Does 12 divide v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from skssssskssks?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47793421 to the nearest integer?\nAnswer: 6913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) 4\/3 (c) 6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6 and -119\/14626110.\nAnswer: 14626110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56333731 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/542390 and -103\/7300?\nAnswer: 5423900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-6426)*-30)\/(2\/6)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let s(p) = k - 5*p - 1. Suppose -8 = -3*d - 5*t, -t + 1 = 3*d - 3*t. What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.73 rounded to zero decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 22*c - 22*c + 3. Let o(w) = -w - 1. Let x be o(-4). Let z(t) = 2 + 2 - x. Determine -2*s(d) + 6*z(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007828227948 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 0*k + 2*k + 0*k - 8 + 5. Suppose -5 = -3*d + 7. Let w(p) = -1. Let h(q) = d*w(q) - y(q). Factor h(x).\nAnswer: -(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3601 is divided by 1378.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8493 + 8515. Solve 26*i - b*i - 12 = -2*t, -2*t + 2 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1881 and 3366?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0. Let s = 0.72 - -0.28. Let t be -6*2*(-2)\/40. What is the smallest value in t, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313096759*a**2 - 4*a + 47180371.\nAnswer: -626193518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.035425nm?\nAnswer: 0.0000002035425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -6. Suppose y + y = -v + 3, 4*v + n*y - 12 = 0. What is the first derivative of -4 - 5*w**3 + 11*w**3 + 0*w**v wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 - 45*i**2 + 238*i - 38. Calculate w(5).\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4) + -2 - -11. Suppose -y + 12 = 2*m. Let v(f) = f**2 - 10*f + 22. Let h be v(5). Which is the biggest value? (a) m (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4141 (base 5) to base 3\nAnswer: -202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6, -2*a - 24 = -p - 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23730, 23721, 23712, 23703, 23694?\n\"Answer: -9*m + 23739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 6139584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 2*s. Suppose -s*q - 4 = 8. Let t be 1\/q - (-4)\/16. Is t less than 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67*(-2 - -3)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*p - 237*p + 471*p.\nAnswer: 420*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1567668 - 1845?\nAnswer: 1565723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 565 = 1995. Let o = -444 + d. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 + (-4652)\/(-70). Let b be 12*2*(-11)\/4. Let r = o + b. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86256 + 0*v + v - 86263 - 3*v.\nAnswer: -2*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/6*(-1 + 7). Let b be (-70)\/a*18\/(-15). List the prime factors of (b\/(-14))\/((-7)\/(-98)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 17*j + 15*j - 125 - 95 = 6*o, 0 = 3*o + 5*j + 30 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h**2. Let i(u) be the first derivative of u**5\/60 - 57*u**2\/2 - 70. Let b(c) be the second derivative of i(c). Determine p(b(s)).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12 and -107\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 2. Let z(s) = 33*s**2 - 5*s + 15. Let r(d) = -598*d**2 + 91*d - 273. Let v(t) = -5*r(t) - 91*z(t). Calculate v(n(i)).\nAnswer: -1053*i**2 + 468*i - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3481811961 to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:30 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**3 + 22*s**2 + 21*s**2 - 109*s**2 + 42*s**2 - 2*s + 24*s**2.\nAnswer: -24*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -235*w + 239*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n*n**(-8))\/n)*n)**(-1\/11)\/(n**26\/(n\/n**(-4))) assuming n is positive.\nAnswer: n**(-240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1573))*-2)**2*3.\nAnswer: 264*sqrt(13) + 18888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/3*((-2)\/3 + 0). Suppose h*a = -2*a + 648. Suppose -5*q = -214 - a. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 1. Let t be j(2). Suppose -d = 3*v + 25 - 22, 0 = -2*v + d + 3. Suppose v = -2*p - t + 17. Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*w + 69*w + 38151 = 0. Calculate the highest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -3*b. Let d = -5 + 2. Let x be (40\/b)\/(d\/27). Calculate the greatest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 65*d**4\/24 - 4*d**3 + 4*d**2 + 4. Find the first derivative of h(r) wrt r.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108871 (base 10) to base 14.\nAnswer: 2b967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 - ((-12 - (44 + -2 + -9)) + 13).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 5a4?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 448.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -27. Suppose 4*a = -4*s + 399996, -3*a + 3*s + 0*s + 300003 = t. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -92*i - 48. Let l(s) = -45*s - 27. Let d(u) = -3*b(u) + 5*l(u). Let j(x) = 26*x + 5. What is -6*d(k) + 11*j(k)?\nAnswer: -20*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7376*o = 6164*o - 48480 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c*h**5 - 2*c*h + 2*c + 352*h**5 - 152*h - 1 wrt h?\nAnswer: -160*c*h**3 + 7040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -55 + (-320 - -423)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -128092*j + 128092. Determine n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + -12 - (23 + -17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuk when four letters picked without replacement from ukkkkkukkkkuukkkuku.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffififffffffifff. Give prob of sequence fii.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592 - 599. Which is the closest to -1? (a) -4 (b) 19 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 4*c + 2*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a - 5*a + 4*a)*(81 + 86 - 169) + a - 4*a + 4*a)*(19 - 19 + 26)*(3 + 0 - 1).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1022232020231?\nAnswer: -1022232020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 4*x + 0*x)*(-x - x + x) - 5*x**2 + 0*x**2 + x**2 in the form w*x**2 + b*x + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4\/5 + 12*c**2\/5 - 8*c\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10)\/x)\/x*x**(1\/9) assuming x is positive.\nAnswer: x**(-179\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 34*k**2 + 6*k - 141. Calculate the least common multiple of 728 and j(34).\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*q + 31*q + 22*q - 18*q as d*q + g and give d.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 p, and 1 t when four letters picked without replacement from cwwpwqtqpuq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -388*w**2 - 485. Let y(i) = -i**2 - 1. Determine 485*y(r) - z(r).\nAnswer: -97*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 8*w - 4. Let a be g(-6). Suppose -20 = 4*o + 3*t, -2*o - a = 2*t - t. Let f be (-1 - o)*1 - 2. Is f <= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 158, 170, 180, 188, 194?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 37936.\nAnswer: -37945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmonmmr. Give prob of picking 1 r and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 344 times -544\nAnswer: -187136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.6 (b) -27 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 <= -0.0792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1334\/9 + -148. Let k be ((-3)\/(-10))\/((-18)\/(-15)). Which is the nearest to k? (a) x (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 28535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s - 12. Let f(q) = -15*q + 23. Let k(y) = 6*f(y) + 13*m(y). Differentiate k(l) with respect to l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 8*l + 3. Let w be s(-8). Find the common denominator of ((-1)\/w)\/((-14)\/203) and -65\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.0000098 + -76. Round g to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/2 - ((-276)\/18 + 4))*(-291 + 0)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 3*l + 1. Let g = 1 + -5. Let r be h(g). Let w(d) = -d**3 + 4*d**2 + 3*d + 1. Calculate w(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, e: 1, a: 2, q: 6, n: 10}. What is prob of sequence aoqa?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6064*t + 45752 = -6365*t for t.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 21*l + 66. Calculate the remainder when v(21) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47528 and 867386?\nAnswer: 3469544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22087, 22080, 22073, 22066, 22059, 22052?\nAnswer: 22045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 149 + -4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 13163388?\nAnswer: 105307104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23)\/(l*l\/((((l\/(l**(-23)*l)*l*l)\/l*l)\/l)\/l))*l*l**(21\/5)*l**(-14)\/l assuming l is positive.\nAnswer: l**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -4. Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85129939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 27 + 3 = 0. Suppose -u*t + 164 = -576. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17754\/7 or -2536?\nAnswer: -2536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 444 and 381396?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53890537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 25021?\nAnswer: -25016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 1. Let s = 33 - 31. Let w(k) = 25*k + s*k**2 - 3 - 14*k - 11*k. Calculate 3*t(a) - w(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*l - 20 = 0, -3*l - 21 = -z. Is 71 a factor of (8236\/(-87))\/((-2)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 789488 + -789486. Solve 0 - 4\/15*j**h - 2\/15*j**3 + 2\/5*j = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 18. Give m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 27 in decreasing order.\nAnswer: 27, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12325 less than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(1584) + 0)*-4 - sqrt(1584))**2 - sqrt(1584)) + (sqrt(1584) - (-1*sqrt(1584) + 3)) + (-4 + -5*(3 + sqrt(1584)))**2)*-4.\nAnswer: 45840*sqrt(11) + 1591160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2\/49 (c) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 e when four letters picked without replacement from {c: 3, e: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:49 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = u + 4*u. Let f(l) = 0*l**2 + 5*l**2 - u*l**2 + 0*l**2. Let d(v) = -6*v. Determine f(d(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -564, -577, -606, -657, -736, -849, -1002?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40849.\nAnswer: 40849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 612.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 + -125.863. Let u = -23.537 + v. What is u rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q + 4265 - 4070 = 94*q - 14*n, 0 = 5*n + 75 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32296 rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 20 = 45*r - m, 3*r = -68*m + 66*m + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(3*m - 3*m + m) + 2*m + m - 2*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19868*n**2 - 43232*n wrt n.\nAnswer: 39736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -120 - -0.267\nAnswer: -119.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 11*x**2 + 17*x - 19. Let w be i(-8). What is the hundreds digit of w*(-152)\/(5 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f**5 + 7015660*f**4 - 11225104*f**3 + 4490048*f**2 = 0. Calculate f.\nAnswer: -280628, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - o = -3*o - 12, l - 5*o = -25. Let k(u) = u**2 + 6*u + 5. Let z be k(l). Which is smaller: 2\/19 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 6*h + 1. Let m be (-1)\/4 + 23\/(-4). Let j be i(m). Solve c = j + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6718, 99, -147 in descending order.\nAnswer: 6718, 99, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1212688.0237 - -1212633. Let q = k + 55. Round q to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 + 10*q + 4. Suppose -n + 4*n + 20 = 2*w, 10 = w - n. List the prime factors of r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*t + 6 = 0, -2*d - 3*t + 4*t = -10. What is the units digit of -2 + (4 - d) + 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -25. Solve 18 = -2*d + v*i, -8*i + 20 = -4*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(1*sqrt(9)) + -4.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -186 and -2764.08?\nAnswer: 2578.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -179, 159, 1013, 2557, 4965?\nAnswer: 8411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yybs when four letters picked without replacement from yysbdtvv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1034\/44 - 23) + (-4)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10796001 greater than or equal to -10796004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 11. Let f be a(7). Suppose -f*y - 2*q = -q - 32, -5*y = 3*q - 33. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 202300 = -15*j. What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(1\/2))\/h))**(-2\/19)*h**(-4\/5)*h*h\/h**(2\/19) assuming h is positive.\nAnswer: h**(89\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8.513 (b) 1\/2 (c) -17 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 2. Let b be (-1*(3 + -2))\/(-1). Let m be q(b). What is the tens digit of -2 + ((-30)\/m - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206126*v**5 - 2*v**3 - 58*v**2 - 3*v + 1629 wrt v.\nAnswer: -12367560*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4975*v = 4974*v + 2, -5*v + 4 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 7*k + 3. Let h be u(-6). Suppose 3*t - 103 = 4*d, 165 = -t + 6*t - 5*d. Let x be 18\/63 + t\/(-77). Sort x, -1, h.\nAnswer: h, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from jlllo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -480, -976, -1478, -1986, -2500, -3020, -3546?\n\"Answer: -3*s**2 - 487*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 484045 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 42 - 73 = 5*n, -3*a - 3*n = -39. Calculate the greatest common factor of a and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d + 123414. Let i(o) = 140*o. Determine s(i(u)).\nAnswer: -840*u + 123414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 5. Solve u*h - 4*h = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/8*(-134 + 138) + (6 - -1). Find g, given that c - 3\/8*g**4 + 9\/4*g**3 - 27\/8*g**2 + 0*g = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/10 - -73\/30. Let -4\/3 + 4\/3*k - x*k**2 = 0. What is k?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/4 - 141*p**4\/2 + 2009*p**3\/4 - 2019*p**2\/2 + 578*p = 0.\nAnswer: -289, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294390.\nAnswer: 2, 3, 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(272) + -5 + -1 + sqrt(272))*-2)**2 + -5.\nAnswer: -384*sqrt(17) + 4487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 22 + 140*h - 8 - 9 + 16 - 16.\nAnswer: 140*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 37. Let b(h) = -3*h + q*h - 79*h**2 + 1 + 183*h**2. Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-32))\/((-15)\/36). Let z = -2\/5 - s. Let b = -0.9 - 0.1. What is the third biggest value in z, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*g + 13*u = -315*g - 31, -3*u - 3 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/3 - 1. Let s = -7 - -11. Let f = -1.131 + 3.131. What is the second smallest value in f, v, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 351.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t - 4*t + 3*t - 11. Suppose 21*b = 9*b - 40 - 80. Give y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83624 and 1363.\nAnswer: 84987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 912077, 912079, 912083, 912089, 912097?\n\"Answer: y**2 - y + 912077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -2\/3, -5, -73?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6798 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1076 = 3*i - 3007, -1361 = -i - 5*z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978797045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-2020)\/4646)\/((-8)\/(-92)))\/(2\/(-36) - 0)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 291 + (-4)\/(-1) + 1\/(-1). Let a = l - 32. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20929 - -125467\/6. Calculate the common denominator of x and (-2)\/(-18)*556\/(-24).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-3420)*38*-18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.685625 millilitres to litres.\nAnswer: 0.004685625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 8*c - 12. Let v be k(-6). Let d = 1573\/5 - 316. Is d bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-3 + 3)) + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 896.3365l?\nAnswer: 896336.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -128?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438559.677 + 438336.013057. Let q = 223.57 + l. Let d = -0.094 - q. Round d to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18754868628 and 16?\nAnswer: 18754868612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1783 divided by 30463\nAnswer: -1783\/30463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5725535?\nAnswer: 5, 1145107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = -7*k. Let d be (k\/4 + (-3039)\/36)*-3. Suppose 0*j + 3*n = j - d, -4*n = -3*j + 762. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*a + 5, -p + 0*a + 29 = -2*a. Suppose -93 = 2*j - 99. Let o = -8 - -11. Solve -4*t - u + 3*u - 20 = 0, j*t - o*u + p = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1655*p + p**2 - 1458*p + 3113*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202600?\nAnswer: 2, 5, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 39111900 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s\/(((s\/(s**(4\/7)\/s))\/s*s)\/s)))\/((s*s**(-6\/7))\/(s*s**(-7)*s)) assuming s is positive.\nAnswer: s**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -462042.493 to the nearest one hundred.\nAnswer: -462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 629, 568, 507?\n\"Answer: -61*x + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 27 = -31. Solve -n + 4*v = -v + 12, 5*n - j*v = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 7*b + 5. Let l be n(4). Suppose -4*k + 23 = -l. Let u = -334 - -401. Calculate the remainder when u is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.7596038 rounded to zero decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 23*w + 40. Let q be a(22). Suppose v = 123 - 33. What is the greatest common divisor of q and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 17182?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - d)*(-3 - 2 + 0) + 1 - 3*d - 1)*(2*d + 0*d + d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 21. Let p be (-2)\/(-38)*-2 - (-144)\/(-76). Does 25 divide ((-30)\/c)\/(p\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 13 + -2)*-3. Let q = -22 - x. Calculate the remainder when 50 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777455166 less than -5?\nAnswer: -4777455171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85308.26 rounded to the nearest one hundred?\nAnswer: 85300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/80)\/((-18)\/60))\/(1\/(-12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3416 and 72163.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109715 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(-5)\/((u\/(u**2*u))\/u**(-11)) assuming u is positive.\nAnswer: u**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -50, -94, -152?\n\"Answer: -7*k**2 - 9*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4 - 1*(-152)\/16. Suppose 0 = -7*a + h + 3. Differentiate 80*z**2 - 2 - 6*z**4 - 80*z**a + 26*z**4 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 84 + 64. Let k = 3 - -2. Suppose 9 = -x*m + k. Which is bigger: 1\/22 or m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joj when three letters picked without replacement from jojrjorjjjj?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 931*n**2. Let l(p) = -118177*p. What is i(l(k))?\nAnswer: 13002162899299*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + 125. Let r = 18 + -6. Suppose -r*f + 9*f = -k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102631 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1*sqrt(52))\/sqrt(4) + sqrt(117) + 1))**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, z: 7, h: 4}. What is prob of picking 4 z?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 183 - 183 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.46? (a) -2\/15 (b) 6\/1127 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 319271163331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((36 - -54) + 6)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(80)\/(sqrt(15)\/sqrt(3)))\/(-2*sqrt(72) + sqrt(8)) + -1.\nAnswer: -1 - 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-60) + 2\/8. Let b(d) be the second derivative of -i*d**3 + 3*d + 0 + d**2. Find the first derivative of b(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -108. What is t rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 123?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -21. Let h = u - 0. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (12\/8)\/(9\/4 + -2) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-250)\/(-8)))\/(36*(-6)\/(-360)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-300)\/(-423) - 48\/1128. Factor -t - 7\/6*b - 1\/3*b**2 + 1\/6*b**3.\nAnswer: (b - 4)*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (sqrt(128) + -3*(-2 + sqrt(128)))**2 - (1*sqrt(128) + 3).\nAnswer: -192*sqrt(2) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74)\/481 + 440\/(-13). Let j(x) = x**2 + 35*x + 31. Let k be j(c). Sort 3\/8, 0, 0.4, k in increasing order.\nAnswer: k, 0, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1167 - -1166.5148. Let g = y + 0.5. What is g rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 232995?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -4)*(-344)\/30. Let u = -35 + p. Suppose a + 3*a = -4. Is a > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - ((-12 - -21) + (-10 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose -n = 3*c - 7, 0*c + x*c = -n + 4. Let h(q) = q**3 - 7*q**2 + 5*q + 8. Calculate the least common multiple of n and h(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {q: 2, n: 4, m: 10, o: 4}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043356853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*f - 45, 2*f + 6 - 1 = -5*n. Suppose -7*o + f = -2*o. Solve -o*r = r + 2*k - 17, k = -3*r + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 23012?\nAnswer: 22971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 55*j - 8587. Determine y(124).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 5*x**2 - 312*x**3 - 258*x**3 + 567*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, s: 2}. Give prob of sequence se.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280697.\nAnswer: 280697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/493 and 151\/51696.\nAnswer: 25486128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, y: 7, k: 3, w: 2, a: 1}. Give prob of sequence ka.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65962068583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.25 + -0.25. Sort 1, s, 8.\nAnswer: 1, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 2*i**2 - 5*i - 5. Suppose 0 = 5*q - q - r + 8, -6 = 3*q + r. Let x be g(q). Solve -x*y + a + 6 = -4, 3*a = 2*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -270.55407 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.36, 3, 0.3, -7, 0.49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -42. Let n = -5 - 1. Let y(f) = -f**3 - 6*f**2 - 2*f - 3. Calculate the remainder when x is divided by y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -5, 18.\nAnswer: -5, 18, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 96\/17, 15, 42 in ascending order.\nAnswer: 96\/17, 15, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270822*4.\nAnswer: 1083288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, w: 1, u: 1, v: 1}. Give prob of picking 1 r and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + -3.15. Sort -2\/19, u, 2\/7 in descending order.\nAnswer: 2\/7, -2\/19, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d - 49. Let f be g(4). Let h be (18\/(-10))\/(f\/(675\/9)). Calculate the highest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*x + 27, 5*f - 266 + 311 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-14)\/105)\/((-62)\/118854*-18)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 + 75*k**3 - 429*k**2 - 507*k = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -167, -0.4, -0.1 in decreasing order.\nAnswer: -0.1, -0.4, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q**2 - 5*q + 1. Let w(y) = 24*y**2 - 6*y + 1. Determine 6*m(z) - 5*w(z).\nAnswer: 24*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -73. Let w(r) = 2*r + 5. Let z(f) = f. Let y(s) = u*z(s) + w(s). Suppose 10*l + 2*l = 84. What is y(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = 1. What is s in -6*s - 4*s**2 + 4 + 4*s**2 + o*s**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42791194 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-27)*-2*(-5)\/(-20). What is the closest to 2\/3 in i, 2, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 3*c - 4, 0 = 5*b - 3*c + 11. Let f be (-124)\/(-7) + b\/(-14). Suppose 35*j = 146 + 519. Is f at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.3 or 84534\/29?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24 + 1 - (21 + -23). Suppose -5*u - 4*q + t = -0*u, -3 = -q. Solve -2*w - u*w = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 15*a + 19. Solve 5*d - 2 + 22 = a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 218 in -1\/8, -2\/3, -11.6, -1\/7, -0.17?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207140761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10504398407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -623, -628, -645, -680, -739, -828, -953, -1120?\n\"Answer: -x**3 + 2*x - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z + 46*z - 1119*z - 167*z to the form x + d*z and give d.\nAnswer: -1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. Let b be (10 + 3 - -2) + k. Calculate the greatest common factor of 91 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - y - 26*y**3 - 28*y**3 + 83*y**2 + 16*y**3 + 36*y**3 as x + p*y**3 + t*y**4 + w*y + u*y**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 27530 = -2*o, -2*o - 3*q + 8330 = -19216. What are the prime factors of o?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234767 is divided by 744393?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24618.22s to microseconds.\nAnswer: 24618220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 388115\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1 - 5*i**2 + i**2 + 3*i**2 - i**3. Let x = 114 - 114. Calculate r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 1 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173184402.\nAnswer: 2, 3, 2143, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + -130. Suppose 4*h - s*z = 3*z + 21, 5*z = -3*h - 28. Which is greater: -4\/63 or h?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 2*f**5 - 2*f**2)*(1 + 2 - 2) + 3*f**5 + 44 - 44 - 2*f.\nAnswer: 5*f**5 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 13 + -31 + 2 - 0 - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 + 59625*w**2 + 195175875*w + 101174629375 = 0. What is w?\nAnswer: -5645, -635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*z - 4*f, 5*z + 10 + 7 = -2*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/108388 and -41\/35392.\nAnswer: 1734208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from rliomoo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t*y**3 + 10475*t*y**2 - 15*t*y - y**3 - 2*y**2 + 628 wrt y?\nAnswer: 24*t*y + 20950*t - 6*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(190) + 1*sqrt(190)))\/(2*sqrt(810)) + -3.\nAnswer: -3 + 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-3)\/3)*35\/14. Which is the third biggest value? (a) 0.3 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.56 - -2.06. Let v = k - -65. What is the second smallest value in 5, v, -5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aagiigigaii.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -9.9?\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l + 9. Suppose q = 5*c + 1, 0 = -3*q - c - 20 + 7. Is d(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 13572 = -g. Let t = 352 - g. Solve -9 = t*v + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532 + 90 = -367*v - 1947 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/12, 0.01452, 1, -4, -2, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0*x - 5 + 0*x + x + 0*x. Calculate the least common multiple of -1 + -1 + 3 - 0 and k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838314287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -494, -495, -496, -497, -498, -499?\n\"Answer: -a - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 2\/17, 0.12, -2\/11, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 12*u - 16. Let j be k(10). Solve 0*p = -p + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 10*c - 30 = 0, 14*z - 15*z + 110 = c + 113 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8801811*j**4 - 1003639?\nAnswer: -35207244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 - 11*w**4\/24 + 7*w**3\/6 - 8*w**2. Let c be d(3). Let r = 43 + c. Are 0 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.335 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 7. Let w be (8\/(-6) - -1) + (-13 - 299\/(-69)). Calculate c(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/11 - 6486*h**4\/11 + 1198*h**3 + 58410*h**2 = 0. What is h?\nAnswer: -3245, -9, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/(6\/(-8469)). Let v = s + -1177. Suppose -4*y + v = -227. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*n - 5, 5*a + 3*n = -n - 11. Let j(i) = -i. Calculate j(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 2632613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -34*j**2 - 3*j + 1. Let m(r) = -r**2 + r. Let q(x) = -m(x) - z(x). Let i(c) = -75*c - 437. What is the remainder when q(1) is divided by i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 3273680983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -62.8. Which is greater: 1\/6 or b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 - 3 - -3)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from buuuuuuubuuuub.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -279422600 to the nearest one million.\nAnswer: -279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - 3*c - 2380 = 0, -5*r = 3*c - 3002. What is the highest common divisor of 5681 and r?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9729, -19458, -29187, -38916, -48645?\nAnswer: -58374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5757011 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 133. Let x be ((-39)\/(-4))\/(p\/8). Suppose 0 = 36*h - x*h + 93. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 793602445 + 2*b - 793602447.\nAnswer: -13*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106381, -106388, -106395, -106402?\nAnswer: -106409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/(-280) - (32\/28)\/4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 912 + -1377. Let u = 104556381.00211 + -104555916. Let m = a + u. What is m rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -18. Suppose 4*a - 2 = z. Differentiate -a - 5*r**3 + 8 + 2 + 0 with respect to r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - a29?\nAnswer: -a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29926261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*(-7 + 1). Let b = 33226\/9 - 3692. What is the biggest value in 0.4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1189, -1206, -1239, -1288, -1353, -1434, -1531?\nAnswer: -1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 146.68\nAnswer: 586.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 63*v - 10. Let z be g(-16). Let s(p) = -p**3 + 5*p**2 + 6*p - 6. What is s(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - 1\/(2 + -1). Solve -17*f = -15*f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 1\/69 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54834 - -10955. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2549 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*u + i = 831*u - 1, 0 = u - 3*i - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -26 + 5 + 20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29891500 by 4.\nAnswer: 7472875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 8*a**2 + 12*a**2.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101918868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/33)\/(52\/(-78)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122196 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: Convert 501 (base 7) to base 6.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14487 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*w + 27*w + 45 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8\/60*-2952*(-85)\/34 and 123?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0*k + 0*k)*(-653*k + 1456*k + 793*k) + (0*k + k - 2*k)*(2*k - 2*k - 2*k) in the form a + o*k**2 + l*k and give o.\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 733, 732, 723, 700, 657?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3*(1 + (-60)\/54)). Let f(a) = 19*a**2 - 7*a - 10. Let z(r) = 10*r**2 - 4*r - 5. Give d*f(h) + 5*z(h).\nAnswer: -7*h**2 + h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 2*w. Let s be 1\/2 + 14\/28. Let m(k) = k + 1. Give s*i(u) - 2*m(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-534*c + 623*c + 1 - 4)*(-3 + 0 + 1)*(4 - 5 + 4).\nAnswer: -534*c + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50313 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000054501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 6*d - 1. Let u(p) = 6*p**2 + 641*p - 482. Let h(q) = u(q) - 4*v(q). Find the first derivative of h(w) wrt w.\nAnswer: 4*w + 617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -707, -670, -593, -464, -271, -2, 355, 812?\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-409383)\/(-325407))\/(6\/62)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20815+417.163\nAnswer: -20397.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14)**(-5\/13)*(q*q**(1\/6))\/q**22 assuming q is positive.\nAnswer: q**(-2045\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-120*t**2 + 96071 - 96071)*(3*t**2 + 0*t**2 - 5*t**2) to i*t**2 + m*t + h*t**4 + q + b*t**3 and give h.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264279.\nAnswer: 2264279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.06 - -0.06. Let c(d) = 17 - 29 + 22*d - 38 - 20*d. Let f be c(17). Sort f, 1, y in increasing order.\nAnswer: f, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 2*y**2 - 2*y - 3. Suppose -2*m + 5*g = -1, -4*g + 0*g = 2*m + 8. What is z(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244158 is divided by 243605.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 31 + 622*r - 10 - 2.\nAnswer: 622*r + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (4\/2)\/(-1). Suppose 4*y - h - 4 = 0. Solve 0 = 2*x + r - 11, y*r = -2*r + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 2*q + 2 + 0*q - 3. Let n(i) = i - 2*i + 12*i + 2. Determine -3*n(x) - 8*t(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-1)\/((-15)\/(-18) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/3612*43)\/((-1)\/6))\/((-10)\/(-380)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 371090 and 1720.\nAnswer: 1484360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10)*w*w*(w\/(w*w**(-14)*w))\/w*w*w*w**(3\/7)\/((w**(4\/3)*w)\/w) assuming w is positive.\nAnswer: w**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*s - 1 = 0, 5*r + 5*s + 0 - 5 = 0. Let x be (1 + -2)\/(-1) - -1. Suppose -x*t - r = -3*t. Solve t*a - 7 = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and -71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and 0.0329?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**4 + 63*h**3 + 117*h**2 + 93*h + 27 = 0. Calculate h.\nAnswer: -9\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14 = 5*v - 6, 4*f = 4*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -141? (a) 1.59 (b) -1 (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 27. Let l be g(0). Suppose -29*i + l*i + 6 = 0. Let c(f) = -f**3 + f - 2. Let p be c(-2). Solve -k = -p + i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316993604?\nAnswer: 2, 431, 183871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.82 + 19.3904. What is w rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1128704*x**3 - x**2 - 1024570*x.\nAnswer: 6772224*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824377 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48990116?\nAnswer: 2, 7, 1749647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5202 (base 15) to base 2.\nAnswer: -100001110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-12 - (14 - (-13 + 20))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.770523ml in litres?\nAnswer: 0.009770523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*(3 - 12). What is the common denominator of (-6)\/(-16)*(-602)\/21 and 106\/(-60) - (-2)\/x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from {y: 13, t: 1, f: 1, a: 2, j: 1, e: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 3*w. Let c(d) = 3*d**2 + 2*d. Suppose 2*j - 3*t + 28 = 0, 0 = -4*j - t + 4*t - 68. Let a be 1\/5 + (-36)\/j. What is a*z(f) + 3*c(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from ftttfffitttttt?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710775669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 3436.\nAnswer: -7\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 13*z + 2. Suppose -7*d - 72 - 19 = 0. Let j be g(d). Let h(b) = 6*b**2 - 10*b**j + 7*b**2. Let c(y) = -3*y**2. Give c(h(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-2))*w*w**(3\/8)*(w\/(w**(-3\/5)*w))\/w**(3\/5) assuming w is positive.\nAnswer: w**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-20))\/((-1450)\/(-40))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -368*x. Let o(n) = -4*n**2. Give o(v(h)).\nAnswer: -541696*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15523 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -147\/58421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-12) + 377\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -7. Suppose 4*u - 8 = 4*b, 5*b = -5*u + 7*u - 16. Let o be q*(u + 2)\/3. Solve o = -3*c + 2*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 + l - 6 + l. Let d be p(3). Let t(b) be the first derivative of -b**4\/4 + 2*b**3\/3 + 2*b**2 - b + 1. Determine t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*p - 92 = 381, 15 = -3*p. What is the greatest common divisor of v and 640?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.093 - 10674\nAnswer: -10673.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.2 (c) -2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 2*a - 2. Let x be o(-2). Let z = 46 - x. Suppose -4*h + 99 = 5*w, z = 4*w - 2*h - 54. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179282012 is divided by 293.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 6*d**2 - d - 3. Let f be y(-6). Let x(h) = -h**3 + 1 + f - 2*h + 3*h**2 - h. Suppose 4*i - 5*v + 3 = 0, -i - 6 + 3 = -2*v. Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*g + 2291 + 11453 = 4134 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.87? (a) 0.4 (b) 3 (c) 15\/7 (d) 0.05 (e) 1\/2 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 10. Let j be v(-9). Let c be 6\/6*(j - -1). Suppose 2*u + 0*u + s - 41 = c, 2*u + 5*s - 45 = 0. What is the highest common factor of 160 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 0*j**2 + (9*j + 6*j - j)*(1 - j - 1))*(1 + 5 + 0)*(-2 - 1 + 4).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6 + 0)\/(-2). Let v(n) = -n**3 + 6*n**2 + 3*n - 13. Let b be v(6). Let f(j) = j**3 - 6*j**2 + 7*j - 2. Let d be f(b). Does q = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.99 - -5. Let i = -0.09 - t. What is the closest to i in 0.5, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 10464768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -341, -366, -391?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 505 - 645. Calculate the smallest common multiple of 33\/(-5)*-3*b\/(-21) and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 110812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 9937035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 + -4)) + 6 - (58 - -28) - 13?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**2 + 22*b - 21. Determine t(6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -49, -91, -117, -121, -97?\n\"Answer: i**3 - i**2 - 56*i + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-5)\/sqrt(8) - (sqrt(684)*5 - sqrt(684)).\nAnswer: -29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 3*f + 72. Suppose 4*l - 8*g + 4 = -3*g, -g + f = 2*l. Solve -l = -0*p - p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7110413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {h: 1, e: 5, q: 2, s: 6, i: 1, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1346968184*f**2*n - 2*f*n - 12909*f + 5326 wrt f.\nAnswer: 2693936368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -3. Calculate the least common multiple of w and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5.8. Let f = j + -2.2. What is the nearest to f in -2\/7, 0.2, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i - 75. Let c = i + 43. Let j be 25 - (0\/(-1) + -2). Calculate the highest common divisor of j and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f - 6*f + 6*f + f as n + y*f and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4227 - 2552. What is the least common multiple of s and 1340?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.05, -1674?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 9*c**2 - 390*c + 792 = 0. Calculate c.\nAnswer: -11, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-27)\/(c**(-2\/7))**(2\/151))\/(c*c**(1\/3)*c*c*c\/(c**4\/c*c))**(-1\/53) assuming c is positive.\nAnswer: c**(4539394\/168063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -573612 or -0.643?\nAnswer: -0.643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 12. Suppose 2*x = 5*j - 33, j = -0*j - 1. Calculate the remainder when 10 is divided by t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**4\/8 + 8649*v**3\/8 + 85347*v**2\/2 + 162051*v\/2 = 0.\nAnswer: -2843, -38, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*g + 5 = 0, 8*p + 215*g - 9 = 214*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 60. Suppose 0*i = -f*i + 660. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o\/(o\/((o\/(o*o**1))\/o)))\/o))\/o)**20\/((o**(1\/2)\/o)\/o)**(-9\/13) assuming o is positive.\nAnswer: o**(1533\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 16 = 3*n - 4, 5*n + 5*v + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 5458452.\nAnswer: 21833808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310 (base 6) in base 4?\nAnswer: 33102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 195\/(-26)*(-4)\/(-3). Let d = f - -13. Suppose -d*s + s = -100. 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: Expand s**2 - 3*s**2 + 6*s**2 + (8 - s - 8)*(15*s + 2 + 7*s - 43*s + 13*s).\nAnswer: 12*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let t = 10 + a. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -4. Suppose -o = 4*k - 6*o + 63, 0 = -x*k + 2*o - 78. Which is smaller: k or -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/8 + 312\/32. Calculate the greatest common divisor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h + 4*q + 28 = 0, 0 = 5*h + 3*q - 66. Let t be 1218\/9 + 2\/3. Suppose y - t = -3*y. What is the remainder when y is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113543100 + 1?\nAnswer: -113543055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662 is divided by 157.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 5, q: 3, c: 6, s: 1, t: 1}. Give prob of picking 1 b, 1 t, and 1 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -8*z - 4*c + 96 + 23, 0 = -2*z - 3*c - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9704743 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2424748 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.2, 0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 1. Let h be k(-1). Let u(d) = -4*d - 3*d**2 + 2*d**2 + 6*d + 4. Let p be u(h). Sort -1, -2, p in ascending order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1192 - 7*f - 969 + 1985 + 6*f - 3*f to the form j*f + u and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Suppose -3*y = -w - w + 7, 17 = -2*w - 5*y. Let x = -3 - 2. Which is the nearest to w? (a) o (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - (-522)\/(-36)) + (-1621958)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 2116*v**3 - 278459*v**2 + 33856*v + 4455600 = 0.\nAnswer: -1975, -141, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/704? (a) 73 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.96472 + -0.03528. Which is the nearest to 2? (a) u (b) -2 (c) 2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54954093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -98. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054329 rounded to four decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-3)\/9*5*22\/(-55)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 l when four letters picked without replacement from {h: 3, e: 1, r: 6, z: 1, n: 3, l: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8*6*-530. Suppose -4*m - 5*j + 257 = -379, -5*m + b = 5*j. Suppose -2*x = m - 463. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28537131, 28537132, 28537133, 28537134?\nAnswer: 28537135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/2 + 71*a**3\/2 + 1239*a**2\/2 + 2269*a\/2 + 550.\nAnswer: (a + 1)**2*(a + 25)*(a + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*j, 2*j - 5 = m + 4. Suppose t = -44*a + 41*a - 29, 12 = 3*t. Is a at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4489187 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 - 292. Let p = 289 + r. What is the remainder when p is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmfw. What is prob of sequence fw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 784075 - 374075. Round y to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + 5*b**2 - 29*b + 16. Let x(z) = -z**3 - z**2 - 3. Give q(v) + 5*x(v).\nAnswer: -3*v**3 - 29*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 35*x**2 + 54. Let a(k) = 29*k**2 + 45. Let f(y) = 6*a(y) - 5*q(y). Suppose w - 2*c = -10, 4*c = -3*w - 0*w + 20. Calculate f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:44 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 5214*o**2 + o + 5219*o**2 - 10431*o**2 + 0*o - 4*o.\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ooosqosoossoossyoys.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v + 9*v + 12241 - 12233 + (2 + 1 - 2)*(-v + v + v) as n + x*v and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3684732411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 3*g + 4*g)*(-2 + 2 + 1) + 1 - 2*g - 1 + (-3*g - 6*g + 3*g)*(-1 - 1 + 1) - 2 - 2*g + 2)*(-972 + 74*g + 972).\nAnswer: 222*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6572459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -104, 5, 176 in descending order.\nAnswer: 176, 5, -21, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 22*l + 448. Is w(-9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j. Let y be (-8 + 0)*2\/4. Let n be (y\/6)\/2*-12. Let r be d(n). Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 23*o + 68. Let t be n(5). Factor -4*m**4 + 0 + 0*m + 0*m**2 + 8\/3*m**t + 4\/3*m**5.\nAnswer: 4*m**3*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -1618, -3147, -4676, -6205?\nAnswer: -7734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttt when four letters picked without replacement from ztbbtbtttttbztttttb?\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 37*m = 96. Calculate the remainder when m is divided by 14\/(-8)*8\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7272 and 156.\nAnswer: 94536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53aa2 + 5?\nAnswer: 53aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 x when four letters picked without replacement from xtxttxxxxctxxtttxttt.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6365997*w**2 + 5745800 wrt w.\nAnswer: -12731994*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + n - n)*(1 - n - 1) + (8*n - 6*n - 3*n)*(77 - 6*n - 77) to p*n**2 + i*n + u and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 28\/8. Solve -p = -m, 0 = -8*p + 3*p + 4*m + y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/72)\/(-7)*9*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087346563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + i - 65 - 22, 5*i + 195 = 5*q. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/3 + 29339*i**2\/3 - 215296880*i\/3 + 1505640892\/3 = 0.\nAnswer: 7, 14666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 - (-38)\/9. Suppose -3*b = 15, t*i + i - b - 5 = 0. Solve 0 = v, -5*d - 2*v = -i*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*j + 622 = 0, -3*a + j = -j - 373. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, j: 3, u: 8}. Give prob of picking 1 u, 1 c, and 2 j.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 + 352. Is u - 8\/12*-3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5048051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 250, 785, 1892, 3859, 6974, 11525?\n\"Answer: 48*z**3 - 2*z**2 + 205*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -16588795 > -16588785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2790889 or -2790886?\nAnswer: -2790886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, u: 1, m: 1, v: 2, h: 2}. Give prob of sequence kuv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, j: 9}. What is prob of picking 2 j?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 137358, 0.1, 2, 0.4, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -2)\/(2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(345270\/(-5416))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 458 - 259. What are the prime factors of c?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(8\/12*3)*(-1230)\/(-615)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*u - 4 = 0, -5*s - u = -2*u + 20. Let l = 19 + s. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/2 + (-4)\/2. Suppose 0 = 4*x - i + 4, x - 4*x = -g*i + 20. Put 5, x, 3 in ascending order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 72, 1.466?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 5*n**2 - 84*n + 2483. Calculate j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102234204 (base 5) to base 13.\nAnswer: 120c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 317 (c) 14 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*r**2 + r**5 - r**4 - 19*r**2 - 3*r**3 - 2*r + 47*r**2 = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*r**2 + 24*r**2 + 8 - 63*r**3 - 8*r**2 with respect to r.\nAnswer: -189*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 6*c**2 - 76.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 1:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5 and 3 - ((-83)\/(-4) + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4 + 14*l**3 - 10*l**2 - 150*l = 0?\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 + 219*i + 23330 - 243*i - 23313)*(5*i + 0*i - 2*i) to a*i**3 + k*i**2 + n*i + q and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - -5 - (-1 + 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 17 - 66 + 165. Calculate the remainder when 231 is divided by k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 597, 1342, 2387?\nAnswer: 3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -3\/7, -0.02, -2, 6363?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87661 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18091 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 91*d + 283. Determine o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 5*h + 4. Let y be n(2). Suppose 0 = b + y*b - 460. Calculate the lowest common multiple of 114 and b.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -42.5.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10141 (base 5) in base 7?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 - 2*g + 5. What is y(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + 832. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -62.5. Let t = -1.84 + 0.04. What is the second biggest value in d, 5, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0 - 3 + 61*f**2 + 51 + 18*f - 62*f**2. Let t be a(20). Solve -5*s = -3 + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + v + 2*v)*(5*v - 3*v - 3*v)*(6 + 5*v - 6).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37\/4 in -0.6, -0.5, -4, 1\/91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-35))\/((-4)\/(-60)). Let c(a) be the second derivative of 0 - 2*a + 5\/6*a**o + 2*a**2. What is the derivative of c(h) wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81178 times 22.141\nAnswer: 1797362.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/12367 and 7\/332.\nAnswer: 49468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = -2*w + 9*p + 2, 0 = 5*w + 3*p - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/25)*j)\/(j\/(j**(-15\/2)*j)))**(-9) assuming j is positive.\nAnswer: j**(2493\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*w = 3, n + 7 = 4*n - w. Suppose 0 = z - l - 12, -2*z = 2*l - 6*l - 32. Calculate the greatest common divisor of n and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xppxppxxpppppp. Give prob of picking 3 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 112*j**2 - j - 2. Suppose -2*n + u + 95 = 0, -5*n + u + 209 = -21. Suppose 41*m - n*m = -4. Is 13 a factor of i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or 2737?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18662 and 124.\nAnswer: 37324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 5*k + 3. Let h be b(5). Suppose -8 + 33 = 5*q + h*g, 5*g = -2*q + 10. Suppose -q*z = -64 - 91. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 8*k**2 + 10*k - 4. Let a be r(9). Let s = 24 + -27. Sort 2, s, a.\nAnswer: s, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 213, 201, 171, 117, 33, -87, -249?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 2, a: 1}. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6374063 and 1824.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8894*x + 4449*x + 4450*x - 117*x**2 + 2*x - 2*x**2 - 2*x + (3*x**2 - 5*x**2 + 0*x**2)*(0 - 2 + 4) + 0 + 0 - x**2.\nAnswer: -124*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11395.225 - 3?\nAnswer: -11398.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = 3*n - 8*l, n - 13 = -2*l. Suppose n*f - 16 = f. Solve -2*x + 25 = -5*o, -f*o + 13 = -0*x + 5*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17404518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4196268715830 + 0.3\nAnswer: 4196268715830.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 + 4*l - 5. Let x be (8 - 3 - -1)\/(-1). Let m = x + 1. Let w(n) = n - 1. Calculate m*w(z) + g(z).\nAnswer: -z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*r**3 - 44\/5*r**2 + 178\/5*r - 136\/5.\nAnswer: 2*(r - 17)*(r - 4)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19906 and -338400\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -4\/2273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1441*b - 14437. Determine u(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + ((-2)\/(-2) - 3). Suppose -2*t = 3*y + 9008, 0*y = -y + o*t - 2992. Round y to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 - 1073*t**3\/4 + 189437*t**2\/4 - 1107543*t\/4 + 411687 = 0 for t.\nAnswer: -1228, 3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-2))\/(15\/(-30))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -0.5. Let k be (4 - (-9 + 12)) + (-3 - 8\/(-6)). Let z = 1 - 1. What is the closest to 0.1 in f, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213800723 to the power of 1\/2, to the nearest integer?\nAnswer: 34840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.302 and 173.352 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 866807 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17 + 27*q - 51*q - q**3 - 5*q**2 + 22*q. What is the tens digit of x(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460896 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 17. Let c be o(-7). What is the third derivative of -c*h**3 + 3*h**2 + 10*h**3 - 5*h**5 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 7:39 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-21\/4)*u*u*u**(-13))**(-2\/23) assuming u is positive.\nAnswer: u**(53\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 20*f - 41. What is the remainder when 67 is divided by j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 8*b**2 - 8*b + 9. Let t be f(7). Are t and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 34, 0, -68, -182, -354, -596, -920?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -136. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -373 + 378. Solve -4*k = -n - 15, -g*n - k = k + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200912511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3 - 4 + 0*o)*(1407*o - 1407*o - 5*o**3).\nAnswer: 5*o**4 + 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2506 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**3 - 7 - 131*v + 109*v**2 + 101*v - 71*v**2 wrt v.\nAnswer: -30*v + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3324*j**2 + 116761*j?\nAnswer: 6648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5211.51 + 5245. What is g rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 + 2. Let r(j) = -36*j**2 + 7. Let l(b) = -7*n(b) + 2*r(b). Let v(x) = 219*x. Give l(v(q)).\nAnswer: 239805*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -143 - 433. Suppose -26*i = 8*i - 263 - 553. What is the greatest common divisor of i and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452616 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14877*v**2 + 72*v - 72. Let a(q) = 1026*q**2 + 5*q - 5. Calculate -72*a(w) + 5*g(w).\nAnswer: 513*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d + 54 = 3*v, 0 = 2*v - 4*d - 6. Let q(g) = 1021*g + 27. Let t be q(v). What is t rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1 + -3 + 3). Let i(j) = j**3 - 14*j**2 + j - 13. Let m be i(14). Sort m, y, -5, 4 in descending order.\nAnswer: 4, m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396891.\nAnswer: 7, 342413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**2 + 8*c**2 - 8*c**2.\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17006419 and 346.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*j = 5*p + 10, 5*p - 3*j - 22 = 0. Let q(c) = 2*c**3 + 2*c**2 + c - 3. What is the tens digit of q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92226, 184448, 276668, 368886, 461102?\nAnswer: 553316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 571969875 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161801830 by 169426.\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851 + 7670\/9. What is the common denominator of o and -137\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h. Let b be w(-5). Suppose b*c = 12 + 8. Suppose -38 + 146 = c*m. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*u - 64, u = -3*f + 6*u + 48. Let x(w) = 33*w + 12. Let o be x(4). What is the highest common divisor of f and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -139*m**3 - 747*m**2\/2 - 75*m. Find the first derivative of t(s) wrt s.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c86 - -83a?\nAnswer: 15c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 916608 and 44268.\nAnswer: 15582336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -150316?\nAnswer: -150321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a - -49a7a2?\nAnswer: 49a736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -198*t**2 + 1401*t - 98. Give h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 4*o - 4. Let l be v(4). Which is the closest to -0.1? (a) l (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0132 plus -298516328?\nAnswer: -298516327.9868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 0*h**4 + 3*h**4 - 2*h**4 - 2*h**4 + 2*h**4 + (3 - 3 - 2*h**2)*(-2*h**2 - 16*h**2 + 10*h**2).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 169729914, 169729913, 169729912, 169729911, 169729910?\n\"Answer: -n + 169729915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**6\/90 - 128*d**5\/15 + 515*d**4\/12 + 1640*d. Let b(a) = 0. What is a?\nAnswer: -515, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.955 + 0.045. Let r = 0 - -0.2. Which is the closest to r? (a) i (b) -2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16309 - 16304. Solve -2*g - 4*k + 10 = 0, 0 = j*g + 5*k - 10*k - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((279837\/124)\/(-51))\/3\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1.6, 155, -7?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 2*w + 14. Let m be f(8). Let r(n) = n**2 + 4*n - 7. Let q(z) = z - 2. What is m*r(j) + 7*q(j)?\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -548986 take away -609?\nAnswer: -548377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 15*d**2 - 30*d**2 + 39 + 0 - 10*d**2.\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -102894.7494 to the nearest ten.\nAnswer: -102890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z - 18. Let p(s) = s**2 - 4*s - 19. Let w(g) = 6*p(g) - 7*r(g). What is the smallest common multiple of 78 and w(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*a - 1 = 8, h + 5*a + 4 = 0. Let n be ((-9)\/5)\/(39\/(-130)). Let i be (-2)\/8*-2*n. Solve 1 = -r - q - h, 3*r - i*q = -18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, -3, 0, 2 in descending order.\nAnswer: 5, 2, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**4\/24 - 2*i**2. Suppose 4*c + w = 19, 2*c - c - 5*w = 31. Let z(q) = -6 - 3*q + c + 6*q. Calculate t(z(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.79 (b) -4 (c) 1 (d) -5\/537\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5572684, -11145302, -16717920, -22290538?\nAnswer: -27863156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**21*a)\/a*a\/(a**(1\/3)\/a)*a**(1\/23)\/(a**(2\/41)*a) assuming a is positive.\nAnswer: a**(61280\/2829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*r + 17892, -362*w + 359*w + 8948 = r. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 9. Determine l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 34.15603671074?\nAnswer: 34.45603671074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1225361*l - 397 + 397.\nAnswer: -1225361*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:39 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*(-154)\/(-231).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1512 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0223 + -231.9777. Let p = -231.796 - v. Round p to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/140 and 109\/12272?\nAnswer: 429520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 40 - 35 = 0. List the prime factors of f\/4 + 30\/40 + 42.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*sqrt(19)*-2 - (sqrt(19) + -4 + 5)))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 60, 97, 136, 177, 220, 265?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 66328*u**2 - 270124900*u + 40285306944.\nAnswer: -4*(u - 144)*(u + 8363)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Let k = 4 - 4. Suppose k = -m + 6 - 2. Suppose 15 = -m*c - 1. What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10344.88 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cruuuujjcuucuj. Give prob of picking 1 j and 1 c.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let l(t) = 5*t - 4 + 2*t**2 - 4 + c. Let k be ((-3)\/8)\/(99\/(-16) + 6). Let v(j) = -j + 1. What is k*l(r) + 10*v(r)?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35944773301 - -28?\nAnswer: -35944773273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -0*d. Let v(c) = c**2 + 2*c + 3. Let i be v(-8). Let l(n) = i - 3*n + 2*n - 49. Calculate l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/2*(-192)\/(-2160).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - n**2 + 44 + 27*n - 19 to the form a + q*n**2 + d*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 8*l**2 + 5*l - 3. What is f(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjfiffjffffji. Give prob of sequence jj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 41.63. Let f = -2.17 - q. Let b = f - -0.04. Round b to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 + 2. Let c(l) = -5*l + 16. Let d be c(4). Let w(r) = 13*r**2 - 4. Let m(k) = d*w(k) - 9*s(k). Factor m(j).\nAnswer: 2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + r + 5. Let p be m(0). Suppose -9 - 1 = -p*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/4 + g**2. Let t(y) be the third derivative of -y**4\/12 - 4*y**2. Give t(o(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -4, -3 in descending order.\nAnswer: 171, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2535\/(-27) + ((-96)\/54 - -2). Let k = i - -94. Which is the second biggest value? (a) k (b) 1\/8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327888?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 29 = l, -4*l + 36 = -220*w + 224*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*m + 124, 4*m - 6 = 3*k - 130. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/112 and 79\/231216.\nAnswer: 1618512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 12*p)*(-2 - 1 - 4) + 2559 - 11*p - 2559.\nAnswer: -95*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 11}. Give prob of sequence bdbb.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*k**3 + 63*k**3 + 186*k**3 - 360*k**3 + 60*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -193?\nAnswer: -52\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**2\/2 + 7*k - 6. Let g be d(7). Solve g = -5*l - 8 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4*n**4 + 52*n**3\/3 + 26*n**2 - 16*n + 224. Let t(c) = 0. Calculate c.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9289*c**2 + 6*c + 235. Let x be i(15). Round x to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - (3 - 7)\/(-2). Suppose 5*j + 70 = 5*d, -3*d + 5*j + b = -26. Calculate the remainder when 54 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*v + 81 = -126*v. Suppose 0 = v*p - 33*p + 18. Solve p*z - 11 = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 315059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 361 = 8*j. Let i = -42 - j. What is the third derivative of 11*y**3 + 795*y**i + 2 - 2 - 780*y**2 wrt y?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/3 - 2\/(-3). Suppose 4*j = -j - n*i + 4, 2*i + 12 = 4*j. Suppose -2*a + 6*a + 2*x = 40, -3*a - 4*x + 20 = 0. Solve -j*v - a = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63040014?\nAnswer: 2, 3, 233, 15031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*h - 9106 = 0, -5 = -27*h + 32*h. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206.53 - 208. Let l = -5.47 - n. Sort 4\/5, -3, l in descending order.\nAnswer: 4\/5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from epqeup?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -27 - 6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, m: 1, d: 5, s: 3, n: 3, a: 4}. What is prob of picking 1 d and 3 s?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + -2*sqrt(2057) - (0 + sqrt(2057) + -5)) + -1 + 2*sqrt(2057)*-1)**2.\nAnswer: 220*sqrt(17) + 51429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.69969196 to three dps.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t - 14*t - 7*t - 17. List the prime factors of l(-6).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.73. Let y = 2.27 + q. What is the third biggest value in 4\/5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 268.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 w when three letters picked without replacement from {w: 3, v: 3, p: 7}.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42335 - 41875.34. Let l = i + -25.06. Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 218*f**2\/3 - 94166*f\/3 - 1440.\nAnswer: 2*(f - 432)*(109*f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5*w + 8*w)*(-1 + 1 + 2)*(-4*w - 2*w + 5*w).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*f**5 + f**2 + 2.\nAnswer: -9840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86719109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*u - 16, 3*u + 8 - 14 = -2*b. What is the third derivative of -x - 72*x**2 + 8*x - 2*x + 142*x**b - 4*x - 4*x**6 wrt x?\nAnswer: 16560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1176.854 + 1177. Is n equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4404\/107 + 5208220\/126581. Let x = 100843\/21294 + y. What is the common denominator of x and -47\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120700076.\nAnswer: 2, 7, 59, 73063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2971*f + 6051*f + 19 - 3066*f. Determine d(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6. List the prime factors of w(6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.26219 rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32017 - 3?\nAnswer: -32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/15 - 14*-3. Let i be 2*(-5 - o\/(-8)). Solve i = -0*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-21) + (-4)\/14. Let k be (13 - 505\/40)*(-8)\/(-6). Which is the smallest value? (a) -54 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.287 - -1.587. Which is the closest to f? (a) -32 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y**3 + 6*y**3 - y**2 + 3*y**3 + 0*y**2 + y. Let v be z(1). Suppose 21*s - v*s = -15. Solve -s*f + 9 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2101718152 to the nearest 100000.\nAnswer: 2101700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25673 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180160 = -2*h - 15*h + 197852. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18631?\nAnswer: 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 262*d. Let u(o) = -4*o + 2. What is u(s(j))?\nAnswer: -1048*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -28) + -5 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r + 69. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121, 13710, 47877, 114410, 224097, 387726, 616085, 919962?\nAnswer: 1310145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64816721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.2 - 0.8. Let o = -49.7206 - -102.7. Let s = t + o. What is s rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180856760?\nAnswer: 2, 3, 5, 73, 163, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -2\/251, 0.4?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -364014, -363635, -363256, -362877, -362498, -362119?\n\"Answer: 379*i - 364393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 8*x + 3. Suppose -68 = -2*g - v, -g - 3*v = -0*g - 34. What is the remainder when g is divided by k(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 232*w - 237*w - 5, 3*g - 168663 = 3*w. What is g rounded to the nearest one thousand?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 * 12.4\nAnswer: -169.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1302400)\/6*(-8 + 708\/(-24)). What is r rounded to the nearest one hundred thousand?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12532 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5 = 5*s + 4*d, 0 = 3*d + 15. Suppose -s*b + 4468 = -2297. Suppose -b + 123 = -6*q. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*m**5\/2 - 819*m**4 + 7725*m**3\/2 - 3764*m**2 - 3174*m - 504 = 0. What is m?\nAnswer: -2\/7, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2 + 259248*o + 8401190688 = 0?\nAnswer: -64812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123627*l**3*m*u**2 - 5*l**2*m*u**2 + 10970*l**2*m wrt l?\nAnswer: -741762*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnk when three letters picked without replacement from nnpkpnkkqpqpp?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -2*t + 87. Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - -5)) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28896 divided by -172?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95.49 + -37.71. What is y rounded to zero dps?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - v + 9 = 0, -12 = 36*x - 38*x + 4*v. Suppose j + z = 5*j - 44, -3*j - 3*z = -48. Calculate the smallest common multiple of x and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4949 - -14550. Suppose 2*l - 3*l + p = -2*h, l + 14399 = -3*h. Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/(-16)) + 2. What is the tens digit of (148\/(-8)*v)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 167*h - 1086. Calculate m(-43).\nAnswer: -1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157173 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (-1 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/7 + 376*i**2\/7 + 30451*i\/7 - 33132 = 0. What is i?\nAnswer: -251, -132, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.005 + -0.6. Let p = 0.064 - c. Let u = 0.35 + p. Round u to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.0907 - -19.0907. What is the closest to 0.8 in 1\/3, -2\/5, -14, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, k: 2, q: 1, r: 6, p: 3, y: 4}. What is prob of sequence pzz?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 - 2*f + 5. Suppose 0*u = -6*u + 42. Let d(m) = -9*m**2 - 7*m + 16. Let z(n) = u*a(n) - 2*d(n). What is the first derivative of z(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -445, 4, 3 in descending order.\nAnswer: 4, 3, -45, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3658)\/(-434) - -62 - 67.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 2*q - q + (-1 + 1 - q)*(-1 + 3 - 3) - 3*q - q + q)*(2 + 2*q - 2 + (-2 + 0 + 0)*(3*q + q - 2*q)) to the form r*q**2 + h*q + u and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5760\/(-54))\/(-40))\/((-68)\/918)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1564.99999526 + -1565. Round t to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*4) + sqrt(95)\/sqrt(5) + 3)**2.\nAnswer: 15*sqrt(19)\/2 + 619\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2553 - 126.1947. Let x = w - -129. Let u = -1.45 - x. Which is the closest to -2\/5? (a) u (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 18701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 32*c**2 - 168*c + 5198. Calculate d(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1740 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 14*w + 2. Let f be h(-7). Let j be (-334 + -2)*f\/(-4). Suppose -9*z + j = -z. What is the greatest common divisor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2108783 (base 9) to base 7.\nAnswer: -12406545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/4 + a**2 + 203*a\/4 + 441\/2 = 0.\nAnswer: -7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:51 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + 3*((sqrt(150)\/sqrt(5))\/sqrt(6) - ((2*sqrt(5) + sqrt(5))**2 + 5) - 5*(sqrt(20)\/sqrt(4) + -3)).\nAnswer: -112 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:02 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = 5*m, -5*m = 2*r - 8 + 7. Which is smaller: m or -1\/26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w**4 + 11408*w**3 + 25452*w**2 + 19035*w + 4752 = 0.\nAnswer: -176, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/250 and (-504)\/(-1120)*(-256)\/(-60).\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -0.5, -4 in descending order.\nAnswer: 5, -0.3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdg when three letters picked without replacement from auuhgdduuuupuuduuhhu?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26*b + 409. Give y(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*l - 30 = 0, 4*h + 7*l - 3*l = 0. Let m = 23 - 13. Solve -m = 2*s - 5*g + h*g, s + 17 = 4*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 708 = 45. What are the prime factors of q?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16*h\/(h\/h**(1\/13)))\/(h*h*h\/(h\/h**7)*h*h*h*h)**17 assuming h is positive.\nAnswer: h**(-2664\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 181*h - 351*h - 176 = -177*h, 15 = 5*h for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 11*h**3 - 5 + h**4 - 5 + 0 - 4*h + 7*h**2 + 15*h = 0. Calculate h.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83800650 is divided by 83800649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50500 (base 6) in base 4?\nAnswer: -1220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/6*(-9)\/(-18)*1563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f = 29*f + 2926. Put 5, 0, f in ascending order.\nAnswer: 0, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 11*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204.5687 decades to years.\nAnswer: 2045.687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26532692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/(-162))\/4*6\/10*-129?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*(-1*sqrt(75) + 5).\nAnswer: -20*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6425, 12789, 19177, 25601, 32073, 38605, 45209?\nAnswer: 51897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*v + 24 = 105*v - 3*b, 2*v + 5*b = -12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535410141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 i when four letters picked without replacement from nillllliliiilllinll?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 26*s + 9. Suppose d = -17*d - 15*d. Let q be t(d). Solve 11*u - q*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 24. Let o(u) = u**2 + 11*u + 14. Let j be o(b). What is the tens digit of 1*-42*(15 + j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109 > 5372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**(1\/18))**40\/(((v*v**(2\/9))\/v)**(-1\/42)*v**(2\/9)*v**(-2\/7)) assuming v is positive.\nAnswer: v**(19\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 20*g + 22. Let v be d(19). Let m be 3 - (v + -1)*-1. Suppose 2*s + 6*t - 123 = m*t, -69 = -s - 2*t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1330011013 (base 4) to base 5\nAnswer: -112230411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**4\/12 - 7*n**3\/6 - n**2 - 5*n. Let t be -1 + 2 + 54\/6. What is the units digit of l(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -49. Is x*(-1)\/(-3*(-4)\/(-58668)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -39*m + 1391. Determine w(36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4\/2 + 139*m**3\/2 - 2255*m**2\/2 - 767*m\/2 = 0?\nAnswer: -59, -1\/3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03228 and 40?\nAnswer: 1.2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2485 and 1742482.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(20*w + 13*w - 4*w).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 38*g - 4. Let c(r) = 5*r**2 - 32*r - 3. Let l(u) = 5*c(u) - 4*o(u). Let d = 6 - 3. Suppose m - 6 = 3*m + 5*i, d*m + 2*i = 13. Give l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**15)\/n**(-6\/13)*(n**5)**(-28) assuming n is positive.\nAnswer: n**(-1606\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228607.\nAnswer: 29, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.6466 - -195612.\nAnswer: 195582.3534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45211?\nAnswer: 29, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21.4, 1 in decreasing order.\nAnswer: 21.4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x + 0*x - 5 + 6*x. Let v(f) = -3*f + f + 0*f + 6*f - 10. Let s(d) = 11*o(d) - 6*v(d). Let u(b) = -4*b + 11. What is 5*s(k) - 2*u(k)?\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564142.5654 rounded to the nearest 100?\nAnswer: 564100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 + 12*k + 6. Let l(o) = o**2 + o + 1. Determine 3*l(t) - s(t).\nAnswer: -2*t**2 - 9*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255379577 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -116 - 382?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.4. Let k = -2.8 - -3. Let w = 4.2 - k. Which is the nearest to -0.2? (a) w (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(63\/49))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjm when three letters picked without replacement from njjmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*q = -11, -3*n + 2*q = -7 - 6. Suppose 0 = -n*j + 2 + 7. Suppose 5*h = -5*t + 20, -3*h + 26 = 4*t + 10. Solve h = s + j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*j**4*n + 27*j**4 - 18*j**3*n - j**3 + j**2*n + 2*j + 10582*n wrt j?\nAnswer: -768*j*n + 648*j - 108*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/18*(72\/(-16) - -4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64151.14nm in millimeters?\nAnswer: 0.06415114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 1248*z - 1256*z - 4*l, z - 12 = 2*l for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 e when three letters picked without replacement from eeeeeeleleeelee?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = 8. Suppose t*b - 6 = 3*b. Let j = 24 + -16. What is the smallest common multiple of j and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310685672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -10. Let o = -11.4 + x. What is o rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3024 + 3004. Let d(p) = p**3 - 2*p**2 - 2*p - 2. Let q be d(3). Let z be 9 - g\/(-4) - (-518997 + q). Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 25*z**2 + 118*z + 131. Let g be h(18). What is the biggest value in 3, g, 9, -5, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from ijjiiiijiixjjjiilij.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*t = -26, -k - t = 3*k + 28. Let f(i) = 7*i**2 + 28*i - 4. What is the units digit of f(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/((-9)\/24). Let c = -20551\/4 + 102747\/20. Sort n, c, 3, 3\/7.\nAnswer: n, c, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*w**3\/3 - 1469*w**2\/3 - 1513*w\/3 + 125\/3 = 0.\nAnswer: -1, 1\/13, 125\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/115 + 92\/26450.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + 83 + -300 + ((12 - 1) + 1 - -1)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45996\/15*5*(-3)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = -10*y + 51456. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 1. Let p be (3 - (-5 - i)) + 0. Suppose 177 = p*j - q, 5*q = -5*j + 52 + 113. What is the remainder when j is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 9*w - 10. Let o be d(-7). Differentiate o*b**2 + 0 + 10*b**2 + 1 - 2*b**2 with respect to b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530351 (base 8) to base 3\nAnswer: -22221220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44353 is divided by 7389?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-5))\/((-2)\/(-5)). Let f(q) be the first derivative of -q**2 - 17*q + 24. What is the units digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001814 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-6) - 9\/27. What is the closest to -1\/3 in 0.1, t, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607495000 rounded to the nearest 1000000?\nAnswer: -607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(1\/5))\/a))\/(a\/a**(-3))*a**(-2)\/(a\/(a*a**(-7))) assuming a is positive.\nAnswer: a**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7593*c**3 + 5358?\nAnswer: -22779*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72) + 1)**2 + (sqrt(1800)*-2)\/sqrt(9).\nAnswer: 4*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1421?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 - 0.8. Suppose -w - 7 = -0*w. Let l be (16\/84)\/(6\/w). What is the closest to l in s, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3953b (base 13) to base 15\nAnswer: 217a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.090328726 and 4.37.\nAnswer: 2.279671274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 7*x**3\/6 + 2*x**2 - 20*x. What is the remainder when 46 is divided by y(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7 (b) -926\/79 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 147*i - 12. What is the least common multiple of 345 and g(50)?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 83. Let f(m) = m**2 + 0 + b - 6 + 7*m + 0*m**2. What is f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 1381 - 194 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61.3 - 76. Let g = 97.7 + c. Let m = 76.4 - g. Round m to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 20*x + 28. What is the least common multiple of h(19) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 11*o - 516. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -264*m - 11. Is s(-4) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0*w - 3\/4*w**4 - 5\/4*w**3 + 0 + 1\/2*w**2 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i + 15*i - 32*i = 34*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 3. Let n be p(-4). Let i = 186.654 - 186.154. Let o = 0.08 - 3.08. Which is the nearest to n? (a) -0.5 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 - 5*g - 18. Let b be v(8). Let d be (-9)\/b*4\/(-6). Let o(u) = -10 + 8 - 2 + 7*u - d. Let h(y) = -15*y + 11. Give -6*h(q) - 13*o(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18067327117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*y - 92. Suppose -2*w = -y*w + 2256. What is the highest common divisor of 188 and w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-8)\/6*21\/(-14)*60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1011011110111?\nAnswer: -1011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*c**5 + 186*c**3 + 331*c + 3.\nAnswer: 400*c**3 + 1116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/4, -2, 0.9, 5 in increasing order.\nAnswer: -2, 3\/4, 0.9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) 0 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**(-2\/11))*z*(z**2\/z)\/z*z*z**(-1\/6)\/(z*z**(3\/2)\/z)*((z*z**5)**(-39))**0 assuming z is positive.\nAnswer: z**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -955*j**2 + 827*j - 827*j - 438*j**2 as w*j**2 + q*j + y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234888 is divided by 225?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from njznx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76641326?\nAnswer: 2, 19, 2016877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1690 + -153343?\nAnswer: -154a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7812577 times -11\nAnswer: 85938347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 1, 757, 16, -2, 9 in increasing order.\nAnswer: -3, -2, 1, 8, 9, 16, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 - 3*h - 4. Let r(f) = -2*f**3 + 2*f**2 + 4*f + 5. Let y(v) = 3*r(v) + 4*u(v). Let l(d) = d - 3. Let x be l(5). Determine y(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/35*(-39)\/234.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s, x - s - 3*s = 7. Let l be ((-2)\/(-6))\/(1\/3). Which is greater: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395720071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + r + 21, -k - 3 = 4*r - 36. Suppose -11*t + 8 = -k*t. Let v be 3*(-4)\/(-48)*t\/3. Which is smaller: 4\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1642)\/(-4)*-3)\/((-2)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + (-4)\/(-2))\/(1\/303). Suppose b = -2*j + u, -b - 3*b - 725 = -5*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 3*a + 27 = 0, 190*n - 184*n + 45 = -5*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1612.3875 + 1602. Let w = -10.4 - l. What is w rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from fefepewfwpwffwfffff?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (20 - 27 - (-2 - 3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2050 by 5.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39051731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2435 divided by 85\nAnswer: 487\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o + 0)*(4 - 6 - 3)*(-3 - 3 + 5)*(-658 + 658 - 42*o**4).\nAnswer: -420*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 245?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 3. Let c(x) = 2*x - 4. Let b(t) = 4*c(t) + 5*j(t). Let p(g) = -g**2 + 10*g - 9. Let i be p(9). Let u = i - 1. Determine b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35089, 34964, 34761, 34480?\nAnswer: 34121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*((-1824)\/(-9))\/19. Solve -18*a + l*a + 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1447 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 380509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*p**6 - 13*p**3*t - 15*p**2*t + p**2 + 27*p - t wrt p.\nAnswer: -11280*p**3 - 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 162 - (-1)\/2*(-138 + 134). Let g be 6\/(5\/(-6) - -1). What is the second derivative of 160 - y - 33*d + 0*d**2 + g*d**2 wrt d?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62.9 times 4\nAnswer: -251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)*10\/1. Suppose -3*m = -5*d + 98, 65 = -3*m - 4*d + 3. Let i = 36 + m. Calculate the highest common factor of i and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5253713 is divided by 1649?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350*q**2 + 2707*q**2 - 1331*q**2.\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 31 in descending order.\nAnswer: 31, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:34 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 56 = 5*f. Let z(g) = g**2 + 2*g. Calculate the least common multiple of z(f) and (-52)\/(-6) - 2\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2345 and -0.3?\nAnswer: 703.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 244*f - 121*f - 2 - 117*f. Give r(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 633 divided by -1\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (3 + -25 - -1 - -12) - (-3 + -39).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -7 - 3) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5143, 4998, 4771, 4462, 4071?\n\"Answer: -41*w**2 - 22*w + 5206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let t(h) = 1028*h. Give t(o(k)).\nAnswer: -2056*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.0458 (b) -2\/15 (c) -3 (d) 0.5 (e) 36 (f) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 1, o: 7, n: 2, x: 1, q: 3}. What is prob of sequence qo?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858 bigger than 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 1773 = -32*k - 60*k + 1287 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1021, 98, -4, 1 in increasing order.\nAnswer: -4, 1, 98, 1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68063 take away 0.770205?\nAnswer: 68062.229795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 683736403 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-140)\/(-21)))\/((-1)\/2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w + 37. Let o be i(-7). Suppose 10 + o = 6*u. What is the tens digit of -1 + (-380)\/(-6) + u\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 5)*(1 - -3). Let g be (-10)\/x*-1*2. Suppose 0 = -317*p - 447*p + 764. Sort g, -13, p in descending order.\nAnswer: p, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1077 - 238. Let c = a - 1344. Is (-1 - (-10)\/25)*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.6 - -11.4. Let c = 78.1 - s. Round c to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622387 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 846053569*q**2\/5 - 814436*q + 980.\nAnswer: (29087*q - 70)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a + 15. Determine f(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54865 to the power of 1\/4, 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 82 and 201501101?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 10*t - 5*t)*(-4 - 3 + 2) to the form z*t + a and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 - 16*y - 16. Let g(f) = 7*f**2 - 33*f - 32. Let t(p) = -3*g(p) + 5*m(p). Let l be t(19). Is 2 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -814.0413 - -814. Round w to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 33*f - 19 + 19)*(-2*f**2 - 1543*f + 0*f**2 + 1537*f + 4) in the form i*f + p + l*f**2 + t*f**3 and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose 2*v + m*v = -d - 6, 0 = 5*v + 5*d + 20. Let f be (-7)\/2*v\/14. What is the closest to 0 in -0.2, -0.3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16942 and 0.3.\nAnswer: -16941.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 3*k + 6. Let r be h(4). What is the third derivative of -2*i**3 + 2*i**2 - 3*i**5 - 3*i**2 + r*i**3 wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*h + 19 - 2*h - 19 in the form j + n*h and give n.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 + 0 + -1)*-12. Let n = -4848 + 5184. Suppose 0 = 6*w - n + p. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 548 - 1612 - 6798*f + 535 + 529 in the form u + v*f and give v.\nAnswer: -6798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*y + 14*o, 0*y - 3*o = -3*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 1, m: 1, n: 2}. Give prob of sequence antn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 90, 186, 282, 378, 474?\n\"Answer: 96*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-45))\/((-2)\/(-5))*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1442*s**3 - 6*s**2. Let r(f) = -8652*f**3 - 39*f**2 + 1. What is 13*o(z) - 2*r(z)?\nAnswer: -1442*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + 0) + -2.\nAnswer: -6*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -j*m + 51 - 3 = 0. What is the remainder when m is divided by (1\/(-1 + 0))\/(((-216)\/84)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9))**18*(c**(-4\/5))**42)**45 assuming c is positive.\nAnswer: c**(-1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nmnddnmnddmddd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 149?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3668*w**2 + 7*w - 55070 wrt w?\nAnswer: -7336*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**3 - 2*t**2 + 3*t - 1. Let h be p(1). Solve 0*o - 3*o = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 6*c**2 - 57*c**2 + 4*c**2 + 7 - 3*c**2. Let g(y) = -3*y**2. Determine g(h(o)).\nAnswer: -8112*o**4 + 2184*o**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9*i + 22. What is the units digit of f(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let c(o) = -o**2 - 9*o + 136. Let x be c(8). Let r(z) be the third derivative of 0*z + 0 + 1\/12*z**4 + 5*z**2 + x*z**3. Calculate r(a(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 308 + 317. Put z, -3\/4, 3, 14 in descending order.\nAnswer: 14, 3, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/330 + n**6\/110 - n**5\/60 - n**4\/22 + 2*n**3\/33 - 66*n**2 + 2. Let h(t) = 0. Calculate t.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11857\/908 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: -73 (base 10) to base 5\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5158*z. Let v(j) = -336*j**2. Determine y(v(b)).\nAnswer: 1733088*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -438, -1275, -2892, -5679, -10026, -16323, -24960?\n\"Answer: -65*v**3 - 382*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*a)*(14 + 3 - 4)*(416*a - 37 - 4 - 410*a + (-2 + 0 + 1)*(a - a - a) + a + 0 + 0 + a + 1 - 1).\nAnswer: -234*a**2 + 1066*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18452147 is divided by 7740?\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*y - 15*y + 142 - 584. Solve -j - 2 = 20*z - y*z, 4*z + 5 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 = 8*c - 10*b, 2*c = -b + 9. Solve j + 18*o = 16*o - 6, 1 = -j + c*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (510\/(-765))\/(8\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 257?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 9*p - 4*p. Let n(f) = f**3 + 4*f**2. Let u be n(p). Solve 0 = -u*v - v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/12 and -113\/10373570.\nAnswer: 62241420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9121\/55156 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - 8.91.\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.3000916 + 81.3. Round y to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*d + 5 + d**3 - d**2 - 142*d to the form q*d + r + a*d**3 + k*d**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 e when three letters picked without replacement from {e: 1, t: 7}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 9*x**2 - 4*x - 1. Let w be u(5). Suppose w = v - 4*b, -12 = -v - b + 42. Suppose -18 - v = -z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:11 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 12*y - 14. Let q be (-12 - -66)*(-6)\/(-4). Suppose 11*d + 7 = -q. List the prime factors of f(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.72 + 5.72. Sort 14, o, -3 in ascending order.\nAnswer: -3, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(714\/(-120)) - 3\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726205.\nAnswer: 5, 61, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.20804616132 take away -0.5?\nAnswer: 173.70804616132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -474284.9 + 465.4?\nAnswer: -473819.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a + 4*y = 11, 0 = 3*a - 3*y - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, s: 4, j: 3, c: 3}. What is prob of sequence cls?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 6*w - 1476 = 0. Let j = w - -81. Round j to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/7 at least 0.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1138 + -533. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5518*j**2 + 2124*j**2 + 3514*j**2.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 73*l + 82. Let q(f) = -4*f**2 - 122*f + 136. Let p(w) = -12*b(w) + 7*q(w). Give p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -5, -2\/11, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 7*t**2 - 25*t + 47. Let u be g(3). Let a be (-4)\/(-10) + 12528\/5. Suppose u*q - 6*q = a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.6 - 13.7. Let h = -21 - u. Is h at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:38 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/6 (c) -0.04 (d) -74 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6557149 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1156 - -4585\/4. What is the common denominator of d and (-11)\/(-2)*98\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 5*h = 2*h - 187 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 162*o - 15647. Determine g(102).\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21745\/95 - (-4)\/38.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Let f(x) = -x**2 - 53*x - 689. Let c be f(-26). Find the second derivative of -5*b + 39*b - 10*b + c*b - 26*b**k wrt b.\nAnswer: -520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -k + 1. Let x = k + -499\/7. Which is the closest to -1\/18? (a) x (b) -0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2912 and -79\/7072?\nAnswer: 49504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 10*h - 39 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-62)\/(-4))\/((-16)\/608).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65888977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 1747 = 325. What are the prime factors of g?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/3 (b) -1\/7 (c) 3.9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.23 + -58. Let i = 0.23 - c. What is the closest to 1 in -0.4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - x**3 - 3*x**3 + (20*x**2 - 9*x**2 + 0*x**2)*(4*x - 6*x + 3*x) to the form p + q*x**3 + c*x**2 + a*x and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((1 + sqrt(208))*5 - sqrt(208)) + sqrt(208) + 1 - -2*(0 + (sqrt(208) - -2*sqrt(208)) + 0))**2*2.\nAnswer: 1760*sqrt(13) + 50536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148546*x*y**3 + 13841*x*y**2 - 3*x*y + x wrt y?\nAnswer: -891276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*c**3*h**2 - 62392*c**3 - 2*c**2*h**2 + 45*c*h**2 + 5427*c - 6*h**2 wrt c?\nAnswer: 102*c*h**2 - 374352*c - 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138470116 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 - 2*a**2 + 3*a + 3. Calculate n(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4583?\nAnswer: 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3912860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -45. Suppose 4*k = -s + 5, 2*k + 10*s - 5*s = f. Suppose k = 19*d - 16*d - 138. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 1055?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.24, 4, -0.5, -0.95?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -46, -38, -32, -28, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 48*n**2 - n - 1. Suppose -8 = 5*r + 4*h + 1, -4*h = -3*r + 1. Let x be o(r). Let d = -28 + x. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b + 61*b + 22*b**3 - 5*b wrt b.\nAnswer: 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 2310.333?\nAnswer: 2313.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206788980 by 41357796.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-51*h**2 - 72 + 221 + 52*h**2).\nAnswer: -h**2 - 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17880\/679 + 60\/97. Let k = -26 - t. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u + 400 = 0. Which is smaller: u or -79?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6248 and -7.312.\nAnswer: -6255.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98648165 by -77.\nAnswer: 1281145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453950002 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -49, -48?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfgfgggfofgfgge. What is prob of picking 1 e, 1 g, and 1 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 37 = -t. Let j be 5\/(4\/t + 2\/8). Suppose 0 = -n + 2*n - 16. Are j and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000067107609 to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = -5*v, 4*x + 2 + 4 = -3*v. Suppose 0 = -u - v*y - 72000, y - 5*y = u + 72000. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvss. Give prob of picking 1 v and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 21 = -3*f - 11, -36*f - 24*f + 5*g + 15 + 15 = -55*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6937. Let b(x) = -9998*x. Determine b(j(y)).\nAnswer: 9998*y - 69356126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8686172, -8 in descending order.\nAnswer: -1, -8, -8686172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -263711\nAnswer: -1\/37673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32121 + 1022032?\nAnswer: 323311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -435, -876, -1327, -1788, -2259, -2740, -3231?\n\"Answer: -5*n**2 - 426*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/5 - -48\/35. Let h = 4598.9 + -4599. What is the fourth biggest value in -2\/7, t, 0.5, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 36\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 63. Let m = -15 + l. Is m at least as big as -1\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bggfbbwqbbwfq. Give prob of sequence gg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 = -23. Suppose -4*h + 16 = -2*h. Let m = h + v. Sort 2, -18, m in decreasing order.\nAnswer: 2, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56507 - 39663. Is 26 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1 (c) -107 (d) 2\/7 (e) -13034 (f) 0.5 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-10177376)\/(-288) + 0 + 4\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -64*h + 129*h - 40*h + 2*h**2. Let z(f) = f**2. Determine z(t(c)).\nAnswer: 4*c**4 + 100*c**3 + 625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/13090 and 41\/550.\nAnswer: 65450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23da7 (base 14) to base 10.\nAnswer: -87759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -932 and -167?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:26 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17834135.\nAnswer: 5, 11, 71, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/5, -1\/5, 8, 1\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 259 = -21*l + 161. Solve 0 = -3*d - 2*t + 22, -l*d + 5*t - 5 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 43. Let r be l(-13). Let y = r + 13. Calculate the least common multiple of y and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.4 (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 31*h + 5*h. Solve 0*y + 2\/9*y**3 + 4\/9*y**4 + 0*y**2 + h + 2\/9*y**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 683, -2\/3, 1\/4, 4, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -457022 divided by 11?\nAnswer: -457022\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y + 2. Let t(p) = -81*p + 9. Let m(b) = -5*t(b) + 24*u(b). Let w be m(5). What is the greatest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13260797 is divided by 640?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/14*(1 - 2 - ((-880)\/(-528) - 4)).\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muutttquqi. Give prob of picking 2 q and 1 m.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -53*u - 5037. What is h(-95)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f + 7. Let p be o(0). Let j(a) = 0*a - 9*a + 15*a**2 - p - 5*a**2 - a**3. Is j(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 247 and -1.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5 = 4*i, -5*i - m + 5*m = -17. Suppose 8*q - i = 9*q. Let d be q + 0 + (-25)\/(-10). What is the biggest value in -3, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-3))\/(-20) - 78\/(-22). Let h = s - 28\/11. Which is the biggest value? (a) h (b) -2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11196\/(-648) - -17)*12\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 65. Let d be 4\/(-12)*1 - 5\/(-15). What is the remainder when b(d) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 3 - 3 + (b - 5*b - 19*b)*(1 - 1 + 2 + (1 + 2 - 1)*(-1 + 2 - 3) + 2 - 3 - 1) to the form r + k*b and give k.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30312412 - -202?\nAnswer: 30313114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348670 and 767074.\nAnswer: 3835370","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, j: 1, l: 5, t: 1, z: 2, a: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*c**2*g*i + 2*b*c**2*i - 2*b*c*g**3*i + 2*b*c*g**2 + 62*b*g**3*i - 68*c**2*g**3*i + 2*g**3*i wrt c?\nAnswer: 2*b*g*i + 4*b*i - 136*g**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.773568 litres?\nAnswer: 4773.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5039832 divided by 21?\nAnswer: -239992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 12 = -10*u + 16*u. Put u, 2, 26, -1, 5 in increasing order.\nAnswer: -1, 2, u, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -52. Suppose 0 = -20*z + 18*z. Suppose -3*d + 7*d - w = z. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1355530?\nAnswer: 1355532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.07 (b) -1\/2 (c) 6\/11 (d) -11.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2040020074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2274, -0.02, -2\/11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26507, -53025, -79543, -106061, -132579, -159097?\nAnswer: -185615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -304, 3, -2, -3, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-710 + 712 + 0*d**2 + 12*d + 2*d**2)*(3*d**2 + d**2 + 2*d**2).\nAnswer: -12*d**4 - 72*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(9471\/11))\/((10\/(-36))\/((-25)\/(-15)))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10310*u**2 + 1 - 40*u**3 + 0*u - 10326*u**2 + 0*u to the form p + o*u**3 + r*u + k*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:50 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 931 and 7448.\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 900?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 8?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 7. Let u be z(5). Let t(b) = -13*b - 3. Let x be t(-2). Let w = -14 + x. Solve -w - u = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 8120.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9564 and -79\/44?\nAnswer: 105204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 31*i**5\/5 + 113*i**2\/2 + 5*i - 3. What is the derivative of j(g) wrt g?\nAnswer: 372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117 and 65?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 323, 489, 655, 821, 987?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-12 - (0 - 12 - -2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155648 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -310*c + 126. List the prime factors of k(-10).\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*i - 42 + 33, 12 = 4*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d209 (base 14) to base 3.\nAnswer: 1211111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let d = -5 + 11. Let t = 8 - d. Is t not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/(-33)*4*(-2)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1603 + -11.8397. Which is the nearest to -0.1? (a) h (b) -0.02 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 - 2) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -9388\nAnswer: 2\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*j**4 + 92*j**3 - 5*j**2 + 3*j + 1895 wrt j?\nAnswer: 5160*j + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 43 - 23 + 76*h**2 - 8.\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20105, -21504, -22901, -24296?\nAnswer: -25689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3071c - -1?\nAnswer: 3071d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Suppose 0 = -8*v + 21*v + 26. Which is the nearest to 1? (a) p (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 18 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-28)*(-196)\/(-1470)*10\/(-6)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/5*-1)\/(-2). Let f = s + 39\/10. Factor -1\/4*o**4 - f*o + 0*o**2 + 1\/4 + 1\/2*o**3.\nAnswer: -(o - 1)**3*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214635743.\nAnswer: 7, 53, 578533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 104\/147. Suppose 5*s - 3*i + 8 = i, -4 = -4*s - 2*i. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 15. Let w be g(8). Suppose -7*d = -w + 11. Suppose -d*v = 11*v - 1209. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13)*-6 + sqrt(13)) + -3)**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**2 - 4 + 8*c**2 + 0*c**2 - 2*c - 2*c**4 - 1 to the form b*c**3 + x*c**2 + h*c + t + y*c**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/13, -272\/7, -5 in descending order.\nAnswer: -23\/13, -5, -272\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((1 - 0) + -1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/12659668 and 1\/11?\nAnswer: 139256348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + (-2 - (-5 + 10)). Let w(s) = 7*s + 3 - v*s + 2*s + s - 3*s. Calculate w(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 808\/(-1010) - 143\/20 - (-4)\/(-16).\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + b = -5, -22*k + 17*k - 5 = -5*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 4*r, 5*i - 3*r + 153 - 72 + 180 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 765 = i, -3*o + 4*i - 201 + 660 = 0. Suppose -o*c + 148*c = -560. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 36*y + 231. Let g be z(-6). Let r(q) = 6*q - 86. Determine r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 0, 0 = -3*d - h + 89 + 129. Calculate the remainder when d is divided by 15 + 2 - -2*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - 88.4. Let g = b + 87.903. Round g to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 57. Suppose -5*b + 30 = 3*p, -s = -3*p + 2*b + 2*b. Solve -2*o = 1 + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.35405 millimeters in micrometers?\nAnswer: 5354.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**3 + 45823*x**2 - 2*x + 73388.\nAnswer: -3*x**2 + 91646*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/4 - 15*n**3\/2 - 3*n**2\/4 + 15*n\/2.\nAnswer: 3*n*(n - 10)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372 and 72?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 21 = -n - 27, 0 = -5*h - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035 (base 8) to base 14.\nAnswer: -2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44\/75 (b) 3 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 350 = -2*o, s + o - 185 = -2*o. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7301\/(-6) + (8 + -6)*-1. Let r = -1210 - k. Let j = -100 + 607\/6. Find the common denominator of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 23652*b.\nAnswer: 3*b*(b + 7884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 915*t**2 - 27684*t - 95904.\nAnswer: 3*(t - 333)*(t + 4)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/12 and ((-143)\/(-24))\/13 - -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + m - 30. Let w be p(6). Suppose 0 = -0*i - 2*i + 72. What is the units digit of (-16)\/(-6) + w\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 20*n + 54. Let i be j(17). Let k(x) = i*x - 1 + 3 - 3*x + 3*x. Calculate k(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/3 - 3874*d - 92912\/3 = 0. Calculate d.\nAnswer: -11614, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 0 - -1*sqrt(208).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*t**2 + 172*t**2 + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*79524.4.\nAnswer: -1670012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2927*c + 4. Let d be a(-3). Suppose -4*i + 5941 = 3*o + 670, 5*o - 4*i = d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2073 - 2073 - 165*m)*(-m**4 - 3*m**4 + 3*m**4) + 0*m**3 + 0*m**3 + m**5 + (-2*m**5 - m**4 + m**4)*(-3 + 0 + 2).\nAnswer: 168*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-65) + (-104)\/70 - 164\/(-574)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 0)*(-63*r + 69*r + 163*r)*(-1 + 1 - 2*r + (1 + 0 + 1)*(2*r - 5*r + r) - r + 7*r - 4*r - 2 + r + 2 + 0 + 0 - 3*r + (-3 - 1 + 5)*(r + r - 3*r)).\nAnswer: -8281*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**2 - 5*k + 10. Let p(z) = 3*z**2 + 2*z - 4. Let s(n) = 15*p(n) + 6*u(n). Let o(a) = 0*a - 3*a - 6*a. What is s(o(b))?\nAnswer: -243*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/(3\/2)*9. What is d in 3*d**3 - 2*d**2 + 5*d**2 - d - g - 2*d = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, j: 3, u: 2, c: 7, z: 1, l: 1}. What is prob of sequence lzc?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4 - o**3 + 7*o**2\/2 + 14*o - 3. Let c(m) = m**3 + m**2 + m. Let i(r) = -3*c(r) + z(r). Is i(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 126*g**3 - 2*g**2 + g. Let z be o(1). Let p = z - 291\/2. Let x = -20 - p. Which is the nearest to 2? (a) 2\/3 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -42\/47?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-32)\/(-2 - -6). Suppose 0 = -2*h + 13 - z. Suppose 4 = -h*i + 5*i. Calculate the greatest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 11. Let v be j(2). Suppose 0 = -r - r + 10. Suppose -v*y + r = -10. Calculate the greatest common divisor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*z - 960, -z + 5*s + 707 = 2*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321242274 is divided by 8166.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27427 + -10288. List the prime factors of y.\nAnswer: 3, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -390 (c) 6\/5 (d) 2\/55 (e) 4 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (1*sqrt(14)*-2 - sqrt(14)))\/(6*(sqrt(7) - 3*sqrt(7))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293\/8 + 249\/8. Is -0.8 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*p + 3*b + 5, -5*b = -p - 20. Suppose -p*u - 13 = -3. Let m be u\/(-4)*(-6)\/(-1). Calculate the highest common factor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35175, 35171, 35165, 35157?\n\"Answer: -q**2 - q + 35177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 1. Let w(z) = -1. Let p(c) = -w(c) - x(c). Let m be p(14). Solve 5*o + m = 5*l, -26 = -0*o + 3*o - 5*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -328 + 330. Are w and -67 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -90, -183, -304, -453, -630?\n\"Answer: -14*o**2 - 23*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6 = -2*q. Let a = 5.1 + -10.1. What is the closest to -1 in q, a, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 20*n**3 + 25*n**2.\nAnswer: -5*n**2*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/4)\/(((-24820)\/(-16))\/(-73)))\/(-2)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndpr when four letters picked without replacement from {p: 1, r: 1, d: 1, n: 1, o: 1, w: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/11 - 13041*o**2\/11 - 42523440*o\/11 - 42510400\/11.\nAnswer: -(o + 1)*(o + 6520)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2071072 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -0.89999992. Round z to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270876.\nAnswer: 2, 3, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-10)*-2 - 113*1. Let j = -4829\/6 + 813. What is the common denominator of (17 - -3)*(-3 - 326\/v) and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 19*x**2 - 27*x - 28. What is t(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 168. What are the prime factors of 7\/(s\/(-8))*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10354 or -10348?\nAnswer: -10348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -0.19.\nAnswer: 3.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 - 2*s**2)*(71*s - s - 10*s).\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132424 (base 5) to base 8.\nAnswer: -12364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -99, -101, -93, -69, -23?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/243 and -151\/108.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:52 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupuuupuu. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-35) + 64\/7. Let p = 62 - s. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = -t - 4, 0 = t - q - 6. What is the common denominator of -71\/98 and (-3)\/12*(468\/(-44) + t)?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26883836 or -53767673\/2?\nAnswer: -53767673\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 165 = -0*s. Let f = -25 + s. Is 4 a factor of f + 19 - 0\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97 (b) 42 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170254323719939 + -170254298447399.0000006. Let n = 25272545 - g. Let c = 5 - n. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(-27) + -17 + 25.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 30*p**3 + 2. What is the hundreds digit of v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (8 - 6) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.5 (c) -1.0799\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4)*f\/f**(-2\/5))\/((f\/f**1)\/f)**(3\/25)*(f**(-1))**(-33)\/(f*f*f**(1\/2))**(-50) assuming f is positive.\nAnswer: f**(16027\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 + (-372)\/(-651)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48, -56, -76, -114, -176, -268?\n\"Answer: -d**3 - d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + ((3*(sqrt(77) - (sqrt(77) - 1*sqrt(77))))\/(sqrt(11) + 3*sqrt(66)\/sqrt(6)))**2).\nAnswer: -93\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/12)*(v\/(v\/(v**(-1\/3)*v)))\/v*(v*v*(v*v**(-1))\/v)\/(v**(-5)\/v))**(-2\/67) assuming v is positive.\nAnswer: v**(-79\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d*d*d\/d**(-6)*(d**(-2\/7))**(-25)*((d*d\/(d**(1\/7)*d))\/(d*d**(-2\/11)\/d*d))\/(d\/d**1*d*d**(1\/5)) assuming d is positive.\nAnswer: d**(659\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = -u + 10, -5*u = -5*q + 15. Suppose 3*y - 2*g + g = 68, q*y + 4*g = 85. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 39*p**5\/5 - 16*p + 33. Find the first derivative of n(x) wrt x.\nAnswer: 156*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 6*m**3 - 17*m**2 - 5*m**3 + 21*m - 9*m**2 + 30. What is the least common multiple of g(21) and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*sqrt(84) - sqrt(84))*-6)\/((sqrt(108) - sqrt(12))*2) + ((-2*sqrt(560) - sqrt(560))\/sqrt(10))\/(sqrt(512) - (sqrt(512) + sqrt(512)*1)).\nAnswer: -9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9660\/11 - -10356\/11. Let l = -4385\/66 + k. What is the common denominator of ((-35)\/(-12))\/5 + -1 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4))**34*(t**1)**(44\/3))\/((t**(-1\/3))**22*(t*t**(1\/2)\/t)**(-7\/9)) assuming t is positive.\nAnswer: t**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/(-12)*3.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-27 - 8) + 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1570, 1639, 1744, 1903, 2134, 2455, 2884, 3439?\n\"Answer: 3*t**3 + 48*t + 1519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjl when three letters picked without replacement from {l: 6, x: 4, j: 4, a: 5}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16218 - 16218.0000000145. Round x to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 144802*o + 3475244. Determine c(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -959001, -958992, -958981, -958968, -958953, -958936, -958917?\n\"Answer: w**2 + 6*w - 959008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279102 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 8. What is r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/8077?\nAnswer: 4\/8077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 69152?\nAnswer: 69152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5966*k + 964*k - 7200*k - 3401*k.\nAnswer: -15603*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -31*p**2 - 563*p - 2125. Determine j(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 14*i**2 - 30*i - 18. Give y(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 145 - 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j = 30. Suppose -2*g - 2*a + 68 = -g, j = -2*a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 + 2*x**2)*(4 - 1 + 0)*(12*x + 8 - 8).\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -6. Suppose 0*i + 4*m = 4*i - 28, -5*m + 15 = j. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13971, 3, 2 in descending order.\nAnswer: 13971, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443115612?\nAnswer: 2, 3, 31, 397057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13280 + -12536. What is the remainder when h is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4719 divided by -39.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 23. Suppose d = -29 + 9. Let t be s(d). Let 1 + 1\/2*l**t + 2*l**2 + 5\/2*l = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19874, 19863, 19840, 19799, 19734?\n\"Answer: -o**3 - 4*o + 19879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, k: 3, g: 2}. Give prob of picking 2 g and 1 k.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/7))\/b)**(1\/53))**(-2\/29)*(b**(-3\/4)*b**(2\/5))**(7\/9) assuming b is positive.\nAnswer: b**(-526471\/1936620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 7*z**4\/24 - 7*z**3\/2 + 10*z**2. List the prime factors of k(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1408)\/(-2310) + 2\/(-4). Let d = -2\/35 - x. Let t = 10 + -7. What is the second biggest value in t, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-49))\/(2\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a - 76 = 63*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/(-60) - -2 - (-6)\/24. Let i = 6 - 9. Which is the closest to 1? (a) x (b) i (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 2*t - 2*t)*(t**2 + 5*t - 5*t) + (3*t**5 + 0*t**5 - 2*t**5)*(-1 + 2 + 1) - 5*t**5 + 4*t**5 + 2*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1.475.\nAnswer: 0.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 24*w - 54. Let l be a(27). Suppose -4*v + 6*v - 6 = 0. What is the greatest common factor of l and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25001 and 1854422?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377152164?\nAnswer: 2, 3, 73, 143513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, d: 1, a: 2, g: 2, f: 1, k: 2}. What is prob of picking 1 a, 1 k, and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 489102.\nAnswer: 2, 3, 81517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9006983.\nAnswer: 9006983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 29. Let a = 11 - j. Suppose -2*v + v = -a. Solve v = -k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11.6, 6, 80, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122373 and 1053?\nAnswer: 14317641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**3 + 34*c**3 + 35*c**3 - 134*c**3 + 30*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llttltt. Give prob of sequence ltl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0707897 rounded to 2 dps?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/3 + 1550*g**3 + 1205864*g**2 + 952382432*g\/3 + 2760597888 = 0 for g.\nAnswer: -772, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -4*h - y, 42 = -3*h + y + 2. What is the fourth smallest value in 2, 0.2, h, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61490801.\nAnswer: 199, 308999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b6a5 - 5?\nAnswer: 6b6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397975979?\nAnswer: 397975979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -4. Let k = t + -10. Let i(v) = -v**2. Let l be i(-2). Put -3, k, l in descending order.\nAnswer: k, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2789 = -24*n + 27*n - 5*z, 4*n - 3684 = -2*z. Calculate the smallest common multiple of n and 65.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903.142kg in micrograms?\nAnswer: 5903142000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 6. Suppose n**2 - n**2 - n**m + 2*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 561*s**2 + 11*s + 14. Let r be a(-10). Suppose -3*d + k - 21466 = 146533, 0 = -d - 4*k - r. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g + 7. Let l be n(-7). Suppose -2*j + j + 4*c + 9 = 0, -4*j + c + 6 = 0. List the prime factors of (j - l)*(-20)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*y**4 - 635*n*y**3 + 373*n*y - 2*y**2 wrt y.\nAnswer: -24*n*y - 3810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 160\/(2 - -6) + 6. Calculate the common denominator of 27\/14 and w\/504 + (-6 - 224\/(-36)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 4*h**2 - 3. Calculate the remainder when (-12103)\/(-104) - (-6)\/(-16) is divided by o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4436 (base 7) to base 16.\nAnswer: 63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1 - (-756)\/(-336). Let n(r) be the first derivative of 0*r**2 + 0*r + h*r**4 - 4 + 10\/3*r**3. Find the third derivative of n(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(37*b**2 - 56*b**2 - 27*b**2) + (-2*b - 2*b**3 + 2*b)*(-2 + 6 + 1) + (2 - 2 + b**2)*(b - 2 + 2).\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -2.01?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1159 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14649.56 and 19.\nAnswer: 14668.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + v + 258 = 0, -30*b + 158 = -27*b + v. What is the remainder when b is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56273.41 micrometers in kilometers?\nAnswer: 0.00005627341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -241968 divided by 903?\nAnswer: -80656\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 22. Solve q*r - 26 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2814 or -4455?\nAnswer: 2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 13*y. Solve -36*o + 35*o + 2 = y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v + 1. Let n(u) = -6*u**2 - 4*u + 3. Give -2*l(i) + n(i).\nAnswer: -4*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58250?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 13*l + 495 = 0. Let i be (8 - 15 - l) + 4. Solve i = 5*m + 3*c, 5*m = 2*c + 4 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 8 + 2. Suppose 0 = -s - m - 9, -3*m + 12 = 0. Let i(y) = y**3 + 14*y**2 + 15*y + 16. Let d be i(s). Is u greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/605 + -629\/2420. What is the third smallest value in -78\/11, i, 0.4, -0.6, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w**3 + 71 - 6*w**2 - 73 + 5*w**2 + 5*w**2 to the form d*w + v*w**2 + x*w**3 + h and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -4, -17, -46, -97, -176?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 3. Suppose 2*w = -k + w - i, -4*w - 2 = 5*k. Let h(x) = -x**2 + 13 + 2*x**k - x - 14. Let q(c) = c**2 - c - 4. Determine 3*h(p) - q(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(((-75)\/1800)\/((-1)\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(936\/65)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1841*o - 1827*o + 210 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/9, -6.6, -0.2, -164 in descending order.\nAnswer: 0.5, -0.2, -2\/9, -6.6, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26*t**3 - 6*t**2 + 10*t - 14. Let n be v(2). Which is greater: n or 183?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 8:43 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2)))**(-6\/19)*u*u**(-7)*u**(1\/5) assuming u is positive.\nAnswer: u**(-491\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3700, 3734, 3826, 4006, 4304?\nAnswer: 4750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w + 0*w)*(w + 0*w + 3*w)*(1 - 3 + 0)*(5 + 0 + 1).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -694, -1106, -1518, -1930?\n\"Answer: -412*z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3307357 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69639*q - 2442 = -69565*q for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - 3.993. Let i = -14 - -13.85. Let n = i - f. What is n rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21787*v**5 + 2*v + 46243 wrt v.\nAnswer: -435740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-15)*(0 - -5). Let y(i) = 2*i**2 + 218*i - 4394. Let c be y(21). Calculate the greatest common factor of c and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 5, j: 8}. Give prob of picking 3 w.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43758 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 64. Suppose -4*z + 0*z = -4*q - 4, 3*z + 5*q = -l. Let o be 2\/4 + 2\/4. Put -4, z, -5, o in ascending order.\nAnswer: -5, -4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1319 - -1396. What is the greatest common divisor of n and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 15*d)*(4 - 4 + 2*d) + 4*d - d**2 - 4*d.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - p = 15, -p + 19 = -4*g + 2*p. Let v(m) = -m**3 + 4*m**2 + 12*m + 5. Let s be v(6). Is 217 + (-5)\/(s\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/(-24) + 4\/(-6))*0. Let d(o) = 0 + 0 + o**3 + o - 8. What is d(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 624*r**4 - 264009*r**3 + 463591511?\nAnswer: 2496*r**3 - 792027*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = 2*w, 3*w + 14 = 3*z + 5*w. Let t(o) = -2*o + 6. Calculate t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2957\/3 or -985?\nAnswer: -2957\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16760 + 1640. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -27. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3, 0*b + b + 12 = -z. Let i(m) be the first derivative of -17*m**2\/2 - 8*m + 3. Let h(y) = -4 + 4 + 2 + 4*y. Determine b*h(j) - 2*i(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -o - o + 44 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*h = -6*h + 20, -4*h + 30 = 2*c. Suppose -9 = c*q - 59. Suppose 12*g - 7*g = q. Solve -g*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 15*f - 29. Calculate t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 58.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 7. Let j(f) = -f**3 + 706*f - 351*f + 6*f**2 - 7 - 353*f. Let z be j(6). Calculate h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**3 + 7*b**3 - b**3 + (-12*b**3 + b**2 - b**2)*(-1 - 2 + 7) - 9*b + 7*b**3 + 9*b to x*b**2 + j*b**3 + o + y*b and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2976 and 204?\nAnswer: 50592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7393 less than 0.00646004?\nAnswer: -7392.99353996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79809, -159614, -239431, -319266, -399125, -479014, -558939?\n\"Answer: -v**3 - 79798*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l**8*l))*l**(-8\/5)*l)\/(l**2*l*(((l**28\/l*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*d - 980 - 1421 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 104)*16\/(-36)*18\/(-4 - 2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**3 - 3*z**3)*(-6 + 1 + 3) + (-1 - 3*z**2 + 1)*(0 + 0 - 2*z).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*g**2 - 27*g**2 - 45 - 31*g**2 - 6 to n*g**2 + a + o*g and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 42\/5*b - 42\/5*b**3 + 3\/5*b**2 - 3\/5*b**4 = 0. Calculate b.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505787929?\nAnswer: 1559, 324431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432195646.\nAnswer: 2, 7, 223, 283, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-8)\/((-48)\/(-14)). Suppose 2*c = -4*n - 160012, b*c + 2*n = -c - 320006. Round c to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 360058\/21 and 17147 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + c + 2*c)*(-3*c + 3 - 3)*(-c**2 + 2 - 2) + 51*c**4 + 6*c - 53*c**4 + c**3 + 61*c in the form o*c + z*c**3 + q*c**4 + h + s*c**2 and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13323.\nAnswer: 3, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 + 3*y**3 - y**3 - 28*y**2 + 28*y**2 - 6*y**3.\nAnswer: -4*y**3 + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.43. Put m, 0.06, 0.2 in ascending order.\nAnswer: 0.06, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2060, -2408, -2756, -3104?\nAnswer: -3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -604 + 1013. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5101.877 decades in millennia?\nAnswer: 51.01877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 845*y + 88*y + 774*y + (y + 2*y - 5*y)*(-2 + 0 + 3).\nAnswer: 1705*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -98*o + 96*o + 3*w, o - 20 = 5*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*b - 97 = 0, -3296*b - 55 = -2*q - q - 3295*b for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**4\/4 + r**3\/2 + 4*r**2. Let g be d(7). Factor -g*l**4 + 12*l**2 - 15*l**3 - 12*l**5 - 15 + 15 - 21*l**3.\nAnswer: -3*l**2*(l + 2)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(112) + 0 + sqrt(112) + sqrt(112))**2 - sqrt(112)) + -2.\nAnswer: -6050 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 2. Suppose -11726*x + 11700*x + 281 = -187. What is the least common multiple of x and j(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*n**2 + 29976*n + 4417989 wrt n.\nAnswer: -110*n + 29976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 124*m + 2390. What is the remainder when o(-16) is divided by 194?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/7 - 6\/12*47450\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03019710592 to four decimal places.\nAnswer: 0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (1*sqrt(33)\/sqrt(3))**2 + 2*sqrt(11)*-1)*1 + (-1*(sqrt(66) - (sqrt(66)*1 - sqrt(66) - sqrt(66))))\/(2*sqrt(54)).\nAnswer: -4*sqrt(11)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -129*a + 4. Is u(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161456 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -0.065. Let j = k + 0.007. Let g = j - 0.151999338. Round g to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436, 870, 1304?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -3, -28\/181, -21\/2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2266 = 3*d - f, 0 = -4*d - 2*f - 1979 - 1059. Do -751 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -421, -436, -469, -526, -613, -736, -901?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3332 - -67?\nAnswer: -32ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pey when three letters picked without replacement from {p: 4, y: 3, e: 6, q: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-six fifths of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6*u = -27. Suppose 12*b - u = 13*b. Calculate the remainder when 174 is divided by 21\/b - -4 - -62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*m**2*o**2 + 2*m**2*t + 811975*m*o**2*t + 2326*m*o**2 - 118*m*o wrt t.\nAnswer: 2*m**2 + 811975*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018395904 to seven dps.\nAnswer: 0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**6\/120 - w**4\/24 + w**3 + 3. Let k(i) be the third derivative of s(i). What is the first derivative of k(z) wrt z?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*q = 23, 2*q - 10 = -2*c - 2*c. Suppose -5*s + 121 = c*b, -72 = -6*s + 3*s - 3*b. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 6*l - 1. Let p be g(4). Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 - -127. Let k = x - -123. Let p = -8.3 - -8. Which is the nearest to 2\/31? (a) k (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 12) to base 2\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13624 (base 7) to base 8.\nAnswer: -7236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10063333 and 23048.\nAnswer: 80506664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -125 - (-42 - -74) - -43?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 32. Let f be a(-19). Suppose n = -30*k + f*k + 316, k + 916 = 3*n. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 153 = -3*y + d, 2*y - 8*d - 103 = 2*d - 5*d for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -78. Let l be d\/54 - 728\/36. Let i be 9*1*l\/(-90). Solve -i*m = 2*m - 2*w + 8, 5*w = 3*m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + -5 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12503, -12, -0.03, -0.07?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 50*d**2 - 3*d - 2. Let q(n) = -17*n**2 + n + 1. Calculate 17*q(b) + 6*s(b).\nAnswer: 11*b**2 - b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 + 215500*n + 861968 = 0. What is n?\nAnswer: -107746, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163614328*v**2 - 64465083*v.\nAnswer: -327228656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/12 + 6327*p**2\/4 - 2400418*p\/3 - 1606605 = 0. Calculate p.\nAnswer: -19474, -2, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8*u - 4*u + 6, 0 = 3*u + 2*s + 22. Let n be 0\/(-1 + 2) + (42 - u). Let f = 491 + -123. What is the highest common divisor of f and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/3 - 5*i**4\/3 - 7*i**3\/3 - i**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -252.07 - -265. Round u to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 9, 20\/21, 2\/11, -5?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (171 - 168) + (3 - (-1 + 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81\/4159 - 35855306\/29113. Let n = k - -1233. Suppose n + 22\/7*z + 2*z**2 + 2\/7*z**3 = 0. What is z?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sac when three letters picked without replacement from {a: 6, b: 3, s: 4, c: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 = 3*z, 32*g - 4*z = 30*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2824, 2827, 2830, 2833, 2836, 2839?\nAnswer: 2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/81 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 + 81*s + 220. Let v(w) = 19*w + 1. What is the lowest common multiple of x(-8) and v(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - (-2 + 1)) + (487 - (755 - 322))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270356 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10718, 23220, 35722, 48224?\nAnswer: 60726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45565 or -45566?\nAnswer: -45566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -674 - -682. Calculate the remainder when 26 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(96\/(-30) + 4). Solve -f = -b + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*f**3 - 127*f + 61\/4*f**2 + 35.\nAnswer: (f - 5)*(f + 14)*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4607.4 and 0.36.\nAnswer: -4607.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2400*z**2 - 3*z - 90. Let c be d(-10). Round c to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 27*g**5\/10 + 3853*g**3\/6 - 4357*g. Find the second derivative of b(u) wrt u.\nAnswer: 324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305132 (base 6) in base 12?\nAnswer: 1051a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 463056 (base 7) to base 2\nAnswer: 10100001100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(102)*2 + sqrt(102) + sqrt(102)) + sqrt(102))\/(sqrt(6) - sqrt(162)\/sqrt(3)))**2.\nAnswer: 8993\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-75) - (-19890)\/(-5835375) - (-10)\/(-35)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + 2*z + 7. Let x be (-3 - -3) + -3*1. Let a be (0 + x)*2\/6. Let y(f) = f**2 - 1. What is a*g(c) - 6*y(c)?\nAnswer: -2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82643172 to the power of 1\/2, to the nearest integer?\nAnswer: 9091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**2 - 24*a**2 + 57*a**2 - 24*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 2, 5\/7, 1, -638382 in ascending order.\nAnswer: -638382, -3, 2\/7, 5\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -232e56?\nAnswer: 232e58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12444176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 12 + 8. Suppose 2 = k*o - 13. Solve -v + 2 = o*a + 9, -2*a - 5*v = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 at most as big as 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -430*i + 4309. What is k(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*40\/(-20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 19*c**2 + 4*c + 4. Suppose -9*k + 0 - 36 = 0. Let u be k - -2*(-15)\/(-10). What is the tens digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 7 = 3*l, -5 = -l + 1778*y - 1776*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7070605 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9036049.993 rounded to the nearest one thousand?\nAnswer: -9036000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7ca2 (base 14) to base 2\nAnswer: -101010011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20666, -20486, -20190, -19778, -19250, -18606, -17846?\n\"Answer: 58*s**2 + 6*s - 20730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aon when three letters picked without replacement from noeonnenonanoeneee.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0139 in 1\/3, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 5*a - 13*a - 2 + 0*a + 4*a - 2*a - a + a - a + (a + 4*a - 4*a)*(-5 + 4 + 3) to t*a + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9414 (base 11) to base 10.\nAnswer: -12478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 + 5658?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44773\/22 + 2036. Let x = 2183885449\/13314 + -10334215\/63. Let p = -94\/317 - x. Find the common denominator of p and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -10*v**3\/3 + 7*v**2\/2 + 10*v - 15. Let t = -13 - -8. Let j(h) = -7*h**2 + 5*h + 7. Let a(m) = t*g(m) + 7*j(m). Factor a(o).\nAnswer: (o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/(3\/(-15)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -545635 - 3?\nAnswer: -545641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-15*(-22)\/18. Suppose -113 = -5*r + 4*a, 4*a - x = -2*r - r. Suppose -m - 1 = t - 5, 4*m - r = -3*t. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 3. Suppose 0 = 98*k - 94*k - 12. Let m(g) = -9*g**3 + 5. Give k*m(d) - 5*u(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z - 21 = 127*z - 119 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012833 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/991 and -19\/2.\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1004241?\nAnswer: 1004301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.7054081483 - 17.\nAnswer: -4.2945918517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/(-2)))\/(10\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3271265 months to millennia.\nAnswer: 0.000110593875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**2 + 12*q**2 + 2*q - 1 + 3*q**2. Let l(h) = 6*h**2 + 2*h - 1. Determine -3*f(u) + 2*l(u).\nAnswer: -3*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -0.2 (c) 0.05 (d) 5 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 2. Suppose 3*l - c + 2*c = -5, -3*l - 4*c = -7. Calculate o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/138*12\/(-46). What is the nearest to -1 in -1\/5, -0.5, u, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:25 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 76 = -71*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 679, -715, -0.5 in ascending order.\nAnswer: -715, -0.5, 29, 679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*y = -y, 2*g = 3*y. Let t(q) = q + 133. Is t(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r + 44. Give d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 2 - (87 + -70 + 35 + 1)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-88)\/16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -798103.\nAnswer: -798102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -242, -486, -730?\n\"Answer: -244*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1129348 and 6128?\nAnswer: 1730161136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/456 and -155\/228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*f = 365*f. Suppose -2*o - 12 - 14 = f. What is the third biggest value in 1\/4, -3, o, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -59697.4\nAnswer: -179092.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 284.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2\/7 + 77696*q\/7 + 11100 = 0.\nAnswer: -1, 19425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2. Let v(u) be the first derivative of -1\/2*u**2 + 2 + 0*u. What is v(o(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -156, -141, -124, -105, -84, -61?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -20*g - 127. Calculate a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -3, 2\/11, 12\/13, -36670?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(2*o + 3*o - 2*o)*(-2 + 4 - 3) as q + h*o and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*z - 2284842 - 16453155, -p - 4684505 = 5*z. What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17540*x**5 + 16*x**4 - 2*x**3 + 2*x**2 - 2177*x + 409 wrt x?\nAnswer: -1052400*x**2 + 384*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i. Let n be z(1). Let l = n + -2. What is the remainder when 27 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -762314767 + 89952123431\/118. Let a = l - -8636. Calculate the common denominator of -29\/8 and a.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*q + 3*l, 0 = q - 5*q + 3*l + 32 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*s + 26*s - 89*s)*(-9 + 13 - 34)*(1 + 0 - 3)*(-3 + 4 - 2)*(-2 - 1 + 6).\nAnswer: 18000*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3 = 6*h - 10*h, h + 4*s + 17 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 < -694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.1 and -21137.\nAnswer: 213483.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*s + 1 = s, -4*b = -5*s - 22. Suppose y - 2 = -b*u + 6, 4*u = 4*y. Calculate the lowest common multiple of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27470 and 35510?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600641.\nAnswer: 600641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15478422823 + 12.75.\nAnswer: -15478422810.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 3)*1*-1. Suppose 4*p - 42 - 90 = f. Let b = p + -18. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 3, z: 3, v: 2, t: 1, m: 3}. Give prob of picking 1 g and 1 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416180*v**5 + v**4 + 171*v**2 - 263369474*v.\nAnswer: -8323600*v**3 + 12*v**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 12*a + 20 = -15*a - w, a + 4020*w + 116 = 4013*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 7*i**2 - 5*i + 3. Suppose -4*j + 36 = -l, -j - l = -0*j - 4. What is the tens digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -440 - -745. Suppose 5*i - 1852 = -4*t - d, -5*t = i - 322. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/7, 1\/1425 in ascending order.\nAnswer: 1\/1425, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799533 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5632 + 0.1632. What is the smallest value in 8, h, 2\/69?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. What is the third derivative of -8*j**5 - 7*j**2 + 2*j**4 - h*j**2 + 7*j**5 + j**2 wrt j?\nAnswer: -60*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/30*3\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/5*(-20)\/6. Suppose -f - 4*l + 6 = 2*f, -l = -5*f + k. Is (-1)\/(-1)*44\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) + 1640\/(-56). Let r = q - -48. Let m(p) = -p**2 - p + 57. Let y be m(0). What is the greatest common divisor of y and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 378a - -bd?\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2. Let x(r) = -r + 2. Suppose -2*u - y = 10, 0 = -3*u - 2*u + 4*y - 51. Let i be x(u). Let n(z) = i + z - 9 + z. Determine n(a(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 25 = a + 2, 0 = -5*a + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*((sqrt(153)*-3 - sqrt(153))*-5 + sqrt(153)) - (0 + sqrt(153) + -2 + -3)))**2.\nAnswer: 240*sqrt(17) + 61204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (2 - -2 - 11) + 3910 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.4881mg to kilograms.\nAnswer: 0.0005104881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*b*n*u + 4*b*n + b*u - 576*n*u + 4*u with respect to b.\nAnswer: -81*n*u + 4*n + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 11:04 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 188415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-4158) - 27011\/(-616) - 46.\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -38.\nAnswer: -9\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 15*k + 80. Let s(f) = 7*f + 39. What is 4*a(x) - 9*s(x)?\nAnswer: -3*x - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 51 = 17. Calculate the remainder when 1 - 877\/(-25) - 652\/8150 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 1 + -7 + 2. Suppose -d*p = -4*j + 596, -3*j + 6*j - 4*p = 449. Let o = j - 98. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/124721 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 13. Let m be (-5 - -1)\/2 - 2. Let r be 8\/34*m\/16. Do r and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -341c7?\nAnswer: 341da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35033 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let t(o) = 88*o. What is t(x(z))?\nAnswer: -352*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/10)\/(((-1)\/5)\/((-33)\/462)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/164 and -42\/41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*j + 41 = 0, 3*j + 289 - 268 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 8*l**2 + l - 11. Let v be p(8). Let q = -5562 - -33287\/6. Calculate the common denominator of (-22)\/(-8) - v\/9 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - 2*h**2 - 4*h + 4. Let i be n(2). Suppose i + 236 = 4*t. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/(b*b*b**(-2\/3)))**3*((b**(-1\/3)*b)\/b*b*b*b*b\/(b\/(b*b\/(b**(1\/12)\/b)*b))*b)**42 assuming b is positive.\nAnswer: b**313","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((1 - 2) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85200 and 90.\nAnswer: 255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:08 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 + 1 + 3 - 25*i**2. Let d(q) = 71*q**2 - 173*q**2 + 97*q**2. Calculate j(d(x)).\nAnswer: -625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 1*sqrt(1408)) + -4*sqrt(22)*3)\/(3*sqrt(704)*-3*-1)*4.\nAnswer: -19*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 168*k**2 - 79*k**2 + 86*k**2 as o*k**2 + m + b*k and give o.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haohphhpoohhhoahp. Give prob of sequence haa.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((2 - 9) + (62 - 52))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u + u - 3 + 3*u + 1 - 2*u**2. Let m(a) = a. Let j(x) = -4*m(x) + z(x). Differentiate j(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r - 15. Let b be (-4)\/18 - 2\/r. Solve h - 3 - 1 = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(33)\/((sqrt(27) - sqrt(54)\/sqrt(2) - sqrt(27))\/sqrt(9)) - 1*sqrt(11)*-2*-3).\nAnswer: -7*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 23933*q**3 + 8*q**2 - 18*q**2.\nAnswer: 23933*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v**2 + 32*v + 40*v + 92*v**2 - 115*v + 31*v to the form k*v + m*v**2 + i and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6470601*w - 7104 = 6470697*w for w.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 2466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -96.4, 0.2, 4.54?\nAnswer: 4.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 12. Let t be d(7). Let l(x) = 26*x**2 + 82*x + 18. Let r be l(-3). Are r and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10785 is divided by 2684.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*i - 42 = 0, 4*w = -4*i + 46 + 134. Solve 18 = w*l - 38*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.5 + -41.8. What is the second biggest value in -3, -2\/5, a, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2552\/85 or 30?\nAnswer: 2552\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -22752.\nAnswer: -1\/5688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4 - 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -122101121012000101?\nAnswer: -122101121012000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16917.6 - -74796.4. Let h = -91707.00035 + a. Let s = 7 - h. Round s to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5987507 greater than or equal to -5987502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7768? (a) -16 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.2 - -23. Which is the nearest to v? (a) 0.2 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*c + 13*c**2 - 152*c - 2*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8884454 and 6.\nAnswer: 26653362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 20479*n - 3673942. What is a(181)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n**5 - 8144*n**4 - 167696*n**3 + 1689984*n**2 - 3339520*n - 827392 = 0.\nAnswer: -202, -32, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 1046, 3687, 8828, 17303, 29946, 47591?\nAnswer: 71072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3487 - 2?\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2732, 5522, 8312, 11102, 13892, 16682?\n\"Answer: 2790*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -5 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41922*4.28\nAnswer: 179426.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7394 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*f = 87, 3*f - 8*f = 10. What is the smallest common multiple of j and 595?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j + 225569 - 998850. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 7 - 7)*(12*v + 5*v - 6*v)*(-4*v**2 - 2 + 2).\nAnswer: -44*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + (2 - (7 + 3)))\/((-7)\/(35\/20))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 9 = -47*r. What is the remainder when (-1)\/((-1)\/5)*r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 5*o + 3. Let w = 6 - 13. Let t be d(w). Suppose 3*c - t = c. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 420*a + 14700.\nAnswer: 3*(a - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22701 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -322437.2 * -0.1\nAnswer: 32243.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/200 - 3\/(-12). Let m = -1 - -1.06. Sort -1, m, r in increasing order.\nAnswer: -1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*z**3 + 72 - 23 - 49.\nAnswer: 163*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 244132?\nAnswer: -244133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -16*d + 325. Solve -5*m - d = 3*r, -4*m - 12 = 3*r - 6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 5*q**5 + q + (-2*q + 4*q + 0*q)*(q**4 - 3*q**3 + 3*q**3).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 12*s**2 - 10*s + 3. Let f be v(11). Let j = 17 + f. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/4385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15864 is divided by 1272?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.224, -0.0037, -3?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 6. Determine j(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 + 13 = 0. Suppose 3*i - 45 = -t*v, i = -v + 3*i + 12. Let z = 18 - v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*y - 0*y + l, 75 = 3*y + 5*l. Suppose -2 = -2*n + 3*n. Let c be n\/(-6) + 2\/(-6). Solve 5*o + 3*s + 0*s + 40 = 0, 5*o - s + y = c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 972?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.3 - -2.7. Let r = 16.3 - t. Let u = 6 + -10. Put r, -3, u in descending order.\nAnswer: r, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.2. Suppose -9*n + 6*n = -222. Let z = n + -79. Sort 3, z, u.\nAnswer: z, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*2 + 4 - ((sqrt(128) - -1*sqrt(128) - sqrt(128)) + 3) - (sqrt(128) - sqrt(128)*-1)*1*2)**2*-2*2.\nAnswer: -4612 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165056131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693 (base 10) to base 16.\nAnswer: 2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 - u**5)*(-1 + 2 - 2) + 2*u**5 + 0 + 0 + (-u**3 - 2*u + 2*u)*(0*u**2 - 3*u**2 + u**2) + 3*u**3 - 3*u**3 + 2*u**5.\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 448873171*t**2 - 109457*t + 1180 wrt t.\nAnswer: 897746342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11693, -11890, -12087?\nAnswer: -12284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.190584561 - 135.14.\nAnswer: -129.949415439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = -6*r. Solve 2*t + 9 = -4*l + 1, 0 = 2*l - r*t - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66100 and 1475?\nAnswer: 3899900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85 take away 12?\nAnswer: -11.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5780, -5783, -5786, -5789?\n\"Answer: -3*v - 5777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 6*v - 4. Let q(k) = k**3 + 3*k**2 - 2*k + 1. Let d be q(-3). Let u be r(d). Solve u*p + 0*p - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*o - 5*o**2 + 4376 - 4296 + 36*o.\nAnswer: -5*(o - 16)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u. Let v(d) be the second derivative of -d**4\/12 - 6*d. Determine x(v(z)).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-35) - (-15)\/(-126). Let p = -0.2 + 0.4. What is the smallest value in -5\/4, p, m?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + 53 - 12647*z - 6*z**2 - 53 + 12687*z = 0. What is z?\nAnswer: -10, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*21\/112*62 + 7.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4 = p, 7*z - 5*z = -p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4239 = w - r, 5*w - 3*r + 8477 = 3*w. Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*u + 122*u - 214*u - 741 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383 * 57343.\nAnswer: -21962369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3991798 is divided by 6428.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(28\/30)\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:43 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0*z)\/z)**49\/(z**9*z\/z**(-1\/6)*z*z) assuming z is positive.\nAnswer: z**(221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*d - 1017 = -1821 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.9 - -28. Is g less than -1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -18 + (88\/16 - (-3)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 185*p**4\/4 - 313*p**3\/3 + 1022. What is the third derivative of c(m) wrt m?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -46\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 353 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 6, n: 5, e: 1, b: 1, t: 2}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 35 - (1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 8*k - 9. Let a be d(7). Let g be (-2 - a)\/(0 + -1). Let b be 42\/8*88\/33. Solve -2*t = -2*l - b, g = 5*t - 3*l - 47 + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 12. Let b be j(10). Let k be 16\/12*(5 + 1). Calculate the highest common divisor of b and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13579*s - 299024 = -3219*s - 50384 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5623881 days to weeks.\nAnswer: 0.2231983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 2*q - q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.017288nm in kilometers?\nAnswer: 0.000000000001017288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 394*j - 1123. Let t be q(3). Solve 56*p = t*p + 21 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 5*q**3 - 5*q**3 - 34*q**3 + 13*q**4 + 34*q**3 + (q**3 - 7*q**3 - 3*q**3)*(-3 + 3 - 2*q) - 4*q**4 + q**4 + 4*q**4.\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = -3. Let q = 7 - 29. Calculate the smallest common multiple of 1 + t - 0 - q and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 38 - 12 = 10*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (11 + 24\/(-4)). Solve q = d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, f: 4, s: 4, q: 2}. What is prob of sequence qsqs?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010011111 (base 2) to base 16.\nAnswer: 189f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b + b**2 + 10*b**4 - 92 + 4*b**4 + 45 + 45 as p*b**3 + c*b**2 + k*b + l + a*b**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:13 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3224958033 divided by -3.\nAnswer: 1074986011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, 3\/8, -0.5, -1\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6508 - 6508.7. Is m > 434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*a, 0 = -t - a + 18. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-92)\/(-6))\/((-1719)\/5157).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 1412?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**3 - 241*m**2 - 372*m - 6. Let k(f) = -3*f**3 + 32*f**2 + 53*f + 1. Give -15*k(y) - 2*v(y).\nAnswer: 7*y**3 + 2*y**2 - 51*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119373481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 15*g - 5*s = -3*g + 29, -6*g = 7*s + 2*s - 39 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m)**(-16\/5)*m**(-1\/3)*m**(-3)*(m**0\/m)**(1\/32)*m**0\/m**(-5) assuming m is positive.\nAnswer: m**(5393\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 79*s**2 + 65774*s + 1314. Calculate x(220).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -23*s**2. Let w(v) = -14*v**2. Let y(o) = 9*o**2. Let u(z) = 5*w(z) + 8*y(z). What is u(t(r))?\nAnswer: 1058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2369*a**5 - 200*a**3 + 1301576*a**2 - 4*a?\nAnswer: -142140*a**2 - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410001 - 4?\nAnswer: 404442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 - m**4 + 22*m**4 + (m**4 + 3*m**3 - 3*m**3)*(-4 + 5 - 3).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 4*i**2 + i - 5. Let n = 71 + -51. Suppose 7*l + n = 2*l. Give o(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s\/(s\/(s**(-1)\/s)))\/s)\/s*s)*s)**(1\/43))**(-42) assuming s is positive.\nAnswer: s**(-210\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/6 - q**3\/2 - q**2\/2 + 11*q\/6 - 1 = 0 for q.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/71, 2\/5, -18, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 26, 117, 296, 593, 1038, 1661?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14902608 divided by 7.\nAnswer: 2128944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.061 + 0.021. Let d = 82 + -86. Which is greater: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 - 6*i**3 - 24*i**2 - i**3 + 4*i**2.\nAnswer: -7*i**3 - 45*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-4 + (-435)\/(-105). Let t(o) be the first derivative of 1 - h*o**2 - 9\/14*o**4 + 8\/35*o**5 + 4\/7*o**3 + 0*o. Factor t(x).\nAnswer: 2*x*(x - 1)**2*(4*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1680)\/(-470) - (-1 + 5). Let o = z + 394\/705. Which is the fourth biggest value? (a) 4 (b) o (c) -9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5*6\/(-60)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**3 + 6*l**2 - 8*l + 1. Let h(b) = -b**3 + b**2 - b. Let r be -3*(2 + (-7)\/3). Suppose 2*z + 7*y = 3*y, 0 = -2*z - 2*y - 6. Give r*a(i) + z*h(i).\nAnswer: -2*i**3 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*o**3 + 2 + 105*o**3 + 148*o**3 as n*o**3 + a + x*o**2 + m*o and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55312853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/4 - 2\/4. Let g be ((-6)\/(-8))\/(v\/12). Let o(f) = f**3 - f**2 - 2*f + 3. What are the prime factors of o(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8 and 107\/710.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8.2 (b) -0.2 (c) -4 (d) 1\/5 (e) 479 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/5 - 10 - (366 - 0). Let p = k + 530. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:49 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34556803?\nAnswer: 151, 228853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a century in decades?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2381.615l?\nAnswer: 2381615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 6 - 133*(-2)\/(-42). Which is greater: g or -1\/809?\nAnswer: -1\/809","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1930 and -76.4?\nAnswer: 2006.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:58 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - 3*(sqrt(272) + sqrt(272) + 2 - sqrt(272)))*-1)**2.\nAnswer: 96*sqrt(17) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2633958259 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 - 6*p - 1. Let y be k(6). Let z be y + 2 - (-4)\/(-10). Which is smaller: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16292?\nAnswer: 2, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/(-2*(-1)\/(-8)). Which is the biggest value? (a) 2 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - v = 2*u + 9, -334*u + 344*u + 18 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/36267 and 99\/314104.\nAnswer: 1627372824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.068975 less than -2636?\nAnswer: -2541.931025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruuurruurububbbr. Give prob of sequence rur.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111222101 (base 3) to base 15.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 19 = 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4148 - 4148 - 431972*p**2.\nAnswer: -431972*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*s - 1113*s + 159 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 22*i - 122. Let k be j(-11). Let o be 1\/(-3) - (-2)\/6. Suppose n - 5 = -o*n. Sort k, -4, n.\nAnswer: -4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 473\/318 - -2\/159. Let f = -0.17 - 2.83. Let n = 907\/7 + -130. Which is the third biggest value? (a) n (b) x (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 + 2*j - 1. Let v be i(-4). Suppose -5 = 4*g + v. Let c(n) = 2*n - 3. Calculate c(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483 is divided by 8254\/10 + 1536\/160 + -10 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let v(f) = -16*f**2 - 296 + 296. Calculate v(a(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -6234\/395?\nAnswer: -6234\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -5. Is (-3 + 81)*x\/(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a - 18*a + 31*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (sqrt(252) - 1*sqrt(252)) + 1*sqrt(567))*6.\nAnswer: 8 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 6445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1501752 or -1501760?\nAnswer: -1501752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 + -0.354.\nAnswer: 206.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/((720\/(-630))\/(18\/14)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(180)*-1))**2*6 - (4 + (2 + (-2*sqrt(2) - sqrt(2)))*-2))*1 + 3.\nAnswer: -6*sqrt(2) + 10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-2 - (1 + -3). Suppose d + 4*d = w. Which is greater: 5\/4 or d?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-260)\/5)*(-116)\/(-145). Solve d + 1 = -t - 1, 5*t + u = 5*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1629*a**2 + 27*a - 311124.\nAnswer: 3258*a + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 4386?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) + -5*(sqrt(104) - 3*sqrt(104))))\/(((sqrt(144) - -3*sqrt(144))\/sqrt(9))\/sqrt(2)).\nAnswer: -33*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9876 - -9875. Put m, -2, 5, 3, 6 in decreasing order.\nAnswer: 6, 5, 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 12*k = 790. Let j = -15 + k. What is the highest common divisor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1\/(-2))*-4. Find the third derivative of 3*z**6 + 4*z**r - 2*z**6 - 3*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1454, -2926, -4348, -5630, -6682, -7414, -7736, -7558?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {q: 4, t: 6, x: 2, e: 4, l: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2605.\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*t + 14. Let d(i) = 5*i + 2. Determine d(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:31 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 39 = -3*x, x = -3*x + 12. What is the lowest common multiple of k and 6\/12*(-12)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.139 + 0.077. Let m = t - 0.138. What is the third biggest value in 16, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-112)\/22)\/(-2) - 2328\/4268. Solve -c = -b + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 681 + -703. Sort m, 0.2, 2.8.\nAnswer: m, 0.2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -686, -701, -718, -737, -758, -781?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5440 = 4*k + 2*m - 9050, 5*k = 4*m + 18093. List the prime factors of k.\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 2, e: 4, s: 11}. Give prob of picking 1 s and 1 e.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2546 = 3*w - 2561, -5*w = -4*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*z**4 - 24840*z**2 - 779*z + 18946 wrt z.\nAnswer: 1092*z**2 - 49680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**2 - 3*f + 2. List the prime factors of y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-39)*(-81)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let n = f - -4. Suppose 0*z = n*q - 3*z - 79, 5*q = -4*z + 60. Solve 5*y = y + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l - 1. Let j(x) be the first derivative of 8*x**3\/3 - 4*x**2 - 3*x - 13056. Give -5*b(i) + j(i).\nAnswer: 3*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1003 and -7?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12615*k + 1 - 4 + 1 + 2 to the form m + d*k and give d.\nAnswer: 12615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21386959 is divided by 35824.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 792867916 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**1)*(j\/j**(2\/3)*j)\/j*j**2*j*j**(-2\/5) assuming j is positive.\nAnswer: j**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 1 - 73. Let i(b) = -b**3 + 9*b**2 - 95*b + 471. Calculate the least common multiple of v and i(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.5. Let l = -8.9 + 14.4. Let j = m - l. What is the closest to 1 in -3\/7, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -578353 divided by 1\nAnswer: -578353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 970 (c) 3 (d) -428 (e) 3\/7 (f) 0.2 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 + 2*u. Let x be l(9). Let m be (-77)\/15 - (13 - x). What is the third biggest value in 3, m, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 7*k**3\/3 + k**2 - 2*k + 84. Let b(z) = -15*z**2 - 5*z + 5. Let n = -2 - 3. What is n*u(q) - 2*b(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 5*c - 4. Suppose t = 5*t + 16. Let n be l(t). Let z = 13 - n. Solve -5*i + z = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 20*u\/3 - 22\/3.\nAnswer: 2*(u - 11)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2*u**3\/3 - 3*u. Let y(q) = -8*q. Suppose -m = -4*k + 40, 2*m + 13 + 13 = 2*k. Give k*b(p) + 4*y(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3666*u - 1 + 3677*u)*(-6*u + 2*u + 3*u + (0 + 7 - 3)*(-u + 3*u - u)).\nAnswer: 33*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -53. Is 0.01 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35342 is divided by 3518.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**9\/12096 + i**8\/20160 + i**7\/5040 - i**6\/720 + 23*i**5\/20 - 94*i**2. Let d(h) be the third derivative of l(h). Give d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(91) + sqrt(91) + (sqrt(91)*-1 - sqrt(91))*-1 - (sqrt(91) - (sqrt(91) + (1*sqrt(91) - sqrt(91))))*-2)\/(6*sqrt(63) - 2*sqrt(112)))**2 + 1).\nAnswer: -462\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1320?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**4\/12 - s**3 - 101*s**2\/2 + 3*s - 1. Let y be n(-8). Solve 4*h - y*h = -28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 117.35353.\nAnswer: 131.35353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/6 + 415793*l\/3 - 5821004\/3 = 0. Calculate l.\nAnswer: 14, 831572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -790 + 652. Suppose -o = -2*b + 275, 0*b + 2*o = 3*b - 410. Let c = b + a. Solve -12 = j + c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*h + 28 = -8, -5*h + 10 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let b(s) = 16*s**2 - 2*s + 2. Let y(n) = n - 1. Let j(g) = -b(g) - 2*y(g). What is a(j(f))?\nAnswer: -256*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 2*z**2 + 2*z. Let x be d(2). Suppose -5*m + 2*y = -1756, -x*m - 4*y = -7*y - 1402. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19305.31 kilograms in nanograms?\nAnswer: 19305310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760)*-2*-1 + -3*1*sqrt(5760))\/(sqrt(72)*1*-2 + (sqrt(72) + sqrt(72)*2)*6).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -23*j**2. Let o = -89 - -93. Suppose 0 = -2*k - 2*x + 16, -2*k + o*x + 2 = -2. Let r(h) = -4*h + h + k*h - 5*h. Give s(r(b)).\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + j + 0*j + 3*j. Let z(f) be the third derivative of -f**4 - 7*f**2. Calculate z(l(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480047, -960096, -1440151, -1920212, -2400279, -2880352?\nAnswer: -3360431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 14 = 37*u - 32*u, -2*q - 3*u = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4300208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, 4, 59, 144, 259, 404, 579?\n\"Answer: 15*y**2 - 20*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4 - 87876*j**2 + 689515?\nAnswer: 4*j**3 - 175752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416861357*v**2 - 787056043*v.\nAnswer: -833722714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23037 is divided by 470.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99290 and 2.\nAnswer: 99290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71.09 and 0.08.\nAnswer: -5.6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5734114.1 to the nearest 10000.\nAnswer: -5730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337*t**2*w + 59*t**2 - 538*t*w**4 + 46237 wrt w?\nAnswer: 337*t**2 - 2152*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 7*z + 27. Give h(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (176\/(-43 - -35) + -21).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 26*o. Let t(p) = -93698*p. Give f(t(u)).\nAnswer: -2436148*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7074033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 34.2\nAnswer: 923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a kilogram in grams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - 1*sqrt(66)*2) + (sqrt(66) - (sqrt(66)*-1 + sqrt(66)))*-5)\/((sqrt(1350) - 2*sqrt(1350)) + sqrt(54) + -4*sqrt(486)).\nAnswer: 5*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 545876.9 times -0.01?\nAnswer: -5458.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9551360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.6 + -2.4. Let j = u + 23.01. What is j rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7889 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 6*n = -n - 60, -g + 8 = 2*n. Suppose 0 = 4*j + g, -3*h - 1 = 5*j + 1. What is the first derivative of -h*c**4 + 4*c**4 - 3 + 1 wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let w = -41 + 71. Let l(g) = -54*g - 24*g**2 + 24*g + w*g. Determine l(q(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 50*u**2 + 208*u + 7832. Give s(-49).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 19 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10450, 10399, 10348, 10297, 10246, 10195?\n\"Answer: -51*a + 10501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5288?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -4*x + 3*z, -x + 4*z - 4 = 0. Suppose x + 12 = 4*l. Suppose l*i + i = -i. What is the nearest to 4 in -3, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0 (c) -1.5 (d) 1.7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-2 - -65 - 0). Suppose -81 = -2*b + 5*b. Let f = b + r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/v**(-33))*v**(-14\/3)\/v assuming v is positive.\nAnswer: v**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/217?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1068.91 - 726.78. What is t rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 6. Suppose 2*r = p*m - 2*r - 177, 3*m - r - 177 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39996801 is divided by 275840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 159916904 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-15)\/75)\/(5\/25) - -2932 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9\/1501 - -250937\/45030. Calculate the common denominator of f and 17\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151638 - -151638.1299995. Let j = -0.13 + v. Round j to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/7 (b) -2\/5 (c) -571 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 126*d - 2744\/3.\nAnswer: 2*(d - 7)*(d + 196)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -13774166?\nAnswer: -13774161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 3, e: 3, a: 1, u: 1, i: 2}. What is prob of picking 1 z, 1 a, and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266*m**3*p**3*u - 6*m**3*p*u - 1340*m**2*p**3*u - 2*m**2*p*u - m*u wrt m?\nAnswer: 1596*p**3*u - 36*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -250387.056 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 14, 3, -24, -73, -150, -261?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:36 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32898*t - 65718*t + 1 - 1 + 32857*t.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81729709 a multiple of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*a + 2*a + a = 2, 0 = 18*b + 42*b + 3*a + 111 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + k + 2, -10 = 3*k - 4. Suppose 0 = -n*r + 3*r. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/30254 and -73\/44.\nAnswer: 665588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272873468.\nAnswer: 2, 3, 617, 171917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:55 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32411 + -3.4.\nAnswer: -3.07589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 236.54015574551?\nAnswer: 231.54015574551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*b - 111*b = 4*t - 4*t + 2, 8*t - 3*b - 54 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1280?\nAnswer: -1\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218181344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 20*l. Let j(v) = -47*v. Give n(j(c)).\nAnswer: -940*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 - 15158*n**2 + 28652288*n + 259099848 = 0. Calculate n.\nAnswer: -9, 3794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -547 + 4922\/9. Which is the nearest to 0.1? (a) 0 (b) 4 (c) -4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693438898?\nAnswer: 2, 846719449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 7 + 5*k - 3*k + 4 - 4 - k + (4 - 3 + 0)*(k - 2*k + 3*k) to q*k + w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/15 - 3*w**4\/2 - 44*w**3\/3 - 61*w**2 - 2. Suppose r(v) = 0. Calculate v.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16832867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.2. Let u be ((-11)\/5)\/(6\/10) - -3. Let z be 209\/(-44) + 4\/8*8. What is the smallest value in n, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*((sqrt(931) - ((sqrt(931) + -2)*5 - sqrt(931)))*-2 + -5))**2.\nAnswer: -614538 + 37800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**4 + 13*q**3 - 6*q**2. Let h(l) = 12*l**4 - 51*l**3 + 24*l**2. Let v(o) = -15*f(o) - 4*h(o). Factor v(b).\nAnswer: -3*b**2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 2*q - 2*q)*(3*q + q**2 - 3*q) + (-2*q**2 + 0 + 0)*(-36*q - 26*q - 34*q) + 5*q**3 + q**3 - 4*q**3 as n*q + r + d*q**2 + x*q**3 and give x.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32 + 3 - (-2 + 1). Suppose 3*h - 3*c = -24, -c = 4*h - 6*c + d. Calculate the remainder when 5 is divided by ((-3)\/h)\/(3\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 2*n**2 + 6*n + 246. What is w(0)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3*u*v - 22617*q**3*v + 123755*u*v + 3 with respect to q.\nAnswer: -12*q**2*u*v - 67851*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uut when three letters picked without replacement from rtauautaauru.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (301938\/(-156))\/((-686)\/28).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -89.1 (b) -0.4 (c) 22 (d) 10 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 191, 495, 921, 1469?\n\"Answer: 61*a**2 - a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2134 and 73\/776.\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + 11*b**4\/12 + 2*b**3 + 10*b**2 - 101*b. List the prime factors of v(-7).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**9\/1512 + c**5\/40 + c**3\/3 - 2. Let p(q) be the third derivative of u(q). Find the second derivative of p(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/1863 + 61*(-2)\/(-918).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2466, 2790, 3114, 3438?\n\"Answer: 324*d + 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59761898*j**3 - 59761784*j**3 + 119523676*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317323 rounded to the nearest ten thousand?\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -8)\/(2 - 1). Let b = y - -2. Solve -2*m = -6, -b*z = 2*z - 5*m + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 7*w**2 - 8*w - 18. What is i(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 1555*q**2 - 148855*q - 4524905.\nAnswer: -5*(q + 73)*(q + 77)*(q + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*w - k - 2, 5*k = 4*w + 5. Let y be (2 - -3)*2\/(-15). Which is the closest to 1? (a) y (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4107761 (base 8) to base 15\nAnswer: 16691a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyiyyyiyi. Give prob of picking 1 y and 3 i.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 2. Let j be (-1 - t\/(-3)) + 28\/156. What is the closest to j in 4\/9, -4, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 + 2*n. Let u be w(4). Suppose 0 = 4*v + u - 212. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1012 + -852. Calculate the lowest common multiple of 160 and b.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53*562\/74465*((-525)\/2)\/3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 2. Let h be q(3). Calculate the remainder when 21 is divided by -2*h\/(-4) + (-11)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/11, -2\/11, 0.2, 72315?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2611035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and -0.6032.\nAnswer: -9.6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - o + 2. Let t be p(-2). Let k = t + -15. Suppose -q + 15 = -k. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44c99 (base 16) to base 14.\nAnswer: 74973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 141*h**2 + 43*h - 207. Determine l(0).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - (-5 + -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + (-269 - -232).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*r + 7*r - 3 = 0, -1 = 5*n - r. Solve n = -3*s - 0*t - 2*t + 11, -19 = -5*s - 3*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 7\/390*r**5 + 0 + 0*r**4 + 1\/780*r**6 + 0*r + 39*r**2 + 0*r**3. Factor c(f).\nAnswer: 2*f**2*(f + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110 + -11010110?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 1\/12*p**4 - 2 + 0*p**3 - 1\/2*p**2 - 4*p. Let a(w) be the first derivative of i(w). Factor a(m).\nAnswer: (m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 54*s - 53*s = -72, 2*x + 2*s = 48. Suppose 3*g + 2*p - 4 = 0, g - 20*p = -15*p + x. Solve -2*f + g*f - b = 5, 3*f - 3 = -3*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 831.2899 decades?\nAnswer: 99754.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59049 and 5715.\nAnswer: 37496115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369420 and 170562.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749.625 millilitres in litres?\nAnswer: 9.749625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 232c6 - -4?\nAnswer: 232ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2. Let b(c) = -383*c. What is r(b(j))?\nAnswer: 293378*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73344 and 806784.\nAnswer: 806784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q*q**(-7)))\/(q*q*q\/q**(1\/3))**(1\/8) assuming q is positive.\nAnswer: q**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 8*d + 32. Suppose -13*k + 1 = -12*k - 4*z, -62 = -5*k + z. List the prime factors of v(k).\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676032531 to the power of 1\/2, to the nearest integer?\nAnswer: 51730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/68 and -81\/72780928?\nAnswer: 1237275776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d + 10. Let u(b) = 25*b + 17. Let w(o) = 7*t(o) - 4*u(o). Let s(j) = 13*j - 3. Let m = 8 - 6. Suppose -14 = -m*f - 0. Determine f*w(g) + 5*s(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3*-21*(-5445)\/(-90) is divided by 842.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) -5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - f = -9*q + 2636, -q - 3*f + 524 = 0. Calculate the greatest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p + 5. Let y = -131 - -126. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/32*1\/((-3)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j = -2985. Let k = -353 + j. Suppose -5*q + 1 = -k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9875 is divided by 1171?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -1445*w**2 - 26008*w + 36 = 0.\nAnswer: -18, 2\/1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 5. Let l be m(0). Let i be ((-2)\/l)\/((-63)\/15). Let b be 4\/51*6\/4. Put -2, b, i in descending order.\nAnswer: b, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2698975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66136.25l?\nAnswer: 66136250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1138 - 1115. Suppose 20 - 10 = 5*c. What is the second smallest value in j, 1\/3, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11139576 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Suppose 0 = 4*m + 5*y - a + 2, 2*y - 11 = -5*m. Put m, -1, -4 in decreasing order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1694 and 7865?\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14544 and 1206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-4))\/(-5)*(1 - 7). Let x be ((-1809)\/36)\/(n\/(-12)). Let v = -52 - x. What are the prime factors of v?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a factor of 5487255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4802551253.\nAnswer: 4802551253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/24*(870 + 0 + -3). Suppose -8*x = -j - 158. What is the remainder when x is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*u - 17. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.5838686 to 3 dps.\nAnswer: 56.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 - 5*j)*(-2*j - 3 + 3)*(0 - 3 + 1).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010621 rounded to 4 decimal places?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 16 = -9. Let g be -28*((-5)\/(-3) + (-1)\/(-3)). What is the remainder when h is divided by ((-1)\/12*3)\/(2\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:15 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*l**2*u + 493*l**2 + 3*u**2 - 2*u + 19 wrt u?\nAnswer: -5*l**2 + 6*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 172.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 4*m + 49*m**2 + 2*m.\nAnswer: 49*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let d = 0 - -3. Suppose 2 = k - d. Solve -k = -2*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(0 + (-3 + sqrt(1700) + 4 + sqrt(1700)*-2*3)*-5))**2.\nAnswer: -62500*sqrt(17) + 26563124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f**3 - 384*f**2 + 2*f + 40. Calculate w(-32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8fdf (base 16) in base 6?\nAnswer: -442303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -10*f + 17*f. Solve 0 = -f*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9555\/19656 + 15\/24?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77103 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttz when three letters picked without replacement from {p: 2, z: 3, t: 5, e: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343220*w**3 - 251218700*w**2 - 13424635*w - 179340 = 0 for w.\nAnswer: -7\/262, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two ninths of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -36.48?\nAnswer: 3.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 343098 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = r + 2*f, 4*r - 24 = -2*f. Let t(a) = -a + 12. Let u be t(r). Suppose 0*l = 2*l + 8. Sort u, l, -5.\nAnswer: -5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 1:58 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**4 + 3*o**2 - 37*o. Let y(b) = 2*b**4 - 5*b**2 + 75*b. Let t(q) = -5*u(q) - 3*y(q). What is the second derivative of t(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5163879.\nAnswer: 3, 7, 245899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905 - 2124 = 37*a - 106 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264.5 - -265. Sort 6, -21, l in descending order.\nAnswer: 6, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 140511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4253362 (base 9) in base 7?\nAnswer: 25241522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 16 - 24 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 17, g: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**10*x**(-1\/3))**44*(x**(-1)*x)**(1\/19)*((((x\/(x\/(x*x\/x**1)))\/x)\/x*x)\/x*x*x)**15 assuming x is positive.\nAnswer: x**(-1187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 2183*y**2 - 2*y - 927*y**2 - 1418*y**2.\nAnswer: -4528*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 8087707?\nAnswer: 8087707.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n**3 + (1 - 1 - n**2)*(-3*n + 5 - 5))*(6 - 6 - n + (-4 + 1 + 1)*(-1 + 1 - n) + 0*n - 3*n + 4*n).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1142?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(343) + sqrt(7) + sqrt(560)\/sqrt(5))**2 + (sqrt(70) - (1*sqrt(70)*3 - sqrt(70)))\/sqrt(10)).\nAnswer: -125*sqrt(7) + 5045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -590, 1, -3 in decreasing order.\nAnswer: 1, 0, -3, -5, -590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.3 (c) -31\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -2*y**5\/45 - 5*y**4\/54 - y**3\/27 - 336*y + 2. Solve v(b) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*l*p**3 - 177*l*p**2 + 2*l*p - 7847*l + 2*p**4 - p**2 - 4*p + 3 wrt p?\nAnswer: -660*l*p - 354*l + 24*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -55 - 2*a**5 + 17*a**2 - 2\/3*a**3 + 12*a - 17\/2*a**4. Find w such that f(w) = 0.\nAnswer: -3, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + r**2)*(-30*r - 1 - 28*r + 67*r).\nAnswer: -18*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7099*n**2 + n - 10319.\nAnswer: 14198*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483*v = -479*v + 292. Let q be 108\/81*(-1 - v). What is the greatest common divisor of q and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 12. Let j be p(-7). Find h, given that 0 + h**5 - 7\/3*h**4 + h**j - 2\/3*h + h**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*o**3 - 40*o**3 + 55*o**3 + o - 2*o**3 - o - 4*o**3 + 7*o**3 + 2*o**3 + (-o + 0*o + 3*o)*(-o**2 + 4*o**2 - o**2).\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/(-8) + 1\/4. Let g be (162\/(-90))\/((-9)\/(-30)). Let q be (117\/g + 12)*(-32)\/10. What is the highest common divisor of j and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (40\/14*(-11)\/22)\/((-14)\/6566)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(153) + 1 + (sqrt(153) + 0)**2).\nAnswer: 6*sqrt(17) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 2*t**2 - 4*t**2)*(t**3 + 5*t**2 - 5*t**2) - 4*t**3 - 9*t**5 - t**5 + 13*t**5.\nAnswer: -4*t**5 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2296748876 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab92 - 4?\nAnswer: 3ab8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t + 6 = 0. Let y be t\/(-10) + 2\/(-10). Solve -3*x = -4*g + 4, y*x = 3*x + 4*g + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*d + 15, -3*d + 6*z - z + 45 = 0. Suppose -2*s + d = 2. Suppose 3*p - s*p = -84. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*l - 7790 = 14176 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*x + 10, -5*x = o + 4*o + 10. Let t = 1 + -3. Let f = -2.6 - -1.6. Which is the smallest value? (a) t (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -73. What is the second smallest value in -1, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18\/17 - 89\/68. Let i = 130.87 - -7.33. Let v = i - 138.3. Put 5, 3, v, y in decreasing order.\nAnswer: 5, 3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)*h*h*h**(-1\/4)\/h*((h\/(h\/h**0)*h)\/h*h)**(-44)*((h\/h**(2\/11))\/h)\/((h*h*h\/(h**(-2)*h*h)*h*h)\/h)*(h**(-1\/4))**(2\/77) assuming h is positive.\nAnswer: h**(-15843\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*b, b + 2*b = c. Let o = b - -22. Suppose -3*y - o = -x, -3*x = -4*y - 16 - 70. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, z: 9}. Give prob of sequence ff.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -554778 - -218626. Let g = v + 336168.00024. Let c = -16 + g. Round c to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -558, -434, 2, 0 in decreasing order.\nAnswer: 2, 0, -434, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000 - 1015 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 385. Solve 3*p - 13 = k - 3, k - j*p + 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose -3*x - o + 17 = x, 4*x + 5*o - z = 0. What is the units digit of ((-6)\/x)\/((-1)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-135)*((-12)\/(-2))\/((30\/5)\/(-36))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 28 = -4*m, 2*b + 0*b - 7 = -m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171716 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -619\/2 - -1855\/6. Which is the fourth biggest value? (a) t (b) 2\/7 (c) -34 (d) -2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 1488?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*z + 191*z = 3*r - 6, 5*r = -3*z - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:57 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 25, -5, 6, 1\/6, -0.274 in decreasing order.\nAnswer: 25, 6, 1\/6, -0.274, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757837 - -29549.\nAnswer: 787386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*o**4 + 3\/4*o**2 + 3\/4*o**5 + 0*o + 0 - 3\/4*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-6)\/3 - 12\/5. Which is the fourth biggest value? (a) u (b) 1 (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2204410 (base 5) to base 12\nAnswer: 1a075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*o - 3*j + 5, 4*o - 20 = 3*j. Suppose -o = -2*y - 2. Suppose -y*s + 8 = -x + 1, 4*x - 2*s = -8. Is 1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*v - 76*v - 219 - 106*v in the form x*v + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1950 divided by 6.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 3. Suppose 5*m + 6 = -14. Let a be l(m). Let o = 72 + a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183738276 divided by -61246092\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2513*a**2*y**2 + 2*a*y**3 + y**3 - 111*y**2 + 9*y wrt a?\nAnswer: 5026*a*y**2 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166632 and 3975.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 2*i. Suppose 0 = x + 4*h + h - 5, 3*x - 87 = i*h. Let n = -13 + x. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*z - 17 = -0*n, 10 = -2*n - 4*z. Suppose -22\/9*f**n - 8\/9*f**4 - 2\/9*f + 2\/9 - 2*f**2 = 0. What is f?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -271*h**3 + 7*h**2 + 7*h - 18. Let r(n) = 135*n**3 - 4*n**2 - 4*n + 9. Let i(s) = 7*r(s) + 4*x(s). Differentiate i(z) wrt z.\nAnswer: -417*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00801862 * -5.\nAnswer: 0.0400931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbbbttbxbbxttbt. What is prob of picking 1 x and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 14) to base 2.\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**3 + 11*j**2 + 7*j. Let d(a) = 3*a**3 + 5*a**2 + 3*a. Let i(l) = -2*c(l) + 5*d(l). Calculate the smallest common multiple of i(-2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*j - 25*j - 40*j)*(-55*j**4 + 2779 - 2779).\nAnswer: 5995*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1702)\/111)\/(12\/(-18))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.859 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**2 + 17 - 17 + (6*v + 2*v - v)*(-3*v + 15*v + 17*v) as y + b*v**2 + u*v and give b.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:32 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**2 - 29. Let r(k) = 5*k. Let w(p) = -24*p. Let g(u) = 16*r(u) + 3*w(u). Determine g(m(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 11:58 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23\/12 (b) 5\/3 (c) 0.2 (d) -54 (e) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r)\/(((r*(r\/r**13)\/r)\/r)\/r)*(r**(2\/5)*r)\/(r\/(r\/(r\/r**27))))**(-36) assuming r is positive.\nAnswer: r**(-8712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 23. Let v be h(8). Let s be 7*((-2 - v) + 4). Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 0. Let k = -8 - -2. Let c be (5\/45)\/((-2)\/k). Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/29 (b) -12 (c) 0.1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 16 (b) -0.3 (c) 5 (d) 10010 (e) 3\/5 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, 39, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 314430 (base 8) to base 11\nAnswer: 71758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-492)\/123)\/(4\/15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12) + (-428)\/12*-379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 9. Let o = 11726.010036 - 11746.01. Let x = o + q. What is x rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -245a78 + -7a?\nAnswer: -245b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 198, 0.2, -4, 6, 2\/27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 366 - 393 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 11415*v + 22842.\nAnswer: -3*(v - 2)*(v + 3807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q**2 - q**3 + 2*q**2)*(6 + 8*q - 6) + q**4 + q - q + (0 + 0 + q**2)*(-q**2 - q**2 + 3*q**2))*(100*q - 41*q - 43*q).\nAnswer: -96*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 150714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30121728 by -624.\nAnswer: 48272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2671.7 to the nearest ten.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106610 divided by 5.\nAnswer: 21322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*u**5 + 300*u**4 + 4*u**3 - 43*u**2 - 481 wrt u?\nAnswer: 1080*u**2 + 7200*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhdyyyyyyd. Give prob of sequence hydd.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-667)\/(-161) + -9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:36 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -8)*((-135600)\/14 + 14).\nAnswer: 2, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 492 and 2706?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2638*a - 50*a**3 - 2638*a.\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2203\/40 or -54?\nAnswer: -2203\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/2 + 287*x**4\/2 - 1279*x**3\/2 + 441*x**2\/2 + 641*x - 364 = 0.\nAnswer: -1, 2\/3, 1, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 92478*j**2 + 810411651*j + 1450435286664.\nAnswer: 3*(j + 2392)*(j + 14217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3101 divided by -161.\nAnswer: 443\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 692726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p + 15 = 0. Let q(l) be the third derivative of -l**6\/120 - l**5\/15 + 5*l**4\/24 + 7*l**3\/6 + l**2 + 19. Determine q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 27, 3, 2 in decreasing order.\nAnswer: 27, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052379 rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-96)\/(-33) + -3)*1. Which is the third biggest value? (a) 1 (b) 2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 28 - 0. Let p = -153 - -265. Calculate the least common multiple of q and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1186*m**4*y + 50*m**3*y**2 - 24*m**2 - m*y**2 + 1314 wrt m.\nAnswer: -28464*m*y + 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9114 and 46158.\nAnswer: 1430898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-689)\/(-5))*2\/8. Let u = x + 33. Which is the nearest to u? (a) 1 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = -60. Calculate the greatest common divisor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/x**(1\/12)*x))\/(x\/(x*(((x**(-1)*x)\/x)\/x*x)\/x*x)*x)*((x\/(x**(6\/11)*x))\/x)\/x*x*x*x*x*x**(7\/2) assuming x is positive.\nAnswer: x**(5\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 4058\/(-665) + 4 + -1. Let j = h + -13\/35. Find the common denominator of -39 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -0*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 + 102\/18)*(5 + 5902)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(x - 5*x + 3*x) + (0 + 0 - 2*x)*(-6 + 2 + 3).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-1)*m)\/m)**(-3\/29))**(-26) assuming m is positive.\nAnswer: m**(234\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**3 + 214*u**2 - 149*u + 85. Calculate d(26).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:24 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 11*p + 32. Give j(-19).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**7\/210 + c**5\/12 - 13*c**4\/12 + 34*c**2. Find the second derivative of h(q) wrt q.\nAnswer: -12*q**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from wkwwwwwwwkwww?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(2\/5)\/h*h))**(6\/19)\/(h\/((h*h**0)\/h)*h*h*h\/h**(-1)))**(-49))**(-13) assuming h is positive.\nAnswer: h**(-291109\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from jqibdzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 4.07. Suppose 0 = 4*v - 0*v - 20. What is the biggest value in p, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) + (0 + sqrt(175) - sqrt(175)) - (2*sqrt(7)*-1 + sqrt(7) - (sqrt(7) - -4*sqrt(175))))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-51) - 3) + (-28860)\/(-907647).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2399.448 millennia?\nAnswer: 239944.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30837, -50025, -69213, -88401, -107589, -126777?\n\"Answer: -19188*o - 11649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1 + 29946\/9978. Suppose -1146*n + 1149*n + 35 = -5*l, -2*n - 5*l - 35 = 0. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -985709.1051.\nAnswer: -985708.1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18517*-284.\nAnswer: -5258828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323 and (-115 - -118)\/(2\/6)?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)*x*x**12)\/(x*x**(-9\/4)*x*x*x*x**(-3\/13)*x) assuming x is positive.\nAnswer: x**(5683\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29069 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1382\/21 + -519\/7. Let t = 11200\/1293 - -2\/431. Let z = v + t. Is z not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*k. Let x = 77 - 54. Suppose 12 + x = 5*m. Solve k - m = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-7) - (-20)\/(-70). What are the prime factors of (v\/(-4))\/(1\/(-22))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 - 3*s**2\/2 + 5*s + 74. Let d be b(8). Calculate the greatest common factor of d and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 7636518.36.\nAnswer: 7636515.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 + 0))\/(30 + -38)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -69*m**2. Let w(d) = -10*d + 126. Let c be w(11). Let v(u) = 5*u**2 - c*u**2 + 4*u**2 + 11*u**2. Determine v(p(j)).\nAnswer: 19044*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*y - 3 = -x, -2*x = 3*y - 11. Suppose -38 = -2*i + 12. Suppose 3*w - i = -x. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*c + 558 = -90*c. Let o(m) = 6*m - 9. Let f be o(7). Is c smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 8\/17 (c) -2\/13 (d) 14 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*n + 229251*n**2 - 7*n**3 - 229251*n**2)*(0 - 2*n + 0).\nAnswer: 14*n**4 - 356*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -10*b + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28801.02351 rounded to the nearest one hundred?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -226. What is the highest common divisor of b and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -98*t**2 + t. Let k(b) = -5*b. Determine k(q(v)).\nAnswer: 490*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*k. Put -1, k, 5 in ascending order.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/((-6)\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u + 14. Suppose -a - 6*a = 84. What are the prime factors of n(a)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-24)*5\/45*6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40721 is divided by 171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730690 to the power of 1\/2, to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 350 + -346. Find the second derivative of 6*k**3 - b*k**3 - 9*k**5 - 16*k**5 + 12326*k - 12272*k + 2*k**5 wrt k.\nAnswer: -460*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -435 - -436. Solve u + 6 - 5 = l, n = -u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -96, 3.\nAnswer: -96, -9, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or -0.2?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p. Let j(y) = 176*y. Calculate j(h(n)).\nAnswer: -1232*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g + 207*g**3 - 11 + 89*g - 46*g.\nAnswer: 207*g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-1) + -1)*1. What are the prime factors of 8 + g + 46\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 27 = -2*u - 3, -2*a - 48 = -4*u. Let j = -13 - -24. What is the lowest common multiple of -2 + 2 - (-4)\/(u\/57) and j?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 41534*d + 20767*d - d**2 + 13434 + 20767*d to u + v*d**2 + n*d and give u.\nAnswer: 13434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/7)*c*c**(1\/5))\/(c\/c**(-1\/3)*c*c*((c*((c\/(c**(-3)\/c))\/c)\/c)\/c)\/c)*(c**(-2\/11)\/((c\/((c\/c**(5\/2))\/c))\/c*c))**40 assuming c is positive.\nAnswer: c**(-172729\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*c = 7*c - 153, 2*z - 57 = 5*c. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1498 divided by -12.\nAnswer: 749\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22320 = -68*p + 6*p. Calculate the lowest common multiple of 600 and p.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -534 + 5868\/11. Which is the fourth smallest value? (a) l (b) -0.5 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 9*t**2 - 11. Let j(h) = 5*h**3 + 19*h**2 + h + 23. Let m(k) = 3*j(k) + 7*v(k). What is the tens digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 486000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-12)*(-5483)\/31. Let z = 1\/93 + o. Let b = 304 - 2116\/7. What is the common denominator of b and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.4*0.5\nAnswer: -81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43230 is divided by 200?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 14. Let j be 333\/(-67) + v + 4. Are 1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let q(t) = -13*t**2 - 11*t**2 + 38*t**2. What is q(p(n))?\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 1114 = -1144 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*g**3 + 13*g**3 - 93*g**3 + (-2*g + 0*g + 3*g)*(-g**2 + 5*g**2 - 3*g**2) + 2 + g**3 - 2.\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -780, -2541, -5476, -9585?\n\"Answer: -587*h**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(847))*-2 + 4)**2 + (-6*(3 + 1 + sqrt(112)))**2.\nAnswer: 976*sqrt(7) + 8012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -672274 >= -1344547\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -478855400*g + 7576631 wrt g?\nAnswer: -478855400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(6\/((-9)\/(-3))). Suppose -75 = -5*x - g + 46, -3*g = -q*x + 69. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -315*o + 6658. What is s(21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.9679 millilitres in litres?\nAnswer: 0.3959679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 352?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 759 - 49. Let b = t - 264. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -102329, -103106, -103885, -104666, -105449, -106234, -107021?\n\"Answer: -k**2 - 774*k - 101554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -95. Let p be (o\/2)\/(-9 - -8). Let r(q) = 8*q + 13. What is the lowest common multiple of r(p) and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, 3\/229514 in decreasing order.\nAnswer: 3, 3\/229514, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8 - (-12)\/8. Suppose -64 - 5 = -3*i + l*z, -4*i + 5*z = -93. Differentiate 4 - i - s**3 - 5*s**3 + 2*s**3 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 3 = 16*s. Solve 2*q = -s*n + 2, 2*n - 2 = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/270440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 840415140 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:59 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 - 2 + 2*u + 2)*(-95 + 146 + 222) as l*u + f + q*u**2 and give q.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*j + 8 = -2*n, 4*n - 36 = -3*j. Let s be n*-1*(-1)\/2. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**6)\/i)\/(i\/i**(1\/14)))**(-50) assuming i is positive.\nAnswer: i**(2425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 1. Let f(d) = -5*d + 4. Let m(n) = 9*n - 7. Suppose -30*w = -37*w - 42. Calculate s*f(q) + w*m(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 + 527\/5. Let z = -67.92 - -68. Let l = 1.08 - z. Put 0, l, -4, h in descending order.\nAnswer: l, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z**3 + 222072*z**2 + 59053876*z + 35352384 = 0. Calculate z.\nAnswer: -10831, -272, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**4)**(-16\/3)*s**(2\/3)\/s**(-2) assuming s is positive.\nAnswer: s**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 11*n**2\/2 + 6*n + 7. Let s(i) = -6*i - 3. Let w(d) = -4*m(d) - 7*s(d). What is the units digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 4830*t**2 + 33981*t - 38808 = 0. Calculate t.\nAnswer: -8, 1, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from xhrrrrhhxhyhyry?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 - 7*l - 1. Let x be 1 + -1 + 1 - (-7 + 0). Let t be c(x). What is the highest common factor of t and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 k when three letters picked without replacement from tkltjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3125*r + 3129*r + 95 = -5*w, 0 = 4*w - 30*r - 588 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155279, -155191, -155103, -155015, -154927?\nAnswer: -154839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 6*l - 3. Let q be a(-5). Suppose -7*r + 8 = -11*r, -5*p + 23 = r. Sort -4, p, q in increasing order.\nAnswer: -4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*z + 16 = -z, 8 = -4*z. Let r = 1 + 2. Factor -4*l + 7*l**2 - 4*l**a - l**2 + 14*l**r + 8*l**2.\nAnswer: 2*l*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/5)*r**(-8))\/(r**22\/r**(-7)) assuming r is positive.\nAnswer: r**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j**4 + 26*j**3 + 18*j**2 - 108143*j?\nAnswer: -72*j**2 + 156*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 168, 132, 12, -234, -648, -1272, -2148, -3318?\n\"Answer: -7*s**3 + 13*s + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-291)\/(-123)*132553\/3233\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 5. Let v = 1747 + -1750. Let p be 4\/a*v + 1 + -1. Solve -2*j + 0*j = -p*t + 8, 5*t - 20 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/42)\/((-2)\/(-7)). Let r = 0.62061 + -0.02061. What is the closest to h in r, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 23 - 1)*(-b**2 + 1 + 1 - b**2) + b**2 - 5*b**2 - 3*b**2 in the form s*b**2 + g*b + u and give s.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, b: 9}. Give prob of sequence ssss.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*i - 235 = 0, 4*s + 3*i - 187 = 6*i. What is the remainder when (-7 - 1)*(63\/(-9) - 10) is divided by s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 2*b**2 - 1952*b - 5*b**2 + b**2.\nAnswer: -2*b**2 - 1952*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**4\/24 + x**3\/6 - 23*x**2. What is v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*y + 5, y - 2*r + 3 = -4. Suppose 15 = 3*s - 0. Let i = s + y. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/((-88)\/64))\/(-2). Find h, given that -1\/3*h**c - h**3 - 1\/3*h - h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:20 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p)*(-35 + 17 - 39 - 35).\nAnswer: 184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55368, -110737, -166106?\nAnswer: -221475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 372, 371, 370?\n\"Answer: -z + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*l - 75*l = 13*l + 9*l + 6109 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(80)*-5)**2.\nAnswer: -320*sqrt(5) + 8016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/920712 and 79\/5807568.\nAnswer: 75498384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*f**2 - 47 + 47.\nAnswer: 249*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (6 + 4 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77.74917 nanoseconds?\nAnswer: 0.0000000012958195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than or equal to 196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -48*p + 230. Determine k(8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*x - 1463 + 882, -4*x = -12. What is the least common multiple of 6 and u?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121321 (base 5) in base 3?\nAnswer: -10102000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 844\/(-14) + (-10)\/(-105)*3. What is the units digit of (-3)\/(-30) - -26*(-1719)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -1.2. Let p = -0.1 - s. Which is greater: p or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 + 46*n**2\/11 - 8*n\/11 - 184\/11.\nAnswer: 2*(n - 2)*(n + 2)*(n + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1447.8 - -1447.5. Let u = 62 - 432\/7. Which is the fourth smallest value? (a) u (b) y (c) -4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/6 + 649*r\/3 + 59020 = 0. What is r?\nAnswer: -908, -390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + (10 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 6*y + 100 = 0, -168758 + 168764 = -3*y for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 331776 greater than or equal to 331777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 3*w + 2, -12*n - 325 = w - 303 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 17*w - 1200 = 0. Let r be w\/(-70) + (-6)\/(-14). Let x be (r - -9)*35\/42. Solve -3*i + 9 = 0, 3*i = 2*a + 4 + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011100000100010101011 (base 2) in base 8?\nAnswer: -43404253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40486704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6810592 and 79\/87?\nAnswer: 20431776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5564 to the nearest 100.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g - 17*g**2 - 12*g**3 + 3*g**4 - 2 + 26*g**2 - 10.\nAnswer: 3*(g - 2)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r - 7 - 152*r + 3*r**3 + 73*r.\nAnswer: 3*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {y: 1, j: 1, x: 2, m: 2, w: 5, g: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = w - m, 130*w - 127*w + 5*m - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 180*l + 123. What is the tens digit of s(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102326 and 16?\nAnswer: 818608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 5*s - 10. Suppose 0 = -3*y + 4*y - 6. Let o be t(y). Let c = o + -54. What is the remainder when c is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12239?\nAnswer: 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10338 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1141, 151, -839, -1829, -2819, -3809?\n\"Answer: -990*t + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 98*b**2 - 2202*b + 94. Determine y(-35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2458, 4923, 7440, 10027, 12702, 15483, 18388, 21435?\n\"Answer: 3*n**3 + 8*n**2 + 2420*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 7. Let v be p(-1). Let q be -1 + -1 - -7*(v + -2). What is the second derivative of j - j**q + 13*j**5 + j + 6*j**5 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24937 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: Calculate the remainder when 135379 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -35*b**2 + 4490*b - 82115. Let a(c) = 3*c**2 - 374*c + 6843. Let t = -48 + 50. Let g(o) = t*i(o) + 25*a(o). Determine j, given that g(j) = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 652 - 439. Suppose 214 + y = 3*x - 4*c, -149 = -x - 2*c. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwsbwpppwzpzsp. What is prob of sequence zpwz?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 442926 and 442926.\nAnswer: 442926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15*j*j**(-2\/5))\/((j*j**14)\/j**(-3\/4)) assuming j is positive.\nAnswer: j**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = 0, 9 = -5*g - 5*u + u. Let k(v) = -v**2 - 7*v + 15. Calculate the remainder when 47 is divided by k(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10181 + 51283\/5. Let c = -76 + a. Let w be (42\/(-22))\/(-1) + -2. What is the closest to c in w, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-3)\/(57\/(-38)). Let v(t) be the first derivative of -b - 5\/8*t**2 + 1\/2*t - 7\/12*t**3. Let v(k) = 0. What is k?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25c (base 13) to base 12\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*a - a. Suppose -17 = -a*c + 3*p, 0*c + 31 = 4*c - 5*p. Suppose -2*r + c*f + 25 = 5, f = 4*r - 33. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (21 - 1) + -1. Let x(t) = -t - 5. Let d(w) = -3*w - 11. Let k(h) = 2*d(h) - 5*x(h). Let g(n) = -12 + 4*n + n - 1. Calculate q*k(s) + 4*g(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 382752 and 93916.\nAnswer: 20285856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 - 0.08. Let f = -1 + 2. Let o = f - 1.5. What is the nearest to -2\/7 in o, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2. Let q(z) be the first derivative of 10*z**3\/3 + 22. Give q(u(h)).\nAnswer: 90*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -j + 6*o - 26, 5*j - 5*o = 150 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)\/z)\/z**(-3\/8)*z**(2\/5)\/(z\/(z*z**(-2\/9))*z))\/((z*(z*z*z**(4\/7))\/z)\/z**(-7))**(-6\/13) assuming z is positive.\nAnswer: z**(86389\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006199 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1188, -2373, -3548, -4707, -5844?\n\"Answer: x**3 - x**2 - 1189*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*a + 19*a**2 + 30*a + 3*a**2 + (1 + a - 1)*(-2*a + a + 2*a).\nAnswer: 23*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/35*(-110)\/(-45474)*13\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4963035 divided by -385?\nAnswer: 12891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53925088*z**3 - 12914832*z**2 + 1031016*z - 27436.\nAnswer: 4*(238*z - 19)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 8b91?\nAnswer: -8b8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26891930 a multiple of 2690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*-1*(3*9\/(-27))\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652632 (base 7) to base 13.\nAnswer: -3ca89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300202 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -6\/5, 0.05, -1\/7, 1, -80?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**13*v))*v**12)\/(v\/(v\/((v**3\/v*v)\/v)))**(-26) assuming v is positive.\nAnswer: v**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4437.302nm?\nAnswer: 0.004437302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -22*i + 9. Give s(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 + 6*k - 1. Let h be 2\/(8\/2)*5*2. Let d be t(h). Find g, given that 0 - 9\/4*g**3 - 3\/4*g**d + 0*g**2 + 3*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:58 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94382851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**5 + 2*h + 0*h**2 + 0 - 23\/6*h**4 + 0*h**6 + 0*h**3 - 8\/7*h**7. Find the third derivative of r(b) wrt b.\nAnswer: -2880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 4*r + 11, -4*r + 24 = 4*m. Solve -2*n + 3*l = -7, -8*l + 3*l + 15 = m*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhqmqjzqzqznhhmhnhh. Give prob of picking 1 m, 1 z, and 1 n.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:24 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + 0.1. Let z = 11 + -12. Let j = 0.18 + -0.08. What is the nearest to j in r, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 27 = 16 + 13 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(48) - sqrt(468))**2.\nAnswer: 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167614900 rounded to the nearest 100000?\nAnswer: 167600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9215162mm in nanometers?\nAnswer: 921516.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2586780266 - 2586780266 - 50*r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 12, 19, 2, -57, -176?\n\"Answer: -3*l**3 + 15*l**2 - 11*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1674 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -15, 3*m - 4*d - 2 - 1 = 0. Suppose -2*z + 2 = m*v, -4*v + 5*z + 10 = -9*v. What is the smallest common multiple of 2\/(-7) - v\/(-7) - -26 and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3037 >= -15184\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3228\/5 + 648. Is 11 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2da4 (base 16) to base 3\nAnswer: -121000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435562637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 2*o - 3, 5*l = -4*o - 3. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**9\/30240 - h**8\/20160 - h**5\/20 - h**2. Let c(a) be the third derivative of k(a). Find the third derivative of c(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 4*k**4 - k**2 + (-k**3 - 2*k**3 + k**3)*(-4*k + k + 4*k).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7517122.\nAnswer: 2, 19, 337, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, l: 5}. What is prob of picking 1 b and 3 l?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.03 (b) 0.4 (c) 0.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8 = 7*b - 6*b, i - 18 = 4*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*20\/12*-15. Suppose -i - 4*z = 3*i - 144, -3*z + k = 2*i. Suppose 7*s - 8*s - 3*y = 0, -3*y + 3 = 2*s. What is the highest common factor of i and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 55. Let r = i - 9. Solve -r = -2*n - 3*n + 2*x, -12 = -2*n + 2*x for n.\nAnswer: 5","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 - a**2\/2 + 268*a - 4. Let h(j) = -8*j**2 + 2*j + 5. Determine -6*c(q) - h(q).\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z - 6. Let n = -23 + 27. Suppose 0 = 2*d + 3*j + 26, -15 + 3 = 4*d - n*j. Let c be 0*3\/(d - -4). Calculate x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -202894, -1\/3, 1, -0.67, 0.4?\nAnswer: -202894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504 + 631*o - 502 - 2*o + 774*o - 198*o.\nAnswer: 1205*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5674154 and -897530.\nAnswer: -897531.5674154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 3 + 2 - 6 + r**3 + 35*r**4 as u*r**3 + i*r**2 + x*r + h + m*r**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a1305 - -42?\nAnswer: 17a1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558600 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 70614.25g?\nAnswer: 70614250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by -2 - (4 + -1) - -6 - -24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-3)\/(-24)*4. Calculate the lowest common multiple of (f + (-96)\/(-28))*7 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w**3 + w**2 + 2*w + 1. Let n be ((-2)\/(-4))\/(1\/36). Suppose -2 = -4*l + 2*y, 3*l + 5*y + n = -0*y. Give k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.5 + -21. Which is the nearest to v? (a) 3\/7 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 4. Suppose 0 = -3*j - 9, -15 = -4*x + 8*x + j. Give w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -19*k + 29*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -279*a**4 - 3067*a**3 + 18157*a**2 + 20795*a - 150 = 0.\nAnswer: -15, -1, 2\/279, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -50*i + 1. Let v = 0 - -4. Suppose a + 5*b - 21 = 2*a, 2*b - v = -4*a. Is 16 a factor of s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/4 + 9*a**2\/2 - 33*a\/4 + 4 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1117 = -3*n, -y = -3*n + 5*n - 226. Let m = y - 124. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(4\/19)*b*b**(19\/5)*b assuming b is positive.\nAnswer: b**(666\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 35. What is the second derivative of -25*y + 5*y + z*y**4 + 737*y**3 - 737*y**3 wrt y?\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8 = -3*x, 77845*x - 77844*x = 6*o + 24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 123, 181, 237, 291, 343, 393?\n\"Answer: -d**2 + 63*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1177 greater than -1179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*1\/(-6))\/(-2)*-26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 3 + 3 - 6*f - 19*f. Let r(g) = 5*g**2 - 5*g**2 + 2*g**2. What is u(r(i))?\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 20*q + 23 = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 51 = -5*j. Let l = -107 - -81. Let t = l + j. Is -12 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 5*y + 2. Let z = -4 - -8. Calculate the remainder when 17 is divided by v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-63)*10\/75*(-70)\/(-12).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 less than 1316.086?\nAnswer: 1536.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/6 - 4\/(-8). Suppose -5*g + 2 = i. Let l = 0.9 - -2.1. Which is the closest to g? (a) -1\/2 (b) l (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = 0, -3*d - 2*z + 6 = -31. Let h be 20\/d*6\/4. Suppose -3*i + 19 = 5*s, 0 = 4*i - h*s - 0*s - 34. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2)\/2 + 0. Suppose 0 = -n + 5*n - 176. Suppose 4*k - n = -z*k. What is the highest common divisor of 99 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (2 + 5 + -3 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22271131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*o - 2 = -k, 4*k - 5*o - 13 = 0. Let p(t) = t**3 + 3*t**2 - 3*t + t + 2*t**3 - k*t**3. Determine p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -7*b**2\/2 + 8. Let v(a) be the third derivative of -a**4\/12 - a**2. Give d(v(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.017 + -53. Let n = -0.017 + a. What is the smallest value in -4, -2, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*10\/25*1512\/(-3696).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4 and 11\/942.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26644106 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -777 + 801. What is the remainder when 2 - 0 - 3 - 13*-35 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1753*z - 61429 - 10427 = 154*z - 397*z for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344847.44 rounded to the nearest 1000?\nAnswer: 345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.07 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 21, -2, 74, 2, 1 in descending order.\nAnswer: 74, 21, 4, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56461546 (base 7) to base 15.\nAnswer: 66d8ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m**3 + 24*m**3 - 46*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-7)*(-5166)\/492)\/(9\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16893 - 9373. Does 40 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1. Let k = 0.5 - p. Put k, -2\/11, -0.2 in increasing order.\nAnswer: -0.2, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1430\/(-117) - -4) + 8.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522928 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/20 - s**4\/6 + s**3\/2 - s**2 - 2*s. Let m be i(4). Let o = m + 120. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*b + 28928 = 0, 0*g + 3*b = -g + 5788. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.83 - -2.17. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 11 = 22*l. Suppose 15*b - 107419 = l*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 - -2.1. Let z = -2.26 - b. What is z rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/68 - 18\/17. Let y be ((-2)\/(-24))\/(41\/369). Factor 0 - 3\/4*k**2 - m*k - 1\/4*k**4 - y*k**3.\nAnswer: -k*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6 - 7*l - 26 - 24 to a*l + h and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4311*q**3 - 2*q + 2072*q**3 + 351090*q**2 - 7878*q**3 - 351089*q**2 to y*q**3 + i*q + r + h*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*w + 2*w - 2*w)*(2 + 1 - 5) + 1 - 1 - w)*(0 + 0 + 7*w**3)*(4*w - 2*w - 4*w).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + 3*h - 144, -j - 4*h + 62 = 0. Suppose 2*c + 11*c - j = 0. Solve -5*b - 3*w + c*w + 8 = 0, -6 = -3*b + 3*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (-2 + sqrt(684) - sqrt(684)) - ((0 + sqrt(684))**2 + -3)).\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/18 + -4 + (-17)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -257*8\/(-6608) - 2\/7. Let s = x - -5643\/826. Factor -8\/7*w**2 + s*w + 36\/7 + 4\/7*w**4 - 16\/7*w**3.\nAnswer: 4*(w - 3)**2*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 45*i + 15. Determine z(20).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*6*2\/(-90).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*c + 5*c + 5916. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/4 + -1)*-1. Suppose k*r + 3*r - 6 = 0. Suppose 0 = -4*g, -g = c + r*g - 14. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/s)**(-32) assuming s is positive.\nAnswer: s**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12740 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 4. Suppose 0*p + x*p - 24 = 0. Calculate the remainder when 4\/(-10) + (-141)\/(-15) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001110110 (base 2) in base 15?\nAnswer: 1a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -320? (a) 1 (b) -1\/3 (c) 583 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d - 88*d + 45*d. Let n(p) = -3365*p**2 - 1 + 3373*p**2 + 1. Give z(n(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**3*o**3*s + 4*k**3*o**2*s**2 - k**3*o**2*s + 12*k**2*o**2*s**2 - 37790*k*o*s + 39971*o**3*s**2 wrt o?\nAnswer: -18*k**3*s + 239826*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11146 (base 7) to base 16.\nAnswer: b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4268 at most -12808\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/19))\/b**(-6))\/(b**0)**14*(((b**6*b)\/b)\/(b\/b**(-1\/8)))\/(b**(-1\/3))**46 assuming b is positive.\nAnswer: b**(12359\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + 218\/(-627). Let t = 696 - 7657\/11. Let j = t + f. Sort -0.02, j, -0.1 in descending order.\nAnswer: -0.02, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 - -495. 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: What is the next term in -398476, -796947, -1195418, -1593889?\nAnswer: -1992360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 2*r + 6. Let u be s(-4). Let o be (-10)\/8*30\/u. Which is the second smallest value? (a) -0.4 (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2352766 - 3444*v**2 - 2352766.\nAnswer: -3444*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 190124?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2820*j**3 + j**2 + 2*j - 4. Is f(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**3 + 780*y**2 - 1575*y + 790 = 0.\nAnswer: -158, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/12*q**4 + 0*q**2 + 4*q + 0 + 0*q**3. Let g(v) be the first derivative of -v**2 - 2. Give g(w(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q - 5. Let o be a(-5). Let u = 2815\/2 + -45109\/32. Calculate the common denominator of o\/18 + 6\/4 and u.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(((0 + sqrt(208))*3 + 0)*2 + -5) + 2))**2.\nAnswer: -201600*sqrt(13) + 6758800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -561*l - 19584. Does 13 divide s(-94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b2 (base 12) to base 5\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 12:29 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1162842 and -97\/4337472?\nAnswer: 707007936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - -0.11. Let p = 51.1 + -55.81. Let l = p + -0.29. Which is the second smallest value? (a) 2\/3 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j. Let k(b) = b**2 + 12*b - 2. Let w(z) = -2*h(z) + k(z). What is the units digit of w(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20\/11, 0.2, -1 in decreasing order.\nAnswer: 5, 20\/11, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45758 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19654 - -19654. What is the biggest value in -0.08, 5, d, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50010000 rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - 0.4. Let g = c - -6. What is the third biggest value in -0.3, g, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*u**2 + 3\/2*u + 1.\nAnswer: (u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*i - 1520*i + 306*i - i**3 - 703 wrt i?\nAnswer: -3*i**2 - 1141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let z be (-3)\/i + 771\/2. Calculate the highest common divisor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 5*c = -4*d + 11265, -c = 3. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4448 or -4899?\nAnswer: -4448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 2, -1, -2, 0.07, 5, -246 in descending order.\nAnswer: 5, 2, 0.25, 0.07, -1, -2, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d613 + -2?\nAnswer: -d615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-17) - ((-1135)\/255 - -5). Let o = 0.132 + -0.132. What is the nearest to o in 0.3, d, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21730742 is divided by 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1170 + 1175. Put 2, r, 186 in descending order.\nAnswer: 186, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 27, 2\/5, 1\/5, 1\/6, 32?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnznnnznnnznn. What is prob of sequence nzzz?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/36 and -127\/2664.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113116198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 20 = -v, 3*v = 4*r - 649 + 622 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193116 by -84.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3\/6 - 4*y + 1. Let w(u) = -428*u**2. Calculate h(w(f)).\nAnswer: 428*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72422 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2988201 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -258216 divided by 1113?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (-12 + (19 - -8) + -20 - 15)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315368 - 213548. Round a to the nearest one thousand.\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 0.384 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 153. What is the tens digit of v\/(-75)*60\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - -12010212101?\nAnswer: 12010220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -36*b**3 + 17*b**2 + 8. Let j(y) = 24*y**3 - 11*y**2 - 5. Let m(s) = -8*j(s) - 5*o(s). What is the third derivative of m(c) wrt c?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -158, -149, -140?\n\"Answer: 9*p - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032122120 - -3210?\nAnswer: -1032112310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 26 = 5*d + 3*z, 0 = d - 2*z + 2. Suppose d*n = -28 + 40. Solve i = -3*s + 1, -4*i + 2 + n = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-52 + 14 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -3\/11 (c) 25 (d) 0.4 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/2 - -5) + -12. Let r be (-2 - -2)*(-4)\/k. Solve -4*x = 4*l, 4*l + r*l - 5*x - 45 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 2*r**2 + r - 1. Let q = 2 - 6. Let t be q\/1 + -2 + 4. Calculate v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-70))\/(-1))\/(4\/84) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*c = 240*c + 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2) - (13 - 15). Suppose b = -v + 5, -2*v + 6 = 2. Suppose -4*x - 32 + 3 = b*d, h = -d + 2*x + 7. Which is smaller: d or -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 22. Let o(x) = -3*x - 3. Let t be o(h). Suppose t*k - 11 = 5*k. Solve 2*c + 3 = 2*g - 7, g - 3*c - k = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2029945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2. Let o(i) = 121*i**2. Determine o(s(k)).\nAnswer: 1936*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:13 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let w be (-1239)\/(-472) + (18\/16)\/3. Is 26 a factor of f - (w - (124 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -30 - (44 - 54)) + 6 + -16.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 19. Let v be b(-7). Let y(f) = -f**3 + 7*f**2 + 13*f + 3. Is y(v) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-38)\/(-228))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -669078000*m**4 + 89327777*m - 4 wrt m.\nAnswer: -8028936000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6461751.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*d - 52*d + 423 = 5*d. What is j in 2\/9*j**5 - 104\/9*j - 2\/3*j**d - 8\/9*j**4 + 68\/9*j**2 + 16\/3 = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-9))\/(4\/(-210)). Suppose 5*a + 3*o - m = 0, -5*o + 36 = a - 0. Suppose -4*y = 4*d - y - a, -5*d + 16 = 3*y. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 19 = -2*h, -54*h + 49*h - 7 = -d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 16. Let c(u) = -2*u + 15. Determine -4*c(y) + 3*i(y).\nAnswer: -y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -208. Calculate the remainder when u is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/1260 - m**6\/240 - m**4\/8 + 4*m**2. Let r(w) be the second derivative of g(w). Find the second derivative of r(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 8 + -3 - 1) + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 6041694066 and 5.\nAnswer: 6041694071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 52157.73ug?\nAnswer: 0.05215773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 91, -1\/7, -1\/3, -1\/2, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 + 3. Suppose 5*f - 3*t = 0, -139*f + 137*f - 26 = 4*t. Let z(b) = 20*b**3 + 10. Determine f*z(c) + 10*y(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706492 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -4 + 44\/7. Let o = 0.5 - -28.5. Let k = 28 - o. What is the closest to -2\/3 in j, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 12*i - 42, -5*i + 106 = 4*c - i + 2 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 158889.929 times 2\nAnswer: 317779.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 21*t + 45 = 0. Let u = 9 + t. Solve 0 = o - u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14815, 0.91, -3\/8, -1?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82 + (3 - 7) + -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -198, -317, -368, -345, -242?\n\"Answer: u**3 + 28*u**2 - 210*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -115. What is the hundreds digit of -4 + 10\/p*69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 152*a - 1044.\nAnswer: -4*(a + 9)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2892 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/5*(-285)\/6. Let i = p - -43. Solve -3*k = q - 5, -4*q + 7*q = i*k - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*y + 7 = -25, -3*q - 3*y = -60. Let r be ((-146)\/(-9) - 4\/18) + -1. Let m = 21 + r. Calculate the greatest common divisor of m and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1117, 2\/13, -1143.\nAnswer: -1143, -1117, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (4 - (2 + -5 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*u + 33, 20354*j = 20347*j - 84 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = -2*s, -h = -5*s - 75 + 58. Solve 19*w + 16 = -h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.818 rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0. Let a = 1 - 24.5. Let u = 24 + a. What is the second smallest value in u, 2, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 17323 = -284*v, -4*l + 84*v = 86*v + 126 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**5\/7 - 225*z**4\/7 - 1131*z**3\/7 - 675*z**2\/7 + 243*z\/7 = 0.\nAnswer: -9, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 13.8149292.\nAnswer: 4.14447876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 7:53 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.84357548 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343030012 - 1343?\nAnswer: -1343031410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 35. Suppose 15 = 5*v + 5*h, -4*v - h + 13 = 4*h. Let p(n) = -3*n + 1. Let f be p(v). What is the smallest value in 2\/3, z, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/4 + 11*k**3\/2 + 6*k**2 - 11*k\/2 - 23\/4 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + 5*(-20)\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042599859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*t - 17, 444*o + 330*t = 440*o + 632 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) -23.8 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b + 20. Suppose -2*m = -2*h - 106, -2*h + 77 = -3*h - 5*m. Let l = -5659 - -5605. Let r = l - h. Let d(y) = 2*y + 4. Determine r*c(j) - 14*d(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -101385?\nAnswer: -101380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w**(-9)*w**(8\/5)*w\/(w*w**(-14)\/w)*w*w assuming w is positive.\nAnswer: w**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.25 - 29.23809. Round v to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-3)\/(2\/(2\/1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.790519 and -24.\nAnswer: -24.790519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -1 - 7\/((-21)\/(-66)). Calculate the common denominator of 71\/12 and 1 + (-7)\/4 + y\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 26*r = 7179666 - 2477573. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6256 is divided by 2071?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, f: 1, t: 1, n: 7, a: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 2*k - 2*r = 2*r - 4. Let i(s) be the second derivative of -s**5\/10 - s**4\/3 - s**3\/3 + s**2 + 5*s + 8. Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5431\/(19 + 0 + (-10)\/(-10)). Let f = -1043\/4 + k. Find u, given that -12\/5*u**3 - 1\/5*u**4 - f*u**2 - 81\/5 - 108\/5*u = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2) + (-6 - (1 - 14)). Suppose -o = 428 - 2717. Suppose -o + 903 = -l*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 745470 or -0.1?\nAnswer: 745470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 12*u - 10. Find the second derivative of -3*t**2 + 3*t**u + 18*t**5 - 15*t + 8*t**5 wrt t.\nAnswer: 520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 34*x**3 - 3*x**2 - 2. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.794, -353, -2, 1, -2\/43 in descending order.\nAnswer: 5.794, 1, -2\/43, -2, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -535476311*g**3 - g**2 + 87*g + 66451.\nAnswer: -3212857866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)*v*v**(2\/13)*v**8\/v*v\/v**(1\/3) assuming v is positive.\nAnswer: v**(32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16076 (base 9) to base 5.\nAnswer: 323004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v - v - 21*v + (-5*v + v + 2*v)*(4 - 4 - 1))*(-5 + 0 + 2) - v + 4*v + 2*v to y*v + p and give y.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -651471.48?\nAnswer: -195441.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051634 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9001557 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6. Let h be (5\/(-15))\/(u\/12). What is the third derivative of 3*b**4 - 2*b**4 - b**4 + 4*b**2 + h*b**4 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 1, y: 2}. What is prob of sequence vy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u - 50. Suppose 5*l - 4*l = u. Suppose g - l = -g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77321.508 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 2*n**2 + 3*n - 3. Give q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p**3 + 65*p**2 + 300*p = 0. Calculate p.\nAnswer: -15\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*l*o**3 - 1954*l*o - 11*o**3 - 6570*o**2 wrt l.\nAnswer: -8*o**3 - 1954*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -188. Suppose 5*c - 55 = o. Solve -4*u + 5*y = -c, 3*y + 3 - 1 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y - 3*y + y to u*y + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 6)\/(3\/2). Suppose 3*s - 16 = q, -2*q - m = -2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.654 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xic when three letters picked without replacement from {c: 1, w: 3, m: 6, h: 1, x: 5, i: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 - 752 = -794*g + 870*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyekkeyvyeyeykeeyevy. Give prob of picking 1 e and 1 v.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11827.51 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367775850 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16334 + 14010*a + 16334 as k*a + d and give k.\nAnswer: 14010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*u**2*z + 1535883*u**2 + 4*u*z - 2916*z**2 wrt z?\nAnswer: 9*u**2 + 4*u - 5832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121744 is divided by 121740.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216187 = -8*y + 335469. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) -0.15018 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = 10. Suppose p + 2*l - 12 = 4*l, 0 = -o*l - 8. Solve -11 - p = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 1, x: 1, o: 3}. Give prob of picking 2 r, 1 g, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 13.285 (c) 56.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -808, 6158, 13124?\nAnswer: 20090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-35)\/14) + 210\/4. Solve -4*m + 46 - t = -3*d, 0 = -3*d - 4*m + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*q + q - 30, -5*m + 44 = -q. Suppose -m*s + 5*s - 5984 = 0. Let w = s + -1704. Round w to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -416. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/9, 220, -0.5, -84 in descending order.\nAnswer: 220, 1\/9, 0.1, -0.5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 3 + 2*f**2 + 2 - 4*f**2 - f**3 - 3. What is the lowest common multiple of b(-3) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56\/(-6) + -3)*-3. Let b = -32 + x. Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrxrrxrrrxrxxxrx.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -2\/11, 98634, 1, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/3)*i)\/i*i)\/(((i*i**(-6\/7))\/i*i)\/i))**(-6\/13)\/((i\/(i*i**(-1\/3)))**(2\/5))**31 assuming i is positive.\nAnswer: i**(-6602\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/24667? (a) 1\/6 (b) 0 (c) -0.4 (d) -3 (e) -2\/7 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 + 18 = -4*l, -5*j - 5*l - 15 = 0. Let r be (-2 + 3)\/(9\/18). Suppose -5*w + r*n + 2*n + 76 = j, 4*w - 68 = 5*n. Solve -w = x + 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -32 (b) 1\/3 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 11*l - 30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 5*i)*(9*i**3 + 0*i**3 - 4*i**3) - 2*i**3 + i**2 + 2*i**4 - 5*i**2 + 3*i**2 + (4 + 0 + 3)*(-10*i**4 - 18*i**4 + 7*i**4).\nAnswer: -150*i**4 - 2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 229 - 48)*(-3*a - 5 + 5)*(-a**3 - a**3 + a**3).\nAnswer: 582*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from nnvvvnnnnvnnnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 232385 = 20*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 3*k**2 - 4*k**2 + (-3*k - 3*k + 4*k)*(1 - 2*k - 1))*(32*k + 41*k - 28*k).\nAnswer: 270*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263613 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -119. Find h, given that 118*h**2 - 4*h**4 - 32*h**3 + 49*h**2 - 40*h - 210*h**i + 119*h**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1079 and 23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 7*y**4\/2 + y**3\/6 - 2*y**2 - 79*y. Let a be c(-3). What is a rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2 + (-5 + 3 + 3)*(-1 + 1 + 5))*(-2*x + 5 - 5)*(3*x + x - 2*x)*(-7*x + 9 - 9).\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001993 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188*n - n**3 + 188*n - 4*n**2 - 3*n**3.\nAnswer: -4*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*h + 2*n + 204, 0 = 5*n + 10. Let m = h + 46. Calculate the highest common divisor of 58 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1165*p - 35991. Determine z(-31).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641208.\nAnswer: 2, 3, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*c = -525, 2*q - c - 228 = 3*c. Let m = -69 + q. Let r = m - 37. Is 12\/13 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1253 = -4*o + f - 4*f, 3*o = -5*f + 926. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129381 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-14 - 0) - (10 - -1 - 17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1277, 1, -2, 2, -1, 4 in descending order.\nAnswer: 1277, 4, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6902 + -27611\/4. Which is the closest to -0.6? (a) p (b) 0.04 (c) -0.22 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349249, -3, 3, 0.03 in decreasing order.\nAnswer: 349249, 3, 0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 13*q. Let p(y) = -2*y**2 + 23. Give h(p(d)).\nAnswer: -26*d**2 + 299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (135\/(-42))\/45*1\/4 and 73\/1428?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 377*i - 142. Let h(c) = -943*c + 340. Determine 5*h(y) + 12*p(y).\nAnswer: -191*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3981942 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*-1 + sqrt(209))\/(sqrt(396)*-1) - 5*(sqrt(57)\/sqrt(3) + -5 - (sqrt(171) + -1))**2.\nAnswer: -460 - 241*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - 3 - -17 - (-9 - -14))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by -1\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - 58 + 226. Calculate the remainder when 223 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**10\/w)\/w))\/(w\/(w*w**(-2\/15))) assuming w is positive.\nAnswer: w**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 67?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 3081 + 3081.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000358613 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846053154?\nAnswer: 2, 3, 241, 65011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + d**2 + 8*d + 2. Let x(y) = 2*y**3 + 2*y**2 + 8*y + 2. Let q(c) = 7*v(c) - 6*x(c). Let s be q(-5). Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - (-315)\/(-49)) + (-9)\/(-21). Solve s - 5*y + 4 = 0, -s - 3*y - 4 + w = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129199 or 129200?\nAnswer: 129200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x + 20*x - 38895 = -237415. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 27*z**2 + 80*z + 62. Let t be o(6). Let j(w) = -5*w - 8. Let h(b) = b - 1. Let a(v) = 6*h(v) - j(v). What is a(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -920 + 1670. Let l be (-7)\/(63\/t)*-3600. Round l to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017\/17 + (-40)\/680 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5443*u**3*y - 4*u**2*y - 74*u*y - 93551452*y wrt u.\nAnswer: 16329*u**2*y - 8*u*y - 74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w + 3*w)*(74 - 60*w**3 - 74) to n*w + i + p*w**2 + t*w**3 + m*w**4 and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44066 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: Solve 3*m = 11*c + 5, -33448*m - 1 = -33450*m + 5*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 13460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1374, 3068, 4762, 6456?\n\"Answer: 1694*q - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 19*b**2 + 465*b - 3382. Give u(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -31, -23, -13, -1, 13, 29?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2)*d)\/(d*d**(4\/7)\/d*d))**(20\/7)\/((((d\/d**(-7))\/d)\/(d**(2\/13)\/d))\/(d*(d**(3\/5)*d)\/d*d**7*d)) assuming d is positive.\nAnswer: d**(386\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/8 - 0)*-1 + (275008 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-49))\/1*3\/((-54)\/(-126))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -119. Suppose -14*p + 13*p + z = 0. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3 - 15*t**2 + t**3 + 2*t**3 + t**3 - 3*t**3 + 2*t. What is the tens digit of x(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 times -0.348?\nAnswer: -4.6284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 976398837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-25)*10\/4. Sort y, 0, -1.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 18. Let s be (24\/36)\/(2\/9). Suppose -s*f + p = -f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022498 rounded to 7 dps?\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 + 200 = -2*f, 328 = 3*o - 5*f. Calculate the remainder when o is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10)*(-5 + -5). Let l(n) = -n - 1. Let p be l(-3). Suppose -p*m + v = -45, -28 - 41 = -x*m - 5*v. Calculate the remainder when 40 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = r - 13, r + 2*r = 4*q + 29. Let h(p) = 2 + 4*p**2 + 4 - 2*p - 4 - r. Give h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 10*c**2 - 9*c - 2. Let h be i(9). Let v be 1\/(-1) + (-6)\/h + 0. Solve v*n - 3*n = -p + 5, -2*n = -5*p + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720)*5 + -1 + -5*(2 + sqrt(720))*-5)**2.\nAnswer: 35280*sqrt(5) + 650401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 198. Suppose 0 = 4*o - 9*o - p + l, 0 = -2*o - 3*p + 19. Differentiate -3*u**3 - 2*u**3 + 2*u**3 - o + 2 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*n + 204 - 636 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7161 is divided by 2362?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)\/((-10)\/(-10)). Suppose 2*h - 9 = -4*m - 3, -2*m + y = 3*h. Let w(j) = -6*j**2 - 3*j**2 + 10*j**m. Let k(v) = 2*v. Give k(w(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1052 - -1435?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801709399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 27. Let o = -1.1 - -0.1. Let a = 65 - 62. What is the third biggest value in a, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 161 = -38*d. Solve 2*x + n + d = 7*x, -3*x - 3 = 3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j = 86*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 divided by 38?\nAnswer: 86\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -900733*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + (2 - -5) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 5. Let v(x) = 6 - a*x + 2*x + 2. Give v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/35)*c**11)**(1\/15)*(c**(1\/2)\/c*c**(-6))\/(c*c**7*c*c**4) assuming c is positive.\nAnswer: c**(-6567\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q + 9*q + 57*q**2 - 15*q + 2*q - 1 + 0 to j + c*q + z*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 51*a + 34*a = 1833 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387093320?\nAnswer: 2, 5, 401, 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2048566 and 2.4?\nAnswer: 2048568.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33772 is divided by 786?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3*h + 0*h)*((-4 + 4 - 3*h)*(-3*h**3 + 2*h**3 - h**3) + 2*h**4 - 6*h**4 + h**4).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93715 and 5?\nAnswer: 93710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 2*o**3 - 61 - 950*o**2 - 62 + 134 + 950*o**2.\nAnswer: -2*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/36 + 11*a**3\/18 + 2*a**2 - 96*a. Factor v(x).\nAnswer: -(x - 12)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f - 18 = 0. Let q(s) = 2*s + 22. Let x be q(f). Let y = -36 - -71. Solve -5*p = v - y + 11, -x*v - 14 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -790819, 0, -7, 5.\nAnswer: -790819, -7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 6*g - 5. Let n(w) = 6*w - 57. Let b(m) = m - 2. Let y(k) = 3*b(k) - n(k). Suppose 3*f - 63 = -6. Let s be y(f). What is o(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -174 + 333082?\nAnswer: 332d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h + 1. Let i be 2 - 1 - 5\/1. Let r be c(i). Suppose 0 = k + 2 - r. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21090 and 38961555?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**4 + 0 - 1 - 23*x**2 + 18*x**2 + 10*x**3 - 9*x**3 - x in the form y*x**4 + j*x**2 + v*x**3 + c + z*x and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 - 10*k - 17. Let y be x(-7). Suppose 278 = y*h - 38. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 - -0.4. Let z = -4.97 - g. Let f = z + 0. Which is smaller: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 533.1 + -533. Let z be (6\/(-8))\/(1\/4). What is the third smallest value in 0.06, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 6. Let y(z) = z**2 - 7*z + 4. Let j be y(6). Let b be (-3)\/((-6)\/4)*j. What is f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hndphmmphhpc. What is prob of picking 1 d and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + i**2 + 2*i + 75*i**3 - 3 - 72*i**3 - 2*i**4 as u*i**2 + r*i**4 + a + s*i**3 + f*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/584 and 71\/5858648.\nAnswer: 427681304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (3 + -2 + 2)) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-120)*(-4)\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/15 - 1\/3. Let m(b) = b**3 + 16*b**2 - 18*b - 16. Let t be m(-17). Let q be (32\/(-20))\/(t - 7\/5). What is the third smallest value in q, k, -1.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + y - 4 + (-2 + 51 + 16)*(1 - 1 + 2*y) - 55 + 55 - 18*y.\nAnswer: 113*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26635 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1722 + -816. What are the prime factors of m?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. What is the nearest to i in 4, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 + 2 + 0. Suppose -f = 3, -r*l + 2*f = -0*f - 12. Suppose l*i - 4*i = -b, b = 4*i - 3. Let q(w) = -2*w. Give q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4*3\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 650871.7 seconds?\nAnswer: 650871700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18050453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 120, -3, -12 in decreasing order.\nAnswer: 120, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/65724 and 13\/21908.\nAnswer: 65724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 10*v - 14. Let p be g(8). Suppose -3*n - p*m = -100, -n - 2*n + 4*m + 88 = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**2 - 1\/60*c**5 + 0*c - 1\/8*c**4 + 1\/6*c**3 + 1\/120*c**6 + 0. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77136.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5556507.1 to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 19206.\nAnswer: -35\/9603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 278029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/40 and -63\/736.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1374, 1448, 1522, 1596, 1670, 1744?\n\"Answer: 74*l + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19030 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 - 8*l - 4. Let g be h(5). Let m = g - -79. Is ((-41016)\/36)\/(2\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from xxxxbwbxwxxxwxsbxwws.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 3. Let o(a) = a**2 - a - 28. Does 6 divide o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -199469220.\nAnswer: -199469219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 384469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = -21*q + 6*q + 38988. What is the highest common factor of q and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2. Let h(j) = -11*j + 6. Let l(n) = 12*n - 7. Let f(p) = 7*h(p) + 6*l(p). Let y(t) = -2*t. Let k(m) = 4*f(m) - 11*y(m). Determine a(k(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 6*f + 10. Suppose -4*n = 3*v + 14, -7*v - 5*n + 17 = -9*v. Let x(i) = i**2 + i + 1. Calculate v*x(b) + d(b).\nAnswer: -2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.13 at least as big as 28309\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14. Let k be (1 - (-29)\/3)*(-3)\/(-2). Solve 0 = -5*c + 9 + 11, -4*s + 2*c - k = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Suppose 1 = 5*v - 4*v - h, h = -d*v + 17. Let m be 10 - 9 - v\/(-1). Solve w - m = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322 - -221?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyyqyyayjyqayajyjyq. What is prob of sequence ya?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75820 and 316200.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 0*q + 10 + 2. Let r be p(-11). Suppose x = -2*x + r. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 1 - 10*q + 5 + 3. Suppose 4*n - 6*n - 14 = 0. Is 6 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4441 (base 14) to base 11\nAnswer: 8973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1354 = -3*j, -31*j + 36*j = 5*c - 2260. Which is bigger: j or -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*g + 28678, -2*g = 18*u - 21*u + 43022. What are the prime factors of u?\nAnswer: 2, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/28)\/(12\/(-10)))\/(114\/(-152)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5007 - -5008. Let q = -3 + 5. Solve -y = w + q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60 - -35) + 7)*(-4)\/(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2155106 and 18.\nAnswer: 19395954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 5*h**2 - 3*h**2 - 2*h + 2*h - 4*h**2 + (0*h + h - 2*h)*(0*h + 0*h - 3*h) + 3*h**2 + h**2 - 5*h**2 as a*h**2 + k + q*h and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**3 - 1342*v**2 - 170*v + 203. Determine f(84).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735029.\nAnswer: 17, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1088)*-3*-5)**2.\nAnswer: 244796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/117? (a) -2 (b) -0.5 (c) 1 (d) -1\/200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 4*y + 41. Determine c(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.3 (b) 16 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 568, 572, 576?\n\"Answer: 4*w + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7542 divided by 6\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 629 divide 23013852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 809, 830, 903, 1046?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - sqrt(45))\/sqrt(9))**2 + -1 + (2*sqrt(5)*2 - (1 + sqrt(5) + 0)) - (-1*-4*(sqrt(320) + 0 + sqrt(5)))**2*6.\nAnswer: -38862 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/8 + 2*d**3\/3 + 45*d**2 - d. Calculate t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 175\/(-30) + (-2)\/12. Let f be 40400020\/(24\/z) - -5. Round f to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 288 = 5*k - 2155, -2*k = v - 752. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-94 - (-3 - -1)). Suppose 339 = 5*n + u. What is the remainder when n is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 133759664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m + 4 + 2*m + 3*m + 0*m to the form t + h*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172334934979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - -4*(sqrt(1700)*2 + sqrt(1700) - sqrt(1700))) + sqrt(1700) + -4*(-2*sqrt(1700))**2 + sqrt(1700) - (sqrt(1700)*3 + 2 - -2*3*sqrt(1700))**2.\nAnswer: -164904 - 250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {k: 3, e: 3, j: 1, r: 2, i: 1, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -3. Suppose -1 + 25 = -6*h. Let w = -27 + 34. Put w, b, h, -2 in decreasing order.\nAnswer: w, b, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let h = -75 - -80. Suppose -19 = t - 5*y, -t + h*y = 3*t + 31. Which is the nearest to 0? (a) p (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 7\/(28\/(-8)). Let l be (-8)\/j*1\/1. Is l at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 - 2*x**2 - 3*x - 1. Let g be d(5). Suppose 4*b = 4*o - 40, 4*o + 0*b - g*b = 36. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.48 - 28.08. What is the nearest to -15 in 3, 1.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7)*w*w\/w**(-4\/5))**(-2\/45) assuming w is positive.\nAnswer: w**(-52\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-8)\/(-4))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 503 in descending order.\nAnswer: 503, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -540? (a) 5 (b) -48 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -27*s**8\/28 - 97*s**4\/12 + s**2\/2 + 169*s. What is the third derivative of o(l) wrt l?\nAnswer: -6480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a)*(-a + 6*a - a) + (0*a - 2*a + 0*a)*(2*a + a - 4*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -62. Suppose -b*r + 51 = 9*r. Solve -r*f - 3*l + 24 + 6 = 0, -2*f = -3*l + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75\/28 - 13\/4. Let o = -1.2 - -6.2. Which is the closest to 0.1? (a) y (b) o (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 4, z: 1, r: 8, c: 1}. Give prob of picking 2 v and 1 r.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.6 + 0.4. Let f = 128\/5 + -26. Let r = -1.6 - 0.4. What is the nearest to f in b, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r + 12. Let z(i) = i. Let n(t) = o(t) + 4*z(t). Let b be n(9). Find the third derivative of 1 - b*l**6 + 3*l**2 - 1 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7819914936 and -1.\nAnswer: -7819914937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22)*1 + 141*(-1)\/11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + (-2*sqrt(108) - sqrt(108)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 4*j**2 - 2*j)*(4 - 4 - 2*j) - 3*j**3 + 0*j**3 + 4*j**3 - j**3 + 0*j**2 + 0*j**2 as g*j**2 + h*j + v + b*j**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1559121\/22, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 92.28738 decades?\nAnswer: 922.8738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 121.8415.\nAnswer: -118.8415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19393171 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21785 and 30446.72191.\nAnswer: 8661.72191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v = -68*v - 6, -5*n - 3*v + 1306 = 0. What is the remainder when n is divided by 96?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/7 - 6\/7*i**5 - 4*i**4 - 4*i**3 + 34\/7*i + 16\/7*i**2 = 0. Calculate i.\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(3) - sqrt(3) - (sqrt(72)\/sqrt(3))\/sqrt(8) - ((sqrt(147) + 2 + sqrt(147) - sqrt(147)) + -5))**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584083*s + 1584083*s - 1 - 360*s**2.\nAnswer: -360*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51172 = 2231*r - 82584 + 31130 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390614182 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13893656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - ((-2)\/(-17) - 1554\/204). What is the closest to -12 in 3, -1\/9, 1\/4, v?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/90 + 3*y**4\/2 + 34*y**3\/3 - 92. Let t(k) be the third derivative of s(k). Solve t(w) = 0 for w.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 130868870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 78 = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*c + 11*c + 356 = 40*c. Let t(d) = -d**3 - 3*d**2 + 2*d + 2. Let i be t(-4). Solve 3*a + a + o - 20 = 0, -c*o + i = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t = -16*t - 603 + 59 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t = -106*t - 520 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 - 2*v**4 + 6*v**3 + 10*v**2 + 4*v.\nAnswer: -2*v*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-3))\/24*4082\/157.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, 5 in decreasing order.\nAnswer: 18, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5625, 6675, 7723, 8769?\nAnswer: 9813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15410\/1005*9\/6*-1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or -1\/51?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439375952?\nAnswer: 2, 27460997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11430 and 508.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -2*v + 234. Suppose -v = -3*c + 241. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7795 times 0.3?\nAnswer: 2.03385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.7 + -11. Let v = p + -3.7. Let r = 8 + -6. Which is the closest to -0.1? (a) r (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 18a?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**2*z**4 - 6*n**2*z + 8*n**2 - 281*n + 60381*z**4 - 11 wrt z.\nAnswer: 96*n**2*z**2 + 724572*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 85643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 4*n. Let s(f) = f**3 + f. Let o = -108 + 63. Let l = -44 - o. Suppose -12 = 2*a - 4*c, 7 = -2*a + 5*c - 6. Give a*s(r) + l*p(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 25*x + 41. Let l be i(-27). Suppose 4*m = -2*u + 58, u - 72 = -3*u + 3*m. Let j = l + u. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 14) to base 4\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25 + 25)\/22)\/(-1). Factor 0*f - 2\/13*f**5 + v + 4\/13*f**2 + 0*f**4 + 6\/13*f**3.\nAnswer: -2*f**2*(f - 2)*(f + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 65712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144517087.\nAnswer: 11, 13, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 51*f - 406. Let s be l(8). Solve -3*c - 8 = -s*m - 0*m, -20 = -c - 5*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 1343063 = -45*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 4*w - 7*w + 7*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -7 + (-8 - -16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (2 - 10 - 0). What is the units digit of 5\/(1*(-3)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 40*l**3 - 10*l**2 + 26*l + 11. Let p(z) = 8*z**3 - 2*z**2 + 5*z + 2. Determine 2*k(u) - 11*p(u).\nAnswer: -8*u**3 + 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678219412 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 + -412. Sort -4, 7\/4, b in decreasing order.\nAnswer: b, 7\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 12:15 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -1\/4, 166?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126512400 (base 7) to base 13.\nAnswer: 19138b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 114*n**2 + 34*n + 151. What are the prime factors of r(-4)?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1306662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2048*x + 733 - 733 + 2077*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-30) - (-5)\/1575*42.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41871 - 41857. Let w = 81 - 177. Let p = w - -161. Calculate the remainder when p is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.725 - -0.025. Let y = c + 13. What is the third biggest value in 5, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j. Let q(o) = o**2 + 9*o + 10. Let l be q(-8). Suppose 2*a + l*v = -2*a + 12, -3*a + 4*v + 20 = j. Solve x = -3, 2*x + 1 = a*g - x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10326741 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 265*y + 3517. Give l(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 463 + -51. Suppose p = s + 3*s. Suppose 0 = 4*c - 4*r - 184, -7*r + s = 3*c - 3*r. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j**5 + 5\/24*j**4 + 6*j**2 + 0*j + 3\/40*j**6 + 0*j**3 + 0. Find the second derivative of s(l) wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 26*y + 4 = i, 1 = -y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 664, 1320, 1906, 2386, 2724, 2884, 2830?\n\"Answer: -6*h**3 + h**2 + 695*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t + 2*t)*(-2*t**2 - 2*t + 2*t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -397 - -3?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161856778879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuuoouuuu. Give prob of picking 2 o and 2 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**7\/1960 + f**6\/280 - 3*f**5\/280 + f**4\/56 + 2*f**3\/3 + 3. Let l(d) be the third derivative of y(d). Factor l(i).\nAnswer: -3*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+12228811634\nAnswer: 12228811633.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -260536.5259225 less than -1?\nAnswer: 260535.5259225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 - 324*m**4\/5 - 12536*m**3\/5 - 19880*m**2 - 233436*m\/5 + 50764\/5 = 0?\nAnswer: -7, 1\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let z be (m\/3)\/(-2 + 3). Sort z, -0.3, -1\/4 in decreasing order.\nAnswer: z, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2560 by 16.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68737 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1682 and -7.\nAnswer: 1.1774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/22 and 81\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90985423 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432563 to the power of 1\/2, to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 2631*l - 584427. Calculate x(283).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 666740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*s + 1440 = 361*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 t when three letters picked without replacement from nvlvtddvddd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -290, -279, -266?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 12 + 21. Let w = p - 5. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1960*w**3*x - 39*w**3 + 426*w**2*x + 2492*w*x wrt w.\nAnswer: 11760*x - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiai when four letters picked without replacement from iaiiaaiiiiiiiiiiaii?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 29 = -5*i, 2*c + 4 - 14 = -4*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.85 and 4493274.347.\nAnswer: 4493273.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 6?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -26191*b + 942880. Give v(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.938099 and 117.\nAnswer: 110.061901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162941 and 322453.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyy when three letters picked without replacement from yyk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.51392m to kilometers.\nAnswer: 0.07051392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j**3 - 25\/6*j**4 + 0 + 2\/15*j**5 + 1\/120*j**6 - 9*j**2 + 0*j. Find the second derivative of u(m) wrt m.\nAnswer: 6*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8244 = -4*w, -2*w = -5*b + 3912 + 228. Let d be 4\/10 - w\/(-4275). Let j = d - 4718\/855. Find the common denominator of -55\/9 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3350 and 14150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1011 - 1017.006. Let n = -0.03 + 6.03. Let f = l + n. What is f rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - 21221?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339 - 333. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 108. Let g be z(-18). Suppose -2 - 16 = -g*m. What is the greatest common divisor of 19 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*m - 16777 = 241*m - 42692 for m.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(288) - (sqrt(288) + -2 - sqrt(288)))**2 - (-1*sqrt(2)*-1)**2.\nAnswer: -294 - 47*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t\/(t*t**(-4\/7))*t)**(1\/18)\/(((t**(-6)\/t)\/t*t)\/(t*t*t**(-4)\/t*t)*t**(-1\/5)*(t\/(t\/t**(6\/11)))\/t) assuming t is positive.\nAnswer: t**(20858\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 364225059 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -225*b**5 + 79035*b**4 - 10325824*b**3 + 605004172*b**2 - 14550011424*b + 75560651712 = 0. What is b?\nAnswer: 7, 962\/15, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4592*d + 18478. What is l(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 2*r + 0*r + 3*r to y + n*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a + -6?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrr. Give prob of picking 1 r and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-37)\/(-296)*(0 + -2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**17*u**46)**(2\/15))**37 assuming u is positive.\nAnswer: u**(4736\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {l: 1, n: 3, p: 3, k: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -46.5.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1671579 and -41\/183690?\nAnswer: 16715790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 3527 + 1900. Let n be 4\/(-7)*(i\/6)\/3. Let u = -14620\/763 + n. Do u and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h - 661 = 182*h + 659 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 9*m - 8. Let f be l(-8). Suppose f = -0*s + 2*s - 60. Let k(b) = -4*b - 1. Let o be k(-2). Solve -5*p + 3*z - s = 0, 5*p = 4*z - o*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 24*q - 1. Let n(c) = -c. Calculate l(i) - 3*n(i).\nAnswer: 27*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(1 + sqrt(80))*6*6 + -4)**2 + -1.\nAnswer: 366336*sqrt(5) + 3777423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: 3d3b (base 14) to base 7\nAnswer: 43404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 19 + 7. Let h(i) = -16*i + 4. Calculate the remainder when h(g) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let i(s) = -2*s**3 - 24*s**2 - 6*s + 7. What is i(u) - 6*p(u)?\nAnswer: -2*u**3 - 24*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 + -2 + 38. Let j = r + -4. Let w be (4776\/(-720) + 1\/(-6))*-5. Is j smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 20. Let z be 5 - (3 + b + 2). Suppose -2*x + x - z = 3*t, -x = -2*t - 14. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7133\/132 + -1595447\/2508. Let x = t + 582. What is the smallest value in 4, 3, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -260 + 337. Let c(k) = k + 8. Determine c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*((sqrt(130) - sqrt(130)*1) + sqrt(130))*-1)\/(sqrt(90) + 1*sqrt(90)*1 - 6*(sqrt(90)*-1 - sqrt(90)))*-4)**2.\nAnswer: 208\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-157)\/(-4) + (-4)\/16. Let y = 69 - j. Solve -2*g - 22 = 3*h + 1, 5*g = -2*h - y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 2.9. Sort -16, p, -1\/5 in increasing order.\nAnswer: -16, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -282, -640, -1134, -1758?\nAnswer: -2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176988*g**2 - 8*g + 18616.\nAnswer: 353976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.07 - 6.07. Put 3, 2.17, 0, -1\/2, q in descending order.\nAnswer: q, 3, 2.17, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*r - 12351, -765 + 4868 = x - r. What is the remainder when x is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -14. Let b be (28\/q - 1)\/(7\/5). Suppose b*d**2 + 0*d + 2\/7*d**5 + 6\/7*d**3 + 6\/7*d**4 + 0 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*2*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728656092?\nAnswer: 2, 432164023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 16 + -3 + 63 + 0 + -2 + 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7*h. Suppose 0 = -5*c, -3*v - 3*c - c + 6 = h. Solve -5*z = -2*n + 33, v*z - 22 = -3*n + 4*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 144 - 15 = 11*v, 29 = -2*v + f for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h + 375. Let o be y(21). What is the highest common factor of o and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 959744.8l?\nAnswer: 959744800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2266, 3\/5, -0.17 in decreasing order.\nAnswer: 2, 3\/5, -0.17, -2266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/25 and (670 - 665) + 47284\/(-9470)?\nAnswer: 23675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 3*x = -87, -378*k + 374*k - 4*x + 60 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 6\/145 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-15768.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((13\/(-208))\/(2\/(-8))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*y - i - 202, -y + 55 = 4*i. Suppose y*w = 48*w + 5385. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 786 = 26*j, 3*v + 5*j + 40 = 4*j + 2*j + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7 + 32\/7*x**4 - 20\/7*x + 12*x**2 - 92\/7*x**3.\nAnswer: 4*(x - 1)**3*(8*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/3 + 2*y**3\/3 + 4*y**2 + 180*y + 7. Determine l, given that u(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832312 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 2. Let a(b) = -5*b + 3. Let u = -2 - 5. Give u*v(c) - 4*a(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38647?\nAnswer: 7, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 58463?\nAnswer: -116926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*h**2*r**2 + 3*b*h**2*r + 2*b*h*w + 3*h**2*r**2*w - 2*h**2 + 8*h*r*w + h*r + 88*r**2*w wrt r.\nAnswer: -2*b*h**2 + 6*h**2*w + 176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/28710 and -101\/360.\nAnswer: 114840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 70*w + 0*w**2 + 0 - w**7 + 98\/3*w**3 + 0*w**5 + 0*w**4 + 0*w**6. Find the second derivative of m(p) wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g. Let m(t) = 1473205*t**2. Determine q(m(p)).\nAnswer: 7366025*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -70, -70, -60, -34, 14, 90?\n\"Answer: q**3 - 4*q**2 + q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 divided by -200?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101709 + -101709. What is i in 4\/7*i**2 + z - 4\/7*i = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 23923*c + 23827. Determine s(-1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6 - f + 1 - 3. Let a be w(3). Sort 0, a, -3 in ascending order.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13132*j = 13135*j - 423. Calculate the remainder when j is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11362147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 96\/(-51))\/1.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 12.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64891, 64909, 64927?\nAnswer: 64945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146.7*22.\nAnswer: -3227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, 467, 446, 405, 338?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 + 2*p**2 + (3*p + p + p)*(-2*p + 4*p + 0*p) - p**2 - 127 + 127 + (-3*p + p + 4*p)*(-6*p + 4*p + 4*p) + (-2*p + p + 0*p)*(1 + p - 1).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 267837 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1134682400 to the nearest one million.\nAnswer: -1135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.16058 + 4.1609. Let t = -14 - z. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25 - 11 - 16 - i. Let j(v) = v + 2. Give -4*j(w) - 5*u(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 1, t: 1}. What is prob of sequence uoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2148 + -2145. Solve -4*q - 2*n = -l*n + 7, 4*n = -q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0.02, 5.02, 0.4 in increasing order.\nAnswer: -5, 0.02, 0.4, 4, 5.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*d = 8, 17*u + 2*d - 5 = 18*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-17 - -13) + -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -36.26, 3 in ascending order.\nAnswer: -36.26, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11) + 6*(sqrt(11)*-2 - sqrt(11)))*4)**2.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152126127 to the power of 1\/2, to the nearest integer?\nAnswer: 12334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*c + 2*z + 16317, z + 21781 = 4*c. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 2, p: 1, s: 1, u: 2, g: 1}. What is prob of sequence us?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:09 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438, -1421, -3048, -5313, -8210, -11733, -15876, -20633?\nAnswer: -25998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-12) + (-25)\/(-4). Let z(u) = -5 + s*u**2 + 10*u - 2 + 3*u**3 - 3*u. Let q(f) = f**3 + 3*f**2 + 3*f - 3. Calculate -7*q(l) + 3*z(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 14312*g**3 - 1994176*g**2 + 16867328*g = 0. Calculate g.\nAnswer: -142, 0, 8, 3712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {f: 5, h: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6267b (base 13) to base 4.\nAnswer: -101222331020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -5, -12, -4 in decreasing order.\nAnswer: -3, -4, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g = -821*g + 14497 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000828 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2, 0.125?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 - 3068170*f**3 - 15340760*f**2 - 21477030*f - 9204435 = 0. What is f?\nAnswer: -613629, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 282867117 to the power of 1\/2, to the nearest integer?\nAnswer: 16819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 times -4?\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 25 - 25.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3))**(2\/3)*o**12*o*o\/(o*o**(-1\/3)\/o))**(-3\/46) assuming o is positive.\nAnswer: o**(-37\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 2. Let n(m) = 3 - 2*m**2 - 1 + m**3 + 0 - 2*m**2 + 2*m. Let u be n(3). Let f be 1 + u - (1 - 3). What is o(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 8*r**2 + 7*r + 7. Let s be (150\/9)\/(2\/(-3)). Let z = -18 - s. What is k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14*n + 5 + 6 - 11. Let q(f) = -f. Calculate t(q(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = -64. Let y(r) = 7*r - 62. Is y(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t**2 + 2*t + 1. Let p be k(2). Let q = p - -57. Let x(c) = 50*c + 1006. Let m be x(-20). What is the greatest common factor of q and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -57 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22f4 - -4?\nAnswer: -22f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 6:20 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3554 + 3?\nAnswer: 4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r - 32*r**2 + 33*r**2 + 48 - 11. Let y be a(-5). What is the units digit of y\/(((-14)\/(-124))\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -2*b + 57. Let m = b - -104. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (5 + -8 - -11) + 1 + (-5 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11065 = -2914*v - 331605 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.0793, 8, -14, -2\/5?\nAnswer: 0.0793","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -332 - 318 + 650 - 8407*k in the form s + u*k and give u.\nAnswer: -8407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20697 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a - 5*a**2 - 2 - a + 1. Let q be t(3). Let v = -3 - q. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4946661 is divided by 250.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18) + 0 + 8\/3. Find j, given that 0*j + 2\/3*j**d - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**8)\/j)\/j**(2\/5)*j\/((j**(2\/13)*j)\/j)*j**(2\/5) assuming j is positive.\nAnswer: j**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - 8*j + 5. Let x be o(6). Let h(q) = -31*q - 18. Let b(z) = 32*z + 17. Let r(a) = -6*b(a) - 5*h(a). Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwhhwwwwwhhhwh. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028565 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/19 and 41.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -4.9. Sort 0.9, r, 4.\nAnswer: r, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7978.707 years in centuries?\nAnswer: 79.78707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 349 = -329, -m + 2*k = -7*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*882\/24*-2. Let k(t) = -3*t - 5. Let q be k(-4). Calculate the highest common divisor of q and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -3*w**2 + w**2 - 4*w + 3 - 6*w. What is the first derivative of c(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27355260 or 27355226?\nAnswer: 27355260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c. Let l(s) = -576491*s**2 - 3. Determine l(i(q)).\nAnswer: -147581696*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = -4*x, 5*q + 0*q = 25. Suppose 2*m = 2*b + 40, -108*m + 38 = -106*m - b. Put 3, x, m in descending order.\nAnswer: m, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*-1*sqrt(133))\/((sqrt(21) + (sqrt(105)*2)\/sqrt(5))\/sqrt(3)) + 4)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c - 2*c**2)*(3*c - 6*c + c)*(3400 - 4699*c - 3400) - 2*c - c**4 + 2*c in the form p*c**2 + z + b*c + s*c**3 + j*c**4 and give j.\nAnswer: -18797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 21*n**3 + 68*n**2 + 150*n + 81. Let m(a) = -4*a**3 - 14*a**2 - 30*a - 16. Let w(g) = -11*m(g) - 2*s(g). Factor w(d).\nAnswer: 2*(d + 1)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30, 62, 152, 330, 626, 1070, 1692, 2522?\n\"Answer: 5*x**3 - x**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 28 = 2. Suppose 3 = -3*i - 2*p, 5*i - 7*p + 5 = -d*p. Let a be -5*3*2\/14. Is i greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 5*(-36)\/(-25).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 1197*m**3 + 5*m**2 + 1216*m**3 - 4*m**2.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 19. Let x be b(0). Let l = -19 + x. Solve 4*z + 15 = -6*g + g, l = -2*g - 2*z - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + u)*(-2 + 2*u + 2)*(2*u - 2*u - 2*u**2).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-760)\/(-2090) + (-15825)\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/81 - 2400\/(-11340)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 45, 66?\n\"Answer: 21*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/1985 - 234197\/21835. Do u and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4636274.\nAnswer: 2, 17, 136361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 11*u + 11. Let x(o) = -o**3 + 7*o**2 + 8*o + 10. Let j be x(8). Let m be g(j). Let c be 4\/(-3*1 - -2). Sort -5, m, c.\nAnswer: -5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 24 = 5*p - 4*j, -p - 3 = -2*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -25*g**5 + 19*g + 237. Differentiate d(h) with respect to h.\nAnswer: -500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129284031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + 2. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqaaahbhaqhh. Give prob of picking 1 h, 1 q, and 2 a.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119)*-2 - sqrt(119))\/(sqrt(7) + sqrt(77)\/(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(7)))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.62 + -134.4. Which is the closest to -2\/5? (a) -1\/9 (b) z (c) 2\/19 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*c**2 - 96265 - 25*c**2 + 98956 as u + y*c**2 + i*c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132 or -50\/33?\nAnswer: -50\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r - 1. What is k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l**(-29)*l**(-2)*l**17*l assuming l is positive.\nAnswer: l**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 7*p - 1. Let z be g(8). Let i be z + (-1 + 6 - 4). What is the third derivative of 7*v**5 - 9*v**4 - i*v**2 - 8*v**2 + 9*v**4 wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {f: 6, h: 1, y: 4, m: 4, d: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9650, 9778, 9906?\nAnswer: 10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-2 - -4) - -4. Let o be (-2)\/(-8) - 19\/(-4). Suppose -3*u = o*i - 40, i = u + 4*i - 20. Solve -c = -w*c + h + 7, h + 11 = u*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-49.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by 3.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2445 - 1396. What are the prime factors of m?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -55*h + 29. Let c(n) = -14 + 10 - 54*n + 0 + 34. Let f(a) = 5*c(a) - 4*j(a). What is the derivative of f(u) wrt u?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhaah. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -22*l**2. Let p(z) = -1122*z**2 - z + 1123*z**2 + z. Give p(g(t)).\nAnswer: 484*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32608653, -65217316, -97825979, -130434642, -163043305?\n\"Answer: -32608663*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*w - 15934 - 51461, 0 = -2*i + w + 33701. Calculate the greatest common divisor of i and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98305 divided by 14\nAnswer: -98305\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) 0 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 + -2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 + 64\/(-7) + -287 + 294?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**3 + p**2 - 4*p - 5. Let x(v) = -v**3 + v + 1. Calculate 3*f(w) + 15*x(w).\nAnswer: 3*w**3 + 3*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55546, 55547, 55550, 55555, 55562, 55571?\nAnswer: 55582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {q: 1, j: 2, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/17 in 1\/3, -4\/7, 28, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-201)\/(-24) - -1)*5\/5 and 43\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -2) + 2 + (128 - 127 - (141 - 1))\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -7*z + 2*z - 2*m, 4*m - 13 = 3*z. Is z >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3550 + -3549.925. Do -6\/17 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1 = 2*t + 3, -3*t - 5*u - 14 = 0. Let i(h) = 3*h - 4. Let j be i(3). Suppose 0 = -j*m + 22 + 13. Solve 0*x + x - m = -t*z, 5*x - 26 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 16\/41, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 39. Let l be -12 - ((3 - 11) + -4). Determine o(l).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c + 2*c + 4*c + (11*c + 12*c - 40*c)*(-1 - 4 + 0) to the form x + k*c and give k.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 5*v + 16 = -10 - 0 + 1, -3*q + 114 - 117 = 2*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 85.09. Let f = 0.01 - n. What is the closest to f in 4\/3, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 675 + 272?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 1.28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - z**4 - 2*z**4 + (-43158 - 44*z - 3*z**2 + 43167 - 67*z)*(4*z + 2*z**2 - 4*z).\nAnswer: -8*z**4 - 222*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = -21*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**8\/47040 + a**7\/5880 + 7*a**5\/60 - 7*a**2. Let r(v) be the third derivative of d(v). Suppose r(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 4 + 6*s + 5*s**3 - 1 - 6*s**3. Calculate the remainder when 96 is divided by i(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {c: 9, v: 8, r: 1}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Do 1128180 and 1128176 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 5*o + 1. Let w be g(4). Let z = -21 + 39. Let i = z + w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 7973, 0.5?\nAnswer: 7973","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -601 + 605. Solve -l*h = 24 - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 7. Let t be h(3). Let v(o) = o + 7. Suppose 0 = -a - 4*a - 25. Let r be v(a). Solve -b - 18 + r = -5*z, -5*z = -t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Suppose -f - f = s*k - 40, 5*k - 3*f = 100. Let j = k + -18. Solve p - j = 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10005 divided by -16\nAnswer: 10005\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.197 - 1.07. Let y = k - 0.127. What is the nearest to -2\/7 in -2, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/60 + 2*f**2 + 7*f. Let h(y) be the first derivative of u(y). Let w(v) = 25*v**2. Determine h(w(a)).\nAnswer: -625*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y + 212. Suppose 23041*o = 22990*o + 1377. Determine r(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c - 7. Give m(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 8. Let a be m(6). Determine c so that -10*c - a - 25\/2*c**2 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -87. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 6. Suppose 6*m - 2 = 5*m. Sort 6, j, m in increasing order.\nAnswer: j, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - z + 4. Suppose b = 5*n - 15, b = -2*b. Suppose -h + p = -n*p + 8, 0 = -p + 2. Let d be o(h). Sort 3, -5, d.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.048, 45, -0.5, 3, -2.2, -5?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -0.238312*-4\nAnswer: 0.953248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 26 + -2 + 3 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 342*k - 2381 + 2379 - 8*k**3 + 6*k**3 + (3 + 3 - 5)*(3*k**3 - 3*k**3 + k**3) - 2*k**3 - 3*k**3 + 4*k**3 + (0 + 0 - k)*(2*k**2 + 0*k**2 + 0*k**2).\nAnswer: -4*k**3 + k**2 + 342*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 5*z - 12, -2*t + 10 = 2*z. Suppose 10357 = 3*g + 832. Find the third derivative of g*i**4 + 34*i**z - 3175*i**4 + 16*i**6 wrt i.\nAnswer: 1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -601?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 9 = -5*a, 9003*a + 5 = 9004*a + 2*y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 317937*m**2 - 635838*m + 2543448 = 0.\nAnswer: -105977, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 5507080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 26*m + 24*m - 516362, -413098 = 4*w + 3*m. Round w to the nearest one thousand.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/191297 and 71\/10?\nAnswer: 1912970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert c89c (base 15) to base 5.\nAnswer: 2324242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1265 + 1273. Calculate the smallest common multiple of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 1, -10\/7, 5.544, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t - 13*t + 46 + 2*t**2 - 10*t - 10*t in the form a + n*t + d*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*x + 113*x + 32 = 0. Let f be 4*-1*(-3)\/4. Suppose -x*d - f = -15. Let k(i) = 2*i**2 - 4*i. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100111 (base 2) to base 12.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130461 (base 7) in base 3?\nAnswer: -1020021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 6)*(-2)\/(-4). Let j be (-2)\/3*6\/(-8). What is the biggest value in 3, x, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431624933 is divided by 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 24*r**2 - 1985*r + 14345. Determine w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 515 - 676. Let a = 401 + p. Solve -3*h - 14 = a*z, 4*z - h - 2 = 4*h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -271*i**3 - 2*i**2 - 8*i + 24. Let v(j) = j**3 - j**2 + 1. Let b(p) = -g(p) + 2*v(p). Find the second derivative of b(z) wrt z.\nAnswer: 1638*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/20793 - 3036628\/1767405. Let l = -8\/5 - c. Sort 4.7, 0, l in decreasing order.\nAnswer: 4.7, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c**2 - 79*c**2 - 6*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgdhgvghdbd. Give prob of sequence bhsh.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21075, -21114, -21181, -21276, -21399, -21550?\n\"Answer: -14*x**2 + 3*x - 21064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 1, 141?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36340 and -0.5.\nAnswer: -18170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 116 + 32 = -4*l, -t = 3. Let s(u) = 13*u**2 - 9*u - 4. Let k be (4\/3)\/((-3)\/9). Let j(g) = 3*g**2 - 2*g - 1. What is k*s(c) + l*j(c)?\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 - 9*y + 6720. Let k(i) = -3*i**2 + 4*i - 3361. Determine 9*k(d) + 4*s(d).\nAnswer: -3*d**2 - 3369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.27932225 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22009 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9190, -1, -0.9 in decreasing order.\nAnswer: -0.9, -1, -9190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 856, 1667, 3292, 5959, 9896, 15331?\n\"Answer: 38*n**3 + 179*n**2 + 8*n + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -264 - (7 + (-5 - 7)). Let r be (-2)\/(-2)*(-592)\/g. Put 0.2, -2, -3\/8, r in descending order.\nAnswer: r, 0.2, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48406950*-0.4.\nAnswer: -19362780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 2*z**2 + 30*z - 547. Let v(n) = 8*n**2. Determine j(v(r)).\nAnswer: 32*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2859*i**3 + 11*i - 11*i - 1130*i**3.\nAnswer: 1729*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*p = 135*p + 114*p - 588. What is the highest common divisor of 324 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose v + 0*v - 3*g = 9, -3*v - g = d. Suppose -3*n - q - 9 = 4*q, v = -n - 5*q - 13. Solve 2*t + u = 4 + n, 2*u + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 0 (c) -2 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -50371*a**2 + 50373*a**2 + 0*a + 0*a. Let r(t) = -23*t**2 - 2. Let z(g) = -2898*g**2 - 253. Let v(h) = 759*r(h) - 6*z(h). Determine c(v(s)).\nAnswer: 9522*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 45*q**2. Let v(j) = -2*j. Calculate v(b(m)).\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*k = k - 165, -k + 5 = 0. Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 9 - 10)*(9*g + 5*g - 5*g) in the form n + u*g and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a + 73 + 32 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7724 - w**2 - 7725 + 0*w**2. Let b(q) = -3*q**2 - 5. Suppose 3*p = 1 + 2. Let z(i) = p*b(i) - 5*x(i). Let u(n) = -7*n. What is z(u(y))?\nAnswer: 98*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b. Let a be (164\/(-328))\/(2\/16). Sort a, -12, b, 3 in ascending order.\nAnswer: -12, a, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 450*a**2 - 8*a + 1. Calculate s(-1).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 16242 = -4*t, -4*w = -4*t + 5*t - 32477. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 10.3. Round p to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10699 + -1?\nAnswer: 10698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60333 divided by -24?\nAnswer: -20111\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let g be (z - 1) + 2\/8. Let n = 0.3 - 0. Which is the second smallest value? (a) g (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 10*c + 27. Let i be w(6). Solve -2*v - 3*v - i*z - 15 = 0, -3*z = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-132)*-12)\/((-2686)\/79)?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 1, i: 1}. What is prob of sequence iq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1314*o - 6353. Let m be f(-5). Solve m = -19*q - 12*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17938 - -30891. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 times -18182?\nAnswer: 21272940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -899628, -1799297, -2698966?\n\"Answer: -899669*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1545215 (base 6) to base 8.\nAnswer: 263353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 5*n**3 + 5 + 3*n**3 - 12*n**3 - 9*n - 5 to d*n**2 + q*n + p + z*n**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2\/7 (c) 1\/39 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-89)\/(-45) - 1342\/610?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 o when three letters picked without replacement from {x: 2, a: 1, o: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 16 = -0*t + 3*t, 0 = 3*t + 5*f + 7. Let x = 395 + -8297\/21. Put 4\/7, t, -2\/7, x in ascending order.\nAnswer: t, -2\/7, x, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.02 + 0.98. Suppose -138*r + 55 = -108 - 389. What is the second biggest value in r, 2, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9510 + 4767 + 3*c**2 + 9*c + 4743.\nAnswer: 3*c**2 + 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 + 5355*k**3 + 5345*k**2 - 5355*k - 5350 = 0. Calculate k.\nAnswer: -1070, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008906613 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x. Let y(c) = 142*c**2. Let s(q) = -150*q**2. Let a(n) = 8*s(n) + 9*y(n). Calculate a(l(o)).\nAnswer: 9438*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:55 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*h = -168. Let d = -21 - h. Suppose -s = 2*s - 4*w + 7, d*w = 4*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-500)\/(-8))\/(-5))\/(20*(-7)\/280).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1982227 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 f, and 1 v when three letters picked without replacement from fkffkffffvrrf.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/21 and 37\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-66))\/(((-344)\/(-387))\/(8\/3))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.7 + 17. Let a = o + -6.3. Put 3\/2, a, 3\/7, -1 in decreasing order.\nAnswer: 3\/2, 3\/7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -460, -778, -1096, -1414, -1732, -2050?\n\"Answer: -318*q - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -56969975.\nAnswer: -56969974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w + 0*w**4 + 0*w**6 + 7\/20*w**5 + 0 + 0*w**3 - 2\/15*w**7 + 21*w**2. What is the third derivative of x(h) wrt h?\nAnswer: -672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40505 - 17590. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9075 divided by -217?\nAnswer: -9075\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 6) + 17 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.007 + 23.293. Let f = o - 31.3. Which is the nearest to 0.3? (a) -1 (b) f (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2247 + 19212 = 261*m for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7000 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q - 2. Let u(j) = 3*j**2 - 9*j - 9. Let z(s) = 9*c(s) - 2*u(s). Let b(k) = 2*k**2 - 2*k**2 - 2*k**2. Calculate z(b(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689103 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87071227 less than 3?\nAnswer: -87071224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 610?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1894.253 litres to millilitres.\nAnswer: 1894253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1343\/3 - 447. Which is the closest to o? (a) 5 (b) -4 (c) 0.19 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25125 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 + 17 = -25*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9157917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-60))\/((-4)\/14 + (-31)\/651).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.7 at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5 + 1 + 8*k - 7*k. Let u be s(7). Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 38*g + 9. Determine w(23).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7*y + 7*y - 8*y**2 + 2*y - 3*y**2 as i + u*y**2 + w*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4331 and 35563?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*m + 22*m + 198. Suppose -42*t = 3*t - 90. Solve 27\/8 + 6*i**t + m*i = 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i - 126 = 50*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = -5*l + 18, 5*q - 25 = -5*l. Suppose s = l*s - 16. Is (-33)\/(-5) - s\/(-10) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*p = 3 + 1, 2*i + 2 = 3*p. Suppose -i*z + 2 = -z. Let s(d) = -d**2 - d + 33. Let a be s(-6). Solve -z*l - a*l - 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1302827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25574 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 188? (a) -1\/4 (b) 3\/5 (c) 0.4 (d) -0.23 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 12\/41, -4\/11, 140?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - (-10)\/4. Suppose 0*x - 7 = u*x - j, -3*x - 5*j = 37. Let c = x + 8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 66, 122, 196, 294?\n\"Answer: o**3 + 37*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 224*a**2 + 13*a + 15. Let m(c) = -336*c**2 - 20*c - 24. Determine 5*m(i) + 8*u(i).\nAnswer: 112*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -396*a**2 + 4. Let b(l) = 396*l**2 - 3. Let z(u) = 5*b(u) + 4*o(u). Is z(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*a = -2*x + 1, 3*x = -3*a + 15. Let m = 13 + -14. Let b be x\/2 - (m + 3). Solve 2*z - 36 + 12 = 4*f, -2*f - b*z = 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*v**2 + 362*v**2 - 126*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 1 + 1 + 2*r - 3*r + 3*r + (-3 + 3 + r)*(-3 + 3 + 2) + 3*r + 0*r - 4*r + 2*r + 0*r - r - 5*r - r + 4*r + 3*r + 2*r - 2*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 20*i + 72. Let m be g(-23). Which is the third smallest value? (a) 39 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654100770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1631, -1815, -1999, -2183?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8524.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82023 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 8 - -3) + 4 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468064 is divided by 7684.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/40 - (2 + (-27)\/28). Is -2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 10 (c) -5 (d) 12 (e) 0.034 (f) -28\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 52 = 6*t, -4*t - 126330*a + 46 = -126327*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ee3 (base 15) in base 16?\nAnswer: 696c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfo when three letters picked without replacement from {c: 3, j: 4, f: 1, s: 3, r: 2, o: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 10. Let h be a(-9). Let j = h + 0. Is (-18)\/24 + 126\/j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + 5 - (3 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, v: 9}. Give prob of sequence hhvh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.1 - 32. Let q(z) = -z**3 + 9*z**2 + 2. Let l be q(9). Sort -11, h, -0.5, l in decreasing order.\nAnswer: l, h, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 15*x**2 - x**4 + 15*x**2 + x**3 - 9*x**4 - 31*x**2 as b + j*x + s*x**2 + m*x**3 + z*x**4 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*m - 24 + 1700 = -1864 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-28)\/5)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2173659 divided by -1.\nAnswer: -2173659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -21.9805337020743?\nAnswer: 21.4805337020743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2405476862 from 0.0574.\nAnswer: -2405476861.9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36619 - -236290. Let i = y + -199671.3599914. Let r = i - -0.36. Round r to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 9 = -3*r - 3*u, 3*u + 57 = 9*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -12, 2, 0.9 in decreasing order.\nAnswer: 2, 0.9, -0.9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2643665070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 135.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 13*s - 6. Let y be u(-5). Let k = 48 + -31. Suppose 0 = -y*d + 5*r - k, r = 2*d + 3*r - 14. Solve -2*w - d*z - 4 = -6*z, 0 = -5*z + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5634.6*148\nAnswer: -833920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**2 - 2*z**2 - 2*z**2 + (z - z + 2*z)*(6*z - 2*z - 2*z) - 246 + 246 + 41*z**2 + (3*z**2 + 17 - 17)*(-1 - 2 + 2).\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1. Let l be n(-3). Let w(d) = 18*d - 13. Let u be w(1). Suppose 0 = -3*f + f + o + 44, -4*f + u*o = -100. Solve g + l*g + f = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**4 - 88*v**3 - 366*v**2 + 216*v + 243 = 0.\nAnswer: -9, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 24. Suppose -f + o = 5*f. Sort -2, f, -1, -5.\nAnswer: -5, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -38. Suppose -f*d + 364 = 2*d - 4*t, 4*d = 4*t + 292. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**3 + 27*p**2 - 42. Let h(v) = v**3 + v**2 - 4. Let a(t) = -5*h(t) + l(t). Give a(-22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 0. What is the second derivative of 16 + n**2 + u*n - 16 wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-5)\/sqrt(11) - sqrt(637)*1 - (4 + (sqrt(325) + 0)**2 + sqrt(325))*-4.\nAnswer: 8*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f - 11. Calculate g(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.08? (a) -0.2 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -481, -712, -939?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 7. What is the common denominator of h\/(-2)*1\/28 and ((-182)\/(-16))\/((-11)\/(-4))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 = g. Let m be (-111)\/((g\/(-2))\/(-5)). Is 2\/(-6)*0 - m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 308 = -2058. Let v = 3 + 1. Suppose -v*y + 26 + 26 = 0. Calculate the greatest common divisor of y and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 955\/10718 + -1\/466. What is the third smallest value in -2\/11, -2\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.4 (b) 0.5 (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1497251050 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/12 - -4)*30\/(-4). Do a and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:55 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 3*t - 2. Let l be q(2). Let p be 17 - -4 - l\/(-2). Let u be 2 - p\/45*4. Which is the smallest value? (a) -0.3 (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 531? (a) -3\/5 (b) 4 (c) 7 (d) 5\/3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3. Let m = 11 - 2. Let i = m + -4. Let l be (6\/(-9))\/((-8)\/48). Let q(x) = -3*x**3. What is i*q(t) + l*u(t)?\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 48*f - 98*f + 12 + 47*f. Let l be b(-4). Solve 2*t - 8 = 0, -5*t - 2 = a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432939 is divided by 72109?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 70. Let x be (-7)\/6 - 6\/(-9). What is the second biggest value in -3, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 3, n: 1}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523912316 to the power of 1\/2, to the nearest integer?\nAnswer: 39037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 + -41 - -93) + 0 + 10. Solve -15*f + x = -28 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3.96. Let g = -0.01 - h. Let d = -0.19 - g. What is d rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-3)\/((-6)\/4). Suppose -7 + 4 = -n. Let d(b) = n*b - b**2 - 1 + 1 - b**3 - 3. What is d(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -1\/33, -2\/5, 1.\nAnswer: -2\/5, -1\/33, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 5*h + h - 23 - 20 - 236.\nAnswer: -4*h - 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b0 (base 13) in base 8?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -195, -3\/17, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 0)*(-28*a - 25*a + 56*a)*(0*a + 2*a + 0*a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**4 - t**4 + 2*t**4)*(42 - 355 + 67) in the form g*t**3 + x*t**2 + p + u*t + q*t**4 and give q.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*t**5 - 6*t**4 - t**3 + 2122*t**2.\nAnswer: 1560*t**2 - 144*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/12 - c**3\/2 - 25*c**2 + 5. Let i(u) be the second derivative of m(u). Let s(v) = 2*v - 4. Calculate 3*i(o) - 2*s(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*w + 9856 = -17*w. Calculate the highest common factor of 1419 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1 + 0 + n**2 - 9*n - 7 + 10. Is i(13) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15128.96l?\nAnswer: 15128960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:47 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*h**4 + 518*b*h**2 + 298*b wrt h.\nAnswer: 8*b*h**3 + 1036*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(208) + sqrt(13))) + -4 - sqrt(13)) + sqrt(13) + 1 + -4)**2.\nAnswer: 56*sqrt(13) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -13.5. Let v = 12.5 - -2.5. Let r = v - y. Put r, 1\/8, 3 in decreasing order.\nAnswer: r, 3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12*c)\/c**(2\/19))**(-3\/8) assuming c is positive.\nAnswer: c**(-735\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 153. List the prime factors of ((-200564)\/39)\/y*6\/4.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*q**4 - 3*g*q**3 - 24229*g*q**2 + 2*g*q - 21*g - 30470213*q**4 - 2*q + 1 wrt q.\nAnswer: 24*g*q - 18*g - 731285112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 61*d + 333. Give q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47411 divided by -91?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17374468.\nAnswer: 2, 4343617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -228, 0.05, 0.5, 13\/92?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**5 + 5*u**4 - u**2. Let s(p) = 2*p**5 - 4*p**4 + p**2. Let i(h) = -4*k(h) - 5*s(h). What is the third derivative of i(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**5\/3 + 14*g**4\/3 - 22*g**3 - 158*g**2\/3 - 112*g\/3 - 8 = 0.\nAnswer: -2, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8 - 10 - u**3 + 1. Let s(y) = -5*y**3 + 6*y**2 + y - 11. Let j(t) = -6*q(t) + s(t). Give j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**4 + 5744*b**3 - 8279*b**2 - 2908994*b = 0 for b.\nAnswer: -5749\/5, -22, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 13. Determine i so that -4\/9*i - 2\/9 - 2\/9*i**v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29924109.\nAnswer: 3, 311, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -8 (c) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.27 + 11.17. Let h = 10 - i. What is the nearest to h in 0.3, -5, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 * 3\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-2\/3)\/j)*j)\/j*j*j\/(j*j**(-9)))\/(j**6*j\/(j*j*j**(2\/5))) assuming j is positive.\nAnswer: j**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 49. Let t be l(-33). Suppose -5*y + 15*s - 12*s + 78 = 0, 0 = y - s - t. What is the remainder when y is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4508 and 115598?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 13*d + 24. Let c be x(-4). Let a = 5 - 3. Calculate the greatest common factor of c and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 191787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 79 = 0. Suppose -4*y + r = -3*y - 24, 3*y + 3*r - s = 0. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4161, 4145, 4117, 4077?\n\"Answer: -6*m**2 + 2*m + 4165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/3 + 4205*p\/3 - 25770.\nAnswer: 5*(p - 18)*(p + 859)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 - 70523*c - 4973493529\/2.\nAnswer: -(c + 70523)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 2\/3 (b) 3 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 5*b - 2*b)*(-4 - 1 + 3) - 6*b + 2*b + 6*b + (1 + 2*b - 1)*(1 - 57 + 0) as r + m*b and give m.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/6)\/r)\/(r\/r**(-8)))**(-2\/9)*(r**(3\/4)\/((r*r*r**(-5)*r*r)\/r))**(-23\/6) assuming r is positive.\nAnswer: r**(-1805\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 13) + 9 + (-4 - (-2 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgjxjhxettt. What is prob of sequence jgh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(32*84\/1792)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1258 and -21\/5032?\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 42. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let n(o) = -69*o. Calculate n(f(g)).\nAnswer: -138*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 - 75*x - 655. Give f(-19).\nAnswer: -1396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -1.3992. Let h = 0.7 - s. Round h to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15113, -15127, -15141, -15155?\nAnswer: -15169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325089.\nAnswer: 1325089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110100010 (base 2) in base 10?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*h + 346 = 0, -5*u = -8*u + 3*h + 489. Find the common denominator of -1\/36 and -2 + 0 + (405\/u - 2).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 1656.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 6)*(182*t**2 - 317*t**2 - 387*t**2) + 2*t**2 + 2 - 2 to o*t + m + g*t**2 and give g.\nAnswer: -1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxstoko. What is prob of sequence ofo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23836 and 36757?\nAnswer: 14849828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/(sqrt(12)\/(sqrt(6)*2)))\/(6*sqrt(54)*-6) + 5)*6.\nAnswer: -sqrt(7)\/9 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37600 is divided by 242?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 1120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*d**4 - 4*d**3 - 526*d**2.\nAnswer: 7176*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 54, 69, 84?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.9.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*i + 278 - 278 + (2 - 3 + 0)*(-2 + 2 - i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 60 = 2*y. Let w(b) = b**2 - 4*b + 2. Let k be w(7). Let c = k - y. Solve 0 = 3*t + c*a - 21, -6*t + 20 = -4*t + 5*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 3*t**2 + 2*t**2 + 3*t**2. Let j(u) = 2*u**2. Give j(n(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + 1 + sqrt(50))*1.\nAnswer: 7 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n + 4. Let g(r) = -r. Determine 8*g(v) - t(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = l. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 24 - 2*m**2 - m**2 + 3 - 67.\nAnswer: -3*m**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1 (c) -2\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1))*j)\/j)**(1\/13)*(j*j\/(((j*(j\/j**(2\/9)*j*j)\/j)\/j)\/j)*j)**(-7) assuming j is positive.\nAnswer: j**(-1811\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 312. Let p(i) = -15*i - 2687. Calculate c(p(z)).\nAnswer: 225*z**2 + 80610*z + 7219657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 2697 = 6*u. Suppose 0 = u*a - 82*a. Solve -7*m = -a*m + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*c - 56, -o - 3*c = c - 27. Suppose -k + 7806 = -o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 164?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-884)\/51 - 5688\/(-54)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-2\/69))\/(h*h**(-18)))\/(h**(-26\/9)\/h**15))**35 assuming h is positive.\nAnswer: h**(260225\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(9)\/(2*sqrt(147) - sqrt(147)))**2 + 1) - (sqrt(135)\/(sqrt(10)\/sqrt(2)))\/(sqrt(729)*2).\nAnswer: -sqrt(3)\/18 + 208\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -2*m + 5*m + r, r + 334 = 4*m. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1120 and 481040.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48 + 61 - 172 + 5612*f**3 + 63 + 4661*f wrt f.\nAnswer: 33672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2835, 3, 0.3, 8, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.278243 years?\nAnswer: 0.01278243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/24*(-57 - -59)*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 50 = -82 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, j: 4, w: 1, s: 1}. Give prob of picking 2 j, 1 s, and 1 w.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + -2 - (1 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2414478, -2414475, -2414472, -2414469?\n\"Answer: 3*g - 2414481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(sqrt(1331) - -2*(sqrt(1331) + (sqrt(1331) - 1*sqrt(1331) - sqrt(1331) - sqrt(1331) - sqrt(1331)))))**2*-2.\nAnswer: -383333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + 23. Let g = 57 - d. Let k(c) = 30 - g - 39*c. Let z(v) = -11*v. Determine 5*k(f) - 18*z(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2. Let o(a) = -89359229*a**2 + 77759. Let s(b) = 6895*b**2 - 6. Let m(l) = 6*o(l) + 77759*s(l). Determine h(m(w)).\nAnswer: 149912283*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 450432858 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + (sqrt(700) - sqrt(700)*-2)*-3)**2 + 2*sqrt(700)*1 + sqrt(700)*2*-3 + 1).\nAnswer: 1920*sqrt(7) + 340230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2812 and 6960958.\nAnswer: 264516404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:01 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u + 1. Does 13 divide i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - x)*(0 - 1 - 1) + 2*x - 1 + 1)*(-x**3 + x**3 - 2*x**3).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 13. Let d = -11 - a. Suppose 0*t = 2*p - 4*t - 4, -2*t - 42 = -d*p. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110141*o**5 + 5*o**4 - 54200224*o**2?\nAnswer: 6608460*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46844 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t = -34*t - 33*t + 108*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5. Let j(k) = -14. Let b(y) = -17*d(y) + 6*j(y). Let t be 8\/(-6)*(8 + (-35)\/4). Let w(m) = -2*m + 3. Give t*w(r) - 3*b(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -147900 (base 13) to base 15\nAnswer: -9dd0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -7)*(-2 - 2\/4). Sort 7, 19, y in increasing order.\nAnswer: y, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a - 175*a - 1134 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-117)\/26)\/(-3))\/(162\/(-8)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 38 - 13)*(-4*h - 37*h - h) + h - 3*h + h.\nAnswer: 5081*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402 (base 8) to base 15.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175548, -175550, -175552, -175554, -175556?\nAnswer: -175558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*z - 39289*z**2 + 19646*z**2 + 19641*z**2.\nAnswer: -2*z**2 + 581*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4817754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4719256 * -2\nAnswer: 9438512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -558962, -1117918, -1676874, -2235830, -2794786, -3353742?\n\"Answer: -558956*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4250*d**3 + 5*d**2 + 51*d + 10. Let y be l(-10). What is y rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-190)*(-52)\/65?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 377*q**2 + 7*q + 7. Is l(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + ((-2)\/(-16) - 7\/(-8)). Let c = 5 - o. Solve 0 = 4*k + 8, c*k = 5*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16298269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3456 and 720?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28112 divided by 2\nAnswer: -14056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + 46. Let b be (-3)\/(-2) - 3\/6. Does 31 divide w\/3 - 3*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 - 1\/4. Let g(c) = -c**3 + c**2 - c + 20001. Let p be g(a). Let s be p - (-3 - 0 - -4). Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1355809458 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -20*q**5 + 8195*q**4 - 829605*q**3 - 2145770*q**2 + 24091700*q + 31827000 = 0?\nAnswer: -6, -5\/4, 5, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -5*t - 2*h + 4*h, 3*h = -2*t + 7*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 13*n**2 - 4*n - 105. Give q(10).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1794 - -1794.01. Is f not equal to -0.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 17*l + 76. Suppose 293 - 18 = -25*z. Let w be v(z). Solve w = -5*h - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*p + 7 = 1, -3*p - 20 = -5*h. Suppose -h*q - 10 = -3. Let n(l) = 1. Let f(m) = 5 - 6 + 0 + m**2. What is q*n(v) - f(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 0. Let m = 18 - 17.7. Suppose -38*s - 4 = -37*s. Which is the nearest to t? (a) -1\/12 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, z: 4, m: 1, e: 3, w: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -24. Let f(b) = b**3 + 4*b**2 + b. What is f(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1203 + 894?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17542*z - 8*z**3 + 7*z**3 - 2*z**3 - 17542*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 643 = -8*x. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.14691ug in grams?\nAnswer: 0.00007814691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1461\/19 + -77. Suppose 0 = -4*a + m + 467, -2*a + 4*a = -2*m + 226. Let x = a - 810\/7. What is the closest to x in c, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21533264 a multiple of 758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002542 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11603393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1916 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 + 5*s**2 + 3*s - 3. Give t(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - n + 1. Let u = -8 + 9. Let p be l(u). Suppose -5*d + 325 = -i - 4*i, -p = -i. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -22. What is the highest common factor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxxqx. What is prob of picking 1 x and 2 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-510)\/(-90) + 2\/6. Calculate the lowest common multiple of 6\/(-2) + (16 + 3 - k) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/((-4)\/(40\/3))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675.4092 milligrams to tonnes.\nAnswer: 0.0000006754092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*b - 63. What is the greatest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 225*c - 42297. Calculate q(188).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*x + 67, -3*x - 46 = -3*j - x. Calculate the greatest common factor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 15*b**2 + 19*b + 38. What is the remainder when j(-13) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14120.62602 to the nearest integer.\nAnswer: 14121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568440582 and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 2*z)*(-4 + 0 + 3) + (-2*z - 2*z + 3*z)*(15 + 0 + 2).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**13*i*i\/(i\/i**7)*i\/(i*i\/(i\/(i\/((i\/i**(4\/3))\/i))))*i**6 assuming i is positive.\nAnswer: i**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -0.5 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:31 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 - (8 - (5 + (5 - (18 - 11)))).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 + 4*r + 2. Let v be 1\/10*35*(0 + 2). Let h be n(v). Let k = -11 + h. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12011022011022 (base 3) to base 10\nAnswer: -2741885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319, 10, 0, -2337 in decreasing order.\nAnswer: 10, 0, -319, -2337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -13687.767606618?\nAnswer: 13691.767606618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let l(b) be the second derivative of 5*b**4\/4 + b**3\/3 - 113*b. What is h(l(f))?\nAnswer: 45*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -36) + -4 + 0. Suppose -75 = -3*k + 3*z, 0 = k - 3*k - z + u. Let y be -4*(-1)\/(k\/15). Solve 5*n + 17 = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 36\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*y**2 + 86*y**2 - 2*y**5 + 3*y**5 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 1880 = -12709. What are the prime factors of q?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.54 plus 18?\nAnswer: 16.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 4. Let b(d) = -d**3 + 5*d**2 + 7*d - 6. Let l be b(6). Let x be 1\/(-2)*0 + l. Determine a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 591395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23007 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (19 + -32 + 20) - (5 + 35).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*l - 34 = 0, 5*l + 13 + 12 = 0. Let c = 385 + -365. Solve q*z - c = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15111362.7 to the nearest 100000.\nAnswer: -15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6176*d**2 + 6172*d**2 - 3 + 3 - 12349*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -24, 2 in decreasing order.\nAnswer: 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 11:01 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2229 + -1.9471. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i + 69*i = 121*i - 5, -5*i + 1 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 5\/3 (b) 1 (c) 30 (d) 1288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 10\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - v**3 + 3*v**3 - 5*v**3 - 3*v**3 + 5*v**3 + (v**2 - 3*v**2 + 4*v**2)*(-2*v - 4 + 4))*(-2*v + 2*v + 2*v).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 432.4 + -475. Let j = 40.6 + l. Sort 0.2, -5, -39, j.\nAnswer: -39, -5, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, m: 1, p: 2, q: 1, v: 1}. What is prob of picking 1 n and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -482979389 and 0.3.\nAnswer: -144893816.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42118 - 23339. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 times -1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, 5*p = -m - 11 - 1. Suppose m*n + 70 - 7 = 0. Let s be (12\/n)\/((-12)\/42). Solve g = -s - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 145524.78 and -0.5.\nAnswer: 145524.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5189029*u. Let w(s) = 16*s**2. Determine g(w(a)).\nAnswer: 83024464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*p = 0, p + 2*p - 13 = 5*k. Let y be -7 - (k + 0) - -3. What is the common denominator of -5\/16 and (-9)\/(-18)*(-91)\/y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255*x**5 + x + 190 wrt x?\nAnswer: 5100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - 17*k**4 - 63*k**3 + 81*k**2 = 0. What is k?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/28, 2\/7, -4\/7 in descending order.\nAnswer: 2\/7, 3\/28, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1025, 1028, 1031, 1034?\n\"Answer: 3*m + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -2.1. Let x = 178.3 - 178.5. Put 4, o, x, 0 in ascending order.\nAnswer: x, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 5\/4*l**4 + 2\/3*l**3 - 63*l**2 - 4*l**6 + 0*l + 53 + 0*l**5. What is the third derivative of f(x) wrt x?\nAnswer: -1440*x**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose -3*o - 18 = 3*q, -q = -0*o - 2*o - c. Is -3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/7)*p)\/p)\/p**(-3\/7))**37 assuming p is positive.\nAnswer: p**(444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 38887958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86366544 to the nearest integer?\nAnswer: 9293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -s + 2*j + 21, 3*j = 2*s - 182. Let w = 8 + 5. Calculate the highest common divisor of s and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105161?\nAnswer: 7, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10034 and 4698.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-27) - 16\/(-6). Solve v + i = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2210 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146, -163, -184, -209, -238?\n\"Answer: -2*x**2 - 11*x - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 31 + 4*n + 0 - 2*n - n. Is d(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35610 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**31)\/(c**5*c))\/(c**(2\/3)\/(c\/(c\/(c\/c**(-10\/9))*c))) assuming c is positive.\nAnswer: c**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -48. What is the third derivative of -v*b**3 + 3 - 3 + 2*b**2 - 4*b**3 wrt b?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(-5 + 96\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.523 in -8, 1, 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60526 and 240962.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54240854*c**2*j - 1716*c**2*z**2 + 39962*c*z**2 + j*z**2 wrt j.\nAnswer: -54240854*c**2 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4 + 22*k - 48*k + 27*k + 2. Let o be a(-1). Solve 1 + 4 = -o*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 14*x**2 + 15*x + 19. Suppose 0*q - 5 = -2*q + 3*y, -5*q + 5*y + 15 = 0. Suppose -5*z + q*z = -15. Let m be i(z). Solve 7 - m = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 5, 0, -4, 78 in descending order.\nAnswer: 84, 78, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 3*h - 11. Let s be a(4). What is the closest to -1 in 2\/3, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 344? (a) -0.1 (b) 4\/7 (c) -2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 205*l**2 - 26*l + 26. What is u(1)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -11, -20, -33?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 4 - 47 - 2*w**3.\nAnswer: -2*w**3 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 3*v**3 + 3*v**3)*(6*v - 5*v + 17 - 15)*(0*v + v - 3*v) - 25*v**5 + 2*v**5 - 8*v**5.\nAnswer: -37*v**5 - 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*b**2 - 106*b**2 + 36*b**2 as q*b**2 + t + x*b and give q.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.687 to zero dps.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -0.1?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46, -66, -106, -172, -270, -406, -586?\n\"Answer: -q**3 - 4*q**2 - q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*k + 1288 = 7*z, -z + 435 = 5*k. What are the prime factors of z?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -0.6 (c) -3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 877045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713\/235 + ((-2)\/30)\/(62\/744)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, 2427, 5711, 10451, 16647, 24299, 33407?\nAnswer: 43971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmzjg. Give prob of sequence wm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -0.75?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -207, -702, -1683, -3312, -5751?\nAnswer: -9162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 498 = -2*s. Suppose -g + o = -4*o - s, o - 643 = -4*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 7*l**2 - 3*l**2 + 5*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3, 12 in ascending order.\nAnswer: -4, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4310360, 8620725, 12931094, 17241467, 21551844, 25862225, 30172610?\nAnswer: 34482999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7506.\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Suppose -4*f + 4*r = 0, 3*f = -g*r + 3*r + 10. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmtmmtddj. What is prob of picking 1 d and 1 t?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97 * 0.2.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - u + 11, 2*q - 4*u = u + 1. Let v = q + 10. Suppose -v*l - 2*l - 4*s + 298 = 0, -3*l - 3*s + 177 = 0. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 24 + (5 - 8 - 7)*(-3 + 2 - 1))*(-2*w + 2*w - w) - 3*w + 0*w + 0*w.\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0 + 1\/20*t**5 - 1\/3*t**3 + 0*t + 1\/8*t**4 - 33*t**2. Let q be l(-2). Solve m + q = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31.105 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*n + 425, 0*n + 3 = -n. Suppose r = q - 21, 0 = 3*r + 2 - 17. What is the highest common divisor of j and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/7*-1)\/(37*(-27)\/(-6993))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + 7 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, 0.03, -40, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.0258?\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -10) + (199 - 214 - (2 - 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 16*r**2 + 15*r. Let q be f(15). Suppose 10*k - 9*k - 5 = q. Solve -7*p = -k*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - k)*(0*k + 0 - 2 + 5*k).\nAnswer: -5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*u - 315*u - 320*u - 321*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 754973399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2*u)\/((u\/(u**6*u))\/u)*(u**(-1))**36*u\/(((u*u\/((u*u**(-7))\/u*u*u)*u*u)\/u)\/u*u*u)*u**2*(u*u**1)**42 assuming u is positive.\nAnswer: u**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 53\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*v + 22*v - 12 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307 is divided by 653.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 3\/26 in descending order.\nAnswer: 0.2, 3\/26, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*r - 20 + 3, 2*o = 5*r + 20. Let l(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + 3*p**3\/2 + p**2. Is 3 a factor of l(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*z - 92 + 137, 2*z + 2*f = -6. Solve -3*y + z = n, 2*n = 2*y + 3*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8956 = -33*q + 36*q, 5*v - 5*q = 22415. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -18.936. What is v rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 4 (c) -1 (d) -2 (e) 8\/33 (f) 4443 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2021 + 2010. Which is the nearest to -2\/3? (a) 0.5 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 14\/10. Let l be -1*(f + -2 - 0). Let p(m) = m**2. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2200, 4345, 6488, 8629, 10768?\n\"Answer: -x**2 + 2148*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*t - 35 + 22, -7*q + 28 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26443*m**3*n**2 + 2*m**3 + 47*m*n - 150*n wrt n.\nAnswer: -52886*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**5\/300 - j**2\/2 + 5. Let b(r) be the second derivative of k(r). Factor b(v).\nAnswer: v**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, w: 4, a: 4}. What is prob of sequence nn?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (29 + (-7 - 6) - 18).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2053 + 0.5053. Which is the closest to -1? (a) 2\/367 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3094\/560 - (-12)\/(-30) - 4. Let y(u) be the first derivative of -4*u**3 + 20 + v*u**4 + 3\/5*u**5 + 0*u + 3*u**2 - 1\/4*u**6. Solve y(j) = 0 for j.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 + 4*c - 5. Let v be a(-5). Let x = -31 + v. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 13*s - 33. Let m be l(8). Let g = -133 + 308. What is the greatest common divisor of g and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98787.\nAnswer: 3, 13, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24132 (base 10) in base 6?\nAnswer: -303420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135462965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1\/6*g**6 - 4 + 0*g**2 + 0*g**5 + 0*g - 1\/3*g**3 + 0*g**4. What is the third derivative of h(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 257, 925, 2277, 4553, 7993, 12837, 19325?\nAnswer: 27697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 35. Calculate the highest common factor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -329*w + 19. Give d(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 2*o. What is the remainder when y(-4) is divided by 14\/(-10)*(-11 - 4)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1*10\/(-12)*(-184)\/(163760\/(-2937))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/28 + (-2)\/7. Let q be 0\/(v\/(-3)*3). Suppose z - 32 = -3*d + 2*z, 5*d - 3*z - 60 = q. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 105, 222, 355, 510?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*t**2 - 13*t**2 - 46*t**2 - 21*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -26, -70, -150, -278, -466, -726?\n\"Answer: -2*z**3 - 6*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 1 - 11*u + 10*u - 4*u**3 - 3*u**2 to m + z*u**2 + x*u**3 + t*u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85b (base 12) to base 15.\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 2*d + 6*d)*(311*d - 232*d - 364*d) + 0*d**2 + 3*d**2 - 2*d**2 to q*d**2 + a*d + h and give q.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/4 - 13*j**3\/4 - 19*j**2\/4 + 73*j\/4 - 21\/2 = 0. Calculate j.\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 + 10 - j - 38)*(j + j + 0*j + (0 + 2 + 0)*(5*j - j - 3*j)) as h*j + i*j**2 + y and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxaqlqxxlfsxsss. What is prob of picking 3 s and 1 f?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1272\/594 - 10\/45\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 47.5. What is the nearest to 0.1 in -0.2, k, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 402050?\nAnswer: 402054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 - 571 = -z. Let b = z - 488. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 160546, 3, 16 in descending order.\nAnswer: 160546, 16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/19 (b) -0.4 (c) 0.1 (d) 0.135 (e) -0.7 (f) -3 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 1, r: 2, a: 1, g: 1, p: 2}. Give prob of sequence lrkp.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (1 - ((-8 - -5) + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:40 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10404662*g**5 + 6110*g**2 + 29*g - 7?\nAnswer: -624279720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97419 is divided by 1709.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-70)\/8)\/(3\/144*-2). Suppose 9*j - 14*j = -o. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/5 - 3128*o\/5 + 688082 = 0. What is o?\nAnswer: -2309, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 43225247.\nAnswer: 43225246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - 39\/15. Let m = q + 45. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2664.2 - 2331. Let t = k + -334. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642812 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43681866?\nAnswer: 2, 3, 7280311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 10. Calculate z(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.058640628 to 5 decimal places.\nAnswer: -0.05864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581256 and 3403816.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14229 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200.5 + -200. What is the second smallest value in 9.2, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42986089*p**3 + 807*p + 18074.\nAnswer: 257916534*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from vagqwqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28896844*v**3 - 279684326*v wrt v?\nAnswer: -173381064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -7. Suppose 0 = -g*k + 13*k - 292. Let h = 73 + k. Solve u = -4*n - h*u + 4, u - 4 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 153309.\nAnswer: 459927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264\/875 - -2\/125. Let u = 2 + -2.1. Which is the closest to 3? (a) m (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325) + -5 - -5*(-2 + sqrt(325)))**2*-6*5.\nAnswer: -355320 + 21600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 3*c**2 + 3*c + 7. Let f = 204 - 288. Let m = f + 87. Calculate the remainder when 83 is divided by z(m).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2824, -2673, -2436, -2113, -1704, -1209, -628?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 105. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + ((-30)\/(-2) - -2). Suppose -3*d - 2*d = -u. Suppose -4*j - 2*g + 10 = -6, d*j = 2*g + 16. Solve -2*y - 2*q + 0*q = 0, j*y - 4*q = -40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1164 and 5\/562.\nAnswer: 327084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 282*d**4*o - 2*o wrt d?\nAnswer: 1128*d**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r**2 + 3*r. Let f(b) = -78 + 42 + 36 - b. Calculate 3*f(t) + x(t).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Suppose -5*l + 4*f + 8 = -13, 2*f = h*l - 18. Solve 2*d + 33 = -l*v, 3*v - 14 = 5*v + d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from xxxyyxxx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307228 is divided by 101650.\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5 + 26*o**4 - 38*o**3 - 82*o**2 + 184*o - 88 = 0.\nAnswer: -2, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.93876 + 0.06124. Suppose 2*l = -0*l + 4. What is the third biggest value in l, y, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -29. Which is greater: l or -451?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17796.311 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {l: 2, p: 8, u: 1, v: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0*a**4 + 0 + 0*a**3 - 6*a - 1\/10*a**5 + 0*a**2. Let c(q) = 3*q**3 + 1. Calculate -3*c(t) - 5*k(t).\nAnswer: t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55621458.7 rounded to the nearest 10000?\nAnswer: 55620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -12, 8\/11, 5, 0.4, 2 in ascending order.\nAnswer: -12, 0.4, 8\/11, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 62*p - 6. Give l(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 17 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, m: 5, d: 5}. What is prob of sequence mbm?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156635.\nAnswer: 5, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -21.81. Let o = j - 0.14. Sort -5, -2, 0.1, o in ascending order.\nAnswer: -5, -2, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204055 and 8581340?\nAnswer: 5515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62852154 to the power of 1\/2, to the nearest integer?\nAnswer: 7928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-1\/12)*d)\/d))\/(d\/(d\/(d\/d**(-1\/6))*d))*d**1\/(d*(d**(-2\/9)*d)\/d))**(2\/143) assuming d is positive.\nAnswer: d**(41\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.735764 millimeters?\nAnswer: 0.0735764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*r - 33*r + 126*r**2 + 101*r - 165*r.\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 + 38 = s, 4*n = 2*s + 60. Suppose b + n = 4*b. Suppose -5 = d, -5*d + 9*d = b*y - 195. What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**2\/7 + 42912*w\/7 + 42906\/7.\nAnswer: 6*(w + 1)*(w + 7151)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3680080 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:35 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94927.88m in kilometers?\nAnswer: 94.92788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 6. Suppose 17 = 2*h - 9. Suppose 14*s = h*s - 5. Let t(m) be the first derivative of -m**2 + 7*m + 9. What is s*l(y) - 4*t(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1 = -11. Let a be l + -1 + (2 - 3). Suppose 3*v - a = 34. List the prime factors of v.\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 1427911, 1427912, 1427913, 1427914, 1427915?\n\"Answer: t + 1427910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*z + 189 = 0, -3*g = 2*z - 0*z + 276. List the prime factors of (g\/12)\/((-6)\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -166*b**2. Let k(m) = 17*m**2. Give k(f(j)).\nAnswer: 468452*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 11.8. Which is the nearest to -1? (a) -0.4 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1560 or 1562?\nAnswer: 1560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5 + d**4\/12 + d**3\/6 - 2*d. Let x(p) = -p**3 + p + 4. What is the lowest common multiple of x(0) and a(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.864 smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v**3 - 7*v**2 + 6*v - 6. Let j(r) be the first derivative of 11\/4*r**4 - 2*r**3 - 5*r - 103 + 5\/2*r**2. Give 6*j(d) - 5*q(d).\nAnswer: 6*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 210\/151?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-5) - 25415\/575?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 - 24.9. Let l = a - -21.999956. What is l rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 + g + 4. Let w be q(-1). Solve -b - 10 = 3*r + r, -4*r + 2*b - 16 = w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.572 * -545\nAnswer: 2491.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 - 40*q**2 + 25*q + 9. Calculate g(10).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10793, 10740, 10687, 10634, 10581, 10528?\nAnswer: 10475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 h when three letters picked without replacement from {h: 1, u: 1, n: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3033 is divided by 840?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*10)\/(1\/(-2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -8*i**2 + 2*i + 30. Let o(p) be the first derivative of 7 - 8 + p**2 - 3. Determine u(o(r)).\nAnswer: -32*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/5))**(-47)*((m*m**(-1\/8)\/m*m*m)\/m)\/(m\/(m*m\/(m\/(m*m*m**3))*m*m)) assuming m is positive.\nAnswer: m**(-813\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 100*k**2 - 3*k - 55. What are the prime factors of f(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = k - 9, 2*k = -3*l + 13. Suppose -5*f = -2*y + 21, 2*f = 2*y - 0*y - 12. Suppose 28 = l*t + y. What is the closest to 0 in 1, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 905964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -5745758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 270. Let a(t) = 20*t**2. Determine z(a(g)).\nAnswer: 20*g**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (-16 - -4 - -20) - -43\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -34. Let u = -17 + a. Calculate the remainder when 77 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1382 - -1381.9999331. What is z rounded to 6 decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - -16. What is the greatest common factor of 392 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364715?\nAnswer: 5, 13, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*y**4\/3 - 43*y**3\/3 + 155*y**2\/3 + 43*y\/3 - 20 = 0. What is y?\nAnswer: -20\/19, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.4 + -11. Sort 2\/21, -0.1, h in increasing order.\nAnswer: -0.1, 2\/21, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 4. Let r be g(5). Put r, 5, -1\/4 in decreasing order.\nAnswer: 5, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1409494635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3874.944l to millilitres.\nAnswer: 3874944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxrxxpxpxxrxxxgllr. Give prob of picking 1 p, 1 l, and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 223, 1179, 2771, 4999, 7863, 11363, 15499?\n\"Answer: 318*n**2 + 2*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - 4.1. Let j = o - -5.02. Let y = 0.08 + j. What is the third biggest value in 3\/2, y, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*q**3 + 5*m*q**2*t - 8*m*q - 96*m + 107746*q**3*t + 2*q**3 - 2*t + 27 wrt t.\nAnswer: 5*m*q**2 + 107746*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -132\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3261\/28 - 1034\/7. Let i = -5 + 4.9. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31562 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.9 (c) -4.6655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmwllsqwll. What is prob of sequence swlw?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -473110734 - 2?\nAnswer: -473110736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-4)*(-2 + 5)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1836307378 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81435965.\nAnswer: 5, 13, 79, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 208 + 1559*h + 211 - 634 + 215 as l*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 778*c - 905*c + 1778 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Factor 3*w**4 - 2*w**i + w**4 + w**4 - 3*w**2.\nAnswer: 3*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -189.17. Let j = 0.8299907 - r. Round j to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*g + 41, -2*z - 4*g = -4*z + 78. Suppose 39*v = z*v + 50. Solve 5*p - 5 = -v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00730705908 to 5 decimal places.\nAnswer: 0.00731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wme when three letters picked without replacement from niyiwywmwwneywn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 3*o**5\/10 + 5*o**4\/12 - 5*o**3\/6 + 2*o. Let m(i) = -6*i**2 - 5*i**3 - 2*i**3 + 4*i - 5*i + 7*i. Calculate -6*d(u) - 5*m(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Let b be t(-2). Let a = -109 + -9. Is b\/((-120)\/a - 1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*w - 55 + 6, 3*v = 4*w - 71. Let k = -11 - v. Suppose -t + k = -15. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 0.0347?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 v when three letters picked without replacement from {v: 3, c: 2, r: 1, i: 4, x: 1, w: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from {o: 4, w: 2, s: 1, d: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 + 36*a**3\/7 - 222*a**2\/7 + 184*a\/7.\nAnswer: 2*a*(a - 4)*(a - 1)*(a + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5216 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 117 + 110 + -146 + -151\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1054558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2*y + 0*y - 4*y)*(1 + 11 + 3).\nAnswer: -30*y + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2. Let z be q(-1). Suppose 3*a - 4*o - 30 = 0, -2*a - z*o - o = -40. What is the least common multiple of 20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w**5 - 191*w**4 - 141*w**3 - 10*w. Let x(m) = -12*m**5 + 95*m**4 + 71*m**3 + 6*m. Let j(v) = -3*i(v) - 5*x(v). Determine a, given that j(a) = 0.\nAnswer: -2\/3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 3 - 3 + (1 - 2 - 2)*(-228 + 228 + 67*p))*(-2 - 3 + 6) as t*p + k and give t.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.186 to the nearest integer.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bruuurbuburursrbbbb.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -32, 5, -1\/4, 2\/25, -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 24)*(-3*t - 3*t + 4*t) + (2 + 1 - 4)*(2 + 6*t - 2).\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.69711cm in meters?\nAnswer: 0.3469711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541287.7 millennia to centuries.\nAnswer: 5412877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 24*m**2 - 2*m - 19. Let y be u(-12). Suppose 5*g - 8*g - 24 = -3*w, 5*w + y*g = 50. Is w >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4) + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1977 = 3*i, -5*c - 3*i = -i - 1978. Suppose c = 2*l - 0*l. Let z = 87 + -65. Calculate the greatest common factor of l and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 2, x: 1, g: 2, w: 4, y: 1}. Give prob of picking 1 u, 1 y, 1 w, and 1 g.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 3, b: 7, v: 4, s: 1}. Give prob of picking 1 w and 1 b.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 - -7 - 7 - (-1 + -32) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 6*(2 + sqrt(125)))*-4)**2.\nAnswer: 13440*sqrt(5) + 75136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = t + 1986, u + 4*t - 993 = 2*t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*h = 3 - 13, -h + 8 = 3*m. Suppose -3*i - 39 = -m*n, -n - 16*i + 52 = -11*i. What is the least common multiple of 384 and n?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1637*w - 1045 + 1045 to the form o + b*w and give b.\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 3, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4092751 times 3\nAnswer: -12278253","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*q + 8. Suppose -t + 73 = q. Calculate the greatest common divisor of 42 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}